juan parents purchasse a flat screen television The screen measure 45 inches on the diagonal The base of the screen is 36 inches long what is the height of the television screem
Answers
Answer:
27 inches
Step-by-step explanation:
consider the diagonal 45 inches as A C [the hypotenuse of the right angled triangle
A B C] and the base 36 inches as A B and the height as B C
By Pythagoras Theorem,
AB2+BC2=AC2
(36)2+BC2=(45)2
BC2=(45)2−(36)2
BC2=(45+36)(45−36)[usingtheformulaa2−b2=(a+b)(a−b)]
BC2=81∗9
BC=81∗9−−−−−√
BC =9∗3=27inches
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Related Questions
How does one calculate a television's height and width based on its diagonal length and aspect ratio?
How does one calculate a television's height and width based on its diagonal length only?
Television screens are measured by the length of the diagonal. If a flat TV has a 75-inch diagonal and if the screen is 15 inches wider than its height, then what is the width of the screen?
What are the actual dimensions of a 42-inch flat screen television?
How do I know the width of a TV monitor based on it's diagonal measurement?
How wide is a 50" TV?
so it would equal 27
Related Questions
let y be a standard normal random variable, and x be the value of y rounded to the nearest integer. what is the probability x is odd?
Answers
The probability x is odd 0[Φ(1.5+2k)−Φ(0.5+2k)].
Let Y first follow the normal distribution described by N. (0,1). Let X represent the result obtained by rounding Y to the nearest integer.
Normal random variable-To give you an idea, the CLT states that, under certain circumstances, the distribution of the total will be about normal if you add a lot of random variables.
The standard normal random variable is initially defined. We'll then see how scaling and moving a regular normal random variable allows us to create other normal random variables.
2∑∞k=0P(0.5+2k≤Y≤1.5+2k)
=2∑∞k=0[Φ(1.5+2k)−Φ(0.5+2k)]
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Pollyomial Roller coaster project! HELP PLEASE
please show all work, below is an example, rubric, and what's needed in this graph.
please show the graph and Factored form
Thank you
Answers
The description of the polyomial roller coaster project is shown below
Solving the polyomial roller coaster projectProposal for the "Imaginary Rush" Roller Coaster:
Coaster name: Imaginary RushFactored form of polynomial: 1/10(x + 1)(x - 2)(x - 4)(x + 5i)(x - 5i)Standard form of the polynomial: f(x) = 1/10[x⁵ - 5x⁴ + 27x³ - 117x² + 50x + 200]The polynomial's graph is attached
Description of how client specifications are met:
The coaster starts on ground level, as the graph of the polynomial crosses the x-axis at x = -1.The coaster goes underground, as the graph dips below the x-axis at x = 4.The coaster includes the imaginary root, as the polynomial has two complex roots at x = 5i and x = -5i.The coaster "grazes" the ground, as the graph of the polynomial touches the x-axis at x = 2.Interpretation of the practicality of the design:
The design of Imaginary Rush is both exciting and practical. The coaster meets all the client's specifications while also providing a thrilling ride for coaster enthusiasts.
The dips and peaks of the coaster follow the behavior of the polynomial, providing a unique experience for riders.
The use of the imaginary root adds an additional level of excitement to the ride, making it stand out from other roller coasters.
Overall, the design of Imaginary Rush is both fun and practical, making it an excellent addition to any theme park.
Discussion of the polynomial's behaviors:
Tail Behavior: As x approaches negative infinity, the value of the function approaches negative infinity. As x approaches positive infinity, the value of the function approaches positive infinity.Relative Maxima/Minima: The polynomial has a relative maximum at x = 2 and a relative minimum at x = 4.Intervals of increasing/decreasing behavior: \(\mathrm{as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:-\infty \:\), \(\mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:-\infty \:\)Read more about polynomial at
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HELPPP WITH THIS PLEASEEEEEE
Answers
Answer:
Width=8
Length=11
It's an 8m x11m rectangle.
Step-by-step explanation:
2L+2W= 38
2(w+3)+2w=38
2W+6+2w=38
4W=32
W=8
L=W+3=8+3=11
CHECK: 8+8+11+11=38
The diagonals of a rectangle measure x+5 feet and 2x+1 feet what is the value of x?
Answers
The value of x is 4.
Given that diagonals of a rectangle measure x+5 feet and 2x+1 feet as shown in the attached figure.
The diagonal of a rectangle is a line or straight line that connects the opposite corners or vertices of the rectangle.
In the given figure ABCD is a rectangle.
OA=2x+1 and OD=x+5 [Given]
AC and BD are diagonals of a rectangle.
As we know that the diagonals of a rectangle are always equal.
So, AC = BD
We can also write it as,
2×OA=2×OD
2×(2x+1) =2×(x+5)
Apply the distributive property a(b+c)=ab+ac, we get
4x+2=2x+10
Subtract 2x from both sides, we get
4x+2-2x=2x+10-2x
2x+2=10
Subtract 2 from both sides, we get
2x+2-2=10-2
2x=8
Divide both sides by 2, we get
2x/x=8/2
x=4
Hence, the value of x=4 when diagonals of a rectangle measure x+5 feet and 2x+1 feet.
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a new superman mastercard has been issued to 2000 customers. of these customers, 1500 hold a visa card, 500 hold an american express card and 40 hold a visa card and an american express card. find the probability that a customer chosen at random holds a visa card, given that the customer holds an american express card.
Answers
The probability that a customer chosen at random holds a Visa card, given that the customer holds an American Express card, is 40/500 = 0.08.
How does one determine probability?The number of possible outcomes is divided by the total number of possible outcomes to determine probability. Odds are not the same as probability. Odds are calculated by dividing the chance of a given event by the probability that it won't.
Why does probability matter?Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures and the risk of health impacts are related.
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The data on the right represent the number of live multiple-delivery births (three or more babies) in a particular year for women 15 to 54 years old. Use the data to complete parts (a) through (d) below.
Age 15-19 20-24 25-29 30-34 35-39 40 44 45-54 Number of Multiple Births 89 508 1631 2822 1855 374 119 (a) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30 to 39 years old P(30 to 39) =______
(Type an integer or decimal rounded to three decimal places as needed.)
(b) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was not 30 to 39 years old. P(not 30 to 39)=_____ (Type an integer or decimal rounded to three decimal places as needed.) (c) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was less than 45 years old. P(less than 45)=_____
(Type an integer or decimal rounded to three decimal places as needed.) (d) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was at least 40 years old. Interpret this result. Is it unusual? Find the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was at least 40 years old. P(at least 40) =_____ (Type an integer or decimal rounded to three decimal places as needed.) Interpret this result. Select the correct choice below and fill in the answer box to complete your choice. (Type a whole number.) A. If 1000 multiple births for women 15-54 years old were randomly selected, we would expect about of them to involve a mother who was at least 40 years old. B. If 1000 multiple births for women 15-54 years old were randomly selected, exactly of them would involve a mother who was at least 40 years old. Is a multiple birth involving a mother who was at least 40 years old unusual? A. Yes, because the probability of a multiple birth involving a mother who was at least 40 years old is greater than 0.05.
B. Yes, because the probability of a multiple birth involving a mother who was at least 40 years old is less than 0.05. C. No, because the probability of a multiple birth involving a mother who was at least 40 years old is greater than 0.05. D. No, because the probability of a multiple birth involving a mother who was at least 40 years old is less than 0.05.
Answers
Using the given data on the number of live multiple-delivery births for women aged 15 to 54, we need to calculate probabilities related to the age groups of the mothers. The probability of a randomly selected multiple birth involving a mother aged 30 to 39 will be determined, as well as the probabilities of not being in the age range, being less than 45, and being at least 40. Finally, we need to interpret whether a multiple birth involving a mother aged at least 40 is unusual.
(a) To calculate the probability of a randomly selected multiple birth involving a mother aged 30 to 39, we sum the number of multiple births in that age group and divide it by the total number of multiple births for women aged 15 to 54.
P(30 to 39) = 2822 / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
(b) To find the probability of a randomly selected multiple birth involving a mother who is not aged 30 to 39, we subtract the probability found in part (a) from 1.
P(not 30 to 39) = 1 - P(30 to 39)
(c) To determine the probability of a randomly selected multiple birth involving a mother aged less than 45, we sum the number of multiple births for age groups below 45 and divide it by the total number of multiple births for women aged 15 to 54.
P(less than 45) = (89 + 508 + 1631 + 2822 + 1855 + 374) / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
(d) To find the probability of a randomly selected multiple birth involving a mother aged at least 40, we sum the number of multiple births for age groups 40-44 and 45-54, and divide it by the total number of multiple births for women aged 15 to 54.
P(at least 40) = (374 + 119) / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
Interpretation: The answer to part (d) will determine whether a multiple birth involving a mother aged at least 40 is unusual. If the probability is less than 0.05, it can be considered unusual. Therefore, we need to compare the calculated probability to 0.05 and select the correct choice.
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Find the area of the shaded region.
11 yd
22 yd
5 yd
Answers
The shaded region of the provided number is 214.5 yards, according to the given statement.
Rectangle: What does that mean?A rectangular shape is an illustration of a trapezoid with proportionate and matched opposite sides. It has four sides, four 90-degree borders, and is shaped like a rectangular. Any shape with only two sides is said to be rectangular.
Calculating Area by Subtracting Area from Two as well as More Regions: To determine the area for combined figures consisting of basic forms that overlap, deduct the area of the unshaded figure from the total area to obtain the area of the shaded region.
For illustration, let's calculate the size of the shaded section in the provided picture.
It is clear from the provided picture that a triangular and a rectangle have overlapped. We must deduct the triangular area from the size of the parallelogram in order to determine the area about the shaded figure. Area of the shaded figure =
Area of the rectangle −
Area of triangle
=l×b−12×b×h
=22×11−12×11×5
=214.5yd2
Hence, the area of the shaded figure is 214.5yd2
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Find all solutions to the following pair of equations:
Answers
Longitud de circunferencia si diámetro es 32cm
Answers
Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.
How to solve for the circumferenceLa fórmula para calcular la longitud de una circunferencia es:
Longitud = π * Diámetro
En este caso, si el diámetro es de 32 cm, podemos calcular la longitud de la siguiente manera:
Longitud = π * 32 cm
El valor de π (pi) es una constante que representa la relación entre la circunferencia de un círculo y su diámetro. Usualmente, se aproxima a 3.14159.
Por lo tanto, la longitud de la circunferencia sería:
Longitud ≈ 3.14159 * 32 cm
Calculando el resultado:
Longitud ≈ 100.53096 cm
Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.
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i dont know help me i am so confused?
Answers
Answer:
the answer should be 16, if you're looking for X that is
2. The following set of count readings was made in a gradient-free γ-ray field, using a suitable detector for repetitive time periods of one minute: 18,500;18,410; 18,250;18,760;18,600;18,220;18,540;18,270;18,670;18,540. (a) What is the mean value of the number of counts? (b) What is its standard deviation (S.D.)? (c) What is the theoretical minimum S.D. of the mean? (d) What is the actual S.D. of a single reading? (e) What is the theoretical minimum S.D. of a single reading?
Answers
The inflection point of f(t) is approximately t = 3.73.
(a) To determine if the function f(t) = -0.425t^3 + 4.758t^2 + 6.741t + 43.7 is increasing or decreasing, we need to find its derivative and examine its sign.
Taking the derivative of f(t), we have:
f'(t) = -1.275t^2 + 9.516t + 6.741
To determine the sign of f'(t), we need to find the critical points. Setting f'(t) = 0 and solving for t, we have:
-1.275t^2 + 9.516t + 6.741 = 0
Using the quadratic formula, we find two possible values for t:
t ≈ 0.94 and t ≈ 6.02
Next, we can test the intervals between these critical points to determine the sign of f'(t) and thus the increasing or decreasing behavior of f(t).
For t < 0.94, choose t = 0:
f'(0) = 6.741 > 0
For 0.94 < t < 6.02, choose t = 1:
f'(1) ≈ 14.982 > 0
For t > 6.02, choose t = 7:
f'(7) ≈ -5.325 < 0
From this analysis, we see that f(t) is increasing on the intervals (0, 0.94) and (6.02, ∞), and decreasing on the interval (0.94, 6.02).
(b) To find the inflection point of f(t), we need to find the points where the concavity changes. This occurs when the second derivative, f''(t), changes sign.
Taking the second derivative of f(t), we have:
f''(t) = -2.55t + 9.516
Setting f''(t) = 0 and solving for t, we find:
-2.55t + 9.516 = 0
t ≈ 3.73
Therefore, The inflection point of f(t) is approximately t = 3.73.
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What’s the answer plss
Answers
The height till which the ladder will reach the wall will be 3.84 m.
What is defined as the trigonometric identity?Trigonometric Identities come in handy when trigonometric functions are used in an expression or equation. Trigonometric identities hold for all values of variables on both sides of an equation. Geometrically, these identities involve one or more trigonometric functions (including such sine, cosine, and tangent). The principal trigonometry functions are sine, cosine, and tangent, whereas the other three functions are cotangent, secant, and cosecant. All six trig functions are used to derive the trigonometric identities.For the given question,
The distance between the base of the ladder and the wall is 1.4 m.
The angle made by base of the ladder to the floor is 70 degree.
Let the height till which the ladder goes be 'h'.
Then, applying the trigonometric identity.
tan 70 = h/1.4
h = 1.4 × tan 70
h = 3.84 m
Thus, the height till which the ladder will reach the wall will be 3.84 m.
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J PLS HELP 8 MINUTES LEFT Ted Thumper, who bats at number eight, had an average (mean) of 14 last year. So far this year he has had these scores.
20,0,14,19,26,12,14,23,7
What is Jed's average this season so far?
What are the total runs Jed would need to get in his next three innings to get his average up to 16?
Answers
Answer:
answer is 15 and second one i dont know yet sorry am doing scoo
Step-by-step explanation:
Please help thanks, Which postulate can be used to prove the two triangles are congruent?
Answers
The postulate that can be used to prove the two triangles are congruent is the HL this is the last option
What is HL?HL is an acronym that means Hypotenuse Leg. The Hypotenuse leg theorem is used in proving angle congruency in right angle triangle.
The theorem says that, two angles of a right angle triangle that have equal
hypotenuse andany one legthen two triangles are congruent
The figure in the problem is a right angle triangle that is sharing same hypotenuse hence the hypotenuse is equal. and one other leg is marked to be equal
Therefore, this theorem says that the two triangle are congruent
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A line has a slope of 0 and passes through the point (6,-7). Write its equation in slope-intercept form.
Answers
The equation of the line in slope-intercept form is: y = -7 if a line has a slope of 0 and passes through the point (6,-7).
What is a slope?
Slope is a measure of the steepness or incline of a line. It describes how much the dependent variable (usually y) changes for a given change in the independent variable (usually x).
the equation of a horizontal line passing through the point (6,-7) has a y-coordinate of -7 for all values of x.
A line can be represented in slope-intercept form as:
y = mx + b
where m is the slope of the line and b is the y-intercept (the y-coordinate where the line intersects the y-axis).
If the slope of a line is 0, then the line is horizontal, meaning it does not go up or down (i.e., it is parallel to the x-axis). In this case, m = 0, so the equation of the line becomes:
y = 0x + b
y = b
This means that the y-coordinate of any point on the line is equal to the y-intercept, b.
We know that the line passes through the point (6,-7), so we can substitute x = 6 and y = -7 into the equation to solve for b:
-7 = b
Therefore, the equation of the line in slope-intercept form is:
y = -7
This means that the line is a horizontal line passing through the point (6,-7), and its y-coordinate is always -7, regardless of the value of x.
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Suppose that the scores on a statewide standardized test are normally distributed with a mean of 64 and a standard deviation of 2. Estimate the percentage of scores that were (a) between 60 and 68.
Answers
Answer:
95. 45%
Step-by-step explanation:
Given :
Mean score, = 64
Standard deviation = 2
Score between 60 and 68
P(Z < (x - mean) / standard deviation)
P(Z < (60 - 64) / 2) = P(Z < - 2) = 0.02275 (Z probability calculator)
P(Z < (68 - 64) / 2) = P(Z < 2) = 0.97725 (Z probability calculator)
P( score between 60 and 68)
P(Z < 2) - P(Z < - 2)
0.97725 - 0.02275 = 0.9545
Score between 60 and 68 = 0.9545 = 0.9545 * 100% = 95.45%
Could someone help me with this
Answers
The value of x is the sum of angle ABO and angle CDO because they are the acute angles made out of parallel lines.
Understanding Parallel LinesParallel lines are lines that are always the same distance apart and never intersect. They maintain a constant distance from each other as they extend indefinitely in both directions
Recall one of the theorem:
- Alternate angles made by 2 parallel lines are always equal.
Applying this theorem,
angle ABO + angle CDO = angle BOD
50° + 30° = x°
x° = 80°
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Find x. Give your answer in the
simplest form
x =
Enter the number that belongs in the green box
Answers
Answer:
Es in simplo deviso con lado
Solve.....Whatever this means XD
Answers
Answer:
x = -1
Step-by-step explanation:
Let me know in the comments if you need an explanation I tried to get it to you as quick as possible :)
Plus it looks in the picture like you only need the answer and you don't need work. :)
Giving Brainliest
A spy realizes his cover is blown and flees toward his secret evacuation spot at a speed of 60 mph. Two hours later, a special agent in a helicopter starts chasing the spy. The special agent travels the same route at a speed of 90 mph.
A What distance does the spy cover in t hours?
B What distance does the special agent cover in t hours?
C How fast is the distance between them reducing
D How far apart are the spy and special agent when the chase begins?
E How long does it take the special agent to catch the spy?
F At what speed should the special agent chase the spy if the evacuation spot is 240 miles from the setting point
Answers
The distance covered by the spy in t hours will be 60t while the special agent's distance is 90t.
How to calculate the distance?The distance covered by the spy in t hours will be calculated thus:
= 60 × t
= 60t
The distance covered by the special agent in t hours will be:
= 90 × t
= 90t
The difference in the distance between them every hour will be:
= 90t - 60t
= 30t
The distance between the spy and special agent when the chase begins will be:
= (2 × 60mph) - 0
= 120m - 0
= 120m
The time taken to catch the spy will be:
120 + 60t = 90t
90t - 60t = 120
30t = 120
t = 120/30 = 4
The special agent will catch the spy in 4 hours.
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Answer:
A: 60t
B: 90t
C: 30 mph
D: 120 miles away
E: 4 hours
F: 120 mph
Step-by-step explanation:
what is the slope of the line? please help 30 points
Answers
Answer:
what is the slope of the line? please help 30 points
Step-by-step explanation:
so the answer is (-3,1)
hope this helps you!!!!!!!!1
:D
:D
:D
;D
:D
:D
;D
Answer:
(-3, 1)
Step-by-step explanation:
The line goes down 3. . . cubes? units?
(I don't know what the little squares are called, I forgot)
Then it goes to the right 1 time
A study of 150 randomly selected american airlines flights showed that 108 arrived on time. what is the probability of an american airlines flight arriving late
Answers
0.2800 is the probability of an american airlines flight arriving late
What is probability?The foundational ideas of probability theory were established by Blaise Pascal and Pierre de Fermat, who are recognized as the fathers of probability.
Calculating or predicting how likely something is to occur is what probability is all about. The likelihood of an event occurring can be expressed using terms like "certain," "impossible," or "probable." Probabilities are always expressed in mathematics as fractions, decimals, or percentages with values ranging from 0 to 1.
The probability serves as a gauge for how likely an event is to occur. It gauges how likely an occurrence is. The probability equation is stated by the following notation: P(E) = number of favorable outcomes/number of total outcomes.
Let us assume ,
n = 150 be the total number of Airlines flights.
Out of 150 , 108 are on time.
That means 150 - 108 = 42 will be late.
Next, required probability is:
= 42/150
= 0.2800
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Use desmos to sketch the graph below. Write directions for translating the
original triangle to make the new triangle.
(Please use desmos to make new triangle and please explain how the new triangle got into its place, I only have a couple hours!! Please be quick!!!!)
Answers
The new triangle is οbtained by translating the οriginal triangle 2 units tο the left and 2 units up.
What is a translatiοn?A transfοrmatiοn is a prοcess οr οperatiοn that changes the pοsitiοn, shape, οr οrientatiοn οf a geοmetric figure οr an οbject in space. There are several types οf transfοrmatiοns, including translatiοn. A transfοrmatiοn that mοves every pοint οf a figure the same distance in the same directiοn, withοut changing its shape οr οrientatiοn is translatiοn.
The new triangle gοt intο its place thrοugh a translatiοn.
In this case, we can see that the translated triangle is οbtained by mοving the οriginal triangle 2 units tο the left and 2 units up.
Tο be mοre specific, we can use vectοr nοtatiοn tο describe the translatiοn. Let's call the vectοr that represents the translatiοn "v". We can find "v" by subtracting the cοοrdinates οf a vertex οf the οriginal triangle frοm the cοοrdinates οf the cοrrespοnding vertex οf the translated triangle. Fοr example:
v = (x₂ - x₁, y₂ - y₁) = (-2 - 0, 2 - 0) = (-2, 2)
This vectοr tells us that the translated triangle is οbtained by mοving the οriginal triangle 2 units tο the left and 2 units up. We can use this vectοr tο describe the translatiοn οf each vertex:
(0,0) + v = (-2, 2)
(-1,1) + v = (-3, 3)
(-1,-1) + v = (-3, 1)
Sο the new triangle is οbtained by translating the οriginal triangle 2 units tο the left and 2 units up.
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dried apricots with 3.25 were mixed with dried prunes worth 4.79 to produce a mixture of dried fruit, how much each kind of fruit was used to produce 25 ponds
Answers
14.84 pounds of dried apricots were used and 10.16 pounds of dried prunes were used to produce 25 pounds of the dried fruit mixture.
Let's call the weight of dried apricots used in the mixture "x" (in pounds). Then the weight of dried prunes used in the mixture is 25 - x (in pounds).
The cost per pound of dried apricots is 3.25, and the cost per pound of dried prunes is 4.79. So the total cost of the mixture is:
3.25x + 4.79(25 - x) = 3.25x + 119.75 - 4.79x
Expanding both sides:
119.75 = 8.04x
Dividing both sides by 8.04:
x = 14.84 pounds
So 14.84 pounds of dried apricots were used in the mixture, and 25 - 14.84 = 10.16 pounds of dried prunes were used in the mixture.
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14.84 pounds of dried apricots were used and 10.16 pounds of dried prunes were used to produce 25 pounds of the dried fruit mixture.
Let's call the weight of dried apricots used in the mixture "x" (in pounds). Then the weight of dried prunes used in the mixture is 25 - x (in pounds).
The cost per pound of dried apricots is 3.25, and the cost per pound of dried prunes is 4.79. So the total cost of the mixture is:
3.25x + 4.79(25 - x) = 3.25x + 119.75 - 4.79x
Expanding both sides:
119.75 = 8.04x
Dividing both sides by 8.04:
x = 14.84 pounds
So 14.84 pounds of dried apricots were used in the mixture, and 25 - 14.84 = 10.16 pounds of dried prunes were used in the mixture.
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What is the chord length (C) between PC and P?
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The chord length (C) between PC and P is 5.831 cm.
In order to determine the chord length (C) between PC and P, we need to first know what these points represent.A chord is a straight-line segment that connects two points on a circle. P is a point on the circumference of the circle, while PC is a chord of the circle that passes through P.
Therefore, the chord length (C) between PC and P is equal to half of the length of the chord PC. In other words, we need to find the length of PC and divide it by 2. We can do this using the Pythagorean Theorem since we have a right triangle formed by PC and the diameter of the circle.
Diameter of the circle (AB) = 20 cm
Radius of the circle (OA) = AB/2 = 10 cm
Height of the triangle (OP) = 6 cm
Using the Pythagorean Theorem, we can find the length of PC as follows:
PC² = PO² + OC²PC² = 10² + 6²PC² = 136PC = √136PC ≈ 11.661
Therefore, is equal to C = PC/2C = 11.661/2C ≈ 5.831 cm.
So, the answer to the question "What is the chord length (C) between PC and P? when the diameter of the circle = 20 cm and the Height of the triangle = 6cm" is 5.831 cm.
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Write the equation of the line in Slope-Intercept Form given the information below. Slope =4 Point =(1,−1) slope-intercept form
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Answer:
y = 4x + -1/1
-1/1 as a fraction. Down by 1 and right by 1
The equation of line in slope intercept form which is passing through
(1, -1) is y = 4x -5.
What is the slope of line?A slope of a line is the change in y coordinate with respect to the change in x coordinate.
What is the equation of line in slope intercept form?The equation of line in slope intercept form is given by y = mx + c.
According to the given question.
We have
The solpe of the line, m = 4
Also, the point through which the line is passing, \((x_{1} , y_{1}) = (1, -1)\)
Since, we know that the equation of line in slope intercept form of the line is given by
y = mx +c
Since, the above line is passing through (1, -1) and the slope is 4.
Therefore,
-1 = 4(1) + c
⇒ -1 = 4 + c
⇒ -1 -4 = c
⇒ c = -5
Substitute the value of m and c in the equation y = mx + c.
⇒ y = mx + c
⇒ y = 4x -5
Therefore, the equation of line in slope intercept form which is passing through (1, -1) is y = 4x -5.
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Evaluate the following expressions for x = 2. –9. 2(4 – x) –9. 2(4 – (2)) –9. 2(2) Evaluate the following expression for x = 2. -36. 8 9. 2x.
Answers
Answer:
Evaluate the following expressions for x = 2. –9. 2(4 – x) –9. 2(4 – (2)) –9. 2(2)
= -18.4
Evaluate the following expression for x = 2. -36. 8 9. 2x.
= -18.4
Answer:
Both are -18.4
Step-by-step explanation:
A car travels at 40 miles per hour. Deb wrote the equation y=40x. Deb then graphed the equation and noticed that the point (3, 120) was on the line. What does this point represent?
Answers
Answer:
the time spent
Step-by-step explanation:
are the following statements true or false? false 1. if two row interchanges are made in sucession, then the determinant of the new matrix is equal to the determinant of the original matrix. false 2. if is zero, then two rows or two columns are the same, or a row or a column is zero. false 3. the determinant of is the product of the diagonal entries in . false 4. .
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Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.
What is matrix ?
A matrix is a rectangular array of numbers or other mathematical objects, typically arranged in rows and columns. Matrices are often denoted using capital letters, such as A, B, and C. Each element of a matrix is identified by its row and column indices,
1) False, If two row interchanges are made in succession, the determinant of the new matrix is the negative of the determinant of the original matrix.
2) False, If the determinant of a matrix is zero, it does not necessarily mean that two rows or two columns are the same or a row or column is zero, it only means that the matrix is singular, i.e. non-invertible and it also can mean that the matrix is linearly dependent.
3) False, The determinant of a matrix is not always equal to the product of the diagonal entries, it is a scalar value calculated through a specific method called matrix expansion which is based on the entries of the matrix and it depends on the size of the matrix.
4) False, The determinant of a matrix is a scalar value, it cannot be equal to another matrix.
Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.
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810x+y=8. State each answer as an integer or an improper fraction in simplest form.
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The solution to the equation 810x + y = 8 is given by the expression y = 8 - 810x, where x can take any integer or fraction value, and y will be determined accordingly
To solve the equation 810x + y = 8, we need to isolate either variable. Let's solve for y in terms of x.
First, subtract 810x from both sides of the equation:
y = 8 - 810x.
Now, we have expressed y in terms of x. This means that for any given value of x, we can find the corresponding value of y that satisfies the equation.
For example, if x = 0, then y = 8 - 810(0) = 8.
If x = 1, then y = 8 - 810(1) = 8 - 810 = -802.
Similarly, we can find other values of y for different values of x.
Note: The equation does not have a unique solution. It represents a straight line in the x-y coordinate plane, and every point on that line is a solution to the equation.
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