9514 1404 393
Answer:
25) 90°
26) 85°
27) 60°
28) 80°
Step-by-step explanation:
In problems 25, 26, 28, the marked angles are adjacent interior angles, so have a sum of 180°. In problem 27, the marked angles are corresponding angles, so are congruent.
25) The two angles are equal, so each is 180°/2 = 90°.
__
26) (20x +5) +(24x -1) = 180
44x = 176 . . . subtract 4, simplify
x = 4 . . . . . . . divide by 44
20(4) +5 = 85
The bold angle is 85°.
__
27) 6x = 5x +10
x = 10
6x = 60
The bold angle is 60°.
__
28) (x+109) +(x+89) = 180
2x + 198 = 180 . . . . simplify
2x = -18 . . . . . . . . . . subtract 198
x = -9
x+89 = -9 +89 = 80
The bold angle is 80°.
I need help so yea I'll gve brainly
Answer:
2.95*10^4 or 29500
Step-by-step explanation:
(3*10^4)-(5*10^2)= 2.95*10^4
Answer:
D - 2.95x10^4
Step-by-step explanation:
(3x10^4)=30,000
(5x10^2)=500
so 30,000-500 = 29500 which is 2.95x10^4 so it must be d
hope this helped :)
could i get brainliest? x
What is the slope of a line that is perpendicular to the line y=-1/3x-6
OA. 3
OB. 1/3
OC. -1/3
O D. 3
Answer:
3
Step-by-step explanation:
3 is the complete oposite of -1/3 in terms of slopes, therefore they are perpendicular to each other.
six less than twice a number x is 38. what is the value of x
Based on the calculations, the value of number x is equal to 22.
How to determine the value of x?
In order to determine the value of x, we would translate the word problem into an algebraic expression.
For the expression, six less than twice a number x is given by:
2x - 6.
Next, we would equate it to 38:
2x - 6 = 38
2x = 38 + 6
2x = 44
x = 44/2
x = 22.
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what is the measure of HKI
need help asap pls will give a lot of points n brainliest!!!
Answer:
105 degrees
Step-by-step explanation:
Hope this helps!
A coin is flipped 5 times. Each outcome is written as a string of length 5 from {H,T}, such as THHTH. Select the set corresponding to the event that exactly one of the five flips comes up heads. a. { HTTTT, THTTT, TTHTT, TTTHT } b. { HTTTT, THTTT, TTTHT, TTTTH } c. { HTTTT, THTTT, TTHTT, TTTHT, TTTTH } d. { HTTTT, THTTT, TTHTT, TTTHT, TTTTH, TTTTT }
The correct answer is b. { HTTTT, THTTT, TTTHT, TTTTH } because this set includes all possible outcomes where only one of the five flips results in a heads (H) and the rest are tails (T).
How to find corresponding set to the event?In the context of the given question, the event refers to the specific outcome where exactly one of the five coin flips results in a heads (H) and the remaining four flips result in tails (T). Each element in the set represents a particular sequence of heads and tails in the five flips. For example, HTTTT represents the outcome where the first flip is heads and the remaining four flips are tails.
The set corresponding to the event that exactly one of the five flips comes up heads is:
b. { HTTTT, THTTT, TTTHT, TTTTH }
This set includes all possible outcomes where only one of the five flips results in a heads (H) and the rest are tails (T).
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A state offers specialty license plates that contain 5 numbers followed by 2 letters. License plates are assigned randomly. All license plates are equally likely. Findthe number of possible license plates that can be issued using this system.O1.188,137,600 possible license platesO 12,500 possible license platesO 67,600,000 possible license plates039,917,124 possible license plates
Given:
There are 5 numbers followed by 2 letters.
Solution:
To find the answer, we will have a plate number that consists of 5 numbers followed by 2 letters. In that 5 numbers, each place has 10 choices-from 0 to 9. It will be: 10 * 10 * 10 * 10 * 10 = 100,000 .
Now, for the letters, there are 26 letters in the alphabet. We have two places for the letters and each place have 26 choices-from A to Z that will give us: 26 * 26 = 676
We will now multiply the acquired data for both the numbers and letters to arrive at the correct answer.
100,000 * 676 = 67,600,000
ANSWER: 67,600,000 possible license plates
Soit trois nombres consécutifs. Lorsque l’on soustrait le double du deuxième nombre du quadruple du
premier nombre on obtient le triple du troisième nombre moins 15. Détermine quels sont ces nombres.
Answer:
Les trois nombres sont 5, 6 et 7.
Step-by-step explanation:
Soit x le premier nombre.
x + 1 sera le second et x + 2 sera le troisième.
On pose l'équation :
2x + 3(x + 1) = 4(x + 2)
2x + 3x + 3 = 4x + 8
5x - 4x = 8 - 3
x = 5
how many ways are there to distribute 15 distinguishable objects into five distinguishable boxes so that the boxes have one, two, three, four, and five objects in them, respectively.
There are 37,837,800 ways to distribute 15 distinguishable objects into five distinguishable boxes so that the boxes have one, two, three, four, and five objects in them, respectively.
We are trying to find the number of ways to distribute 15 distinguishable objects into five distinguishable boxes so that each box has 1, 2, 3, 4, and 5 objects in them, respectively.
We can use the formula for combination to solve this problem. The number of ways to distribute n distinct objects into r distinct boxes where the first box has k1 objects, the second box has k2 objects, ..., and the last box has kr objects is:
n! / (k1! * k2! * ... * kr!)
Where n! is the factorial of n, k1! is the factorial of k1 and so on.
In this case, we have 15 distinct objects and 5 distinct boxes where the first box has 1 object, the second box has 2 objects, the third box has 3 objects, the fourth box has 4 objects, and the fifth box has 5 objects.
So, the number of ways to distribute 15 distinguishable objects into five distinguishable boxes so that the boxes have one, two, three, four, and five objects in them, respectively is:
15! / (1! * 2! * 3! * 4! * 5!) = 15! / (1×2×6×24×120)
= 37,837,800
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Express the mixed number as an improper fraction with no common factors in the numerator and denominator. 5 1/4 help pls
The given mixed fraction 5 1/4 can be expressed as 21/4 in improper fraction.
A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.
A mixed fraction is one that has both a correct fraction and a whole number portion, and whose value is consistently greater than 1. An example of a mixed number is 325 3 2 5. When the numerator is always higher than or equal to the denominator, the fraction is said to be inappropriate.
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Find tn Will mark branliest!
The sequence is an arithmetic sequence
The equation of tn is Tn = -k^2 - k + 1 + (n - 1) * (k^2 + 2k + 3)
How to determine the equation of the functionFrom the question, we have the following parameters that can be used in our computation:
-k^2 - k + 1, k + 2, k^2 + 3k + 3, 2k^2 + 5k + 4
The above sequence is an arithmetic sequence
And the common difference (d) is
d = k + 2 + k^2 + k + 1
d = k^2 + 2k + 3
The nth term is then calculated as
Tn = a + (n - 1)d
So, we have
Tn = -k^2 - k + 1 + (n - 1) * (k^2 + 2k + 3)
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find x Finding an angle measure given extended triangles
Answer:
\(x = 34\)
......
......
...
Simplify using the multiplication rule.
A. the first one is the answer
Step-by-step explanation:
\(\sf \bf {\boxed {\mathbb { a. \:2 {y}^{2} \sqrt{6x}}}}\)
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)
\( \sqrt{4x {y}^{3} } \sqrt{6y} \)
\( = \sqrt{4 \times 6 \: x \: {y}^{(3 + 1)} } \)
\( = \sqrt{( {2})^{2} \times 6 \: x \: {y}^{4} } \)
\( = \sqrt{( {2})^{2} \times 6 \: x \: { ({y}^{2} })^{2} } \)
\( = 2 {y}^{2} \sqrt{6x} \)
\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)
Can someone help me do this
Answer:
X = 2
5y + (what is that number???) can not see it
What is the area of the figure?
PLEASE HELP ILL GIVE BRAINLIEST TO FIRST PERSON WHO GETS IT RIGHT
Answer:
112in^2
Step-by-step explanation:
area of square = 10*10
= 100in
area of triangle = (6*4)/2
= 12in
100+12= 112
area of shape = 112in
Answer:
The area of the figure is 112
Step-by-step explanation:
For area, you multiply length x width
For the triangle, you do HALF THE BASE x height
So for the square, it's fairly simple
10 x 10 = 100
For the triangle, it's a bit more complicated
So we know the length of the square is 10 inches
And we see a 6 inch mark at the top of the square, showing where the square ends and the triangle begins
So the base of the triangle is 10 - 6 = 4 inches
Also, the overall height of the figure is 16 inches, and the height of the square is 10 inches
So the height of the triangle is 16 - 10 = 6 inches
So 4 is the base of the triangle
And 6 is the height of the triangle
So we half 4, which gives us 2
2 x 6 = 12
The area of the triangle is 12
And we already determined that the area of the square is 100
100 + 12 = 112
The area of the whole figure is 112
Find the missing side in each triangle using any method.Check your answers using a different method.
AC=
YC=
tis noteworthy that the picture above has a typo, is not YC, it should be YX.
the triangles are similar by AA, therefore
\(\cfrac{16}{8}=\cfrac{YX}{17}\implies 2=\cfrac{YX}{17}\implies 34=YX \\\\\\ \cfrac{16}{8}=\cfrac{30}{AC}\implies 2=\cfrac{30}{AC}\implies AC=\cfrac{30}{2}\implies AC=15\)
One year, the population of a city was 358,000. Several years later it was 286,400. Find the percent decrease.
A percentage is a way to describe a part of a whole. The percentage decrease is 20%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
One year, the population of a city was 358,000. Several years later it was 286,400. Therefore, the percentage decrease is,
Percentage decrease = (358,000-286,400)/(358,000) × 100% = 20%
Hence, the percentage decrease is 20%.
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What is the value of the expression?
1/2 ÷ 6
Answer:
0.25
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
To solve this expression, we need to remember that division should be done before multiplication or addition/subtraction.
So we first simplify the expression by dividing 1/2 by 6:
1/2 ÷ 6 = 1/2 × 1/6
Next, we multiply the two fractions by multiplying their numerators and denominators:
1/2 × 1/6 = (1 × 1)/(2 × 6) = 1/12
Therefore, the value of the expression 1/2 ÷ 6 is equal to 1/12.
When the increment operator precedes its operand, as num, the expression is in ________ mode.
When the increment operator precedes its operand, as
++num, the expression is in prefix mode.
When the increment or decrement operator is placed before the operand ( to the operand's left), the operator is being used in prefix mode.
A prefix is defined by specifying its name with the name= keyword, its optional short name with the sname= keyword, optional input names with iname=, and the keyword prefix.
During an assignment of one variable to other the prefix mode of increment and decrement first increments or decrements the variable's value then updated value of the variable is used in assignment.
Postfix mode on the other hand is when the increment or decrement operator is placed after the operand (or to the oper and's right) .
Pre-increment, (for example, ++n) increments the value first, and then performs the specified operation.
Therefore, When the increment operator precedes its operand, as ++num, the expression is in prefix mode.
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explain the difference between an Expression and an Equation.
Answer:
An equation has a set value or a mathematical sentence that contains an = sign. An expression is a math sentence that contains numbers, letters, and symbols( not an = tho) and the value of the variable can change.Equations and expressions are often encountered when understanding mathematical concepts. If compared with language, expressions are like phrases while equations are complete sentences. Expressions have no relations whereas equations reveal relationships. You need to solve equations while expressions can only be evaluated.Step-by-step explanation:
pls give brainliest if i helped:)
The difference between the expression and an equation is explained below:
Difference between the equation and expression:The equation represents the mathematical value while the expression could include the numbers, letters, etc. The expression should be treated as phrases while the equations are considered to be complete sentences. The expression does not show any kind of relations while the equation should show the relationship.
In this way, it should be differentiated.
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Find the next three items in the sequence 3,12,21,30
A. 40, 50, 60
B. 38, 46, 54
C. 39, 48, 57
D. 36, 32, 39
Answer:
C
Step-by-step explanation:
add 9 to each number to next next number in sequence.
39, 48, and 57
Use cylindrical or spherical coordinates, whichever seems more appropriate to find the volume enclosed by the torus rho=10sin(ϕ). Draw the torus.
The volume enclosed by the torus is π^2/2.
To find the volume enclosed by the torus, we can use cylindrical coordinates.
First, let's sketch the torus. It is a donut-shaped object, with a hole in the middle. The radius of the hole is given by the parameter a, and the radius of the entire torus is given by the parameter b. In this case, we have
ρ = 10sin(ϕ)
This means that the radius of the torus varies with the angle ϕ. At ϕ = 0 and ϕ = π, the radius is 0, while at ϕ = π/2, the radius is 10.
Now, to find the volume enclosed by the torus, we need to integrate the volume element over the appropriate region. In cylindrical coordinates, the volume element is given by
dV = ρ dz dϕ dθ
where ρ is the radius, dz is the height, and dθ is the angle around the z-axis. In this case, we can assume that the torus is symmetric around the z-axis, so we only need to consider a quarter of the torus, from ϕ = 0 to ϕ = π/2 and from θ = 0 to θ = π/2.
The limits of integration for ρ, ϕ, and θ are:
0 ≤ ρ ≤ 10sin(ϕ)
0 ≤ ϕ ≤ π/2
0 ≤ θ ≤ π/2
Thus, the volume enclosed by the torus is given by:
V = ∭ dV = ∫∫∫ ρ dz dϕ dθ
V = ∫0^(π/2) ∫0^(π/2) ∫0^(10sinϕ) ρ dz dρ dθ dϕ
Solving this integral gives:
V = π^2/2
Therefore, the volume enclosed by the torus is π^2/2.
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4. What are the Z-scores for the following Confidence Interval levels? Remember, you MUST account for both tails of the curve, positive and negative, when identifying each. That means you will need to do a little math to obtain the correct z-value. 3 Points 68%= 85% = 99% =
In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.
Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.
We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)
Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!
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Emilio is standing on top of a 150 foot building. He observes a car moving toward him. If the angle of depression changes from 20 degrees to 45 degrees during the period of observation, how far does the car travel?
The answer to this question depends on the speed of the car and the time it takes for the angle of depression to change from 20 degrees to 45 degrees.
What is angle?Angle is an abstract concept in mathematics that describes the measure of rotation between two lines, or the amount of space between two lines that meet at a point. It is measured in degrees, with a full circle being equal to 360 degrees. Angles are essential for understanding shapes, as they help to define their boundaries and measure their area. Angles are also important in physics, as they help to determine the direction and magnitude of forces.
To calculate the distance the car travels, you would need to multiply the speed of the car by the time it takes to change the angle of depression.
The angle of depression is the angle between the horizontal line and the line of sight of the observer. When the angle of depression changes from 20 degrees to 45 degrees, the car must move closer to the observer in order for the angle of depression to increase. This means that the car must travel away from the observer in order to increase the angle of depression.
The speed of the car must be taken into account when calculating the distance it has traveled. If the car is traveling at a constant speed, then it will take longer to travel a longer distance. If the car accelerates or decelerates, then it will take less time to travel a given distance.
The distance the car has traveled can be calculated by multiplying the speed of the car by the time it takes for the angle of depression to change from 20 degrees to 45 degrees. This will give an estimate of how far the car has traveled, allowing Emilio to better understand the situation he is observing.
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PLEASE HELP FAST Rewrite
y = x/5 - 6 in a general form! I’ll give brainlist look at the picture!
Answer:
it's C. :)) u wanna explanation??
In a small library , there are 5 nonfiction books for every 9 fiction books There are 130 a . How many fiction books are there ?
Answer: 234
Step-by-step explanation:
If there are 130 nonfiction books, then there are 234 fiction books
You are riding a roller coaster when a shoe falls off your foot. The function y=300−16t2 represents the height y (in feet) of the shoe t seconds after it falls off your foot. The shoe lands on the top of an 11-foot-tall building. After how many seconds does the shoe hit the building?
Answer:
Time to land on 11ft is 4.25 seconds
Step-by-step explanation:
Given
\(y = 300 - 16t^2\)
Required
Solve for t when height is 11ft
This implies that \(y = 11\)
So: substitute 11 for y in \(y = 300 - 16t^2\)
\(11 = 300 - 16t^2\)
Collect Like Terms
\(16t^2 = 300 - 11\)
\(16t^2 = 289\)
Express both sides as squares
\(4^2 * t^2 = 17^2\)
\((4t)^2 = 17^2\)
Take square roots of both sides (ignore negative)
\(4t = 17\)
Solve for t
\(t = \frac{17}{4}\)
\(t = 4.25\)
Hence, time to land on 11ft is 4.25 seconds
Un empleado de una cafetería tomó 3/8 de un saco de café, lo que corresponde a 1.6875kg ¿de cuantos kilogramos era el saco de café?
Using cross multiplication method, a total of 2.7 kilograms of coffee was in the bag.
What is cross multiplication?Cross multiplying is the process of multiplying the denominator of the second fraction on the other side of the equals to symbol by the numerator of the first fraction on one side of the equals to symbol.
Comparably, the numerator of the second fraction is multiplied by the denominator of the first fraction. Cross multiply is another name for the butterfly method of multiplication. The cross-multiply method is used to find one or more variables in a fraction. Cross multiplying can also be used to compare fractions.
The fraction of 3/8 of a bag of coffee = 1.6875kg
Let, The total mass of the bag of coffee be x, i.e.
3/8 = 1.6875/x
Using Cross-multiplication
3x = 1.6875 × 8
3x = 13.5
x = 13.5/5
x = 2.7kg
Thus, Using cross multiplication method, a Total of 2.7 kilograms of coffee was in the bag.
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English Full question
An employee of a cafeteria took 3/8 of a bag of coffee, which corresponds to 1.6875kg. How many kilograms was the bag of coffee?
T/F. Exception reports show a greater level of detail than is included in routine reports.
True. Exception reports show a greater level of detail than is included in routine reports.
Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.
This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.
This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.
It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.
For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.
The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.
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find the exact values of the sine, cosine, and tangent of the angle. 255° = 300° − 45°
The exact values of the sine, cosine, and tangent of the angle 255° are -1/√2, 1/√2, and -1, respectively.
To find the exact values of the sine, cosine, and tangent of the angle 255°, we can use the identity that relates the trigonometric functions of an angle to the trigonometric functions of its complement.
By expressing 255° as the sum of 300° and -45°, we can determine the exact values of the trigonometric functions for the given angle.
We know that the sine, cosine, and tangent of an angle are periodic functions, repeating every 360 degrees. To find the exact values of the trigonometric functions for 255°, we can express it as the sum of 300° and -45°, where 300° is a multiple of 360°.
Since the sine, cosine, and tangent functions are odd or even functions, we can use the values of the trigonometric functions for 45° to determine the values for -45°.
For 45°:
sin(45°) = cos(45°) = 1/√2
tan(45°) = 1
Since cosine is an even function, cos(-45°) = cos(45°) = 1/√2.
Since sine is an odd function, sin(-45°) = -sin(45°) = -1/√2.
Using the definition of tangent as the ratio of sine to cosine, tan(-45°) = sin(-45°) / cos(-45°) = (-1/√2) / (1/√2) = -1.
Therefore, for the angle 255°:
sin(255°) = -1/√2
cos(255°) = 1/√2
tan(255°) = -1
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how many square feet of out door carpet will we need for this hole
Answer:
12ft² + 12ft² = 24ft²
Step-by-step explanation:
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