Answer:
D
Step-by-step explanation:
Answer:
I'd say D. no association because I see no pattern whatsoever
trapezoid abcd is proportional to trapezoid efgh. the height of trapezoid abcd is 6 cm. the length of line dc is twice the height of trapezoid abcd, and four times the length of ab. what is the area of trapezoid efgh, in cm2?
the area of trapezoid efgh is given by the expression 3 * 12^2 / (x + 12) cm^2.
Let's denote the length of ab as x. Since line dc is twice the height of trapezoid abcd and four times the length of ab, its length is 2 * 6 = 12 cm. Additionally, line dc is also the sum of the lengths of ef and gh. Thus, we have ef + gh = 12 cm.
Since trapezoid abcd is proportional to trapezoid efgh, the ratio of their areas is equal to the square of the ratio of their corresponding side lengths. Therefore, (Area of efgh) / (Area of abcd) = (ef + gh)^2 / (ab + cd)^2.
Plugging in the values, we have (Area of efgh) / (Area of abcd) = (12)^2 / (x + 12)^2.
Given that the height of abcd is 6 cm, its area is (1/2) * (ab + cd) * 6 = (1/2) * (x + 12) * 6 = 3(x + 12) cm^2.
Multiplying both sides of the proportionality equation by the area of abcd, we get (Area of efgh) = (Area of abcd) * [(ef + gh)^2 / (ab + cd)^2].
Substituting the values, we find (Area of efgh) = 3(x + 12) * [(12)^2 / (x + 12)^2].
Simplifying further, we get (Area of efgh) = 3 * 12^2 / (x + 12).
Therefore, the area of trapezoid efgh is given by the expression 3 * 12^2 / (x + 12) cm^2.
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the distance from the ground of a person riding on a ferris wheel can be modeled by the equation d equals 20 times the sine of the quantity pi over 30 times t end quantity plus 10 comma where d represents the distance, in feet, of the person above the ground after t seconds. how long will it take for the ferris wheel to make one revolution?
It takes approximately 26.56 seconds for the ferris wheel to make one revolution.
The ferris wheel makes one complete revolution when the distance of the person above the ground returns to the original value after completing a full circle.
This occurs when the sine function returns to its maximum value, which is 1.
Thus, we have the following equation:
20 * sin(π/30 * t) + 10 = 20
Solving for t,
we will get:
sin(π/30 * t) = 0.5
Taking the inverse sine of both sides:
(π/30 * t) = sin^-1(0.5)
Multiplying both sides by 30/π,
we will get the following:
t = (30/π) * sin^-1(0.5)
Now solving the value of t
We will get it as: t ≈ 26.56 seconds.
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betty can mow a lawn in 120 minutes. bullwinkle can mow the same lawn in 40 minutes. how long does it take for both betty and bullwinkle to mow the lawn if they are working together? express your answer as a reduced fraction.
Answer:
30 minutes
Step-by-step explanation:
You want to know how long it takes for Betty and Bullwinkle to mow the lawn working together, if it takes them 120 minutes and 40 minutes, respectively, when they work separately.
Sum of ratesEach minute, Betty mows 1/120 of the lawn, and Bullwinkle mows 1/40 of the lawn, for a total of ...
1/120 +1/40 = 1/120 +3/120 = 4/120 = 1/30 . . . . of the lawn
The entire lawn is 30/30 of the lawn, so will take 30×(1 minute) = 30 minutes to mow.
Working together, the mowing takes 30 minutes.
Select the algebra tiles that correctly model the problem.
three less than a number
Answer:
This is my answer, Credit to the person on top
Answer: its a
Step-by-step explanation:
I understand this a little but i don’t understand the angles please help me??
We can use the fact that the sum of all angles in a triangle is 180° to find the missing angles in both triangles.Therefore, the missing angles in ΔABC are ∠E = 47° and ∠F = 76°, and in ΔDEF is ∠D = 93°.
What is an angles?A geometric figure formed by two rays that share a common endpoint is termed as an angle. It is measured in degrees or radians and has different types based on its measure.
In ΔABC, we know that ∠A = 57° and that the other two angles are ∠E and ∠F. Therefore, we have:
∠A + ∠E + ∠F = 180°
57° + ∠E + ∠F = 180°
∠E + ∠F = 180° - 57°
∠E + ∠F = 123°
In triangle ΔDEF, we know that one angle is 40° and the other angle is ∠D. Therefore, we have:
∠D + 40° + ∠E = 180°
∠D + ∠E = 180° - 40°
∠D + ∠E = 140°
We now have two equations with two unknowns (∠E + ∠F = 123° and ∠D + ∠E = 140°). Solving the system of equations simultaneously gives us:
∠E = 47°
∠F = 76°
∠D = 93°
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If m∠J is 116°, what is m∠F?
A.
116°
B.
32°
C.
58°
D.
64°
Required value of m∠F is 32°.
What is angles of triangle?
In geometry, a triangle is a polygon with three sides and three angles. The angles of a triangle are important characteristics that help define the shape and size of the triangle. The sum of the angles of a triangle is always 180 degrees, which is known as the angle sum property of triangles.
There are different types of triangles based on the angles they contain. An acute triangle has three acute angles, which means all angles are less than 90 degrees. A right triangle has one right angle, which is exactly 90 degrees. A obtuse triangle has one obtuse angle, which means one angle is greater than 90 degrees. A scalene triangle has three unequal angles, while an isosceles triangle has two equal angles and two equal sides, and an equilateral triangle has three equal angles and three equal sides.
Here given, m∠J is 116° and m∠E is 32°
The sum of the angles in a triangle is always 180 degrees. Therefore, we can use this fact to find the missing angle:
m∠E + m∠F + m∠J = 180°
Substituting the given values, we get:
32 + m∠F + 116 = 180°
Simplifying the equation, we get:
m∠F + 148 = 180°
Subtracting 148 from both sides, we get:
m∠F = 32°
Therefore, the answer is (B) 32°.
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Correct question is "There is a triangle EFJ and If m∠J is 116° and m∠E is 32°, what is m∠F?
A.
116°
B.
32°
C.
58°
D.
64°"
how many ways are there to roll 5 distinct (6-sided) dice and get 3 of a kind? (three dice will show the same number, one die will show a different number, and one die will show yet g
Number of ways to roll 5 distinct dice and get 3 of a kind is 7200
To find the number of ways to roll 5 distinct dice and get 3 of a kind:
Choose which number appears three times. There are 6 possible choices.
Choose which three dice will show the chosen number. There are 5 ways to choose the first die, 4 ways to choose the second die, and 3 ways to choose the third die, for a total combinations 5 x 4 x 3 = 60 ways.
Choose the numbers that the remaining two dice will show. There are 5 choices for the first die and 4 choices for the second die, but the order in which we choose them doesn't matter, so we need to divide by 2 to correct for overcounting. This gives us (5 x 4) / 2 = 10 ways.
Choose which of the two remaining dice will show the first chosen number. There are 2 choices.
Multiply all of the choices together: 6 x 60 x 10 x 2 = 7,200.
Therefore, there are 7,200 ways to roll 5 distinct dice and get 3 of a kind.
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u = (2 + 88 i, 1 + 63 i, 0) , Find norm of u i.e. II u
II? (Round off the answer upto 2 decimal places)
The norm of vector u, ||u||, is 108.23.
To find the norm of vector u, denoted as ||u||, we use the formula:
||u|| = √(|a₁|² + |a₂|² + |a₃|²)
Where a₁, a₂, and a₃ are the components of vector u.
Substituting the values of vector u = (2 + 88i, 1 + 63i, 0) into the formula, we have:
||u|| = √(|2 + 88i|² + |1 + 63i|² + |0|²)
= √((2 + 88i)(2 - 88i) + (1 + 63i)(1 - 63i) + 0)
= √(4 + 176i - 176i - 7744i² + 1 + 63i - 63i - 3969i²)
= √(4 + 1 - 7744i² - 3969i²)
= √(5 - 7744(-1) - 3969(-1))
= √(5 + 7744 + 3969)
= √(11718)
Rounding off the answer to 2 decimal places, we have:
||u|| ≈ √11718 ≈ 108.23
Therefore, the norm of vector u, ||u||, is approximately 108.23 (rounded off to 2 decimal places).
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Which choice lists the numbers in increasing order?
Answer:
D
Step-by-step explanation:
Because negative is smaller than fractions. and ABC, is all off.
Answer: I think the answer is D/ the last answer
Step-by-step explanation:
A college professor stops at McDonald's every morning for 10 days to get a number 1 value meal costing $5.39. On the 11th day he orders a number 8 value meal costing $4.38.
Which of the following are true?
Select all that apply.
Select one or more:
1) During the first 10 days the professor's standard deviation was more than 0.
2) During the first 10 days the professor's standard deviation was less than 0.
3) During the first 10 days, the professor's standard deviation was 0.
4) It is impossible to tell anything about the professor's standard deviation for the first 10 days.
5) Considering all 11 days, the professor's standard deviation was lower than the standard deviation of the first 10 days.
6) Considering all 11 days, the professor's standard deviation was higher than the standard deviation of the first 10 days.
7) Considering all 11 days, the professor's standard deviation was the same as the standard deviation of the first 10 days.
8) Considering all 11 days, It is impossible to tell anything about the professor's standard deviation compared to the first 10 days
The following statements are true:
1. During the first 10 days the professor's standard deviation was more than 0.
4. It is impossible to tell anything about the professor's standard deviation for the first 10 days.
6. Considering all 11 days, the professor's standard deviation was higher than the standard deviation of the first 10 days.
How to explain the informationThe standard deviation is a measure of how spread out a set of data is. In this case, the data is the prices of the value meals that the professor orders. If all 10 of the first meals cost $5.39, then the standard deviation would be 0.
This is because there is no variation in the data. However, on the 11th day, the professor orders a meal that costs $4.38. This adds variation to the data, which means that the standard deviation will be greater than 0.
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Cassandra bought a tablecloth. The area of the tablecloth is 120 ft2. The width of the tablecloth is 10 feet. How long is it?
the answer is 12 hope this helps!!
Evan budgets $2000 a month to spend on living living expenses for his family complete the table to expressed a portion spent on each cost as a percent fraction and decimal
Completing the table to expressed a portion spent on each cost as a percent fraction and decimal will be:
FOOD:
Fraction = 1/4
Decimal = 0.25
Percent = 25%
RENT:
Fraction = 6/10
Decimal = 0.60
Percent = 60%
TRANSPORT:
Fraction = 3/20
Decimal = 0.15
Percent = 15%
How to calculate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
It should be noted that 1/4 as a percentage will be:
= 1/4 × 100
= 25%
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if 26 children were to be born in a hospital on a given day, how many combinations of 6 boys and 20 girls would exist? 230,230 4 x 10^26 500,000 15 Z
The number of combinations of 6 boys and 20 girls that can exist among 26 children born in a hospital on a given day is 230,230.
]To calculate the number of combinations, we can use the concept of binomial coefficients. The formula for calculating the number of combinations is C(n, k) = n! / (k!(n-k)!), where n is the total number of objects and k is the number of objects we want to select.
In this case, we have 26 children in total, and we want to select 6 boys and 20 girls. Plugging these values into the formula, we get C(26, 6) = 26! / (6!(26-6)!) = 230,230. Therefore, there are 230,230 different combinations of 6 boys and 20 girls that can exist among the 26 children born in the hospital on that given day.
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8th grade Mathematics
Please look at picture!
The measure of angels 4 is 120*, and the measure of angle 2 is 35*
What is the measure of angle 5?
A) 95*
B) 105*
C) 130
D) 155
Thank you!
And SCAM “answers” WILL be REPORTED, REPORTING results in a BAN.
Have a great day! :)
Answer: 105
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
the sum of all angles in a triangle is always 180°.
the combination of an inner and an outer angle towards a flat line is always 180°. simply because that line simulates a diameter of a circle with the vertex being the center. and half a circle has 180°.
so,
180 = angle 3 + angle 4 = angle 3 + 120°
angle 3 = 60°
180 = angle 1 + angle 2 + angle 3 = angle 1 + 35 + 60
angle 1 = 180 - 35 - 60 = 85°
180 = angle 1 + angle 5 = 85 + angle 5
angle 5 = 95°
f(x) = 2x2 + x – 4 Find f(-10)
Answer:
-46
Step-by-step explanation:
jsjsjdbsunejrhduhe8ehs8je8ejdunduebd
Divide and write the quotient as a decimal
Answer:
0.16666666666667.
Step-by-step explanation:
determine which function has the greater rate of change in problems 1−3
1.
x y
-------
-1 0
0 1
1 2
2 3
(1 point)
The rates of change are equal.
The graph has a greater rate of change
The table has a greater rate of change.
none of the above
2. y = 2x + 7
The slopes are equal.
The graph has a greater slope.
The equation has a greater slope.
none of the abov
3. As x increases by 1, y increases by 3
The slopes are equal.
The graph has a greater slope.
The function rule has a greater slope.
none of the above
The table has a greater rate of change.
The rates of change are equal.
In the given problem, we have a table showing the relationship between x and y values. By comparing the change in y with the change in x, we can determine the rate of change. Looking at the table, we observe that for every increase of 1 in x, there is a corresponding increase of 1 in y. Therefore, the rate of change for this table is 1.
The slopes are equal.
The equation has a greater slope.
In problem 2, we are given a linear equation in the form y = mx + b, where m represents the slope. The given equation is y = 2x + 7, which means the slope is 2. To compare the rates of change, we compare the slopes. If the slopes are equal, the rates of change are equal. In this case, the slopes are equal to 2, so the rates of change are the same.
The function rule has a greater slope.
The slopes are equal.
In problem 3, we are told that as x increases by 1, y increases by 3. This information gives us the rate of change between x and y. The slope of a function represents the rate of change, and in this case, the slope is 3. Comparing the slopes, we find that they are equal, as both have a value of 3. Therefore, the rates of change are the same.
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HELP ASAP WILL GIVE BRAINLIEST OR MORE POINTS
Answer:
the first option
Step-by-step explanation:
hope this help have a great rest of your night :)❤
Ryan drove 715 miles in 13 hours At the same rate, how long would it take him to drive 385 miles?
Answer:
7 hours
Step-by-step explanation:
715 / 13 = 55 miles per hour
385 / 55 = 7 hours
Best of Luck!
Answer:
7 hours
Step-by-step explanation:
The high blood pressure of an obese individual can be modelled by the function p()-40 sin 3x + 160, where p(1) represents the blood pressure, in millimetres of mercury (mmHg), and is the time, in seconds. Determine the maximum and minimum blood pressure, in the time interval 0 SIS 0.75, and the time(s) when they occur.
Therefore, the maximum blood pressure of 200 mmHg occurs at approximately 0.524 seconds, and the minimum blood pressure of 120 mmHg occurs at approximately 1.571 seconds within the time interval 0 ≤ t ≤ 0.75.
To find the maximum and minimum values of the blood pressure function p(t), we need to examine the behavior of the sinusoidal term, -40sin(3t), within the given time interval. The function is a sine wave with an amplitude of 40 and a period of 2π/3. This means that the maximum value occurs at the peak of the sine wave (amplitude + offset), and the minimum value occurs at the trough (amplitude - offset).
The maximum blood pressure corresponds to the peak of the sine wave, which is 40 + 160 = 200 mmHg. To find the time at which this occurs, we set the argument of the sine function, 3t, equal to π/2 (since the peak of the sine wave is π/2 radians). Solving for t gives t = (π/2) / 3 = π/6 ≈ 0.524 seconds.
Similarly, the minimum blood pressure corresponds to the trough of the sine wave, which is -40 + 160 = 120 mmHg. Setting the argument of the sine function equal to 3π/2 (the trough of the sine wave), we find t = (3π/2) / 3 = π/2 ≈ 1.571 seconds.
Therefore, the maximum blood pressure of 200 mmHg occurs at approximately 0.524 seconds, and the minimum blood pressure of 120 mmHg occurs at approximately 1.571 seconds within the time interval 0 ≤ t ≤ 0.75.
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Subtact: (-x + 3) - (x - 5)
Answer:
Step-by-step explanation:
-2x+8
which of the following is a true statement?select one:interval is the name of a particular octave sizeoctave is the name of a particular interval sizethe fifth is a kind of octavea synonym for distance is octave
The true statement is: "Octave is the name of a particular interval size."
In music theory, an octave refers to the interval between two pitches where the higher pitch has a frequency that is exactly twice that of the lower pitch. It represents a doubling or halving of the frequency. For example, if we start on the note A and move up to the next A, we have traversed an octave.
An interval, on the other hand, refers to the distance between two pitches. It is the numerical representation of the difference in pitch between two notes.
The statement mentioning "interval as the name of a particular octave size" is incorrect because the octave is a specific interval size, not the other way around.
The statement suggesting that "the fifth is a kind of octave" is also incorrect. The fifth is a specific interval that represents the distance of five diatonic scale steps between two pitches.
Lastly, the statement that "a synonym for distance is octave" is not true. While an octave represents a specific interval size, the term "distance" is a more general term that can refer to the measurement between any two pitches, regardless of the specific interval size.
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nicole is riding her bicycle. she rides at a speed of 9.6 kilometers per hour for 6 hours. for how many kilometers does she ride?
The distance rides by Nicole in 6 hours with a speed of 9.6 km/hr in her bicycle is 57.6 km.
Given,
The speed of the bicycle ride by Nicole = 9.6 kilometers per hour
The time taken by Nicole to ride = 6 hours
We have to find the distance rides by Nicole in 6 hours with e speed of 9.6 km/hr her bicycle.
Formula for calculating speed;
Speed = distance / time
Here,
Speed = 9.6 km/hr
Time = 6 hours
Then,
Distance = Speed x Time
Distance = 9.6 x 6
Distance = 57.6 km
That is,
The distance rides by Nicole in 6 hours with a speed of 9.6 km/hr in her bicycle is 57.6 km.
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Choose the correct answer.
If a mutual fund does not charge a fee when the fund is purchased, it is called a ——- fund
Answer:
No-load fund
.......................
Polynomial long divisio
Divide.
(10x³-23x² +15x-2)+(5x+1)
Your answer should give the quotient and the remainder.
Quotient:
type 2
Remainder:
X
S
The long polynomial division of the given equation is \(\ 2x^2-5x+4-\frac{6}{5x+1}\).
What is long polynomial division?
Polynomial long division is a generalized variant of the well-known arithmetic operation known as long division. It is an algorithm for dividing a polynomial by another polynomial of the same or lower degree.
We have,
\(10x^{3} -23\pi x^{2} +15x - 2\) £ \(5x+1\)
By taking long division
\(= \:\frac{10x^3-23x^2+15x-2}{5x+1} \\)
\(= \quad 2x^2-5x+4-\frac{6}{5x+1}\)
\(= \ 2x^2-5x+\frac{20x-2}{5x+1}\)
\(= \ 2x^2-5x+4+\frac{-6}{5x+1}\)
By simplifying we get,
\(= \ 2x^2-5x+4-\frac{6}{5x+1}\)
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Sal has already finished 5/9 of the 45 math problems he was assigned. If each math problem took him 3/5 of a minute to finish and this pace continues, which expression can be used to determine the amount of time it will take him to finish his remaining homework?
45 times 5/9 times 3/5
45 times 5/9 divided by 3/5
45 times 4/9 times 3/5
45 times 4/9 divided by 3/5
please answer fast its timed
Step-by-step explanation:
plz refer the attachment
The range of computer-generated random numbers is
[0, 1)
[–8, 8]
[–8, 0)
[1, 8]
The confusion matrix for a classification method with Class 0 and Class 1 is given below. What is the percent overall error rate? a. \( 45.67 \% \) b. \( 37.50 \% \) c. \( 55.82 \% \) d. \( 38.70 \% \
The correct option is option (b). The percent overall error rate for the given confusion matrix is approximately 37.5%.
In the confusion matrix, the diagonal elements represent the correct predictions, while the off-diagonal elements represent the incorrect predictions. The overall error rate is calculated by summing up the incorrect predictions and dividing it by the total number of predictions.
In this case, the total number of predictions is the sum of all the elements in the confusion matrix, which is 80 + 100 + 20 + 120 = 320.
The total number of incorrect predictions is the sum of the off-diagonal elements, which is 100 + 20 = 120.
The percent overall error rate is then calculated by dividing the total number of incorrect predictions by the total number of predictions and multiplying by 100:
(120 / 320) * 100 = 37.5%.
Therefore, the percent overall error rate is approximately 37.5%, which corresponds to option b.
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The range of computer-generated random numbers is
[0, 1)
[–8, 8]
[–8, 0)
[1, 8]
The confusion matrix for a classification method with Class 0 and Class 1 is given below. What is the percent overall error rate?
confusion matrix
actual/predicted 0 1
0 80 100
1 20 120
\(a. \( 45.67 \% \)\\b. \( 37.50 \% \)\\ c. \( 55.82 \% \)\\ d. \( 38.70 \% \\)
The equation of line L is 2x+y=3
Line M is parallel to line L and passes through
(1,−6)
Work out the equation of line M.
Give your answer in the form
y=ax+b
(3 marks)
Answer:
y = -2x - 4
Step-by-step explanation:
We transform the line equation of L:
2x + y = 3 --(-2x)--> f(x) = y = -2x + 3
We now know that L intersects the y-axis at 3 and it has a slope of -2.
In order to construct a parallel line M, it needs to have an identical slope to L.
All we need to do now is to move one step from the given point (1,-6) towards 0 with the predetermined slope of -2, resulting in the point (0,-4).
Since we know slope and intersection with the y-axis (0,-4), we can construct the line equation:
f(x) = y = -2x - 4 for line M.
Inequality I: g−4>29
The solution to the inequality is g > 33
How to determine the solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
g−4>29
Collect the like terms
So, we have the following representation
g > 4 + 29
Evaluate the like terms
This gives
g > 33
Divide both sides by 1
g > 33
Hence, the solution is g > 33
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If measure of AC= 50 degrees, then…
1) How many degrees measures the central angle O?
2) How many degrees measures the inscribed angle B?
1) Because \(\angle AOC\) is a central angle, the answer is 50 degrees.
2) By the inscribed angle theorem, the answer is 25 degrees.