Answer:
Step-by-step explanation:
3. A triangle is inscribed in a rectangle, as shown below. What is the area of the shaded
region?
5 cm
5 cm
11 cm
A. 40 cm2
C. 47.5 cm2
B. 62.5 cm2
D. 22.75 cm-l
The area of the shaded region is 42.5 cm². The area of the shaded region is found by subtracting the area of the triangle from the area of the rectangle.
First, let's find the area of the rectangle. The rectangle has a length of 11 cm and a width of 5 cm, so its area is:
$A_{rectangle} = l \cdot w = 11 \text{ cm} \cdot 5 \text{ cm} = 55 \text{ cm}^2$
Now let's find the area of the triangle. The base of the triangle is one of the sides of the rectangle, so it has a length of 5 cm. To find the height of the triangle, we can use the Pythagorean theorem since we know that the sides of the rectangle are perpendicular. Let the height of the triangle be $h$.
$5^2 + h^2 = 11^2$
$25 + h^2 = 121$
$h^2 = 96$
$h = \sqrt{96} = 4\sqrt{6}$
So the area of the triangle is:
$A_{triangle} = \frac{1}{2}bh = \frac{1}{2}(5\text{ cm})(4\sqrt{6}\text{ cm}) = 10\sqrt{6}\text{ cm}^2$
Finally, we can find the area of the shaded region by subtracting the area of the triangle from the area of the rectangle:
$A_{shaded} = A_{rectangle} - A_{triangle} = 55 \text{ cm}^2 - 10\sqrt{6}\text{ cm}^2$
To simplify the answer,
$A_{shaded} \approx 47.5 \text{ cm}^2$
Therefore, the answer is C. 47.5 cm2.
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Dr. Reyes is examining whether exercise is linked to mood. She recruits a sample of college students and asks them to answer whether they exercised at least three times last week (yes or no) and to rate their mood in the last week (1: Not happy at all to 5: Very happy). Her results show that students who exercised in the last week also reported happier moods. Can Dr. Reyes make a causal inference from her study
The answer to whether Dr. Reyes can make a causal inference from the study is;
No, she can't make a casual inference from the study because she met only one of the three criteria's for causality.
To answer this question, we need to know the conditions for causality in statistics research because causality gives the relationships such that a change in one variable would have to result in a change in another variable.
Now, the three conditions are;
1) Covariation; This condition means that the causal variable must have to vary with with the variable it is assumed to cause in a systematic manner.
2) Temporal precedence; Thus condition simply means that cause must precede effect. In summary it denotes that the variable that has the causal effect must come before the effect that it is meant to cause.
3) Control for extraneous variables; This condition means that results of an experiment or research must not be due to factors outside of the experiment/research
Now, in our question, he fulfilled the covariation condition because the
result of the research is tied to the responses from the sample students.
However, she did not fulfill the temporal precedence because the cause of
their moods did not precede the effects in his research.
Also, she did not fulfill the condition of control of extraneous variables
because other factors outside of the research itself may have affected their
moods.
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Explain how to use the figure below and a sequence of similarity transformations to prove that all circles are similar.
Translate circle A (blue), so that its center is the same with circle B (black)
A dilation is needed to increase the size of circle A to coincide with circle B. Let x be the value when multiply by r will create s.
The scale factor , x, to increase circle A is
\(\begin{gathered} x\cdot r=s\longrightarrow x=\frac{s}{r} \\ \\ \text{A translation, followed by a dilation with scale factor }\frac{s}{r}\text{ will map one circle} \\ \text{onto the other, thus proving that all circles are similar.} \end{gathered}\)another name for result variables is independent variables.
Given statement 'another name for result variables is independent variables.' is False
In this question, we have been given a statement 'another name for result variables is independent variables.'
We need to state whether the given statement is true or false.
We know that an independent variables are also called as an explanatory variables as they explain an event or outcome
the predictor variables as they can be used to predict the value of a dependent variable
the input variable
On the other hand the dependent variables are also called response variable, output variable or result variable.
This means, the another name for result variables is dependent variables.
Therefore, given statement is False.
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Store A sells 5 bagels for $2.05. Store B sells 3 bagels for $1.35. How do the unit rates compare?
A. The bagels at Store A are $0.04 more expensive than the bagels at Store B.
B. The bagels at Store A are $0.03 more expensive than the bagels at Store B.
C. The bagels at Store B are $0.04 more expensive than the bagels at Store A.
D. The bagels at Store B are $0.03 more expensive than the bagels at Store A.
3 / 24
Answer:
C. The bagels at Store B are $0.04 more expensive than the bagels at Store A.
Step-by-step explanation:
Find the unit rates of both stores by dividing the price by the number of bagels:
Store A:
2.05/5
= 0.41
Store B:
1.35/3
= 0.45
Store B's bagels are $0.04 more than Store A's, so C is the correct answer.
PLEASE HELP ME!
I have to find the measurement of the angle but i can't figure it out.
Answer:
The value of ∠TMV is 45°.Step-by-step explanation:
We know that:
∠VTM + ∠TMV + ∠MVT = 180°∠VTM = 92∠MVT = 43Work:
∠VTM + ∠TMV + ∠MVT = 180°=> 92 + 43 + ∠TMV = 180°=> 135 + ∠TMV = 180°=> ∠TMV = 180 - 135=> ∠TMV = 45°Hence, the value of ∠TMV is 45°.
Hoped this helped.
\(BrainiacUser1357\)
What is the yield to maturity (YTM) on a simple loan for $1,500 that requires a repayment of $7,500 in five years' time? The yield to maturity is ?
The yield to maturity on a simple loan for $1,500 that requires a repayment of $7,500 in five years' time is 37.14%.
Yield to maturity (YTM) is the total return anticipated on a bond or other fixed-interest security if the security is held until it matures. Yield to maturity is considered a long-term bond yield, but is expressed as an annual rate. In this problem, the present value (PV) of the simple loan is $1,500, the future value (FV) is $7,500, the time to maturity is five years, and the interest rate is the yield to maturity (YTM).
Now we will calculate the yield to maturity (YTM) using the formula for the future value of a lump sum:
FV = PV(1 + YTM)n,
where,
FV is the future value,
PV is the present value,
YTM is the yield to maturity, and
n is the number of periods.
Plugging in the given values, we get:
$7,500 = $1,500(1 + YTM)5
Simplifying this equation, we get:
5 = (1 + YTM)5/1,500
Multiplying both sides by 1,500 and taking the fifth root, we get:
1 + YTM = (5/1,500)1/5
Adding -1 to both sides, we get:
YTM = (5/1,500)1/5 - 1
Calculating this value, we get:
YTM = 0.3714 or 37.14%
Therefore, the yield to maturity on a simple loan for $1,500 that requires a repayment of $7,500 in five years' time is 37.14%.
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I NEED HELP WITH THIS QUESTION PLEASE!!
Answer:
They Sold 100 General Tickets And 250 Student Tickets.
Step-by-step explanation:
100x8= 800
250x5=1250
1250+800=2050
Hope This Helped!
1. If cosA=21/29, what is the perimeter of the triangle?
2. If sinA=10/26, what is the perimeter of the triangle?
3. If tanA=15/8, what is the perimeter of the triangle?
4. If cosA-12/37, what is the perimeter of the triangle?
5. If tanA-12/16, what is the perimeter of the triangle?
Answer:
Step-by-step explanation:
For each one, solve for the missing side, x, then add all sides together to get the perimeter, P.
1) x = √(29² - 21²) = 20
P = 21+29+20 = 70
2) x = √(12² - 10²) = 6.63
P = 10+26+6.63 = 42.63
3) x = √(8² + 15²) = 17
P = 8+15+17 = 40
4) x = √(37² - 12²) = 35
P = 12+35+37 = 84
5) x = √(12² + 16²) = 20
P = 12+16+20 = 48
10
Which of the following completes the sentence below correctly?
11y + 10 is NOT equivalent to 21y because 11y and 10 are not
A) coefficients
B) constants
c) like terms
D) variables
Answer:
I t h I n k c but I'm dumb so ye
394.82−55.75 helppppppppppp
Answer: 339.07
Step-by-step explanation:
Answer:
339.07.
Step-by-step explanation:
I've attached an image to help break down this problem. (credit to cymath.com)
Hope this helps! :)
please help lol no rush
Answer:
Step-by-step explanation:
6. ASA
7. SAS
8. ASA
9. True
10. Option 1 and 2
5x2 3/5
A: about 10
B: about 10 3/5
C: about 15
D: about 20
Answer:
5*2 3/5
A: about 10
(B : about 10 3/5)
C : about 15
D: about 20
solve them please, correct answers will be marked as brainliest & a follow :) thank you x
Answer:
this is the answer that I could do please check it if I could help you
Solve for 'x' Side Splitter Theorem
Answer:
x = 10
Step-by-step explanation:
The segment parallel to the third side of the triangle and intersecting the other 2 sides, divides those sides proportionally, that is
\(\frac{2x-5}{10}\) = \(\frac{28-8}{8}\) = \(\frac{20}{8}\) ( cross- multiply )
8(3x - 5) = 200 ← distribute left side
24x - 40 = 200 ( add 40 to both sides )
24x = 240 ( divide both sides by 24 )
x = 10
Omar models a can of ground coffee as a right cylinder. He measures its height as 5 3/4 in. in and its circumference as 5 in. Find the volume of the can in cubic inches. Round your answer to the nearest tenth if necessary.
Answer:
28.75 inches
Step-by-step explanation:
1.) 5 3/4 x 5/1 = 28 3/4
2.) 28 3/4 simplified is 28.75
Hope that helps!
PLEASE HELP!!!
1: Add the linear expression
(-2×-5-3×)+(2×-2) what is the sum?
2: Subtract the linear expressions.
(3/4×-1)-(1/3×+4) what's the difference?
3: Add the 2 expression
-6.5b+11 and 3.3b-2
4:Subtract the linear expressions.
(-3.6×+9.4)-(1.9×+3.6) whats the difference?
5: Subtract 5×-2 from -3×+4.
A. -8×+2
B.2×+2
C.8×-6
D.-8×-6
The solution of each expression is
(1) (-2×-5-3)+(2×-2) = - 10
(2) (3/4 x-1)-(1/3 x +4) = -13/12 x -5
(3) -6.5b+11 + 3.3 b - 2 = - 3.2b + 9
(4) (-3.6x+9.4)-(1.9x +3.6) = -5.5 x + 5.8
What are the basic equations?When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions. An equation is an algebraic statement that demonstrates two mathematical expressions are equivalent in algebra, and this is how it is most usually used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal." When two expressions are joined by an equal sign, a mathematical statement is called an equation. An equation is something like 3x - 5 = 16. By solving for x, we discover that x equals 7, which is the value for the variable.
(1) The sum of the given expressions is given as
(-2×-5-3)+(2×-2)
= -2x - 8 + 2x - 2
= -8 - 2
= - 10
(2) (3/4 x-1)-(1/3 x +4)
(-3/4) x- (1/3) x - 1 - 4
= -13/12 x -5
(3) -6.5b+11 + 3.3 b - 2
= (-6.5+ 3.3) +11 -2
= - 3.2b + 9
(4) (-3.6x+9.4)-(1.9x +3.6)
= (-3.6x-1.9x)+9.4 - 3.6
= -5.5 x + 5.8
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The following variable (X) represents the number of coupons used over a 6 month period by a sample of 11 shoppers:
74, 56, 64, 57, 64, 40, 55, 64, 59, 67, 50.
Use this data to compute:
The mean, the median, the mode, the range, the variance, the standard deviation, the sum of the values of (X), and the sum of the squared deviations of each value of (X) from the mean. In addition, please explain what information is provided to us about this variable by your answers to: (1) the sample mean and (2) the sample standard deviation.
really need answer to last part that is (1) and (2)
We can compute various descriptive statistics such as the mean, median, mode, range, variance, standard deviation, sum of values, and sum of squared deviations.
The sample mean, also known as the average, provides information about the central tendency of the variable X. It represents the typical or average number of coupons used by the shoppers in the sample. In this case, calculating the mean of the given data would provide an estimate of the average number of coupons used over the 6-month period.
The sample standard deviation measures the dispersion or variability of the data points around the mean. It indicates how much the individual observations deviate from the mean value. A higher standard deviation implies greater variability, indicating a wider range of coupon usage among the shoppers in the sample.
By computing the sample mean and standard deviation, we can understand the average coupon usage and the degree of variability in the data. These statistics help us summarize and interpret the characteristics of the variable X, allowing us to make comparisons, identify outliers, assess the spread of the data, and make inferences about the larger population from which the sample was drawn.
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Below is the graph of equation y= |x−2|-1. Use this graph to find all values of x for the given values of y.
y>0
Step-by-step explanation:
if x=4. then it be |4-2|-1= 1
x=5 5-2-1 so 2
and so on
The sum of 9 times a number and 8 is 7. Use the variable c for the unknown number
Answer:
9c + 8 = 7
Step-by-step explanation:
please help! i really need this
Answer:
1/6
Step-by-step explanation:
on the cube, each number is listed one time. if he rolls the cube one time, he has 1/6 chance of it landing on 4.
Answer:
1/6
Step-by-step explanation:
1/6th is the answer. The cube has sides that are labeled 1 to 6. Since 4 is one number that is a possibility and there are 6 possibilities that the cube may roll another number. He has 1/6th of a chance that the number lands on 4.
Consider the given pseudo code. Write the function T(n) in terms of the number of operations, and then give the asymptotic (big Oh) complexity of the algorithm, show all the work you do. [ write the summation formula and solve it, or use the "Look for pattern"method. a. Matrix Multiplication
The function T(n) in terms of the number of operations is:
T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).
To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.
The pseudo code for matrix multiplication may look something like this:
```
MatrixMultiplication(A, B):
n = size of matrix A
C = empty matrix of size n x n
for i = 1 to n do:
for j = 1 to n do:
sum = 0
for k = 1 to n do:
sum = sum + A[i][k] * B[k][j]
C[i][j] = sum
return C
```
Let's break down the number of operations step by step:
1. Assigning the size of matrix A to variable n: 1 operation
2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)
3. Outer loop: for i = 1 to n
- Incrementing i: n operations
- Inner loop: for j = 1 to n
- Incrementing j: n^2 operations (since it is nested inside the outer loop)
- Initializing sum to 0: n^2 operations
- Innermost loop: for k = 1 to n
- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)
- Performing the multiplication and addition: n^3 operations
- Assigning the result to C[i][j]: n^2 operations
- Assigning the value of sum to C[i][j]: n^2 operations
Total operations:
1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1
Therefore, the function T(n) in terms of the number of operations is:
T(n) = 2n^3 + 3n^2 + 2n + 1
To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.
In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).
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Ms. Patel drove 165 miles in 3 hours. If she continues driving at the same speed, how many miles will Ms. Patel drive in 7 hours?
Answer:
1155
Step-by-step explanation:
165 × 7 = 1155
i hink this is the answert
Estimate a 15% tip on a dinner bill of $53.43 by first rounding the bill amount to the nearest ten dollars.
Answer:
$7.50
Step-by-step explanation:
round 53.43 down to 50
tip = total cost * rate of tip
I hope this helped
Angie has spent $150 on birthday presents for her daughter so far. If this is 50% of what she plans to spend, how much money does she plan to spend?
Answer:
$300.00
Step-by-step explanation:
Since 50% means half, we can take the $150.00, and multiply it by two, getting $300.00.
Hope This Helped!Select the two values of x that are roots of this equation 3x^2 + 1 =5x ??
PLZZ HELP
Answer:
x = .23
x = 1.43
Step-by-step explanation:
1. The root of a polynomial is when the y-value equals 0. So set the equation euqal to 0:
\(3x^{2} -5x+1=0\)
2. Solve with the quadratic formula and you get:
\(\frac{5+\sqrt{13} }{6}\) and \(\frac{5-\sqrt{13} }{6}\) which is x = .23 and x = 1.43.
Answer:
here is my answer
Step-by-step explanation:
Is 6a-5=4a+9,6 A solution or not a solution?
6a-5=4a+9
Subtract 4a from each side
6a-4a-5=4a-4a+9
2a-5 = 9
Add 5 to each side
2a-5+5 = 9+5
2a = 14
Divide each side by 2
2a/2 = 14/2
a = 7
The solution to the equation is 7
a=6 is not a solution
You are in a satellite orbiting a moon of Saturn. By measuring the acceleration due to gravity of the moon, and knowing how far away you are from the surface of the moon, what can you calculate?
By measuring the acceleration due to gravity of a moon of Saturn and knowing the distance from the satellite to the moon's surface, you can calculate the mass of the moon.
The acceleration due to gravity of a celestial body is determined by its mass. By measuring the acceleration due to gravity of the moon while in orbit and knowing the distance from the satellite to the moon's surface, you can use Newton's law of universal gravitation to calculate the mass of the moon. The equation for calculating the mass involves the gravitational constant, the acceleration due to gravity, and the distance from the satellite to the moon's center. With these values, you can solve for the mass of the moon, providing valuable information about its size and composition.
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3PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST
Answer: x= 7191.509 ft
Step-by-step explanation:
Sin9/1 = 1125/x
X/1 = 1125/sin9
Identify the slope and y intercept of the line for
each equation.
7. y = -5x - 3/4
8. y=1/4x+5
Answer:
7. Slope = -5
Y-intercept = -3/4
8. Slope = 1/4
Y-intercept = 5
Step-by-step explanation:
y = mx + b
Slope = m
Y-intercept = b