HELP PLEASE ! Giving brainliest~ it is so appreciated.

Step-by-step explanation:

looking at the diagram, AC is the hypotenuse, AD is the adjacent and CD is the opposite (based on the position of the angle).

Since you are looking for CD, you would use Sine (SOHCAHTOA). Sine would be opposite over hypotenuse and following the same procedure, you will the cross multiply to get your answer

The distance from point A to point B is given as follows:

278 ft.

The three trigonometric ratios are the sine, the cosine and the tangent, and they are obtained according to the rules presented as follows:

For each angle, we have that:

Hence the coordinate A is given as follows:

tan(11º) = 104/A

A = 104/tangent of 11 degrees

A = 535 ft.

The coordinate B is given as follows:

B = 104/tangent of 22 degrees

B = 257 ft.

Then the distance is given as follows:

535 - 257 = 278 ft.

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Answer: Cumulative frequency distribution

Step-by-step explanation: Not entirely sure but I believe you are looking for this definition based on the question. Hope this helps :)

The equilibrium level of income (Y), interest rate (i), consumption (C), investments (I), and budget surplus can be calculated using the given equations and information. When G increases by 100, the new values for investments and budget surplus can be determined. The crowding out effect resulting from the increase in G can also be evaluated. Additionally, if the increase in G is accompanied by an increase in M/P by 100, the equilibrium level of Y and r, as well as the crowding out effect, can be determined and explained.

To calculate the equilibrium level of income (Y), we set the total income (Y) equal to total expenditures (C + I + G), solve the equation, and find the value of Y that satisfies it. Similarly, the equilibrium interest rate (i) can be determined by equating the demand for money (L) with the money supply (M/P). Consumption (C), investments (I), and budget surplus can be calculated using the respective equations provided.

When G increases by 100, we can recalculate the new values for investments and budget surplus by substituting the updated value of G into the equation. The crowding out effect can be assessed by comparing the initial and new values of investments.

If the increase in G is accompanied by an increase in M/P by 100, the equilibrium level of Y and r can be calculated by simultaneously solving the equations for total income (Y) and the interest rate (i). The crowding out effect in this case refers to the reduction in investments resulting from the increase in government spending (G) and its impact on the interest rate (r), which influences private sector investment decisions.

Overall, by analyzing the given equations and their relationships, we can determine the equilibrium levels of various economic variables, evaluate the effects of changes in government spending, and understand the concept of crowding out.

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The value of the expression is approximately 1.132. First, we need to convert the angles from degrees to radians because trigonometric functions in calculators typically use radians as input.

To convert degrees to radians, we use the formula: radians = degrees x (π / 180)

So, we have:

 = 38.2° = 0.666 radians (approx.)

B = 146.4° = 2.552 radians (approx.)

Next, we can plug these values into the expression:

2cos(Â) + cos^2(B)

Substituting  and B with their respective values, we get:

2cos(0.666) + cos^2(2.552)

Using a calculator, we can evaluate this expression as follows:

2cos(0.666) + cos^2(2.552) ≈ 1.132

Therefore, the value of the expression is approximately 1.132.

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The area of the walkway is 24π square meters.

To find the area of the walkway, we need to subtract the area of the inner circle from the area of the outer circle.

The inner circle has a radius of 5 meters, so its area can be calculated using the formula for the area of a circle: A_inner = π * \((r_inner)^{2}\).

A_inner = π * \(5^{2}\) = 25π square meters.

The outer circle has a radius equal to the sum of the inner radius and the width of the walkway. In this case, the outer radius is 5 + 2 = 7 meters.

The area of the outer circle can be calculated in the same way: A_outer = π * \((r_outer)^{2}\).

A_outer = π * \(7^{2}\) = 49π square meters.

Now, we can find the area of the walkway by subtracting the area of the inner circle from the area of the outer circle: A_walkway = A_outer - A_inner.

A_walkway = 49π - 25π = 24π square meters.

The area of the walkway is 24π square meters, where π (pi) is a mathematical constant approximately equal to 3.14159.

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Answer:

A. 3/2

Step-by-step explanation:

what is a dilation? a dilation can make objects bigger or smaller.

10 times \(\frac{3}{2}\) is 15

4 times \(\frac{3}{2}\) is 6

8 times \(\frac{3}{2}\) is 12

therefore the answer is A.. \(\frac{3}{2}\)

Answer:

A. 3/2

Step-by-step explanation:

What is dilation?

The original image is DEFG. It is called the pre-image

The dilated image is D'E'F'G' and is called image

A transformed image has the coordinates labeled with a '

In this case the transformed image is a dilation of the original pre-image. A dilated image is a cop.y of the pre-image but with either an expansion or a compression

If the image is larger than the pre-image it is an expansion, if smaller than the pre-image then it is a compression

With dilation, comes a scale factor which indicates how much a pre-image has been expanded or compressed

Solution

If you look at the two images, take any side in the pre-image and compare its length with the corresponding side you can find the scale factor

Here if you take a side, say DE = 4 and look at the corresponding side D'E' = 6you see that the DE side has been expanded with a scale factor of 6/4 = 3/2

This scale factor applies to all sides, so you need to take only one side to find the scale factor

Answer: Scale Factor of dilation = 3/2

This is option A

Answer:

Step-by-step explanation:

Since there are 985 square feet to cover, and it costs 12.50 per square foot, you multiply 12.50 by 985 to get 12,312.50, the total cost and answer.

Answer:

3rd one

Step-by-step explanation:

Range goes to the y-values

The y values are 16 19 and 16

So the range will be (16,19)

Answer:

8/2 or 4/1

Step-by-step explanation:

To find the slope, you simply count how high up one point is from another (0,0 to 2,8) and then how far over. Since 2,8 is 8 points up from 0,0 the numerator of our slope would be 8; and since 8,2 is two over from 0,0 the denominator is 2. Simplify this to 4/1.

The subsets d and e (Satisfying p(5) = 0 and those of the form p(x) = x^3 + c, respectively) are subspaces of P^4.

To determine which of the given subsets of P^4 (the vector space of polynomials of degree at most 4) are subspaces, we need to check if they satisfy the three properties of a subspace: closure under addition, closure under scalar multiplication, and containing the zero vector.

a. S is the subset consisting of those polynomials satisfying p(5) > 0:

This subset is not a subspace because it does not satisfy closure under scalar multiplication. If we multiply a polynomial in S by a negative scalar, the resulting polynomial will not satisfy p(5) > 0.

b. S is the subset consisting of those polynomials of degree three:

This subset is not a subspace because it does not contain the zero vector, which is the polynomial of degree zero.

c. S is the subset consisting of those polynomials of the form p(x) = ax^3 + bx:

This subset is not a subspace because it does not satisfy closure under addition. If we take two polynomials of this form and add them, the resulting polynomial will have an x^2 term, which is not in the given form.

d. S is the subset consisting of those polynomials satisfying p(5) = 0:

This subset is a subspace. It contains the zero vector, as the zero polynomial satisfies p(5) = 0. It also satisfies closure under addition and scalar multiplication, as the sum or scalar multiple of polynomials that satisfy p(5) = 0 will still satisfy p(5) = 0.

e. S is the subset consisting of those polynomials of the form p(x) = x^3 + c:

This subset is a subspace. It contains the zero vector (when c = 0), and it satisfies closure under addition and scalar multiplication. Adding or multiplying polynomials of this form will still result in a polynomial of the same form.

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Answer:

35

Step-by-step explanation:

Answer:

\(x=35\)

Step-by-step explanation:

\(3x-24=81\\3x=105\\x=35\)

There is enough proof to indicate that the percentage of newsletter readers who possess a Rolls Royce is less than 69%.

The null hypothesis is that p = 0.69, meaning that 69% of the newsletter readers own a Rolls Royce. The alternative hypothesis is that p < 0.69, meaning that less than 69% of the newsletter readers own a Rolls Royce.

We can use a one-tailed z-test to test the hypothesis. Assuming a sample size of n = 100, if we observe fewer than 69 Rolls Royces in our sample, we can reject the null hypothesis.

Using a z-test, we can calculate the z-score by using the formula:

z = (p' - p) / sqrt(p * (1 - p) / n)

where p' is the sample proportion, p is the hypothesized proportion, and n is the sample size.

At a significance level of 0.10, the critical z-value is -1.28. If the calculated z-score is less than -1.28, we can reject the null hypothesis.

If we conduct a survey of 100 newsletter readers and find that 58 of them own a Rolls Royce, the sample proportion would be p' = 0.58. Calculating the z-score, we get:

z = (0.58 - 0.69) / sqrt(0.69 * 0.31 / 100) = -1.83

Since -1.83 is less than -1.28, we can reject the null hypothesis and conclude that there is sufficient evidence to suggest that fewer than 69% of the newsletter readers own a Rolls Royce.

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Answer:b

Step-by-step explanation:

Answer:

its b on edg 2020.

Step-by-step explanation:

i got it right :)

The inverse function (or reciprocal function) is \(f(x) = \dfrac{1}{x}\).

The x-values you can use are everything except for 0, since 1/0 is undefined.

If you look at the graph, you'll also notice that the graph never touches the x-axis, meaning a y-value of 0 is never used.  So the range is also all real numbers, except for 0.  

So the domain is \(\{ \ x \ | \ x\in\mathscr{R}, \ x\neq0 \ \}\) and

the range is \(\{ \ y \ | \ y\in\mathscr{R}, \ y\neq0 \ \}\).

Answer:

its the second one

Step-by-step explanation:

Answer:

\(g(x)=(\frac{1}{2} )^x^-^9+5\)

Step-by-step explanation:

took the test and it said that was the answer

An equation of the line that passes through the point (6,2) and has a slope of -1/2 is y = -1/2(x) + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

At data point (6, 2) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 2 = -1/2(x - 6)  

y - 2 = -1/2(x) + 3

y = -1/2(x) + 3 + 2

y = -1/2(x) + 5

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Answer:

4.71 in

Step-by-step explanation:

The shape above can be liken to an arc.

The following data were obtained from the question:

Angle sustained (θ) = 45°

Radius (r) = 6 in

Pi (π) = 3.14

Length of arc (L) = a

The length of the arc can be obtained as follow:

L = θ/360 × 2πr

a = 45/360 × 2 × 3.14 × 6

a = 0.125 × 2 × 3.14 × 6

a = 4.71 in

Thus, the value of 'a' is 4.71 in

Answer:

3$

Step-by-step explanation:

Let x be t-shirts and y socks.

4x + 3y= $37

2y + 5x= $41

x= (37 - 3y) ÷ 4

2y + 5((37-3y)÷4)=41

y=3

Answer:

27

Step-by-step explanation:

f(x) = 5x - 8

f(7) = 5(7) - 8 = 27

Answer:

27

Step-by-step explanation:

f(x)=5x-8

Let x=7

f(7) = 5*7 -8

       =35-8

         27

The surface area of the prism is equal to 98 square feet.

To calculate the surface area of a triangular prism with a rectangular base, we need to determine the areas of the rectangular and triangular faces and add them together.

area of one triangle face = 1/2 × 3.5ft × 4ft = 7 ft²

area of the two triangle faces = 2 × 7 ft² = 14 ft²

area of one rectangle face = 7ft × 4ft = 28 ft²

area of the three rectangle faces = 3 × 28 ft² = 84 ft²

surface area of the prism = 14 ft² + 84 ft²

surface area of the prism = 98 ft²

Therefore, the surface area of the triangular prisms is calculated to be equal to 98 square feet.

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Answer:

Option D

Step-by-step explanation:

The triangle ABJ is equitorial

So area

Then mBJ is a arc which is 1/6th of circle

Area.

So area of unshaded region

Answer:

\(\textsf{d.} \quad r^2\left(\dfrac{\pi}{6}- \dfrac{\sqrt{3}}{4}\right)\)

Step-by-step explanation:

To find the area of the unshaded region, subtract the area of ΔJGB from the area of sector JGB.

The measure of an arc is equal to its corresponding central angle measure.  Therefore, the central angle of sector JGB is 60°.

As the two sides of ΔJGB adjacent the central angle are the radii of the circle (and therefore equal in length), ∠GJB = ∠GBJ.  

Interior angles of a triangle sum to 180°.  Therefore, all interior angles of ΔJGB are 60° which makes it an equilateral triangle.

Area of an equilateral triangle:

\(\sf A=\dfrac{\sqrt{3}}{4}a^2 \quad \textsf{(where a is the side length)}\)

As the side length of the given equilateral triangle is the radius (r):

\(\implies \sf Area\:of\:triangle=\dfrac{\sqrt{3}}{4}r^2\)

To find the area of the sector, first convert degrees to radians by multiplying the degrees by π/180 :

\(\implies 60^{\circ}=60 \times \dfrac{ \pi}{180}=\dfrac{\pi}{3}\:\:\sf radians\)

Area of a sector of a circle

\(\textsf{A}=\dfrac12 r^2 \theta \quad \textsf{(where r is the radius and the angle }\theta \textsf{ is in radians)}\)

Substituting the angle in radians, the area of the sector is:

\(\implies \sf A=\dfrac{1}{2}r^2\left(\dfrac{\pi}{3}\right)\)

\(\implies \sf A=\dfrac{\pi}6}r^2\)

Area of the unshaded region:

\(\begin{aligned}\textsf{Area of unshaded region} & =\textsf{Area of sector} - \textsf{Area of triangle}\\\\& = \dfrac{\pi}{6}r^2 - \dfrac{\sqrt{3}}{4}r^2\\\\& = r^2\left(\dfrac{\pi}{6}- \dfrac{\sqrt{3}}{4}\right)\end{aligned}\)

Therefore, the solution is option D.

Answer:

I think its 238.00

Step-by-step explanation:

Answer:

Step-by-step explanation:

42+4n<50, so n<4

Answer:

42+4n ≥ 50, so n ≥ 2

Answer:

Option D

Step-by-step explanation:

Fractions are considered to be rational numbers because they are decimals that can be written as a fraction and since it's already wrote as a fraction but can be converted back to a decimal it is a rational number. The fraction is considered to be a real number because all rational numbers are real numbers and since we just proved that 5/8 is a rational number it is therefore a real number. Which means your answer is option D or "rational numbers, real numbers."

Hope this helps.

Answer: I think the answer is 5.3x + 1.7

b =(17,6x 8,9):19,7=7,95

The mass of the pencil is approximately 5.49 ounces.

To find the mass of the pencil, we can integrate the density function over the length of the pencil.

The density function is given by rho(x) = 5/x oz/in.

We want to find the mass of the pencil, so we integrate the density function from x = 2 (the starting point of the pencil) to x = 6 (the endpoint of the pencil).

The integral is ∫[2, 6] (5/x) dx.

Evaluating the integral, we have:

∫[2, 6] (5/x) dx = 5 ln(x) ∣[2, 6] = 5 ln(6) - 5 ln(2) = 5 (ln(6) - ln(2)).

Using the property of logarithms, we can simplify this to:

5 ln(6/2) = 5 ln(3) ≈ 5 (1.098) ≈ 5.49 oz.

The mass of the pencil is approximately 5.49 ounces.

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Answer: I calculated the value after 5 years to be 5,734.40 or 5,734

Step-by-step explanation:

The coefficient of variation for SAT scores at this school is 11.21%. This means that the standard deviation of the SAT scores is about 11.21% of the mean score.

The coefficient of variation (CV) is a measure of relative variability, defined as the ratio of the standard deviation to the mean of a dataset. It is expressed as a percentage and provides a way to compare the variability of datasets with different means.

To calculate the CV for SAT scores at this particular college, we first need to calculate the standard deviation of the dataset. We are given that the average SAT score for incoming freshmen is 535 with a standard deviation of 60. Therefore, the standard deviation (s) is 60.

Next, we need to calculate the mean of the dataset. We are given that the mean (μ) is 535.

The coefficient of variation is then given by:

CV = (s / μ) x 100%

Substituting the values, we get:CV = (60 / 535) x 100%

= 0.1121 x 100%

= 11.21%

Therefore, the coefficient of variation for SAT scores at this school is 11.21%. This means that the standard deviation of the SAT scores is about 11.21% of the mean score. This information can be useful in comparing the variability of SAT scores between different colleges, even if their mean scores are different.

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The coefficient of variation for SAT scores at this school is approximately 11.21%.

The coefficient of variation for SAT scores at this school can be calculated using the following formula:

Coefficient of Variation = (Standard Deviation / Mean) x 100

Given the average math SAT score for incoming freshmen at this particular college is 535 and the standard deviation is

60, we can plug these values into the formula:

Coefficient of Variation = (60 / 535) x 100

Now, let's perform the calculations:

Coefficient of Variation ≈ 11.21 %

So, the coefficient of variation for SAT scores at this school is approximately 11.21%.

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