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2 years ago

What’s the correct answer for this question?

Mathematics

1 answer:

olga_2 [115]2 years ago

4 0

Answer:

107 meters

Step-by-step explanation:

Central angle = 123°

In radians

123° = 123π/180

123° = 2.147 radians

Putting in formula

S = r∅

S = (50)(2.147)

S = 107 meters

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6. Parker, Inc. used Excel to run a least-squares regression analysis, which resulted in the following output: Regression Statis

aleksley [76]

Answer:

"34,814" is the correct solution.

Step-by-step explanation:

The given values are:

Intercept coefficient,

$\beta_0 = 23,859$

Production coefficient,

$\beta_1 = 3.13$

Units sold,

x = 3,500

Now,

The total cost will be:

⇒ $\bar{y}=\beta_0+\beta_1 x$

On substituting the estimated values, we get

⇒ $=23,859+3.13\times 3,500$

⇒ $=23,859+10,955$

⇒ $=34,814$

4 0

2 years ago

Can someone help Write an equivalent expression for 63.62.65.6.

Otrada [13]

When multiplying the same number raised to different powers add the powers together.

3 + 2 + 5 = 10

Because you are also multiplying a value without a power you need to add 1 to the sum of the powers:

10 + 1 = 11

Answer: 6^11

5 0

2 years ago

Jerry has 61 percent on khan. She needs to get 100 percent in one week. How much percent should she get each night to reach her

vova2212 [387]

Answer:

She would need to complete 5.57 each noght to reach her goal of 100%.

Step-by-step explanation:

39/7 is equal to 5.57

7 0

3 years ago

Find each percent change. Round to the nearest tenth of a percent. State if it is an increase or decrease. From 79 miles to 84 m

PolarNik [594]

Answer:

the answer is d.

Step-by-step explanation:

first, you want to use the formula,

new value - original value

____________________

original value * 100

you see that 84 is the new value and 79 would be the original value. substitute the numbers in. this is a increase since you will get a positive value.

84 - 79

______

79 * 100

now we solve it.

__

79 * 100

you can either solve the fraction first then multiply that by 100 or multiply the numerator by 100 first then divide that by 79, each way works.

500

____

79 = approximately 6.3% increase (this is not a exact value, just rounded)

__

79 = approximately 0.063 (this is not a exact value, just rounded)

0.063 * 100 = 6.3% increase

7 0

2 years ago

A Ferris wheel has a radius of 10 m, and the bottom of the wheel passes 1 m above the ground. If the Ferris wheel makes one comp

Morgarella [4.7K]

Answer:

$y = 11 - 10cos(0.1\pi t)$

Step-by-step explanation:

Suppose at t = 0 the person is 1m above the ground and going up

Knowing that the wheel completes 1 revolution every 20s and 1 revolution = 2π rad in angle, we can calculate the angular speed

2π / 20 = 0.1π rad/s

The height above ground would be the sum of the vertical distance from the ground to the bottom of the wheel and the vertical distance from the bottom of the wheel to the person, which is the wheel radius subtracted by the vertical distance of the person to the center of the wheel.

$y = h_g + d_b = h_g + R - d_c$ (1)

where $h_g = 1$ is vertical distance from the ground to the bottom of the wheel, $d_b$ is the vertical distance from the bottom of the wheel to the person, R = 10 is the wheel radius, $d_c$ is the vertical distance of the person to the center of the wheel.

So solve for $d_c$ in term of t, we just need to find the cosine of angle θ it has swept after time t and multiply it with R

$d_c = Rcos(\theta(t)) = Rcos(\omega t) = 10cos(0.1\pi t)$

Note that $d_c$ is negative when angle θ gets between π/2 (90 degrees) and 3π/2 (270 degrees) but that is expected since it would mean adding the vertical distance to the wheel radius.

Therefore, if we plug this into equation (1) then

$y = h_g + R - d_c = 1 + 10 - 10cos(0.1\pi t) = 11 - 10cos(0.1\pi t)$

7 0

2 years ago