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2 years ago

The radius of a circle is 8 inches. What is the angle of an arc 2π inches long?

Mathematics

1 answer:

Y_Kistochka [10]2 years ago

3 0

Answer:

π/4 radians

Step-by-step explanation:

The arc length formula is s = rФ, where Ф is the central angle (in radians).

Here, r = 8 inches and s = arc length = 2π inches. We need to find the central angle, Ф. The formula given above is s = rФ, or, equivalently,

Ф = s/r.

Here, the central angle is Ф = s/r = 2π/8, or π/4 radians.

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A farmer is tracking the amount of corn his land is yielding each year. He finds that the function f(x) = −x2 + 20x + 50 models

polet [3.4K]

Answer:

The crop yield increased by 9 pounds per acre from year 1 to year 10.

Step-by-step explanation:

To solve this we are using the average rate of change formula: $Av=\frac{f(x_2)-f(x_1)}{x_2-x_1}$ , where:

$x_2$ is the second point in the function

$x_1$ is the first point in the function

$f(x_2)$ is the function evaluated at the second point

$f(x_1)$ is the function evaluated at the first point

We know that the first point is 1 year and the second point is 10 years, so $x_1=1$ and $x_2=10$ . Replacing values:

$Av=\frac{-(10)^2+20(10)+50-[-(1)^2+20(1)+50]}{10-1}$

$Av=\frac{-100+200+50-[-1+20+50]}{9}$

$Av=\frac{150-[69]}{9}$

$Av=\frac{150-69}{9}$

$Av=\frac{81}{9}$

$Av=9$

Since $f(x)$ represents the number of pounds per acre and $x$ the number of years, we can conclude that the crop yield increased by 9 pounds per acre from year 1 to year 10.

6 0

3 years ago

Please help!

Katyanochek1 [597]

Answer:

$ 4,986.18

Step-by-step explanation:

A = $ 4,986.18

A = P + I where

P (principal) = $ 4,610.00

I (interest) = $ 376.18

4 0

3 years ago

HELP ME QUICK PLSSS (BTW DUE TODAY!)

joja [24]

Answer:

Part A: He can use distance formula. The formula is: $d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}$

Part B: 41.63 (rounded to nearest hundredth)

Step-by-step explanation:

Plug this into the formula. First, subtract the numbers in the parentheses. Then, square them. Add those totals together. Lastly, take the square root using a calculator.

5 0

3 years ago

Is 3 yards greater than less than or equal to 10 feet

earnstyle [38]

The question is asking to state if 3 yards in greater than, lees than or equal to 10 feet, base on my research, I would say that its less than because 3 yards is only 6 feet. I hope you are satisfied with my answer and feel free to ask for more if you have questions

4 0

3 years ago

Read 2 more answers

Max drove 460 miles in 8 hours at a constant speed. How long would it take him to drive 661.25 miles at that speed

alexira [117]

Rate x time = distance

8r = 460 Divide both sides by 8

rate = 57.5 miles per hour

At that speed (57.5mph) and the distance of 661.25miles we should divide

661.25 miles ÷ 57.5 mph = 11.5 hours

4 0

3 years ago

Read 2 more answers