A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the arc is

Answers

Answer 1
Answer: The arc length is 8π.
The circumference of the circle is 2πr = 9π.

(arc)/(circumference) = (angle)/(360)

so (8 \pi )/(9 \pi ) = (x)/(360)

cross-multiply: 9x = 360(8)

x = 320



Related Questions

Which quadrilateral always has two pairs of parallel sides, four right angles, and four congruent sides?a. trapezium b. square c. kite d. rectangle
Use Gauss-Jordan elimination to solve the following system of linear equations x_1+x_2 3-x_3 + 3x_4 = 2 -2x_1 - x_2+5x_3-5x_4=-4 2x_1-4x_3 + 4x_4 = 4 -x_1-6x_2+8x_38x_4 = -2
A basketball player makes 75% of her free throws. If she made 84 free throws this season, how many has she attempted?
Your new job guarantees you an eight percent raise for each year with the company. If your initial salary is $42,200, write an equation to model your salary after t years
Given a = -3, b = 4 and c = -5, evaluate a - b - c. -12 -6 -2

Sheila has 10 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 2 1/4 pounds. How many containers does she need? Complete the explanation.

Answers

Answer: 5  containers

Step-by-step explanation:

Step 1

Given that

Total amount of potato salad = 10 1/2

amount of salad in each container = 2 1/4

Total number of containers = ?

Step 2

Divide the total amount of potato salad by the amount of salad each container  can hold  

 Total number of containers=10 1/2 / 2 1/4 = 21/2 x 4/9= 84/18 = 4 3/5

which can also be written as 10.5 / 2.25= 4.6  

Sheila  will need 5 containers because  4 will be filled and  additional 1 will be partially filled.

The country has entered a period of economic growth, but prices are rising too rapidly. To stabilize prices, the Federal Reserve decides to decrease the federal funds rate
decrease the reserve requirement
raise the discount rate
buy more government securities

Answers

Answer:

Correct answer is option c.

Step-by-step explanation:

In economics growth period, when pricing are rising too rapidly, in order to stabilize prices, Federal Reserve should raise the discount rates.

Answer:

Raise the discount rate.

Step-by-step explanation:

The country has entered a period of economic growth, but prices are rising too rapidly. To stabilize prices, the Federal Reserve decides to - Raise the discount rate.

Economic growth is defined as a period when the goods and services produced per head of the population over a period of time increases.

So, when the prices are rising the government increases the discount rate to stabilize that price hike.

Find an equivalent function to f(x) = 5(3)3x. f(x) = 125x(27)x
f(x) = 152x
f(x) = 5(27)x
f(x) = 135x

Answers

If you would like to find an equivalent function to f(x) = 5(3)^(3x), you can do this using the following steps:

f(x) = 5(3)^(3x) = 5(3^(3x)) = 5(27)^x = 5(27)x

The correct result would be f(x) = 5(27)x.

Answer:

The correct result would be f(x) = 5(27)x.

Step-by-step explanation:

What does ''|x|'' mean in math? For example, ''h(x) = |x|''

Answers

Absolute value which means even negative integers are considered as positive

Which two numbers add up to 27 and multiply to -160?

Answers


     + 32
and
     - 5

will do that job for you.

What is the area of a triangle with a base of 10 and height of 4?

Answers

The area of a triangle with a base of 10 and a height of 4 would end up being 20