1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
galben [10]
2 years ago
13

The area of the shaded sector is shown. Find the radius of circle M. Round your answer to the nearest hundredth.

Mathematics
1 answer:
Vaselesa [24]2 years ago
3 0

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the sector, its area and the angle at the center are not given.

I will solve this using the following illusration

The area of a sector is:

Area= \frac{\theta}{360} * \pi r^2

Assume that:

\theta = 120

Area = 20

The equation becomes

20= \frac{120}{360} * \pi r^2

Simplify

20= \frac{1}{3} * \pi r^2

Take: \pi = 3.14

20= \frac{1}{3} *3.14* r^2

Cross Multiply

3.14 * r^2 = 20 * 3\\

Solve for r^2

r^2 = \frac{20 * 3}{3.14}

r^2 = 19.11

Take square roots

r = \sqrt{19.11

r = 4.4

You might be interested in
4) How many license plates can be made using one letter
zalisa [80]

Answer:

2,600,000

Step-by-step explanation:

To determine the number of license plate that can be made with one letter and 5 digits;

Number of English alphabet = 26

Number of digits from 0 to 9 = 10

Each letter have 26 possible options and each digit have 10 possible options.

Number of license plate that can be made is;

N = 26 × 10^5

N = 2600000

5 0
3 years ago
Evaluate the expression when b=-6.
Thepotemich [5.8K]

Answer:

36 +( 5 \times  - 6) - 5 = 36 - 30  - 5 = 1

4 0
3 years ago
Read 2 more answers
(03.07) Select the equation of the line that passes through the point (5, 7) and is perpendicular to the line x = 4. (2 points)
Andru [333]

Answer:

y=7

Step-by-step explanation:

It has to be go in the opposite direction and x=4 so the answer will have to be y=something and if the line has the point (5,7) then the line must be y=7

3 0
3 years ago
Read 2 more answers
If f(x)=x2-2x and g(x) =6x+4, for whichvalue of x dose (f+g)(x)=0
Juliette [100K]

Answer:

The value of x that makes the equation equal to 0 is -2.

Step-by-step explanation:

In order to find this, we first must create the composite function using the designated operation. The operation is addition, so we just add them together.

f(x) + g(x) = (f+g)(x)

(x^2 - 2x) + (6x + 4) = (f+g)(x)

x^2 + 4x + 4 = (f+g)(x)

Now, in order to find when this is equal to 0, we need to factor.

x^2 + 4x + 4 = 0

(x + 2)(x + 2) = 0

When it is fully factored, we can set each parenthesis equal to 0 in order to find the value. Since the parenthesis are exactly the same, we only have to do this once.

x + 2 = 0

x = -2

6 0
3 years ago
Find the standard deviation of the following data. Round your answer to one decimal place. x 0 1 2 3 4 5 P(X
lbvjy [14]

Answer:

<em></em>\sigma = 1.8<em></em>

<em></em>

Step-by-step explanation:

Given

\begin{array}{ccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} \ \\ P(x) & {0.2} & {0.1} & {0.1} & {0.2} & {0.2}& {0.2} \ \end{array}

Required

The standard deviation

First, calculate the expected value E(x)

E(x) = \sum x * P(x)

So, we have:

E(x) = 0 * 0.2 + 1 * 0.1 + 2 * 0.1 + 3 * 0.2 + 4 * 0.2 + 5  * 0.2

E(x) = 2.7

Next, calculate E(x^2)

E(x^2) = \sum x^2 * P(x)

So, we have:

E(x^2) = 0^2 * 0.2 + 1^2 * 0.1 + 2^2 * 0.1 + 3^2 * 0.2 + 4^2 * 0.2 + 5^2  * 0.2

E(x^2) = 10.5

The standard deviation is:

\sigma = \sqrt{E(x^2) - (E(x))^2}

\sigma = \sqrt{10.5 - 2.7^2}

\sigma = \sqrt{10.5 - 7.29}

\sigma = \sqrt{3.21}

<em></em>\sigma = 1.8<em> --- approximated</em>

5 0
3 years ago
Other questions:
  • leandra has 40 coins that total 7.15 all of her coins are dimes,d, and quarters,q, which system of equations models this situati
    11·1 answer
  • I DONT UNDERSTAND ANYTHING ABOUT MY MATH HELP PLEASE!!!!!
    12·1 answer
  • Match each trigonometric function with its Unit Circle definition. Note that Angle A is correctly oriented for the Unit Circle d
    11·2 answers
  • A runner runs 8 miles in 92 minutes. What is the runner's unit rate.
    6·1 answer
  • Answer the picture please
    8·1 answer
  • What is 5 fifth plus 4 fifth
    9·2 answers
  • PLZ HELP ASAP!!!!!!!!!<br>WILL MARK BRAINLIST!!
    6·1 answer
  • Find the y-intercept of the line on the graph
    7·2 answers
  • Math quiz please help me out ASAP
    8·1 answer
  • 1. Jillian and Harold both leave the mall to go home headed in different directions. The angle between their paths towards home
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!