A circle has an area of 36π in2. What is the area of a sector of the circle that has a central angle ofπ 6?

A)3 in2
B)6 in2
C)12 in2
D)196 in2

Answers

Answer 1

Answer: A central angle : π / 6 = 30 °
30 ° = 360 ° / 12
The area of the sector is 1/12 of the area of a circle.
Therefore area of the sector is:
A = 36 π / 12 = 3 π
Answer: A ) 3 π in²

Answer 2

Answer:

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Area of a circle = 36π in²

As we know the formula for "Area of circle ":

$Area=\pi r^2\n\n36\pi=\pi r^2$

Now, we need to calculate the area of sector.

As we know the formula for "Area of sector":

$Area\ of\ sector=(\theta)/(360\textdegree)\pi r^2\n\nArea\ of\ sector=(30)/(360)* 36\pi \n\nArea\ of\ sector=(1)/(12)* 36\pi\n\nArea\ of\ sector=3\pi\ in^2$

Hence, Option 'A' is correct.

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Answers

Answer:

Step-by-step explanation:

12x + 24y = 12(x + 2y)

12x - 24y = 12(x - 2y)

12x/24y = 12(x/2y)

Click on the pic,, plz help

Answers

Answer: - 2x^2 + 4x + 3

Step-by-step explanation:

( -x^2 - 4x - 5) + ( -x^2 + 8x + 8)

Take out parentheses:

- x^2 - 4x - 5 - x^2 + 8x + 8

Write in a way so that like terms are grouped together:

- x^2 - x^2 - 4x + 8x - 5 + 8

Combine 'x^2' terms:

- 2x^2 - 4x + 8x - 5 + 8

Combine 'x' terms:

- 2x^2 + 4x - 5 + 8

Combine integers:

- 2x^2 + 4x + 3

A function is graphed on a coordinate grid. As the domain values approach infinity, the range values approach infinity. As the domain values approach negative infinity, the range values approach negative infinity. To which family of functions might the described function belong?absolute value
exponential
cube root
square root

Answers

The family of functions to which the described function belongs is the C. Cube root.

What is a Cube Root?

This refers to the function family that contains a range that goes from the negative infinity to infinity.

Hence, we can see that from the given explanation of the function that the domain values approach infinity and the range values approach infinity, there is a similar shift to negative infinity and they belong to the cube root family.

Answers

Answer:

The answer is 3

Hope this helps!

Katie ran 200 meters in 32 seconds. What was Katie's speed?

Answers

Answer:

Step-by-step explanation:

200 divided by 32 =6.25 or 6

Taylor graphs the system below on her graphing calculator and decides that f(x)=g(x) at x=0, x=1, and x=3. Provide Taylor some feedback that explains which part of her answer is incorrect and why it is incorrect. f(x)=2x+1g(x)=2x^2+1