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velikii [3]
2 years ago
11

A sector with a radius of 6cm has a central angle measure 4pie/9 (in radius)

Mathematics
1 answer:
Leona [35]2 years ago
6 0

Answer:

8πcm² = 8pi cm²

Step-by-step explanation

The formula for area of a sector = ½r²θ

Where r = radius = 6cm

θ = central angle = 4pi/9 in radians = 4π/9

Area of the sector = 1/2 × 6² × 4π/9

Area of the sector = (144π/18)cm²

Area of the sector = 8πcm²

Therefore, Area of the sector =

8πcm² = 8pi cm²

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If a^ 1/n = n What is an equivalent form of 7? Show steps plz!
Scrat [10]

Answer:

7⁷

Step-by-step explanation:

a^(1/7) = 7

a = 7⁷

6 0
3 years ago
When calculating the circumference of a circle, sometimes the radius is given instead of the diameter. What is the relationship
Gwar [14]
The diameter is equal to the radius multiplied by 2.
3 0
3 years ago
Can you answer this please
hjlf
I think it’s 155in 2
6 0
3 years ago
Why is the answer A? Plzzz explain.
Contact [7]

Answer:


Step-by-step explanation:

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

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

f(x + a) = x^2 + 2ax + a^2 + 4x + 4a + 4   Now combine like terms and use the distributive property.

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

We are told that f(x + a) = x^2 - 6x + 9

So that means that

2a + 4 = - 6      Subtract 4 from both sides.

2a = - 6 - 4

2a = - 10          Divide by 2

a = - 10/2

a = - 5.            

But you are not finished. You have to check the last part.

a^2 + 4x + 4 = 9

(a + 2)^2 = 9

Take the square root of both sides

sqrt(a+ 2)^2 = +/- 3

a+2 = 3

a = 1.

Does this work or is it extraneous? It is extraneous because it will not work for  2(a) + 4 = - 6  

You get 6 = - 6 which is not correct. But you did give the second best answer.

a + 2 = - 3

a = - 3 - 2

a = - 5 which agrees with your previous answer.

===========

This is an extremely hard or tricky or sneaky problem. It takes a lot of conniving to get the right answer and 1 is not a left field answer. It just does not happen to be correct.

8 0
3 years ago
At a certain time of day, a 30-foot building casts a 10 foot shadow. How tall is a person who casts a 2 foot shadow?
Anni [7]

Answer:

C)  6 feet

Step-by-step explanation:

set up a proportion of height/shadow = height/shadow

30/10 = h/2

cross-multiply:

10h = 60

h = 6

4 0
2 years ago
Read 2 more answers
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