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blagie [28]
3 years ago
11

In a circle, a 90° sector has area 16π ft2. What is the radius of the circle?

Mathematics
1 answer:
Veronika [31]3 years ago
7 0
Sector area  = 0.5 * r^2 * angle (in radians)

so:

16 pi = 0.5 * r^2 * (90*pi/180)

r^2 = 16 pi /(0.25 pi) = 64

r = 8


therefore it would be d
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Need the answer plzz
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Answer:

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8 0
3 years ago
Explain why angle is considered a defined term in geometry.
77julia77 [94]

Answer:

An angle is considered a defined term in geometry because defined terms are terms that have a formal definition and can be defined using other geometrical terms.

Angle: Two rays that share the same endpoint, however, the rays take off in different directions. The area in the middle of the two rays is the angle measure.

5 0
3 years ago
3. Planet Fitness Club charges $30 per month for a membership. 24-Hour Fitness Club charges $22 per month plus an $80 initial fe
umka2103 [35]

Answer:

The number of months after which amount paid to two fitness clubs be the same is 10

Step-by-step explanation:

Given as :

The charge of Mikes fitness center = $30 per month fro membership

The charge of All-Day fitness center= $22 per month fro membership + $80            

                                                              initiation charge

Let The number of months after which amount paid to each club be same = x

So, According to question :

30 x = 22 x + 80

Or, 30 x - 22 x = 80

Or, 8 x = 80

So     x =

∴       x = 10

Hence The number of months after which amount paid to two fitness clubs be the same is 10    Answer

7 0
3 years ago
What are the restrictions on the domain of g o h?
umka21 [38]

g(x) = \sqrt{x-4} and h(x)= 2x-8

g o h is a composition function

First we find g o h

g o h is g(h(x))

We plug in h(x) in g(x)

We replace x  with 2x-8 in g(x)

g(h(x)) = g (2x-8) = \sqrt{2x-8-4} = \sqrt{2x-12}

g(h(x)) = \sqrt{2x-12}

To find domain we look at the domain of h(x) first

Domain of h(x) is set of all real numbers

now we look at the domain of g(h(x))

Negative number inside the square root is imaginary. so we ignore negative number inside the square root

So to find domain we set 2x - 12 >=0   and solve for x

2x - 12 >=0

add both sides by 12

2x >= 12

divide both sides by 2

x > = 6



5 0
3 years ago
Read 2 more answers
A wheel make 192 revolutions per minutes. how many revolutions does it make per second
valina [46]
\frac{192 revs}{min} *  \frac{1 min}{60 secs}

The minutes cancel out leaving you with:

\frac{192 revs}{60 secs} = 3.2 revs per second.

The wheel does 3.2 revolutions per second. 
3 0
4 years ago
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