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BARSIC [14]
4 years ago
15

Find the exact area of a circle having the given circumference. 3pi

Mathematics
1 answer:
Inessa [10]4 years ago
5 0

Answer:

A = (9/4)*pi units^2

Step-by-step explanation:

The equation for the circumference of a circle is C = 2*pi*r, where r is the radius.  Given that the actual value of the circumference is 3 pi, we equate this 3 pi to 2*pi*r:  3 pi = 2*pi*r.  

Dividing both sides of this equation by pi, we get 3 = 2r, so that r = 3/2.

The formula for the area of a circle of radius r is A = pi*r^2.

Here r = 3/2, so the area of this circle is

A = pi*(3/2 units)^2 = pi(9/4) units^2, or   A = (9/4)*pi units^2.

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What is the area of the real store in square inches? What is the area of the real store in square feet? What are the dimensions
AysviL [449]

Answer:

<u>The dimensions of the real store are 80 times bigger as per scale:</u>

  • 1.875 in * 80 = 150 in = 150/12 ft = 12.5 ft
  • 2.25 in * 80 = 180 in = 180/12 ft = 15 ft

<u>The area of the real store:</u>

  • 150 in * 180 in = 27000 in²
  • 12.5 ft * 15 ft = 187.5 ft²

6 0
3 years ago
A right triangle has one side that measures 4in. The angle opposite that side measures 80 degrees. What is the length of the hyp
Crazy boy [7]

Hello from MrBillDoesMath!

Answer:

4/sin(80)

which is approximately 4.06



Discussion:

From the triangle, not drawn too accurately  (see attachment)


sin(80) = side opposite /hypotenuse   =>

sin (80) =  4/c            =>       multiply both sides by "c"

c sin(80) = 4/c * c      =>      

c sin(80) = 4               =>      divide both sides by sin(80)

c = 4/sin(80)

and 4/sin(80) is approximately 4.06


Thank you,

MrB

6 0
3 years ago
Bill draws a regular octagon. He divides the octagon into eight congruent isosceles triangles. What are the measures of the thre
elixir [45]
Is there any more info you can give?
4 0
4 years ago
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- 6x + 5y - 2x + 4 =
pychu [463]

Answer:

-8x + 5y + 4

Step-by-step explanation:

- 6x + 5y - 2x + 4 Group like terms

-6x - 2x + 5y + 4

=  - 8x + 5y + 4

5 0
3 years ago
The ratio of clown fish to angelfish at a pet store is 5:4. The ratio of angelfish to a goldfish is 4:3. There are 60 clown fish
Digiron [165]
60/5 = 12

From the ratio we know that 5:4 is clownfish to angel fish, therefore

12*4 = 48

There are 48 angel fish.

4 angelfish : 3 goldfish

48/4 = 12

12*3 = 36

48:36

There are 36 goldfish. Hope this helps!
5 0
4 years ago
Read 2 more answers
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