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svp [43]
4 years ago
15

Find the radius of a circle in which the central angle of (pie /4 ) radian determines a sector with an area of 86m^2

Mathematics
1 answer:
LenKa [72]4 years ago
6 0
Area of sector  = 1/2 * r^2 * x   where r = radius and x = angle in radians

86 = 1/2 * r^2 * pi/4

r^2 = 2 * 86 * 4  / pi  =  219

r =  sqrt 219

= 14.80
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3 years ago
Mark and peter went to an arcade where the machines took tokens. Marilk played 9 games of ping pong and 5 games of pinball, usin
Readme [11.4K]

Answer:

9x + 5y = 29 ........... (1) and

3x + y = 7 ........... (2)

Each game of ping pong requires 1 number of token and each game of pinball requires 4 number of tokens.

Step-by-step explanation:

Let, each game of ping pong requires x number of tokens and each game of pinball requires y number of tokens.

So, from the given conditions we can write

9x + 5y = 29 ........... (1) and

3x + y = 7 ........... (2)

Now, solving equations (1) and (2) we get,

9x + 5(7 - 3x) = 29

⇒ 35 - 6x = 29

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Now, putting x = 1 in equation (2) we get,

3 + y = 7

⇒ y = 4 tokens.

So, each game of ping pong requires 1 number of token and each game of pinball requires 4 number of tokens. (Answer)

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3 years ago
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