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Ipatiy [6.2K]
3 years ago
14

A diagonal shortcut across a rectangular lot is 130 feet long. The lot is 50 feet long. What is the other dimension of the lot

Mathematics
1 answer:
ryzh [129]3 years ago
6 0
We use the pithagorean formula: x^2 = 130^2 - 50^2 = 16900 -2500 = 14400;
then, x = \sqrt{14400} = 120 feet has the other dimension of the lot.
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3 years ago
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Answer:

1)Area; A = ¼πr²

Perimeter; P = πr/2 + 2r

2)A = 19.63 cm²

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3) r = 8.885 cm

4) r = 14 cm

Step-by-step explanation:

This is a quadrant of a circle. Thus;

Area of a circle is πr². A quadrant is a quarter of a circle. Thus;

Formula for Quadrant Area is; A = ¼πr²

A) Perimeter of a circle is 2πr. Thus, perimeter of a quadrant is a quarter of the full circle perimeter.

Formula for the quadrant perimeter in the image given is;

P = 2πr/4 + 2r

P = πr/2 + 2r

B) When r is 5 cm;

A = ¼π(5)²

A = 19.63 cm²

P = π(5)/2 + 2(5)

P = 17.85 cm

C) when A is 100cm²:

¼πr² = 100

r² = 100 × 4/π

r² = 78.9358

r = √78.9358

r = 8.885 cm

D) when P = 50 cm.

50 = πr/2 + 2r

50 = (½π + 2)r

r = 50/(½π + 2)

r = 14 cm

6 0
2 years ago
Does -8x+8=0 have a solution ?
dusya [7]

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How is domain of the function f(x)=sinx restricted so that its inverse function exists?
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In order for the function sin x to have an inverse function sin⁻¹x due to the monotony, the domain is taken D(x) :  [- π/2, π/2] and the range of sin⁻¹x  is CD(x) :  [- π/2, π/2].

God is with you!!!

8 0
3 years ago
F g(x) = 2(x − 4), find the value of x if g(x) = 20.
prisoha [69]

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3 years ago
Read 2 more answers
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