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Free_Kalibri [48]
4 years ago
10

The area of a circle is 25 in. What is it’s radius?

Mathematics
1 answer:
Lesechka [4]4 years ago
5 0
\bf \textit{area of a circle}\\\\
A=\pi r^2~ 
\begin{cases}
r=radius\\
-----\\
A=25
\end{cases}\implies 25=\pi r^2\implies \cfrac{25}{\pi }=r^2
\implies 
\sqrt{\cfrac{25}{\pi }}=r
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Answer:

640 yard²

Step-by-step explanation:

From the question,

The surface are of a triangular prism is given as

A = bh+2ls+lb.................. Equation 1

Where A = Surface area of the triangular prism, b = base of of the triangular face, h = height of the triangular face, l = length of the triangular prism, s =  length of one of the other sides of the triangle

Given: l = 17 yards, b = 12 yards, h = 8 yards, s = 10 yards.

Substitute these values into equation 1

A = [(12×8)+(2×17×10)+(17×12)]

A = 96+340+204

A = 640 Yard²

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3 years ago
Find the slope of a line which goes through the points (2,5) and (−4,3)
natka813 [3]

Answer:

slope (m) = 0.75

Step-by-step explanation:

Slope (m) =

ΔY

ΔX

=

1

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θ =

arctan( ΔY ) + 180°

ΔX

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ΔY = 3 – 5 = -2

Distance (d) = √ΔX2 + ΔY2 = √40 = 6.3245553203368

Equation of the line:

y = 0.33333333333333x + 4.3333333333333

or

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When x=0, y = 4.3333333333333

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3 years ago
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Nat2105 [25]
Answer:
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Rainbow [258]

Answer:

see explanation

Step-by-step explanation:

Given

\sqrt{\frac{4x^2}{3y} }

= \frac{\sqrt{4x^2} }{\sqrt{3y} }

= \frac{2x}{\sqrt{3y} }

Rationalise the denominator by multiplying the numerator/ denominator by \sqrt{3y}

Note that \sqrt{a} × \sqrt{a} = a

= \frac{2x}{\sqrt{3y} } × \frac{\sqrt{3y} }{\sqrt{3y} }

= \frac{2x\sqrt{3y} }{3y}

5 0
4 years ago
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belka [17]

Answer:

x = 15

Step-by-step explanation:

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9x - 7x = 25 + 5

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x = 15

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