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musickatia [10]
2 years ago
10

A given gas powered water pump delivers 42.50 gallons of water per minute. This value can also be expressed as _____________ L/s

(Liters per second).
Mathematics
1 answer:
OlgaM077 [116]2 years ago
5 0

The rate at which the gas powered pump deliver water is 160.9 litres per seconds

<h3>How to convert rate?</h3>

The gas powered water pump delivers 42.50 gallons of water per minute.

Therefore,

1 gallon = 3.78541 litres

42.50 gallons = ?

cross multiply

volume = 42.50 × 3.78541 = 160.879925 litres

Hence,

60 seconds = 1 minutes

1 second = ?

time = 1 / 60 = 0.01666666666 seconds

Hence,

rate = 160.9 litres per second

learn more on rate here: brainly.com/question/20561529

#SPJ1

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Find the volume of a right prism with height h=10 cm, The base is equilateral triangle with side 4 cm, base altitude of ≈ 3.5 cm
cestrela7 [59]
<h2>Answer:</h2>

\boxed{V=40\sqrt{3}cm^3}

<h2>Step-by-step explanation:</h2>

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. In a right prism every edge that connects the base and the opposite face makes right angles with both faces. Moreover, a triangular prism is a solid whose base is a triangle. In general, a prism's volume is always equal to the area of its base, which has the same area of the top face, times its height. In mathematical language:

V=A_{b}\times H \\ \\ Where: \\ \\ A_{b}:Base \ Area \\ \\ H:Height

Since the base is an equilateral triangle with side 4 cm, then we'll use Heron's formula to find the area. This formula uses triangle's side lengths and the semiperimeter. A polygon's semiperimeter s is half its perimeter. So the area of a triangle can be found by A=\sqrt{s(s-a)(s-b)(s-c)} being a,\:b\:and\:c the corresponding sides of the triangle. So:

s=\frac{4+4+4}{2}=6cm \\ \\ a=b=c=4cm \\ \\ A_{b}=\sqrt{6(6-4)^3}=4\sqrt{3}cm^2

Finally:

V=4\sqrt{3}\times 10 \\ \\ \boxed{V=40\sqrt{3}cm^3}

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