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zvonat [6]
3 years ago
10

a water tank in the shape of a right rectanglar prism is 11 feet deep. the top of the water tank has an area of 220 square feet.

What is the volume, in cubic feetof the water tank?What opration do i use?
Mathematics
1 answer:
Simora [160]3 years ago
7 0
 The Answer is 2420 ft^3
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Answer:

<h3>B = 48.7° , C = 61.3° , b = 12</h3>

Step-by-step explanation:

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\frac{ |a|  }{ \sin(A) }  =  \frac{ |c| }{ \sin(C) }

From the question

a = 15

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\frac{15}{ \sin(70) }  =  \frac{14}{ \sin(C) }

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<h3>C = 61.3° to the nearest tenth</h3>

Since we've found C we can use it to find B.

Angles in a triangle add up to 180°

To find B add A and C and subtract it from 180°

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A + B + C = 180

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<h3>B = 48.7° to the nearest tenth</h3>

To find b we can use the sine rule

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\frac{ |a| }{ \sin(A) }  =  \frac{ |a| }{ \sin(B) }

\frac{15}{ \sin(70) }  =  \frac{ |b| }{ \sin(48.7) }

|b|  =  \frac{15 \sin(48.7) }{ \sin(70) }

b = 11.9921

<h3>b = 12.0 to the nearest tenth</h3>

Hope this helps you

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