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3 years ago

I need this please help

Mathematics

1 answer:

rjkz [21]3 years ago

7 0

Answer:

a) sine
b) 9.8 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA helps you remember the definitions of the trig functions. In particular, the function that involves the Opposite side and the Hypotenuse is the Sine function:

... Sin = Opposite/Hypotenuse

In this problem that means ...

... sin(55°) = x/(12 ft)

Multiplying by 12 ft, we have ...

... (12 ft)·sin(55°) = x ≈ 9.82982 ft ≈ 9.8 ft

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Answer:

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3 years ago

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3 years ago

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Step-by-step explanation:

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lakkis [162]

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4 years ago

the volume of a storage tub shaped like a rectangular prism is 24 ft cubed. The height of the top is 3 ft the width is W feet in

kondor19780726 [428]

<h2>Answer:</h2>

$\boxed{W=2ft}$

<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. On the other hand, a rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:

$V=L\times W\times H$

From the statement of the problem we know:

$V=24ft^3 \\ \\ H=3ft \\ \\ W=W \\ \\ L=W+2$

So:

$24=(W+2)(W)(3) \\ \\ 3W(W+2)=24 \\ \\ 3W^2+6W-24=0 \\ \\ From \ the \ Quadratic \ Formula: \\ \\ W_{12}=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ W_{12}=\frac{-6 \pm \sqrt{6^2-4(3)(-24)}}{2(3)} \\ \\ W_{1}=2 \\ \\ W_{2}=-4$

Since we can't have negative distance, the only valid option is $\boxed{W=2ft}$

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3 years ago