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1 year ago

If concrete was selling for $55.5 per cubic yard, how much did you spend to pave the sidewalk? (See 162 cubic feet.)

Mathematics

1 answer:

Troyanec [42]1 year ago

3 0

Given:

The volume of the sidewalk is 162 cubic feet.

In yards,

$\frac{162}{3\times3\times3}=6\text{ cubic yards}$

The selling price of concrete is $55.5 per cubic yard.

To find the amount that I spend to pave the sidewalk:

So,

$6\times55.5=\text{ \$}333$

Hence, the amount that I spend to pave the sidewalk is $333.

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♨ $\large{ \tt{ E \: X \: P \: L \: A \: N \: A \: T \: I\: O \: N}}:$

⤻ Before solving the given question , you should know the answer of these questions :

✺How do you find the hypotenuse , perpendicular and base when the angle ( $\theta \: , \alpha \: ,\beta$ ) is given ?

⇾ The longest side , which is the opposite side of right angle is the hypotenuse ( h ). There are two other sides , the opposite and the adjacent. The naming of these sides depends upon which angle is involved. The opposite is the side opposite the angle involved and it is called the perpendicular ( p ) . The adjacent us the side next to the angle involved ( buy not the hypotenuse ) and it is called the base ( b ).

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Perpendicular ( p ) = ? , Hypotenuse ( h ) = 18 & base ( b ) = 16

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Value of tan $\theta$

✎ $\large{ \tt{SOLUTION}} :$

Firstly , Finding the value of perpendicular ( p ) using Pythagoras theorem :

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$\large{ ⇢ \sf{p}^{2} + {b}^{2} = {h}^{2} }$

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$\large {\tt{↬ \: tan \theta = \frac{2 \sqrt{17} }{16}}}$

$\large{ \tt{ ↬ tan \theta = \frac{ \cancel{2} \: \sqrt{17} }{ \cancel{16} \: \: 8} }}$

$\large{ \tt{ ↬ \boxed{ \tt{tan \theta = \frac{ \sqrt{17} }{8}}}}}$

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Never lose hope & keep on working ! ✔

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