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gladu [14]
3 years ago
5

12a − 3(7 + 5a) help pls

Mathematics
2 answers:
dangina [55]3 years ago
6 0

Answer:

27a-21

Step-by-step explanation:

12a-3(7+5a)

distribute the 3

3x7=21

3x5a=15a

12a-21+15a

12a+15a=27a

27a-21

Simora [160]3 years ago
4 0

Answer:

-3a-21

Step-by-step explanation:

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When you multiply a number by 12 and subtract the product from 360, the difference is 216. Find the number.
tresset_1 [31]

The equation will be 12a – 360 = 216. Then the value of the variable a will be 48.

<h3>What is the solution of the equation?</h3>

The solution of the equation means the value of the unknown or variable.

When you multiply a number by 12 and subtract the product from 360, the difference is 216.

Let the number be a.

Then we have the equation

12a – 360 = 216

By solving the equation, we have

12a = 216 + 360

12a = 576

   a = 576/12

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More about the solution of the equation link is given below.

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A ball with a rebound percentage of 45% was dropped from a height of 215feet. What is the height of the ball after the 5th bounc
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Step-by-step explanation:

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3 years ago
A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is 57feet and the statue subte
AleksandrR [38]

Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

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\angle x=\angle RPQ= which is unknown.

Let us begin solving now. The first step is to find the angle \angle x which can be found by using the following trigonometric ratio in \Delta PQR :

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We can again use the tan trigonometric ratio in \Delta SPQ to solve for the height of the statue, h.

This can be done as:

tan(\angle SPQ)=\frac{SQ}{PQ}

tan(7.1^0+20.22^0)=\frac{SR+RQ}{PQ}

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Thus, the height of the statue is approximately, 8.45 feet.

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