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3 years ago

7

find the solution to #12 - You work at a carnival for 7.5 hours. You earn $71.25. Determine the hourly rate, r, for the time you

worked

1 answer:

Nastasia [14]3 years ago

5 0

Answer:

$9.50/hour

Step-by-step explanation:

All you need to do is 71.25/7.5 (money earned ÷ hours worked) to get 9.5!

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Katie's car averages 35 miles per hour. She has marked her

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3 years ago

George Washington, Andrew Jackson, Ulysses Grant, Dwight Eisenhower

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George Washington, Andrew Jackson, Ulysses Grant, and Dwight Eisenhower were all military leaders.

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3 years ago

A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of te triangle is 16m to the power of 2, what are the base

Olenka [21]

Answer:

The base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

Step-by-step explanation:

Given:

A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of the triangle is 16m to the power of 2.

Now, to find the base and height of the triangle.

The base of triangle = $x\times\frac{1}{2} =\frac{x}{2} \ m.$

The height of triangle = $x\times \frac{3}{4} =\frac{3x}{4}\ m.$

The area of triangle = $16\ m^2.$

Now, we put the formula of area to solve:

$Area=\frac{1}{2} \times base\times height$

$16=\frac{1}{2} \times \frac{x}{2} \times \frac{3x}{4}$

$16=\frac{3x^2}{16}$

<em>Multiplying both sides by 16 we get:</em>

<em /> $256=3x^2$ <em />

<em>Dividing both sides by 3 we get:</em>

<em /> $\frac{256}{3} =x^2$ <em />

<em>Using square root on both sides we get:</em>

$\frac{16}{\sqrt{3}}=x$

$x=\frac{16}{\sqrt{3}}$

Now, by substituting the value of $x$ to get the base and height:

$Base=\frac{x}{2}\\\\Base=\frac{\frac{16}{\sqrt{3}}}{2} \\\\Base=\frac{8}{\sqrt{3}} \ m.$

<em>So, the base of triangle = </em> $\frac{8}{\sqrt{3}} \ m.$ <em />

$Height=x\times\frac{3}{4} \\\\Height=\frac{16}{\sqrt{3}}\times \frac{3}{4} \\\\Height=\frac{12}{\sqrt{3}} \ m.$

<em>Thus, the height of triangle = </em> $\frac{12}{\sqrt{3}} \ m.$ <em />

Therefore, the base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

7 0

4 years ago

Bob is 10 years older than jake. the sum their ages is 38 how old are they?

ser-zykov [4K]

Bob is 24. Jake is 14.

24 + 14 = 38.

7 0

3 years ago

Read 2 more answers

Solve by addition ANSWER NOW

VikaD [51]

-3x + y = 3
3x + 2y = -12
-----------------add
3y = - 9
y = -9/3
y = -3

3x + 2y = -12
3x + 2(-3) = -12
3x - 6 = -12
3x = -12 + 6
3x = - 6
x = -6/3
x = -2

solution is (-2,-3)

4 0

3 years ago