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sineoko [7]
3 years ago
11

Mike mowed the lawn for 1 1/2 hours. He charged $12. How much did he charge per hour?

Mathematics
1 answer:
mezya [45]3 years ago
7 0
$1.04 per hour you take the total dollars and divide it by 11.5 or 11 and a half and you get $1.04
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the surface area of a sphere is 1,017.36 square inches.what is the volume of the sphere? use 3.14 for pi
emmasim [6.3K]

Answer:

<em>Area = 254.34 inches ³</em>

Step-by-step explanation:

The formula to find the surface area of a sphere is:

SA = 4\pi r^{2}

To find the volume of the sphere, we first need to figure out the radius (r) of the sphere. We can accomplish this by reversing the formula that was used to find the surface area. (1017.36 in^{2})

SA = 4\pi r^{2}

1017.36 = 4\pi r^{2}

Divide both sides by pi (3.14).

1017.36 = 4\pi r^{2}

324 = 4 r^{2}

Divide both sides by 4.

324 = 4 r^{2}

81 = r^{2}\\

Find the square root of both sides.

81 = r^{2}\\

\sqrt{81} = r

<em>radius = 9</em>

<em />

Insert the value of the radius into the formula for finding the volume of a sphere. (A=\pi r^{2})

(A=\pi r^{2})

A=\pi (9)^{2}

A=\pi (81)

A = 254.34

<em>Area = 254.34 inches ³</em>

<em />

~Hope this helps!~

4 0
3 years ago
The sum of two numbers is 70.<br> One number is 10 more the twice the other number.
GalinKa [24]

Answer:

20 and 50

Step-by-step explanation:

x + y = 70

y = 2x + 10

Use the substitution method:

y = 70 - x

y = 2x + 10

70 - x = 2x + 10

3x = 60

x = 20

x + y = 70

20 + y = 70

y = 50

<u>x = 20</u>

<u>y = 50</u>

<u />

4 0
3 years ago
Is 33,44,55 a right triangle?
Paul [167]

Answer:

Yes!

Step-by-step explanation:

We know that right triangles follow the Pythagorean Theorem, where

a^{2} + b^{2} = c^{2}

So we will put our side lengths into this formula, keeping in mind that c = the hypotenuse, which is the longest side. a and b are fairly arbitrary.

33^{2} + 44^{2} = 55^{2}

If this works, we know it's a right triangle.

1089 + 1936 = 3025

3025 = 3025

It worked! It's a right triangle!!

6 0
2 years ago
Read 2 more answers
Solve each inequality, graph the solution on the number line, and write the solution in interval notation
Lubov Fominskaja [6]

Answer:

(-\infty,+\infty)

Step-by-step explanation:

The given inequality is 3x-2>4 or 5x-3\leq 7

We group similar terms to obtain: 3x>4+2 or 5x\le7+3

Simplify to get:

3x>6 or 5x\le10

x>2 or x\le 2

This implies that the solution set is all real numbers.

The solution in interval notation is (-\infty,+\infty)

5 0
3 years ago
What is the equation of the following line? Be sure to scroll down first to see all answer options.
Annette [7]
From the figure the given line passes through the points (0, 0) and (-4, 8).

Recall that the equation of a straight line is given by
\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}

Thus, The equation of the given figure is given by
\frac{y-0}{x-0} = \frac{8-0}{-4-0}= \frac{8}{-4}  \\  \\ -4y=8x \\  \\ y=-2x
8 0
3 years ago
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