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3 years ago

8

The Cotton family purchases a glass sculpture in the shape of a rectangular pyramid. The base measures 7 1/2 inches by 5 inches.

If the volume of the sculpture is 75 cubic inches, what is the height of the pyramid, in inches?

1 answer:

maria [59]3 years ago

6 0

Answer:

H = v / (L x W) / 3

H = 75 / (37.5) / 3

H = 75 / 12.5

H = 6 inches

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Karolina [17]

Answer:

The equation is: <em>y</em> = 15·<em>x</em>

Step-by-step explanation:

It is provided that at the Speedy Bike Works, 15 bicycles are produced each hour.

Consider the table below.

Number of Hours: 1 3 6 10

Number of Bicycles Produced: 15 45 90 150

Compute the ratio of number of bicycles produced and number of hours for every data above as follows:

$\text{1 hour}=\frac{15}{1}=15:1\\\\\text{3 hour}=\frac{45}{3}=\frac{15}{1}=15:1\\\\\text{6 hour}=\frac{90}{6}=\frac{15}{1}=15:1\\\\\text{10 hour}=\frac{150}{10}=\frac{15}{1}=15:1$

The ratio of the number of bicycles produced and number of hours is same for every data value.

Thus, the relationship between the number of bicycles produced and number of hours is proportional.

The equation for the relationship is:

<em>y</em> = 15·<em>x</em>

<em>y</em> = number of bicycles produced

<em>x</em> = number of hours

4 0

3 years ago

Order these numbers in ascending order. -11/3, 90%, 89/4, 2

Delicious77 [7]

Answer:

$- \frac{11}{3} \: \: » \: \: 90\% \: » \: \: 2 \: \: » \: \: \frac{89}{4}$

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2 years ago

Whatis the answer to the problem

Stels [109]

Answer:

slope = $-\frac{1}{8}$

Step-by-step explanation:

Use the slope formula given in the question to solve for the slope. The $m$ is the variable representing the slope. The $x_1$ and $y_1$ values are x and y values of one point. The $x_2$ and $y_2$ are x and y values of another point.

So, use the x and y values of the points given and substitute them in the correct order into the formula:

$m = \frac{(7)-(9)}{(10)-(-6)}\\m = \frac{7-9}{10+6} \\m = \frac{-2}{16} \\m = -\frac{1}{8}$

Thus, the slope is $-\frac{1}{8}$ .

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3 years ago

Which of the following is an equation of a line parallel to the equation y=4x+1?

Reil [10]

Answer:

y = 4x + b, where b is any number

Step-by-step explanation:

Adrian, you need to share the possible answer choices.

Every line parallel to y = 4x + 1 has the slope 4.

This is true for any y-intercept, that is, for any b in y = mx + b.

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3 years ago

Complete the following equation: a2 = b2 + c2 - ______.

Dima020 [189]

Answer:

2 bc cos A

Step-by-step explanation:

Cosine rule

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3 years ago