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2 years ago

What is the volume of the right prism? ______ft3

Mathematics

1 answer:

oksian1 [2.3K]2 years ago

4 0

Volume = Length x Width x Height

Length = 4 ft
Width = 4 ft
Height = 15 ft

Volume = 4 ft x 4 ft x 15 ft = 240 ft^3

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Subtract. 5/1/10-2 9/10 Write your answer as a mixed number in simplest form.

Ahat [919]

Answer:

$= 2 \frac{1}{5}$

Step-by-step explanation:

$5 \frac{1}{10} - 2 \frac{9}{10} \\ \frac{51}{10} - \frac{29}{10} \\ = \frac{22}{10} \\ = 2 \frac{2}{10} \\ = 2 \frac{1}{5}$

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3 years ago

The sum of three numbers is 3. if the second number is subtracted from the sum of the first and third numbers, the result is 9.

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Let the three numbers be x, y, and z.

If the sum of the three numbers is 3, then x+y+z=3

If subtracting the second number from the sum of the first and third numbers gives 9, then x+z-y=9

If subtracting the third number from the sum of the first and second numbers gives -5, then x+y-z=-5

This forms the system of equations:
[1] x+y+z=3
[2] x-y+z=9
[3] x+y-z=-5

First, to find y, let's take do [1]-[2]:
x+y+z=3
-x+y-z=-9
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Then, to find z, let's do [1]-[3]:
x+y+z=3
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2z=8
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Now that you have y and z, plug them into [1] to find x:
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3 years ago

A circle has a radius of 5.4 m. what is the exact length of an arc formed by a central angle measuring 60°? enter your answer in

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The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

<h3>What is the Length of an Arc?</h3>

The length of an arc is given by the formula,

$\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}$

where

θ is the angle, which arc creates at the centre of the circle in degree.

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° can be written as

$\text{Length of the Arc} = 2\pi r \dfrac{\theta}{360}$

$= 2 \times \pi \times 5.4 \times \dfrac{60}{360}\\\\=5.655\rm\ m$

Hence, the length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

Learn more about Lenght of the Arc:

brainly.com/question/1577784

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2 years ago

A family of two adults and three children goes to a play admission costs eight dollars per adult and $5 per child. What expressi

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D = adult
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