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3 years ago

The volume of a rectangular prism is 165 cubic inches. The base of the prism has an area of 15 square inches.

Mathematics

1 answer:

marta [7]3 years ago

3 0

Answer:

H = 11

Step-by-step explanation:

volume is 165

base is 15.

V = Bh

165 = 15 x ?

? = 11

check answer

15 x 11 = 165

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Step-by-step explanation:

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3 years ago

Find the approximate perimeter of ABC plotted below.

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Answer:

B. 21.2

Step-by-step explanation:

Perimeter of ∆ABC = AB + BC + AC

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B(-2, 3)

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✔️Distance between A(-4, 1) and B(-2, 3):

$AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

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✔️Distance between B(-2, 3) and C(3, -4):

$BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$BC = \sqrt{(3 - (-2))^2 + (-4 - 3)^2} = \sqrt{(5)^2 + (-7)^2)}$

$BC = \sqrt{25 + 49}$

$BC = \sqrt{74}$

BC = 8.6 units (nearest tenth)

✔️Distance between A(-4, 1) and C(3, -4):

$AC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$AC = \sqrt{(3 - (-4))^2 + (-4 - 1)^2} = \sqrt{(7)^2 + (-5)^2)}$

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AC = 8.6 units (nearest tenth)

Perimeter of ∆ABC = 4 + 8.6 + 8.6 = 21.2 units

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