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3 years ago

A rectangular pyramid has a volume of 1.512 in 3, a height of 12 in., and a base length of 21 in. What is the width of its base?

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

4 0

Answer:

18 inches

Step-by-step explanation:

Volume of a pyramid is:

V = ⅓ Ah

where A is the area of the base, and h is the height of the pyramid.

The base is a rectangle. Area of a rectangle is width times length, so:

V = ⅓ wlh

Plugging in values and solving:

1512 = ⅓ w (21) (12)

w = 18

The width of the base is 18 inches.

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Which equation represents the line that passes through (–6, 7) and (–3, 6)? y = –y equals negative startfraction one-third endfr

egoroff_w [7]

The equation represents the line that passes through (–6, 7) and (–3, 6) $\rm y=\dfrac{-1}{3}x+5$ .

<h3>What is the slope of the equation?</h3>

For all lines in slope y-intercept form, it would be very simple to just find the answer by finding yourself the slope and y-intercept of the line in question.

The slope of the line is;

$\rm m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m =\dfrac{7-6}{-6-(-3)}\\\\m = \dfrac{1}{-3}$

The equation represents the line that passes through (–6, 7) and (–3, 6) is;

$\rm y=\dfrac{-1}{3}x+b\\\\6=\dfrac{-1}{3}(-3)+b\\\\6=1+b\\\\b = 6-1\\\\b=5$

The required line of the equation is;

$\rm y =mx+c\\\\y=\dfrac{-1}{3}x+5$

Hence, the equation represents the line that passes through (–6, 7) and (–3, 6) $\rm y=\dfrac{-1}{3}x+5$ .

To know more about the equation of line click the link given below.

brainly.com/question/8955867

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1 year ago

PLEASE HELP Show all Your work 25 points will give brainly

julsineya [31]

Answer:

x=9

Step-by-step explanation:

√117²=x²+6²

117=x²+36

x²=117-36

x²=81

x=9

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Mashcka [7]

Answer:

It's minor arc AC, it's true

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