Find the volume of the prism

Mathematics

1 answer:

leva [86]3 years ago

8 0

Using the formula given for area:

Area = 1/2 (7 +5)4 = 1/2(12)4 = 24 square cm.

Now to find the volume multiply the area by the depth:

24 x 6 = 144 cubic cm.

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Mathsgenie.co.uk

ioda

Answer:

180

Step-by-step explanation:

For each boy you choose, you choose one of the 15 girls.

This is the counting principle.

12 * 15 = 180

Answer: 180

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I'll give brainliest Your options are: A. 8 B. 14 C. 16 D. 20

love history [14]

Answer:

Vertical angles are the same angles of each other.

14 + 7 = 21

3(14) - 21 = 21

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3 years ago

What is the answer to this question ? Please answer !!

mylen [45]

$\text{Let}\ k:y=m_1x+b_1\ \text{and}\ k:y=m_2x+b_2,\ \text{then}\\\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\-------------------------\\\text{We have}\ 5x-y=-4.\ \text{Convert it to the slope-intercept form:}\\\\5x-y=-4\qquad\text{subtract 5x from both sides}\\\\-y=-5x-4\qquad\text{change the signs}\\\\y=5x+4\to m_1=5\to m_2=-\dfrac{1}{5}\\\\\text{Therefore we have}\ y=-\dfrac{1}{5}x+b.\\\\\text{The line passing through the point (-2, 2).}\\\text{Put the coordinates of the point to the equation:}$

$2=-\dfrac{1}{5}(-2)+b\\\\2=\dfrac{2}{5}+b\qquad\text{subtract}\ \dfrac{2}{5}\ \text{from both sides}\\\\1\dfrac{3}{5}=b\to b=\dfrac{8}{5}\\\\\text{Therefore we have the equation of a line in slope-intercept form:}\\\\y=-\dfrac{1}{5}x+\dfrac{8}{5}\\\\\text{Convert it to the standard form}\ Ax+By=C:\\\\y=-\dfrac{1}{5}x+\dfrac{8}{5}\qquad\text{multiply both sides by 5}\\\\5y=-x+8\qquad\text{add x to both sides}\\\\\boxed{x+5y=8}\to\boxed{[B]}$

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