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3 years ago

If the volume of the pyramid shown is 360 inches cubed, what is its height?

Mathematics

1 answer:

dimaraw [331]3 years ago

4 0

Answer:

9 inches

Step-by-step explanation:

The formula for the volume of a rectangular pyramid is $V = \frac{1}{3}(l*w*h)$

Here we have volume (V), base (L), and width (W)
V = 360 in³, L = 12 in, W = 10 in

We need to manipulate the volume equation to solve for the height (H)

First we need to multiply both sides by 3 to get rid of the fraction: 3V = L×W×H
Then we need to divide both sides by (L×W) to get: $\frac{3V}{lw} =h$

Now we can plug in the given values:

$\frac{3(360in^{3}) }{(12 in)(10in)} =\frac{1080in^{3} }{120in^{2} } = 9in$
The height is 9 inches

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ale4655 [162]

Answer:

± 27.33 ft

Step-by-step explanation:

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(-50-0)/(-40-0) = 50/40 = 1.25

Similarly, we can estimate the slope of a perpendicular line to the line of the ball path as: -1*(1/1.25) = -0.8.

Therefore, using (0,0) and the slope -0.8, the equation of the perpendicular line is: -0.8 = (y-0)/(x-0);

-0.8 = y/x

y = -0.8x

Furthermore, we are given the circle radius as 35 ft and we can use the distance formula to find the two points 35 ft far from the origin:

35^2 = x^2 + y^2

y = -0.8x

35^2 = x^2 + (-0.8x)^2

1225 = (x^2 + 0.64x^2)

1225 = 1.64x^2

x^2 = 1225/1.64 = 746.95

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5 0

3 years ago

3 4/7 minus 2 1/5 by rounding to the nearest half

mylen [45]

Answer:

$1 \frac{13}{35}$

Step-by-step explanation:

$3 \frac{4}{7} - 2 \frac{1}{5}$

you can solve for the fractions first, but you have to give them a common denominator

$\frac{20}{35}- \frac{7}{35}$

$= \frac{13}{35}$ which is in simplest form

then solve for the whole numbers

3-2=1

therefore, the answer is $1 \frac{13}{35}$

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