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larisa [96]
2 years ago
15

Find the volume of a rectangular pyramid

Mathematics
1 answer:
Nesterboy [21]2 years ago
8 0

Answer:

192 yd³

Step-by-step explanation:

The volume of a rectangular pyramid is given by the formula:

V=\frac{1}{3} lwh\text{ where } l \text{ is the base length, }w \text{ is the base width, and }h \text{ is the pyramid height}

In this case: l = 9, w=8, h = 8

\therefore V=\frac{1}{3}(9\text{ yd})(8\text{ yd})(8\text{ yd})=192\text{ yd}^3

You might be interested in
16-25(b+3) square
Andre45 [30]
Since 16 and 25 are perfect squares you can factor the first part.
4^2-5^2(b+3)^2
=(4-5(b+3))(4+5(b+3))
=(4-5b-15)(4+5b+15)
=(-11-5b)(19+5b)

Which can be expanded if necessary,
= -209+150b-25b^2
4 0
3 years ago
Find the equation of a circle with a center at (–7, –1) where a point on the circle is (–4, 3).
gogolik [260]

Answer:

(x + 7)^2 + (y + 1)^2 = 25.

Step-by-step explanation:

The center of a circle is easy to set up. According to the formula below, the formula for the circle will be (x - a)^2 + (y - b)^2 = r^2.

In this case, a = -7 and b = -1, so we have...

(x - (-7))^2 + (y - (-1))^2 = r^2

(x + 7)^2 + (y + 1)^2 = r^2

To get the radius, we need to find the distance between the center and the point on the circle. The distance formula is d = sqrt((x2 - x1)^2 + (y2 - y1)^2).

In this case, x2 = -4, x1 = -7, y2 = 3, and y1 = -1.

sqrt((-4 - -7)^2 + (3 - -1)^2) = sqrt((-4 + 7)^2 + (3 + 1)^2) = sqrt((3)^2 + (4)^2) = sqrt(9 + 16) = sqrt(25) = plus or minus 5.

Since distance can only be positive, the distance is 5 units, meaning that the radius is 5 units.

5^2 = 25

So, your equation should be (x + 7)^2 + (y + 1)^2 = 25.

Hope this helps!

8 0
3 years ago
Which expression represent a number that is one fourth as great as 10-2
Nataliya [291]
I think the answer to the expression would be D. (10 - 2) x 4 because (10 - 2) would be multiplied 4 times, which means it would be four times greater. I hope this made sense and also helped you in some way.
5 0
3 years ago
Read 2 more answers
Select the THREE situations that could be represented by the product of two numbers equal to -20
Cerrena [4.2K]

Answer:

it might be 3 one according to me

8 0
2 years ago
I really need help on these two. Its fine if you dont get both of them. i will give you 25 points
masya89 [10]

<u><em>Answer:</em></u>

He read 1/3 of the book on the second day

He didn't finish the book in two days.

<u><em>Step-by-step explanation:</em></u>

Lets find 3/5 of 5/9

If we said, find 3/5 of x, the answer would be 3/5x.

3/5*x = 3/5x

In the same way, \frac{3}{5} *\frac{5}{9} = \frac{15}{45} = \frac{1}{3}

He read 1/3 of the book on the second day

Does 5/9 + 1/3 equal to 1?

1/3 = 3/9

5/9 + 3/9 = 8/9

He didn't finish the book in two days.

Hope this helps :)

Have a nice day!

3 0
2 years ago
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