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Anika [276]
3 years ago
8

If the volume of the pyramid shown is 216 inches cubed, what is the area of its base?

Mathematics
2 answers:
Eddi Din [679]3 years ago
7 0

Answer:

D.) 108 in.2

Step-by-step explanation:

Use the equations you know to help you figure this out. It may not be easy, but for you to understand, you need to learn how to do it. If you want work, try it out.. Not to be rude...

mars1129 [50]3 years ago
6 0

Answer:

D) 108 inches squared.

Step-by-step explanation:

When you have the height of a pyramid, you must find the area of the base. Then multiply the base and height. When you find the product, divide this by three. There's your answer.

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<img src="https://tex.z-dn.net/?f=10-%5Cfrac%7B3y-1%7D%7B2%7D%20%3D%5Cfrac%7B6y%2B3%7D%7B11%7D" id="TexFormula1" title="10-\frac
Ghella [55]

10-\frac{3x-1}{2} =\frac{6x+3}{11}

10 = \frac{6x+3}{11} + \frac{3x-1}{2}

10 = (\frac{6x+3}{11} \times  \frac{2}{2} ) + (\frac{3x-1}{2} \times  \frac{11}{11} )

10 = ( \frac{2(6x + 3)}{22} ) + ( \frac{11(3x - 1)}{22} )

10 =  \frac{12x + 6}{22}  +  \frac{33x - 11}{22}

10 =  \frac{12x + 6 + 33x  - 11}{22}

10 =  \frac{(12 x + 33x) + (6 - 11)}{22}

10 =  \frac{45x - 5}{22}

10 \times 22 = 45x - 5

220 = 45x - 5

220 + 5 = 45x

225 = 45x

\frac{225}{45}  = x

\frac{45}{9}  = x

5 = x

7 0
2 years ago
Where v is the final velocity (in m/s), u is the initial velocity (in m/s), a is the acceleration (in m/s²) and s is the distanc
drek231 [11]

Answer:

C. 178−−−√ m

Step-by-step explanation:

Given the following :

v = final velocity (in m/s)

u = initial velocity (in m/s)

a = acceleration (in m/s²)

s = distance (in meters).

Find v when u is 8 m/s, a is 3 m/s², and s is 19 meters

Using the 3rd equation of motion :

v^2 = u^2 + 2as

v^2 = 8^2 + 2(3)(19)

v^2 = 64 + 114

v^2 = 178

Take the square root of both sides :

√v^2 = √178

v = √178

6 0
3 years ago
The quotient of (x⁴+ 5x³ 3x - 15) and (x³ - 3) is a polynomial. What is the quotient?
lesya [120]

Answer:

x+5 (under assumption you meant to do -3x

Step-by-step explanation:

you can use long division.

Take the leading coefficient x^4 and divide it by x^3. This results in x which is going to be the first part of you quotient. Now take that x and multiply it by the divisor (x^3 - 3). This gives you x(x^3 - 3) = x^4 - 3x. Now subtract that x^4 - 3x from the original polynomial and repeat this until you can't divide anymore

x^4+5x^3-3x-15 - (x^4-3x) = 5x^3-15\\x^3/5x^3=5\\5(x^3-3) = 5x^3-15\\5x^3-15-(5x^3-15) = 0\\\\x+5

6 0
2 years ago
A microwave cost 200 plus 20% VAT what is the total price ​
iris [78.8K]

Answer:

Total price = 240

Step-by-step explanation:

a microwave cost = 200

20% of 200 = 20/100 x 200 = 40

total price ​= 200 plus 20% VAT = 200 + 40 = 240

7 0
3 years ago
Is it more difficult to run up a ramp with a slope of 15 or a ramp with a slope of 5? Explain.
notsponge [240]

Answer:

the slope of 15 is more difficult to run on

Step-by-step explanation:

The larger the slope, the steeper the ramp.  A slope of zero is a horizontal line, which would be relatively easy to run on.  A slope of undefined is a wall, which we cannot run on (we would fall off).   The larger the number, the steeper it gets

6 0
3 years ago
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