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NNADVOKAT [17]
3 years ago
15

15. The volume of a rectangular pyramid

Mathematics
1 answer:
max2010maxim [7]3 years ago
5 0

Answer:

Its height is <u>24.71 centimeters</u>.

Step-by-step explanation:

Given:

The volume of a rectangular pyramid  is 10,500 cubic centimeters.

It has a  length of 15 centimeters and a width of  85 centimeters.

Now, to find the height.

Let the height be h.

Volume of rectangular pyramid  = 10,500 cubic centimeters.

Length (l) = 15 centimeters.

Width (w) = 85 centimeters.

Now, to get the height by putting formula:

Volume=\frac{l\times w\times h}{3}

10500=\frac{15\times 85\times h}{3}

10500=\frac{1275h}{3}

<em>Multiplying both sides by 3 we get:</em>

31500=1275h

<em>Dividing both sides by 1275 we get:</em>

24.71 =h\\\\h=24.71\ centimeters.

Therefore, its height is 24.71 centimeters.

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Solve:7 +42-32-32 = 14.3-2a +7<br> A = -3<br> A= 0<br> A= 3<br> no solution
madreJ [45]

Answer:

a = 18.15

Step-by-step explanation:

7+42-32-32=14.3-2a+7

Combine like terms on the left side of the equation first. Add 7 and 42, then subtract 32 from the answer you get, then subtract 32 from that answer. This is going by order of PEMDAS.

Remember PEMDAS: (numbers 3 & 4 and numbers 5 & 6 are solved from left to right)

  1. Parentheses
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-15=14.3-2a+7

After combining like terms on the left side, you get -15. Now combine like terms on the right side of the equation by adding 14.3 and 7.

-15=21.3-2a

Get -2a alone by subtracting 21.3 from both sides.

-36.3=-2a

Divide both sides by -2.

a=18.15

In this equation, a should equal \boxed{18.15}.

5 0
2 years ago
62 strings of orange lights and 22 strings of yellow lights were used in the house each string of lights has 36 bulbs how many b
Allisa [31]

62 + 22 = 84 total light strings.

36 bulbs/string multiplied by 84 light strings = 3,024 total light bulbs

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3 years ago
F(x) = -7x2 + 9x - 15 and g(x) = -12x2 – 15x + 7
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Answer:

{5x}^{2}  + 6x =  - 8

Step-by-step explanation:

This question is asking you to insert two equations, f(x) and g(x), into the equation g(x) - f(x). This will lead to the equation below.

{ - 12x}^{2}  - 15x + 7 - ({ - 7)x}^{2}  + 9x - 15

Now we can solve for the equation.

{ - 5x}^{2}  - 6x - 8 = 0 \\   {5x}^{2}  + 6x =  - 8

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Point Form:

( 9 , 4 )

Equation Form:

x = 9 ,  y= 4

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