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Rom4ik [11]
3 years ago
13

A sculpture is in the shape of a square pyramid. The sculpture has a height of 36 feet and a volume of 19,200 cubic feet. Find t

he side length of the square base.
Mathematics
1 answer:
natta225 [31]3 years ago
4 0

Answer:

Correct answer:  a = 40 feet

Step-by-step explanation:

Given:

V = 19,200 feet³  volume of the sculpture

H = 36 feet  height of the sculpture

a = ?  side length of the square base

The formula for calculating the volume of a pyramid is:

V = B H / 3  ⇒ B = 3 V / H

B = 3 · 19,200 / 36 = 19,200 / 12 = 1,600

B = a²

a² = 1,600  ⇒  a = √1,600 = 40 feet

a = 40 feet

God is with you!!!

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Which of the following represents the additive inverse of 125? A. -(-125) B. 125 C. -125 D. 1/25
Elden [556K]

Additive inverse of 125 is – 125, option C is correct.

<u>Solution:</u>

Given that , a number is 125

We have to find the additive inverse for the above given number from the above given set of options.

Now, we know that, <em>sum of a number and its additive inverse equals to 0. </em>

So, let us check option by option.

<em><u>Option A:</u></em>

Given number is -(-125)

-(-125) ⇒ 125 + ( - ( - 125 ) )  

⇒ 125 + 125  

⇒ 250 ⇒ wrong option

<em><u>Option B:</u></em>

Given number is 125

⇒ 125 + 125 ⇒ 250 ⇒ wrong option

<em><u>Option C:</u></em>

Given number is -125

125 + ( - 125 ) ⇒ 125 – 125  ⇒ 0 ⇒ correct option

Hence, additive inverse of 125 is – 125, option C is correct

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3 years ago
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Answer:

309,000,000

Hope this helps!

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Solve the equation by factoring.<br> 3z2 + 3z – 6 = 0<br> z = 3 or z = 2
lana66690 [7]

Answer:

<u>3</u><u>z</u><u>^2 + 3z - 6 </u>=0

3

3 (z^2 + z -2) = 0

3(z+2)(z - 1) = 0

z + 2-2 = 0 - 2

z = -2

z - 1 + 1 = 0 + 1

z = 1

Step-by-step explanation:

  1. factor out the GCF (3) and divide everything by it, and then set it equal to zero.
  2. since you have a degree of 2, factor it into two binomials that start with the square root of the first term and end with the square root of the second term.
  3. 3=0 is extraneous solution so we leave it, then we set each binomial equal to zero to solve for z.

note: your solutions is based on the degree or the exponent of the polynomial or the function.

5 0
3 years ago
In the equation 8x+2 what is the variable and coefficient?
vichka [17]

Answer:

X=Variable

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Find the perimeter of the polygon with the given vertices. C(4, -1), D(4,−5), E(2,−3)
Aleksandr [31]

Answer:

8 units

Step-by-step explanation:

find the distance of the lines through coordinates given

distance formula: \sqrt{(x_{1}-x_{2})+(y_{1} -y_{2} )  }

i) CD=\sqrt{(4-4)^2 +(-1+5)^2}

  CD=\sqrt{0+4^2}

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ii) DE=\sqrt{(4-2)^{2}+(-5+3)^2 }

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iii) ED=\sqrt{(2-4)^2+(-3+1)^2}

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perimeter of polygon= 2 units+ 2 units+ 4 units

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