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loris [4]
3 years ago
7

A pyramid has a square base with sides 100 feet long. The original height was 75 feet.

Mathematics
2 answers:
viva [34]3 years ago
8 0

Step-by-step explanation:

<u>Step 1:  Find the volume of the original pyramid</u>

<u />V = a^2*\frac{h}{3}

V=(100)^2*\frac{75}{3}

V=10000*25

V=250000

<u>Step 2:  Find the volume of the cut off</u>

<u />V=(20)^2*\frac{15}{3}

V = 400*5

V=2000

<u>Step 3:  Find the percent that still remains</u>

<u />250000-2000

248000

248000 / 250000

0.992*100

99.2

Answer:  99.2%

____ [38]3 years ago
4 0

Answer:

99.2%

Step-by-step explanation:

Ratio of volumes = (Ratio of sides)³

Ratio of volumes = (15/75)³

Ratio of volumes = 1/125

1/125 × 100 = 0.8% was cut off

100 - 0.8 = 99.2% remains

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Step-by-step explanation:

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What is the solution ? Please help with this !!
FromTheMoon [43]

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Step-by-step explanation:

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2 years ago
What are the solutions to the equation
frosja888 [35]

Answer:

C.

x_1=\frac{1}{4}+(\frac{\sqrt{7}}{4})i and x_2=\frac{1}{4}-(\frac{\sqrt{7} }{4})i

Step-by-step explanation:

You have the quadratic function 2x^2-x+1=0 to find the solutions for this equation we are going to use Bhaskara's Formula.

For the quadratic functions ax^2+bx+c=0 with a\neq 0 the Bhaskara's Formula is:

x_1=\frac{-b+\sqrt{b^2-4.a.c} }{2.a}

x_2=\frac{-b-\sqrt{b^2-4.a.c} }{2.a}

It usually has two solutions.

Then we have  2x^2-x+1=0  where a=2, b=-1 and c=1. Applying the formula:

x_1=\frac{-b+\sqrt{b^2-4.a.c} }{2.a}\\\\x_1=\frac{-(-1)+\sqrt{(-1)^2-4.2.1} }{2.2}\\\\x_1=\frac{1+\sqrt{1-8} }{4}\\\\x_1=\frac{1+\sqrt{-7} }{4}\\\\x_1=\frac{1+\sqrt{(-1).7} }{4}\\x_1=\frac{1+\sqrt{-1}.\sqrt{7}}{4}

Observation: \sqrt{-1}=i

x_1=\frac{1+\sqrt{-1}.\sqrt{7}}{4}\\\\x_1=\frac{1+i.\sqrt{7}}{4}\\\\x_1=\frac{1}{4}+(\frac{\sqrt{7}}{4})i

And,

x_2=\frac{-b-\sqrt{b^2-4.a.c} }{2.a}\\\\x_2=\frac{-(-1)-\sqrt{(-1)^2-4.2.1} }{2.2}\\\\x_2=\frac{1-i.\sqrt{7} }{4}\\\\x_2=\frac{1}{4}-(\frac{\sqrt{7}}{4})i

Then the correct answer is option C.

x_1=\frac{1}{4}+(\frac{\sqrt{7}}{4})i and x_2=\frac{1}{4}-(\frac{\sqrt{7} }{4})i

3 0
3 years ago
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