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3 years ago

20 Points!! Plzz Help!!! Will give brainliest!!! Hurry Plzz Need Help ASAP!!!

Mathematics

1 answer:

Tatiana [17]3 years ago

8 0

Answer:

Step-by-step explanation:

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a pyramid whose altitude is 5ft weighs 800lbs. at what distance from its vertex must it be cut by a plane parallel to its base s

slavikrds [6]

A structure which has a square base and four triangular sides meeting at a point is called pyramid.

At distance of 3.97 feet from its vertex , pyramid is cut by plane so that the two solids of equal weight will be formed.

It is assumed that weight of pyramid is proportional to its volume.

So, $w = k V$ , where V is volume of original pyramid and v is volume of small pyramid and k is constant.

Let us consider that at h distance, pyramid is cut from its vertex. So a small pyramid is also formed.

Assume that base area of original pyramid is A and base of small pyramid is a.

Volume of original pyramid is, $V= \frac{1}{3} *A* 5$

So, weight of original pyramid, $W = k *(\frac{1}{3} *A* 5) = 800$

Volume of small pyramid is, $v = \frac{1}{3}* a* h$

So, weight of small pyramid, $w = k*(\frac{1}{3}* a* h)=400$

Since, base and height of small pyramid and original pyramid are in proportion.

So, $\frac{a}{A} = (\frac{h}{5}) ^{2}$

$a = (\frac{h}{5} )^{2}A$

Substituting value of a in equation $k*(\frac{1}{3}* a* h)=400$

So, $k*(\frac{1}{3}* \frac{h^{2} }{25}A * h)=400$

$(k*\frac{1}{3}* A*5)*\frac{1}{5} *\frac{h^{2} }{25} * h)=400$

Since, $(k *\frac{1}{3} *A* 5) = 800$ , substitute in above equation.

So, $800*\frac{h^{3} }{125}=400\\\\h^{3}=\frac{125}{2}\\\\h=\sqrt[\frac{1}{3} ]{62.5}\\\\h=3.97 feet$

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brainly.com/question/17950304

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2 years ago

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In this sum, each letter stands for one of the digits 0 to 9

lora16 [44]

Answer:

7 4 5 0

F O U R

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=7 9 3 1

F I V E

Hope this is correct:)

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Aristotle was born in 384 BC. Ron Howard was born in 1952 AD. HOW many years apart were they born?

rodikova [14]

The answer is 2336 cause bc was before Christ ad us after death so if we add them that's the answer

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3 years ago

True or False

kolezko [41]

True Hope this helps! ;D

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2 years ago

B-5=-2. Plz need answer asap b=what???plzzz 6

ruslelena [56]

Answer:

B=-2+5 collecting like terms

B=3 answer

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