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3 years ago

Giving deserved thank yous, ratings, and brainliest. The topic is dot plots

Mathematics

1 answer:

DanielleElmas [232]3 years ago

5 0

Answer: 18

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

Learn more:

brainly.com/question/17950304

6 0

3 years ago

Read 2 more answers

Where do you put a decimal on 64

asambeis [7]

it depends what the question is

7 0

3 years ago

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(PLEASE HELP!) (IM GIVING GOOD POINTS!) Michaela buys 2 cartons of eggs at $1.58 a carton, 415 pounds of ground turkey at $6.99

katrin [286]

Answer:

Michaela gets 3.45$ back.

Step-by-step explanation:

1 carton of eggs = 1.58$

she buys 2, so 2 times 1.58= 3.16$

1 pound of turkey = 6.99$

she buys 4.15 pounds, so 4.15 times 6.99= 29.01$

she buys a jar of jam for 4.38$

4.38 + 3.16 + 29.01 = 36.55$

4 times 10= 40

40 - 36.55 = 3.45$

3 0

3 years ago

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What kind of angle is shown in the image below

GaryK [48]

ACUTE ANGLE.
this is because the angle is less than 90 degree and greater than 0 degree

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3 years ago

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Is (-3,-9) a solution of the equation y = 3x ? O YES O NO O NOT A SOLUTION

melomori [17]

Answer:

Yes, (-3, -9) is a solution.

Step-by-step explanation:

y = 3x (-3,-9)

-9 = 3(-3)

-9 = -9

4 0

3 years ago