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3 years ago

Please answer quickly

Mathematics

1 answer:

baherus [9]3 years ago

6 0

No because 2.95 times 2 is not 4.50

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A cone and a triangular pyramid have a height of 9.3 m

Otrada [13]

Answer:

$x=17.1\ in$

Step-by-step explanation:

<u><em>The complete question is</em></u>

A cone and a triangular pyramid have a height of 9.3 m and their cross-sectional areas are equal at every level parallel to their respective bases. The radius of the base of the cone is 3 in and the other leg (not x) of the triangle base of the triangular pyramid is 3.3 in

What is the height, x, of the triangle base of the pyramid? Round to the nearest tenth

The picture of the question in the attached figure

we know that

If their cross-sectional areas are equal at every level parallel to their respective bases and the height is the same, then their volumes are equal

Equate the volume of the cone and the volume of the triangular pyramid

$\frac{1}{3}\pi r^{2}H=\frac{1}{3}[\frac{1}{2}(b)(h)H]$

simplify

$\pi r^{2}=\frac{1}{2}(b)(h)$

we have

$r=3\ in\\b=3.3\ in\\h=x\ in\\pi=3.14$

substitute the given values

$(3.14)(3)^{2}=\frac{1}{2}(3.3)(x)$

solve for x

$28.26=\frac{1}{2}(3.3)(x)$

$x=28.26(2)/3.3\\x=17.1\ in$

7 0

2 years ago

Read 2 more answers

Robin can clean 72 rooms in 6 days how many can he clean in 9 days

Monica [59]

Let's put it this way.
It's a ratio of 6:72 and we need to change it in a way to find number of rooms cleaned in 9 days.

Divide 6 & 72 both by 2
Ratio is now 3:36

Multiply 3 & 36 both by 3
Ratio is now 9:108

The number of rooms in which Robin can clean in 9 days is 108 rooms.

3 0

2 years ago

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Which number is greater . 84 or 9.3

tatuchka [14]

I think the answer is 9.3, but I’m not sure

3 0

2 years ago

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What does 3 exponent -2 equal

inysia [295]

I am pretty sure your answer is going to be 243
I hope this helps, and good luck!!