MATHEMATICS HIGH SCHOOL

A storage tank is being designed for iodine. The storage tank is to be spherical and will withstand a maximum hydrostatic pressure of 1 comma 375 millimeters of mercury​ [mm Hg]. What is the diameter of the tank in meters​ [m]? The density of iodine is 5 comma 010 kilograms per cubic meter left bracket kg divided by m cubed right bracket.

Answers

Answer 1
Answer:

Answer:

  3.73 m

Step-by-step explanation:

1375 mm Hg corresponds to a pressure of 18693.264 kgf/m^2.

Dividing that by the density will give the depth allowed, which is the diameter of the sphere:

  (18693.264 kgf/m^2)/(5010 kgf/m^3) ≈ 3.73 m

The sphere can be up to 3.73 m in diameter.

_____

1 kgf is the force produced by a 1 kg mass in Earth's gravity field, about 9.8 N.

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What percent of 80 is 56 ( how do i show my work for this)

Answers

Simple......................... :D

It's asking...

What percent of 80 is 56? ----------->>>

----->>>

x*80=56

80x=56

x=(56)/(80)

=0.7

Change into a percent...(Move decimal to the right 2 places...)

=70%

Thus, your answer.
Hi there! P%=Y/X. P%=56/80. P=0.7. P%=0.7*100=70%. Therefore. 70% of 80 is 56.

Find the lateral area of a regular pentagonal pyramid that has a slant height of 14 in. and a base side length of 6 in. A) 210 in^2 B) 240 in^2 C) 42 in^2 D) 420 in^2

Answers

The question ask to choose among the following choices that contains the value of the lateral area of a regular pentagonal pyramid that has a slant height of 14 in and a base side length of 6 in. Base on my calculation, the answer would be A. 210 inch^2. I hope this would help 

The lateral area of a regular pentagonal pyramid has a slant height of 14 in is 210 inch^2.

We have given that ,

The lateral area of a regular pentagonal pyramid that has a slant height of 14 in. and a base side length of 6 in.

What is the pentagonal pyramid?

A pentagonal pyramid is a pyramid with a pentagonal base upon which are erected five triangular faces that meet at a point. Like any pyramid, it is self-dual. The regular pentagonal pyramid has a base that is a regular pentagon and lateral faces that are equilateral triangles.

The question ask to choose among the following choices that contain the value of the lateral area of a regular pentagonal pyramid that has a slant height of 14 in and a base side length of 6 in.

Base on my calculation, the answer would be A.

210 inch^2.

To learn more about the pyramid visit:

brainly.com/question/218706

#SPJ5

When you use place value to exchange equal amounts when renaming number, what are you doing?

Answers

The correct answer for the given question above would be REGROUPING. When you use place value to exchange equal amounts when renaming number, you are regrouping. Hope this answer helps. Thank you for posting your question. Let me know when you need more help.

The volume of a prism changes from 20 to 540 after a dilation. what was the scale factor of the dilation?

Answers

Scale factor is used by architects or engineers to transfer their prototype idea to large-scale use. If the volume of a prism is 20, you need to multiply its dimensions with a scale factor to find the new volume which is 540. For example, if the volume is doubled, this means you used a scale factor of 2. Hence, you just have to divide the new volume by the smaller volume.

Scale factor = 540/20
Scale factor = 27

Answer:

The scale factor is 3 : 1.

Step-by-step explanation:

We know that,

The scale factor of the dilation of a prism is the cube root of the ratio of the volume of resultant prism after dilation and the volume of the given prism,

Here, the volume of prism before dilation = 20 cube unit,

And, the volume of the prism after dilation = 540 cube unit,

Thus, by the above statement,

\text{The scale factor of dilation}=\sqrt[3]{(540)/(20)}

=\sqrt[3]{27}

=3

Hence, the scale factor is 3 : 1.

1/2 x n = 1/3 what does n =

Answers

you do 1/3 / 1/2
You do Keep, Change, Flip
so...
1/3 /1/2= 1/2*3/1= 3/2 and that is 1 1/2
n=1 1/2

Solve by factoring by grouping 5k^2-2k-7=9

Answers

5k^2-2k-7=9 \n \n 5k^2 - 2k - 7 - 9 = 0 \n \n 5k^2 - 2k - 16 = 0 \n \n 5k^2 + 8k - 10k - 16 = 0 \n \n k(5k + 8) - 2(5k + 8) = 0 \n \n (5k + 8)(k - 2) = 0 \n \n k = - (8)/(5) , 2 \n \n

The final result is: k = -8/5, 2.
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