35 students would not know any of the three languages, because if 30 know French, 19 knew German, and 16 knew Russian, that must mean that 65 students know at least one of the three languages. So you subtract 65 from 100 and end up with 35

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The volume of this regular pentagonal pyramid is 82.5 cubic meters. What is the height of the pyramid?

a_sh-v [17]

the height of the pentagonal pyramid is 5. 70 meters

<h3>Volume of a regular pentagonal pyramid</h3>

The formula for determining the volume of a regular pentagonal pyramid is given as;

V=5/12tan(54°)ha^2

Where

a is the base edge
h is the height

We have the volume to be;

volume = 82. 5 cubic centers

height = h

a = 5m

Substitute the values

$82. 5 = \frac{5}{12}$ × $tan 54$ × $h$ × $5^2$

$82. 5 = 0. 42$ × $1. 3764$ × $25$ × $h$

Make 'h' subject of formula

$h = \frac{82. 5}{14. 45}$

h = 5. 70 meters

The height of the pentagonal pyramid is 5. 70 meters

Thus, the height of the pentagonal pyramid is 5. 70 meters

Learn more about a pentagonal pyramid here:

brainly.com/question/16315924

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