Answer:
<h2><u><em>
5</em></u></h2>
Step-by-step explanation:
X * 3^2 +2 = 47
X * 9 + 2 = 47
9X = 47 - 2
9x = 45
x = 45 : 9
X = 5
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
×
×
×
×
×
× 
Make 'h' subject of formula

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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Answer:
x = 8
Step-by-step explanation:
29=7x + 5 -4x
add like terms: 29 = 3x +5
get your x variable on one side
24 = 3x
divide by 3
x = 8
check!
29 = 7(8) + 5 -4(8)
29 = 56 + 5 -32
29 = 51 - 32
29 = 29