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
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Answer:
Step-by-step explanation:
3. Use Cosine law to find the length of the unknown side (PR)
q² = p² + r² - 2prCos Q
q is the opposite side of ∠Q;
p is the opposite side of ∠P; p = 33
r is the opposite sides of ∠R ; r = 67
q² = 33² + 67² - 2* 33*67 Cos 19°
= 1089 + 4489 - 4422 * 0.95
= 1089 + 4489 - 4200.9
= 1377.1
q = √1377.1
q = 37.1
PR = 37.1
To find the angle use law of sin
Sin P = 0.3
P = 17.5°
∠R = 180 - (19 + 17.5)
= 143.5°
Answer:
210 yd³
Step-by-step explanation:
Volume of a triangular prism
= the area of a triangular base × the height
The area of the base
= (10×7)÷2
= 35 yd²
The volume of the prism
= 35 × 6
= <u>210 yd³</u>
<span>If an equation shows a relationship between x and y in which the value of y is dependent upon the value of x, y is known as the dependent variable and is sometimes referred to as 'function(x)' or f(x). The final solution of the equation, y, depends on the value of x, the independent variable which can be changed.</span>
