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S_A_V [24]
3 years ago
13

Finding angles June 23,2022

Mathematics
1 answer:
nikitadnepr [17]3 years ago
8 0

Answer:

61 degrees

Step-by-step explanation:

Considering angle <GJI and <IKD, these two angles are corresponding angles. Recall that corresponding angles are equal hence,

m<GJI = m<IKD = 119 degrees

Again

m<GJI and m<AJG are on a straight line at a point. Recall that the sum of angles on a straight line is 180 degrees. Hence

m<GJI + m<AJG = 180

119 + m<AJG = 180

m<AJG = 180 - 119

= 61 degrees

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Answer:

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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]

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<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

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  • h is the height

We have the volume to be;

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Substitute the values

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Make 'h' subject of formula

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

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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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