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zvonat [6]
3 years ago
8

Triangle GHJ is a right triangle. Angle G has a measure of g°, and angle H has a measure of h°, and angle J is a right angle.

Mathematics
1 answer:
dimaraw [331]3 years ago
4 0

Answer:

Part A: equations B and D are true

Part B: expression B is equal to tan(g)

Step-by-step explanation:

In the given triangle, sin(g) = cos(h) and cos(g) = sin(h).

___

Part A

Based on the above, selection B is true.

Based on the above, the equation of D becomes: sin(h)+sin(g) = sin(g) +sin(h), which is true.

Selections B and D are true

___

Part B

Based on the above tan(g) can also be written ...

tan(g) = cos(h)/sin(h) . . . . . corresponds to selection B

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A cylinder and a cone have the same diameter:8 inches. The height of the cylinder is 3 inches.The height of the cone is 18 inche
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The volume of cone is double of the volume of cylinder.

Further explanation:

We have to find both volumes first to compare the volumes of both.

Volume of Cylinder:

Given

Diameter = d = 8 inches

Radius=r=\frac{d}{2}=\frac{8}{2}=4\ inches

Height of cylinder=h=3 inches

V_{Cyl}=\pi r^2h\\=3.14*(4)^2*3\\=3.14*16*3\\=150.72\ in^3

Volume of Cone:

Radius=r=4 inches

Height of cone= h= 18 inches

V_{con}=\frac{1}{3}\pi r^2h\\=\frac{1}{3}*3.14*(4)^2*18\\=\frac{1}{3}*3.14*16*18\\=301.44\ in^3

We can see that

2V_{cyl}=V_{Con}

The volume of cone is double of the volume of cylinder.

Keywords: Volume, Volume of cone

Learn more about volume at:

  • brainly.com/question/4390083
  • brainly.com/question/4401748

#learnwithBrainly

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