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lesya [120]
3 years ago
13

I also need to know what m∠cdb is

Mathematics
1 answer:
Oliga [24]3 years ago
3 0

Answer:

x = 4

m<cdb = 82

Step-by-step explanation:

The exterior angle thm states that the exterior angle of a triangle is equal to the sum of the opposite interior angles:

7x + 2 + 17x = 98

24x + 2 = 98

24x = 96

x = 4

m<cdb =

y + 98 = 180

y = 180 - 98

y = 82

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Answer: Doubling the radius.

Step-by-step explanation:

The volume of a cone can be found with the following formula:

V=\frac{1}{3}\pi r^2h

Where "r" is the radius and "h" is the height of the cone.

Let's find the volume of the conical tent with a radius of 10.4 feet and a height of 8.4 feet.

Identifiying that:

r=10.4\ ft\\\\h=8.4\ ft

You get this volume:

V_1=\frac{1}{3}\pi (10.4\ ft)^2(8.4\ ft)\\\\V_1=951.43\ ft^3

If you double the radius, the volume of the conical tent will be:

V_2=\frac{1}{3}\pi (2*10.4\ ft)^2(8.4\ ft)\\\\V_2=3,805.70\ ft^3

When you divide both volumes, you get:

\frac{3,805.70\ ft^3}{951.43\ ft^3}=4

Therefore, doubling the radius will quadruple the volume of the tent.

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