Need help on this I need all work shown as well, the subject is on similar triangles

Mathematics

1 answer:

GenaCL600 [577]2 years ago

3 0

Answer:

10 in

Step-by-step explanation:

If you draw a line parallel to the side of the cone through the center of the 10-inch (radius) circle, you create a right triangle with one leg 10 inches and a hypotenuse of 20+10 = 30 inches. It is similar to the right triangle shown on the diagram with leg 10 inches. That means the distance from the center of the 10-inch (radius) ball to the bottom of the cone is 30 inches.

Subtract from that the 10-inch radius and the 10-inch diameter of the two bottom balls shown, and you find the distance from the base of the smallest ball to the bottom of the cone is 30 -10 -10 = 10 inches.

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A circular piece of glass has a radius of 2.1 meters. The glass sells for $1.70 per square meter. What is the total cost of the

Vsevolod [243]

Hello!

To find the total cost, we will need to multiply the cost per square meter, by the total area. To find the area we will use the formula A=<span>πr</span>². We will use 3.14 for pi.

We know that 2.1 is our radius. We will square it and then multiply it by 3.14.

2.1²=4.41
4.41(3.14)≈13.85

Our area is about 13.85. Now we will multiply by $1.70 to find the total cost. This gives us about $23.55.

The total cost of the glass would be about $23.55.

I hope this helps!

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3 years ago

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Is 78.006 greater, less, or equal to 78.01

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3 years ago

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If a cone with a diameter of 10 m has a surface area of 190.6m2, find its slant height. Round to the nearest tenth.

alukav5142 [94]

Answer: The slant height of the cone is 65.6 m

Step-by-step explanation:

Given: The diameter of a cone = 10 m

Surface area of cone = 190.6 m²

To find: Slant height

Diameter of cone = 10 m

Therefore Radius of cone = $\dfrac{\text {Diameter }}{2} = \dfrac{10}{2} =5m$

As we know that surface area of a cone is given by

$S.A. = \pi r(l+r)$

Where S.A. is surface area , r is the radius of cone and l is the slant height of the cone.

Let Slant height = l

So we have

$190.6 = \dfrac{22}{7} \times 5 ( 5+l)\\\\\Rightarrow 5+l= \dfrac{190.6 \times 7}{22}\\\\\Rightarrow l= \dfrac{1334.2}{22}+5\approx 60.64+5 = 65.64\approx65.6$