Setting up a right triangle, the 100 would be the hypotenuse, the 45 would be the angle of elevation, and you're looking for the opposite side.
Sin 45 = x/100
100sin45 = x
100 * ✓(2)/2 = x
50 ✓2 =x
x = 50✓2 ft

4 0

3 years ago

A cylinder has a base diameter of 8 centimeters and a height of 7 centimeters. What is

yawa3891 [41]

Answer:

351.9 cm^3

Step-by-step explanation:

d = diameter = 8 cm

r = radius = diameter/2 = 4 cm

h = height = 7 cm

volume = (pi)r^2h

volume = (3.14159)(4 cm)^2(7 cm)

volume = 3.14159(16 cm^2)(7 cm)

volume = 351.858 cm^3

Answer: 351.9 cm^3

8 0

3 years ago

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The volume of a cone with a radius of 7 cm is 147 cubic centimeters. Which expression can be used to find h, the height ofthe co

spayn [35]

The choices are not attached but we can solve the problem from the given information

Answer:

The expression can be used to find h is $h=\frac{3V}{\pi r^{2}}$

The height of the cone is $\frac{9}{\pi }$ cm

Step-by-step explanation:

The formula of the volume of the cone is V = $\frac{1}{3}$ π r² h, where

r is the radius of its base
h is the height of it

Let us find the height of the cone from the formula of its volume

∵ V = $\frac{1}{3}$ π r² h

- Multiply both sides by 3

∴ 3 V = π r² h

- Divide both sides by π r²

∴ $\frac{3V}{\pi r^{2}}=h$

- Switch the two sides

∴ $h=\frac{3V}{\pi r^{2}}$

The expression can be used to find h is $h=\frac{3V}{\pi r^{2}}$

∵ The radius of the cone is 7 cm

∴ r = 7

∵ The volume of the cone is 147 cm³

∴ V = 147

- Substitute them in the expression of the height to find it

∵ $h=\frac{3(147)}{\pi (7)^{2}}$

∴ h = $\frac{9}{\pi }$ cm

The height of the cone is $\frac{9}{\pi }$ cm

4 0

3 years ago

A bag contains 15 green, 18 yellow, and 16 orange balls. One ball is randomly selected. To the nearest percent, what is the prob

evablogger [386]

Since the bag contains 15 green, 18 yellow, and 16 orange balls, the total number of balls in the bag are 15+18+16=49.

Therefore, the probability of the event that the drawn ball is yellow is given by:

P(yellow)= $\frac{Number of Yellow Balls}{Total Number of Balls}$

$\therefore P(Yellow)=\frac{18}{49}\times 100\approx36.73\approx37$ %

Thus, the the probability of the event, to the nearest percent, that the drawn ball is yellow is 37%.

5 0

3 years ago

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