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Artyom0805 [142]
3 years ago
12

Jimmy Neutron is building a skateboarding ramp that is 16 inches high. The angle formed by the ramp and the ground is 21 degrees

, what is the length of the ramp?
Mathematics
1 answer:
adell [148]3 years ago
5 0

Answer:

44.65 inches

Step-by-step explanation:

Height of ramp = 16 inches

Length of ramp, l

Angle formed by ramp and ground = 21°

Using Pythagoras :

Sinθ = opposite / hypotenus

Sin21° = 16 / l

0.3583679 = 16 / l

0.3583679 * l = 16

l = 16 / 0.3583679

l = 44.646855 inches

Hence, length of ramp is 44.65 inches

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5-x=12

To solve for x, you must first make the equation equal to x (to make x alone on one side).

5 - x = 12

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-x = 7

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Evaluate the expression 4y - 11 when y = 14
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Rewrite the fraction 29/50 with a denominator of 100
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Flying against the wind, a jet travels 2160 miles in 3 hours. Flying with the wind, same jet travels 6000 miles in 6 hours. What
marissa [1.9K]

Answer:

The velocity of jet in still air is  860miles/hour and velocity of wind is   140miles/hour.

Step-by-step explanation:

Let x be the rate of the jet in still air and y be the rate of the wind.

Given:

Velocity against wind, a jet travels 2160 miles in 3 hours.

Velocity against wind =\frac{2160}{3} = 720 miles/hour

Flying with the wind, same jet travels 6000 miles in 6 hours.

Flying with the wind =\frac{6000}{6} = 1000 miles/hour

As such its velocity against wind is  x-y

and with wind is   x+y therefore

x-y=720------------(1)

x+y=1000---------------(2)

Adding equation 1 and 2.

2x=1720

x=\frac{1720}{2}

x=860

Put x value in equation 2

860+y=1000

y=1000-860

y=140

Hence velocity of jet in still air is  860miles/hour and velocity of wind is   140miles/hour.

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The answer is eighty/ eighty-two

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