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3 years ago

One end of a ramp is raised to the back of a truck 5 feet above the ground. 1 point

Mathematics

1 answer:

sveta [45]3 years ago

6 0

Answer:

38.7°

Step-by-step explanation:

You are basically looking at a triangle with a 90° angle (check picture).

Since we are looking for the ramp's angle and are given the length of the opposite and the hypothenuse, we have to solve the following equation:

$sin (\alpha) = opposite / hypothenuse= 5 ft/8ft$

which is equivalent to

$\alpha = sin^{-1}(5/8)\approx 38.7\deg$

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How does the size of an image compare to the original figure when the original figure undergoes a

Sati [7]

Answer:

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3 years ago

The change in altitude of a bird after 2 __ 1 2 seconds was –41 __ 1 4 feet. What was the average change in altitude of the bird

svlad2 [7]

Answer:

$Average\ Change = -1\frac{7}{10} ft/s$

Step-by-step explanation:

Given

$Altitude\ Change = -4\frac{1}{4} \ ft$

$Time = 2\frac{1}{2}\ s$

Required

Determine the average change

This is calculated as follows:

$Average\ Change = \frac{Altitude\ Change}{Time}$

This gives:

$Average\ Change = \frac{-4\frac{1}{4}}{2\frac{1}{2}}$

$Average\ Change = -4\frac{1}{4}/2\frac{1}{2}$

Convert to improper fractions

$Average\ Change = -\frac{17}{4}/\frac{5}{2}$

Convert to multiplication

$Average\ Change = -\frac{17}{4}*\frac{2}{5}$

$Average\ Change = -\frac{17}{2}*\frac{1}{5}$

$Average\ Change = -\frac{17}{10}$

$Average\ Change = -1\frac{7}{10} ft/s$

8 0

3 years ago

Thank you guys so much

jeka57 [31]

Answer:

B. City P is above sea level and City R is below sea level

Step-by-step explanation:

A. City R is negative meaning it is below sea level however City Q is 0 meaning it is at sea level, so this statement is false.

C. Once again, City P is positive meaning it is above sea level but City Q is 0 meaning it is at sea level, so this statement is false.

D. Like before, City P is above sea level and City Q is at sea level not below, so this is, once again, false.

6 0

3 years ago

Answer for 6x-31=11x+64

PIT_PIT [208]

6x - 31 = 11x + 64
6x cancels out and you take 6x away from 11x
-31 = 5x + 64
64 cancels out and you take 64 away from -31
-95 = 5x
Divide both sides by 5
-19 = x

6 0

3 years ago

A ramp was constructed to load a truck. If the ramp is 10 feet long and the horizontal distance from the bottom of the ramp to t

NeX [460]

Pythagoras theorem is a basic relationship in geometry between the three sides of a right triangle. The height from the ground to the top of the ramp 6. 0 ft. Option D is correct.

<h3>What is the Pythagoras theorem?</h3>

Pythagoras theorem is a basic relationship in geometry between the three sides of a right triangle.

It indicates that the area of the hypotenuse square is equal to the sum of the areas of the squares on the other two sides.

The given data in the problem will be;

L is the length of ramp= 10 feet

x is the horizontal distance from the bottom of the ramp = 8 feet

h is the height from the ground to the top of the ramp=?

According to Pythagoras theorem,

$\rm H^2=P^2+B^2 \\\\ \rm l^2=h^2+X^2 \\\\ \rm 10^2=h^2+8^2 \\\\ \rm h=\sqrt{100-64 } \\\\ \rm h=36 \\\\ \rm h=6 ft$

Hence the height from the ground to the top of the ramp 6. 0 ft. Option D is correct.

To learn more about the Pythagoras theorem refer to the link;

brainly.com/question/343682

8 0

2 years ago