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brilliants [131]
3 years ago
15

By law, a wheelchair service ramp may be inclined no more than . If the base of a ramp begins 15 feet from the base of a public

building, which equation could be used to determine the maximum height, h, of the ramp where it reaches the building's entrance
Mathematics
1 answer:
choli [55]3 years ago
4 0

Answer:

The equation that can be used to determine the maximum height is given as h = 15tan4.76°

Step-by-step explanation:

The question given is lacking an information. Here is the correct question.

"By law, a wheelchair service ramp may be inclined no more than 4.76 degrees. If the base of the ramp begins 15 feet from the base of a public building, which equation could be used to determine the maximum height, h, of the ramp where it reaches the building's entrance"

The whole set up will give us a right angled triangle with the base of the building serving as the adjacent side of the triangle and the height h serving as the opposite side since it is facing the angle 4.76°

The side of the wheelchair service ramp is the hypotenuse.

Given theta = 4.76°

And the base of the building = adjacent = 15feet

We can get the height of the building using the trigonometry identity SOH CAH TOA.

Using TOA

Tan(theta) = opposite/Adjacent

Tan 4.76° = h/15

h = 15tan4.76°

The equation that can be used to determine the maximum height is given as h = 15tan4.76°

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Using the Pythagorean theorem we can find the height of the triangle:


height = √(14^2 - 12^2)

height = √(196 - 144)

height = √52

height = 7.2


The answer would be 7.2 centimeters.


7 0
3 years ago
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Find an equation of a line with the x- and y-intercepts below. Use exact fractions when necessary.
Ludmilka [50]

Answer:

The line with the x- and y-intercepts below has the following equation:

f(x) = \frac{5x}{7} - 5

Step-by-step explanation:

The equation of the line has the following format:

f(x) = ax + b

We are given two points, we are going to substitute them into the above equation, and find the equation of the line given the conditions.

Solution

Starting from the y-intercept makes the solution easier, since the term a is multiplied by 0

y-intercept -5

This means that when x = 0, y = f(x) = -5, so:

f(x) = ax + b

-5 = a(0) + b

b = -5

For now, the line has the following equation:

f(x) = ax - 5

x-intercept 7

This means that when y = f(x) = 0,x = 7, so:

f(x) = ax - 5

0 = 7(a) - 5

7a = 5

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So, the line with the x- and y-intercepts below has the following equation:

f(x) = \frac{5x}{7} - 5

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=f%28x%29%3D%7C3x-5%7C%2B7x%5C%5Cg%28x%29%3D-2x%2B9%5C%5Cwhat%20is%20%5C%5C%20%28f%2Bg%29%28x%2
Sergio [31]

Given:

The functions are:

f(x)=|3x-5|+7x

g(x)=-2x+9

To find:

The function (f+g)(x).

Solution:

We have,

f(x)=|3x-5|+7x

g(x)=-2x+9

We know that,

(f+g)(x)=f(x)+g(x)

On substituting the values of given functions, we get

(f+g)(x)=|3x-5|+7x+(-2x+9)

(f+g)(x)=|3x-5|+7x-2x+9

(f+g)(x)=|3x-5|+5x+9

Therefore, the required function is (f+g)(x)=|3x-5|+5x+9.

7 0
3 years ago
Identify the cross section of the cube shown in the diagram
Maslowich

Answer:

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3 0
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Lostsunrise [7]

Answer:

Answer

see explanation

Step-by-step explanation:

Using the rule of exponents

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=

His mistake was in subtracting 3 rather than - 3

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