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irakobra [83]
3 years ago
9

A wheelchair ramp with a length of 109 inches has a horizontal distance of 91 inches. What is the ramp's vertical distance?

Mathematics
1 answer:
Viktor [21]3 years ago
7 0

Answer:

the ramp's vertical distance is <u>60</u>

Step-by-step explanation:

Think about what a ramp looks like from the side (right triangle). Use the Pythagorean Theorem.

H2 = a2 + b2

The wheelchair ramp (hypotenuse) is given to be 109, if one of the sides is 91, simply plug in the numbers and solve for the other side.

(109)^{2} = (91)^{2} + b^2

11881 = 8281 + b^2

3600 = b^2

\sqrt{3600} = b

60 = b

Hope this helps!

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4 times 18 is 72 use a calculator and divide 72 by each number and you’ll find numbers
7 0
3 years ago
If UW = 9x – 9, what is UW in units?
Tju [1.3M]
I will answer this question to the best of my ability, because you have not provided a value of x to plug in.


UW is always equal to 9x-9 or 9(x-1) whenever x is a real number.  By plugging in x, we can get the value.  For example, if x was 4, we plug in x, giving us 9*4-9=36-9=27 units or 9(4-1)=9(3)=27 units
Don't forget to include units when you complete your answer!

Hope this helps!  I did as much as I could!
5 0
3 years ago
6.81 is what percent of 45.5
frosja888 [35]

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 45.5 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 45.5 is 100%, so we can write it down as 45.5=100%.

4. We know, that x is 6.81% of the output value, so we can write it down as x=6.81%.

5. Now we have two simple equations:

1) 45.5=100%

2) x=6.81%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

45.5/x=100%/6.81%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.


7. Solution for what is 6.81% of 45.5


45.5/x=100/6.81

(45.5/x)*x=(100/6.81)*x       - we multiply both sides of the equation by x

45.5=14.684287812041*x       - we divide both sides of the equation by (14.684287812041) to get x

45.5/14.684287812041=x

3.09855=x

x=3.09855

now we have:

6.81% of 45.5=3.09855

Hope this helps!

4 0
3 years ago
Read 2 more answers
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Alex

Simplify

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Collect like terms

(9x^3 + x^3) + (-4x + 10x) + (10 - 9)

Simplify

<u>10x^2 + 6x + 1</u>

6 0
3 years ago
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Answer:

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Step-by-step explanation:

If you graph out the coordinates it goes in a perfect line, thus being linear.

6 0
2 years ago
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