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Verdich [7]
3 years ago
14

A tipping platform is a ramp used to unload trucks. How high is the end of an 100 foot ramp when it is tipped by a 30 degree ang

le? Round answer to the nearest foot.
Mathematics
1 answer:
Naily [24]3 years ago
6 0
According to the information given, the ramp would be 50 feet high. (However, that seems really high. Did you type your problem correctly?)

If you draw a picture, you will see that you can set up a cosine ratio to solve this problem. With a 30 degree angle of depression, the angle we are going to use 60 degrees.

We can set up the following equation:

cos(60) = x / 100
0.5 = x / 100
50 = x
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aalyn [17]

(ab + 174)/3 <115

multiply by 3 on each side

ab + 174 < 345

subtract 174 from each side

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248+ ab >366

subtract 248 from each side

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6 0
3 years ago
5y + 3 = 8y − 5 + 2y
DIA [1.3K]

Answer:

\fbox{y = 8/5 }

Explanation:

[to solve for y, first use the properties of equality to simplify the equation]

5y + 3 = 8y − 5 + 2y

5y + 3 = (8y + 2y) – 5

[regroup the like terms of y together: commutative property of equality ; adding in a different order will still give you the same result]

5y + 3 = 10y – 5

[combine like terms]

5y + 3 = 10y – 5

\: \: \: \: \: \: -3 \: \: \: \: \: \: \: \: \: \: \: -3

[subtract 3 from both sides in order to eliminate the constant term on the left side: subtraction property of equality]

5y = 10y – 8

–10y –10y

[subtract 10 from both sides in order to eliminate the variable term: subtraction property of equality]

-5y = -8

÷(-5) ÷(-5)

[divide both sides by -5 to cancel out the coefficient of y: division property of equality]

y = 8/5

7 0
3 years ago
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