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Ira Lisetskai [31]
3 years ago
5

Jake plans to use a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is 83 centimeters

tall and the ramp is 158 centimeters long.
What is the horizontal distance from the end of the ramp to the back of the truck?
Round your answer to the nearest tenth of a centimeter.
Mathematics
1 answer:
storchak [24]3 years ago
8 0

Answer:

134.4 centimeters

Step-by-step explanation:

This question is asking us for a missing leg on the triangle, lets call it x. Using the Pythagorean theorem (a²+b²=c²), we can figure out what value is missing (either a or b, they are interchangeable).

replace the values in the equation.

83²+x²=158²

get rid of the exponents.

6,889+ x² = 24,964.

subtract 6,889 from 24,964.

x²=18,075.

find the square root on both sides of the equation.

x=134.4432966.

I am assuming you want this rounded to the nearest tenth.

134.4 is your answer.

Read more on Brainly.com - brainly.com/question/14113423#readmore

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Answer:

y - 7 = -4/3(x + 1)

Step-by-step explanation:

<u>Given</u>

  • y =3/4x -4
  • (-1, 7)

<u>Convert to point slope form</u>

y - y1 = m(x - x1)

m: represents what the slope is

y - 7 = -4/3(x + 1)

<u>Distribute -4/3</u>

-4/3 * x = -4/3x

-4/3 * 1 = -4/3

y - 7 = -4/3x - 4/3

<u>Add seven in both sides</u>

21/3 -4/3 = 17/3

y = -4/3x + 17/2

<u>Answer</u>

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point-slope form: y - 7 = -4/3(x + 1)

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If we designate the points at the bases of the skyscrapers as A and B, and the top of skyscraper B as point T, then triangle ABT is a right triangle with angle B = 90° and angle A = 13.7°.

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