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den301095 [7]
2 years ago
6

A 35-foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 21 feet from th

e base of the building. How far above the ground is the point where the ladder touches the building?
Mathematics
1 answer:
Ostrovityanka [42]2 years ago
6 0

Answer:

height = 28 feet

Step-by-step explanation:

using the Pythagorean theorem:

height = 35² - 21²

height² = 1225 - 441 = 784

height = 28 feet

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Plug in the values you are given to find b:

2 = -3 + b

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6 0
2 years ago
If f(x) is the total cost, in dollars, of x cupcakes, which of the following statements best describes the meaning of f(5) = 12?
dezoksy [38]

Answer:

  • See below

Step-by-step explanation:

<u>This a form of the proportional relationship:</u>

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<u>We have:</u>

  • f(5) = 12

<u>It means:</u>

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2 years ago
Mark takes a bank loan of $3,600 to start up a business at an annual interest rate of 8%. How much will he have to repay in 16 m
Dimas [21]

Answer:

  A.  $3,984

Step-by-step explanation:

The amount of interest is computed from ...

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Then the total amount that needs to be repaid is ...

  Principal + Interest = $3600 +384 = $3,984

_____

The time period is 16 months, so is 16/12 years.

The time periods of the interest rate and "t" in the formula must match. If the interest rate is an annual rate, then "t" is in years. If the interest rate is a monthly rate, then "t" is the number of months.

8 0
2 years ago
Find x [Angles and Segment]
Alex_Xolod [135]

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6 0
3 years ago
How many sides does a dodecahedron have?
777dan777 [17]

Answer:

twelve faces

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