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Juli2301 [7.4K]
3 years ago
13

A ladder leans against a side of a building, making a 63-degree angle with the ground, and reaching over a fence that is 6 feet

from the building. The ladder barely touches the top of the fence, which is 8 feet tall. Find the length of the ladder.
Mathematics
1 answer:
zhenek [66]3 years ago
5 0

Answer:

The answer to your question is 10 ft

Step-by-step explanation:

Data

Adjacent side = b = 6 ft

Opposite side = a = 8 ft

Hypotenuse = c = ?

angle = 63°

Process

1.- Use the Pythagorean theorem to find the length of the ladder.

                 c² = a² + b²

- Substitution

                 c² = 8² + 6²

-Simplification

                 c² = 64 + 32

                 c² = 100

                 c = \sqrt{100}

- Result

                c = 10 ft

2.- Conclusion

The ladder has a length of 10 ft

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Michelle opened her bank account on September 1st with $25 and continues to deposit $25 each month. Calculate the time Michelle will have a total of $500 in her account.

Answer:

19 months

Step-by-step explanation:

Initial deposit =$25

Monthly deposit = $25

Total deposit, y after x months can be modeled using the relation :

y = $25 + $25x

To have a total of $500 ; y = 500

$500 = $25 + 25x

$500 - $25 = $25x

$475 = $25x

x = $475 / $25

x = 19 months

Hence, Michelle will have deposited a total of $500 in his account after 19 months

6 0
3 years ago
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iVinArrow [24]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
What should be subtracted from 13/(-56) to get 11/28​
zloy xaker [14]

Answer:

-5/8

Step-by-step explanation:

13/ -56   -x = 11/28

Add 13/56 to each side

13/ -56   + 13/56  -x = 11/28+ 13/56

-x = 11/28 + 13/56

Get a common denominator

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8 0
3 years ago
AB lies on a number line. The coordinate of point A is -6. Given that AB= 20, what are the two possible coordinates for point B?
sukhopar [10]
The fact that you must remember is that these points lie on a plane that have a a distance that is ALWAYS an absolute value.  If point A lies on -6 you can have two points that are of a distance 20 points in either direction.  If moving the left, point B can have a value of -26 and moving to the right, point B will have a value of 14.  Hope this is clear!

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Answer:

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4 0
2 years ago
Read 2 more answers
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