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lyudmila [28]
3 years ago
12

A ladder leans against a building forming an angle of 50° with the ground. The base of the ladder is 8 feet from the building. W

hat is the length of the ladder?
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0

Answer:

The correct answer is 12.446 feet.

Step-by-step explanation:

A ladder leans against a building forming an angle of 50° with the ground.

The base of the given ladder is 8 feet away from the building.

Let the length of the ladder that is to be found be x feet.

Thus we find the cosine of the angle of inclination.

∴ cos 50° = \frac{8}{x}

⇒ x = 12.446 feet

Therefore the length of the ladder is 12.446 feet.

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You will need the formula of a rectangular prism and fill the missing info!
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4 years ago
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Keith is using photo software to enlarge a photograph that is 4 inches by 6 inches to 9 inches by 13.5 inches. What is the scale
anzhelika [568]

Answer:

2.25

Step-by-step explanation:

The old width of 4 inches became a new width of 9 inches.

Old: 4 in.

New 9 in.

The old length of 6 inches became a new length of 13.5 inches.

Divide the new size by the corresponding old size.

9/4 = 2.25

13.5/6 = 2.25

You see in both cases, the scale factor is 2.25

The scale factor is 2.25

5 0
3 years ago
What are the next 3 numbers in this pattern of integers -2, -1, -1, 0, -1, 1, -2
sashaice [31]

Answer:

The next 3 numbers to the given pattern of integers is -2,-1,-1,0,-1,1,-2 are 3,-5,8

Step-by-step explanation:

Given pattern of integers is -2,-1,-1,0,-1,1,-2

To find their next 3 numbers of the given pattern :

Let a_{1}=-2

a_{2}=-1

a_{3}=a_{1}-a_{2}

=-2-(-1)

=-2+1

Therefore a_{3}=-1

a_{4}=a_{2}-a_{3}

=-1-(-1)

=-1+1

Therefore a_{4}=0

Similarly we have a_{5}=-1 ,a_{6}=1 ,a_{7}=-2

The general form to the given pattern is

a_{n}=a_{n-2}+a_{n-1}  for n={\{1,2,3,4,5,6,7,8,9,10}\}

Therefore to find the a_{8},a_{9},a_{10}

Put n=8 in a_{n}=a_{n-2}-a_{n-1}

a_{8}=a_{8-2}-a_{8-1}

=a_{6}-a_{7}

=1-(-2)

a_{8}=3

Put n=9 in a_{n}=a_{n-2}-a_{n-1}

a_{9}=a_{9-2}-a_{9-1}

=a_{7}-a_{8}

=-2-(3)

a_{9}=-5

Put n=10 in a_{n}=a_{n-2}-a_{n-1}

a_{10}=a_{10-2}-a_{10-1}

=a_{8}-a_{9}

=3-(-5)

a_{10}=8

Therefore the next 3 numbers are 3,-5,8

4 0
3 years ago
Sales tax in your community is 5. 25 cents for each dollar spent. What is the total cost at the movies for three tickets at
Montano1993 [528]

Answer:

33.94

Explanation:

First start off by finding the total regardless of the 5.25 cents.

(3x8.50)+(3x1.25)+(2x1.50)=32.25

Then take that answer and multiply by your 5.25 cents per dollar

32.25x.0525 (since we're dealing with money)

then add that answer to the original 32.25

8 0
2 years ago
Which expression is equivalent to RootIndex 4 StartRoot x Superscript 10 Baseline EndRoot?
Darya [45]

Answer:

Which expression is equal to ? The correct answer is B.

Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/1312867-which-expression-is-equivalent-to-rootindex-3-startroot-64-a.html

8 0
3 years ago
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