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bearhunter [10]
3 years ago
7

A 24 ft ladder is positioned next to a house for window cleaning. The manufacturer recommends the ladder rest at an angle of 76°

with respect to the ground for safe operation. How far away from the house should the ladder be positioned to ensure the recommended angle of 76°? Round your answer to the nearest foot.
A 76 degree angle of elevation is drawn. The line from the horizontal axis to the vertical axis measures 24 units.

Enter your answer in the box.
Mathematics
1 answer:
Butoxors [25]3 years ago
8 0

Answer:

6 feet

Step-by-step explanation:

cos = adj/hyp

cos76 = adj/24

multiply both sides by 24

24 * cos76 = adj

5.806125494392025 = adj

Rounded

6 feet

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Pleaseeeee helppppppppp mee??
34kurt
Domain- [-6, infinite)
Range: [0, Infinite)

This is because you get the x from the square root (-6) and the y from the invisible 0. Because it doesn’t have a negative x, it goes up.
8 0
3 years ago
An airplane traveling from chicago to LA can fly at a rate of 6 miles per minute,how many hours does it take to travel 1,200 mil
Allisa [31]

Answer:

about 3 hours and 33 mins

Step-by-step explanation:

8 0
2 years ago
Barb solved the following equation: 4(3x – 12) = 5(2x + 6)
katrin2010 [14]

Answer:

4(3 * 39 – 12) = 5(2 * 39 + 6)

x = 39


Step-by-step explanation:

4(3x – 12) = 5(2x + 6)

(12x - 48) = (10x + 30)

12x - 10x = 30 + 48

2x = 78

2x/2 = x

78/2 = 39

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No Prob :)

5 0
3 years ago
Read 2 more answers
1. If a side started out with a side length of 11 and ended with a side length of 71 what is the dilation's scale factor? Write
jeka57 [31]

Regarding dilation, it is found that:

1. The scale factor is of 6.45

2. The scale factor is of 1.4375.

3. the image will be smaller than the pre-image.

<h3>Dilation</h3>

A dilation is one type of transformation that is applied to images, in which the side lengths are multiplied by a constant called scale factor, changing the side lengths of the image.

In item a, the initial length was of 11 and the final length is of 71, hence the multiplier, which is the scale factor, is given as follows:

71/11 = 6.45.

In item b, the initial length was of 16 and the final length was of 23, hence the scale factor is given as follows:

23/16 = 1.4375.

For item 3, the multiplier is a number that is less than 1, meaning that the image is smaller than the pre-image.

More can be learned about dilation at brainly.com/question/3457976

#SPJ1

6 0
1 year ago
A study has indicated that the sample size necessary to estimate the average electricity use by residential customers of a large
Zanzabum

Answer:

\sigma=547.1125

Step-by-step explanation:

-The margin of error is calculated using the formula:

ME=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}\\\\

-We substitute the values, n=900 and ME=30 in the formula to solve for standard deviation:

ME=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}\\\\\\30=1.645\times\frac{\sigma}{\sqrt{900}}\\\\\sigma=\frac{30^2}{1.645}\\\\=547.1125

Hence, the population standard deviation is 547.1125

7 0
3 years ago
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