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kiruha [24]
2 years ago
11

Bob is building a wooden cabin. The cabin is 303030 meters wide. He obtained a bunch of 171717 meters long wooden beams for the

roof of the cabin. Naturally, he wants to place the roof beams in such an angle that each pair of opposite beams would meet exactly in the middle. What is the angle of elevation, in degrees, of the roof beams

Mathematics
1 answer:
luda_lava [24]2 years ago
7 0

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

The width of the room is 30 meters.

If two beams will be making an angle, they will half the width.

There will be a right triangle made, so using SOH CAH TOA,

cos x=\frac{adjacent}{hypotenuse}

cos x=\frac{15}{17}

taking cos inverse

x = cos^{-1} (\frac{15}{17} )

x = 28.07°   :   Answer

Hope it will help :)

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8 0
2 years ago
A garden supply store sells two types of lawn mowers. Total ales of mowers for the year were $8379.70. The total number of mower
Anestetic [448]

Answer:

The number of small mowers are 19 and the large mowers are 11.

Step-by-step explanation:

Given:

A garden supply store sells two types of lawn mowers. Total sales of mowers for the year were $8379.70. The total number of mowers sold the 30. The small mower cost $249.99 and the large mower costs $329.99.

Now, to find the number of each type of mower sold.

Let the number of small mower be x.

And the number of large mower be  y.

So, total number of mowers are:

x+y=30

x=30-y\ \ \ ....(1)

Now, the total sales of mowers are:

249.99(x)+329.99(y)=8379.70

Substituting the value of x from equation (1) we get:

249.99(30-y)+329.99y=8379.70

7499.7-249.99y+329.99y=8379.70

7499.7+80y=8379.70

<em>Subtracting both sides by 7499.7 we get:</em>

80y=880

<em>Dividing both sides by 80 we get:</em>

y=11.

The number of large mower = 11.

Now, to get the number of small mowers we substitute the value of y  in equation ( 1 ):

x=30-y\\x=30-11\\x=19.

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2 years ago
*50 PTS, WILL MARK BRAINLIEST*
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Part A)

Total stores = 362 + 66 = 428

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Yes this is consistent with the percentages shown in the first table.

Part B)

Total stores : 197 +115 = 312

197 / 312 = 0.631 = 63.1% = 63%

115 / 312 = 0.368 = 36.8% = 37%

The percentage for current stores is less than what is shown in the first table, so this would not be consistent.

Part C )

Percentage of new stores for the Northeast = 60 / 310 = 19%

The percentage of new stores for The Midwest and Northeast are below 25%, but the percentage of new stores in the South is above 25%, so the additional training wouldn't be required for the South, but should be required for the other two areas.

6 0
3 years ago
Which expression is equivalent to RootIndex 4 StartRoot x Superscript 10 Baseline EndRoot?
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Answer:

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

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8 0
2 years ago
Suppose that the probability density function for the length x in feet of some type of fish caught by sport fishermen is given b
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