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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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Which of the following estimates at a 95% confidence level most likely comes from a small sample?
dusya [7]
<span>The <u>correct answer</u> is:

A) 60% ± 18%.

Explanation:

In a confidence interval, the margin of error is given by z*(</span>σ/√n<span>), where </span>σ<span> is the standard deviation and n is the sample size.

First we <u>find the value of z</u>:

We want a 95% confidence level; 95% = 95/100 = 0.95.

To find the z-score, we first subtract this from 1:
1-0.95 = 0.05.

Divide by 2:
0.05/2 = 0.025.

Subtract from 1 again:
1-0.025 = 0.975.

Using a z-table, we find this value in the middle of the table. The z-score that is associated with this value is 1.96.

Back to our formula for margin of error, we have 1.96(</span>σ<span>/</span>√n<span>). The larger n, the sample size, is, the larger its square root is. When we divide by a larger number, our answer is smaller; this gives us a smaller margin of error.

This means that if we had a small sample size, we would divide by a smaller number, making our margin of error larger. The largest margin of error we have in this question is 18%, so this is our correct answer.</span>
7 0
2 years ago
The park shown is in the shape of a square. Is the perimeter rational or irrational? Area = 24,200 yd 2
dangina [55]

Answer:

irrational

Step-by-step explanation:

A = s^2

s^2 = 24,200

s = \sqrt{24200}

s = \sqrt{242 \times 100}

s = \sqrt{100 \times 121 \times 2}

s = 10 \times 11\sqrt{2}

s = 110\sqrt{2}

P = 4s

P = 4 \times 100 \sqrt{2}

P = 440 \sqrt{2}

The perimeter is irrational.

3 0
2 years ago
In a race, Car #1 went an average of 165 miles per hour for x hours before dropping out. Car #2 went an average of 175 miles per
Akimi4 [234]
When you think about it. It's actually quite easy.
The number are the amount of miles, and the variables are the amount of hours. So we would just have to multiply them. So, by putting the number together we would be able to multiply them once we have the numbers for the variables. Since we dont have them, we can just make the inequality. It says that car 1 traveled at LEAST that of car 2. Showing that car 1 may have traveled farther. SOOOOO........ the inequality should look like this:

165x <span>≥ 175y</span>
7 0
2 years ago
Read 2 more answers
the perimeter of a rectangular campsite is 64m and its area is 207m^2. find the length and breadth of the campsite
NNADVOKAT [17]

Answer:

The length is 23\ m and the breadth is 9\ m

Step-by-step explanation:

Let

x ----> the length of a rectangular campsite

y ----> the breadth of a rectangular campsite

we know that

The perimeter of a rectangle is equal to

P=2(x+y)

P=64\ m

so

64=2(x+y)

32=(x+y)

y=32-x ------> equation A

The area of a rectangle is equal to

A=xy

A=207\ m^{2}

so

207=xy -----> equation B

substitute equation A in equation B

207=x(32-x)\\\\207=32x-x^{2}\\\\x^{2}-32x+207=0

Solve the quadratic equation by graphing

The solution is x=23\ m ( I assume that the length is  greater than the breadth)

see the attached figure

Find the value of y

y=32-23=9\ m

therefore

The length is 23\ m and the breadth is 9\ m

4 0
2 years ago
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Firlakuza [10]

Answer:

One solution x = 2

Step-by-step explanation:

Given the equation:

\dfrac{1}{2}(x+12)=4x-1

Multiply this equation by 2:

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Use distributive property:

x+12=8x-2

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Thus, this equation has one solution x = 2

7 0
2 years ago
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