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Oliga [24]
3 years ago
5

Bob is building a wooden cabin. The cabin is 30 meters wide. He obtained a bunch of 17 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? Round your final answer to the nearest tenth.
Mathematics
1 answer:
qaws [65]3 years ago
3 0
The roof will be in the shape of an isosceles triangle with a base length of 30 m and two sides that are 17 m. The two 17 m beams will have the same angle of elevation since they have to might in the middle.

So to find the angle of elevation, we can split the roof in half vertically to create a right triangle. The base will now be 15 m, and the hypotenuse will be 17. Now we can use a trigonometry function to solve for the angle. We know the hypotenuse and the side adjacent to the angle, so we can use cosine.

cos(\theta) =  \frac{adjacent}{hypotenuse}

cos(\theta)= \frac{15}{17}

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

\theta = 28.1^{\circ}

The answer  is 28.1 degrees
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A package of 6 pairs of insulated gloves costs ​$51.54. What is the unit price of the pairs of gloves ​?
mafiozo [28]

Answer:

$8.59

Step-by-step explanation:

The unit price is just asking for what one pair of gloves cost.

\$ 51.54 \div6=\$8.59

∴The unit price of the pairs of gloves is $8.59

Hope this helps!

6 0
2 years ago
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Find the slope of the line shown on the graph to the right
damaskus [11]

Answer:

1

Step-by-step explanation:

We need two points to find the slope

( -1,0) and ( 2,3)

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 3-0)/(2 - -1)

  = (3-0) / ( 2+1)

  = 3/3

  = 1

The slope is 1

6 0
3 years ago
Find the arc length (to the nearest inch) of the sector of a circle with a radius 14 inches and a central angle of 0=108°
forsale [732]
Length of arc=angleO/360×2pi×r
=108/360×22/7×14×14
=3/10×22×2×14
=66×2×14/10
=1848/10
=184.8inches
4 0
3 years ago
BRAINLIEST, THANKS AND 5 STARS IF ANSWERED BOTH CORRECTLY
ratelena [41]

Answer:

Numer 1

A) (-5, -4), (-4, -3), (-3, -2), (-2, -1) Is a function

Number 2

C) (-5, -1), (-2, -1), (1, -1), (4, -1) is a function

6 0
3 years ago
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To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine foun
QveST [7]

Answer:

We conclude that  the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 31.7 milligrams

Sample mean, \bar{x} = 28.5 milligrams

Sample size, n = 9

Alpha, α = 0.05

Sample standard deviation, s =  2.8 milligrams

First, we design the null and the alternate hypothesis

H_{0}: \mu = 31.7\text{ milligrams}\\H_A: \mu < 31.7\text{ milligrams}

We use One-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{28.5 - 31.7}{\frac{2.8}{\sqrt{9}} } = -3.429

Now, t_{critical} \text{ at 0.05 level of significance, 8 degree of freedom } = -1.860

Since,                  

t_{stat} < t_{critical}

We fail to accept the null hypothesis and accept the alternate hypothesis. We conclude that  the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

3 0
3 years ago
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