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Ymorist [56]
3 years ago
15

The pitch of a roof is its slope. The roof of a home rises vertically a distance of 8 ft through a horizontal distance of 15 ft.

Find the pitch of the roof.
Mathematics
1 answer:
PIT_PIT [208]3 years ago
4 0
If we discuss this as if it is a triangle then the "rise" is the vertical side and the "run" is the adjacent side.
So the ratio of the rise to the run is 8 / 15 which equals <span> <span> <span> 0.5333333333 </span> </span> </span>
To find the angle of this roof pitch we look up the arc tangent of <span> <span> <span> 0.5333333333  </span> </span> </span> and we find that is 28.072 Degrees

Trigonometry Calculator:
http://www.1728.org/trigcalc.htm




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Find the m∡B to the nearest tenth of a degree if cos B = 0.8926 and ∡B is an acute angle
mrs_skeptik [129]

Answer:

26.8°

Step-by-step explanation:

The cosine of an angle is the ratio of the adjacent side of the triangle in which the angle is formed to the hypotenuses side of the triangle. The cosine of the angle gives the ratio of these sides. However, the arc cosine of the ratio gives the angle measured in degrees.

If cos B = 0.8926

then arc cosine 0.8926  which may be expressed as cos-1 0.8926 will give the value of B.

B = cos-1 0.8926

= 26.8°

7 0
4 years ago
Lupita rides a taxi that charges a flat rate of $6.75 plus $3.20 per mile. If the taxi charges Lupita $40.03 in total for her tr
Alex777 [14]
Hello! In order to understand this question, we need to take a look at the content that is involved.

Lupita pays $40.03 in total. Meaning that's where we are going to start if we want to find out how many miles her ride was. Since the taxi charges a flat rate of $6.75. We would want to subtract it from her total value because we only work with that flat rate once. Which ends up giving us $33.28. From there, we don't need to worry about the flat rate anymore and we now focus on the mileage. If it costs $3.20 per mile, then we can simply divide the amount after to flat rate by the cost per mile, to figure out how many miles she has gone. In the end, you will get 10.4 miles.
8 0
3 years ago
A trapezoid has an area of 60 square inches. The height of the trapezoid is 5 inches. What is the length of the longer base if t
Vinil7 [7]

Answer:

Step-by-step explanation:

Remark

Let the shorter base = x

Let the longer base = 3x

h = 5

Area = 60

Formula

Area = (b1 + b2)*h /2

Solution

60 = (x + 3x)*5 / 2                Multiply both sides by 2

2*60 = (x + 3x)*5                  Combine like terms

120 = 4x *5

120 = 20x                             Divide by 20

120/20 = x

x = 6

Therefore the two bases are

x = 6

3x = 18

5 0
3 years ago
Read 2 more answers
How do you solve -2+6(-6x+6)?
Natali5045456 [20]

Answer: −36x+34

Step-by-step explanation:

Equation: −2+6(−6x+6)

Step 1. distribute the equation:

−2+(6)(−6x)+(6)(6)

−2+−36x+36

Step 2. Finally combine like terms:

−2+−36x+36

(−36x)+(−2+36)

−36x+34

Final Answer:

−36x+34

Hope I could help! :)

4 0
3 years ago
Sum of 6 divided by a number and that number divided by 6
Korvikt [17]
The sum is :
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Answer: ( 36 + x² ) ( 6 x ) 
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3 years ago
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