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alisha [4.7K]
3 years ago
11

A roof has the shape of an isosceles triangle with equal sides 8 cm long and base 12 m long. What is the measure of the angle of

inclination of the roof to the nearest degree?
Mathematics
1 answer:
victus00 [196]3 years ago
7 0

Answer:

41 degrees to the nearest degree.

Step-by-step explanation:

A line drawn from the vertex and bisecting the base forms 2 right triangles.

The base of one right triangle = 1/2 * 12 = 6 m.

So cos A = adjacent side /hypotenuse   where A is the angle of inclination.

cos A=  6 / 8 = 0.75

m < A = 41.41 degrees.

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Vlad1618 [11]
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vladimir2022 [97]
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2 years ago
The local skating rink pays Mary a fixed rate per pupil plus a base amount to work as a skating instructor. She earns $90 for in
liq [111]
The expressions for the payment made to Mary are,
         (Monday)      90 = 15m + b
         (Tuesday)     62 = 8m + b
where m and b are the fee per student and the base fee, respectively. Solving for m and b, the values are 4 and 30. 
The equation that represents Mary's earning is 
                                    y = 4x + 30
 For 20 students,
                                    y = 4(20) + 30 = 110
For Lisa's earnings,
                                     y = 8x + 15
Substituting 20,
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6 0
3 years ago
Is (6, –2) a solution to this system of equations? y = –1/6 x − 1 y = 1/6 x − 3
Liula [17]

Answer:

Yes, (6, -2) is a solution to the given system of equations.

Step-by-step explanation:

Please write  y = –1/6 x − 1 y = 1/6 x − 3 as follows, for greater clarity:

y = (–1/6)x − 1

y = (1/6)x − 3

Let's actually solve this system:

y = (–1/6)x − 1

y = (1/6)x − 3

-----------------------

2y = -4, or y = -2

Now find x.  Arbitrarily we choose to use the first equation for this purpose:

y = (-1/6)x - 1.  We set y = -2 and find x:    -2 = (-1/6)x - 1

Combining the constants, we get -1 = (-1/6)x, or 6 = x

Yes, (6, -2) is a solution to the given system of equations.

5 0
3 years ago
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