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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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Plz help me with this :(
koban [17]

Answer:

m is equals to 49 degree + 31 degree so which means it's 80°

6 0
3 years ago
Solve each system of equations; nonlinear algebra 2<br><br> x2 + x + y - 26 = 0<br> x + y = 1
BigorU [14]

Answer:

(5,-4) and (-5,6)

Step-by-step explanation:

Given:

\left\{\begin{array}{l}x^2+x+y-26=0\\ \\x+y=1\end{array}\right.

Solve it. First, express y in terms of x from the second equation:

y=1-x

Substitute it into the first equation:

x^2+x+1-x-26=0\\ \\x^2-25=0\\ \\(x-5)(x+5)=0

Apply zero product property:

x-5=0\ \text{or}\ x+5=0

So,

x=5\ \text{or}\ x=-5

When x=5, then y=1-5=-4

When x=-5, then y=1-(-5)=6

We get two solutions: (5,-4) and (-5,6)

8 0
3 years ago
Samantha has $24 but she wants a pair of Jordan's that are $112. She does chores and she gets paid $5 for each chore. If she doe
natita [175]

Answer:

Check step-by-step.

Step-by-step explanation:

Okay, so. She gets 5 dollars and she does 15 chores. You would multiply it.

5 * 15 = $75

Then you would subtract 112 and 75.

112 - 75 = 37.

She will get $75. Then, she will need to gather $37

6 0
3 years ago
HELP it's Geometry HW I WILL GIVE BRAIN LIST AND 5 STARS​
Margaret [11]
Number one: if line segments SR & RT are perpendicular line segment Tu and US are perpendicular and angle STR is congruent to angle TSU, then triangle TRS is congruent to triangle SUT
Number two: if line segment AC is congruent to line segment CB and line segment CB bisects line segment AB, then < a is congruent to < B
3 0
3 years ago
logan had a bank account balance of 287 he then deposit 35 and went on a shopping trip if he spends 78 what is his new balance a
gizmo_the_mogwai [7]
The answer is 244 because you add 35 to 287 then subtract 78 and it equals 244
6 0
4 years ago
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