Some triangles can have a right angle, but not all triangles are right angles. If a triangle has a right angle, it has one angle of 90°. Triangles have a total of 180°.
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Answer:
√(2 + √3)/4
Step-by-step explanation:
Sine 5π/12 = Sine (5π/6)/2
Recall
π = 180°
Thus,
Sine (5π/6)/2 = Sine (5×180 /6)/2
= Sine 150/2
Recall
Sine θ/2 = √(1 – Cos θ)/2
Thus,
Sine 150/2 = √(1 – Cos 150)/2
But, Cosine is negative in the 2nd quadrant. Thus,
Cos 150 = – Cos 30 = –√3/2
Thus,
√(1 – Cos 150)/2 = √(1 – –√3/2 )/2
= √(1 + √3/2 )/2
= √[(2 + √3)/2 ÷ 2]
= √[(2 + √3)/2 × 1/2]
= √(2 + √3)/4
Therefore,
Sine 5π/12 = √(2 + √3)/4
Answer:
Length = 30
Height = 10
Step-by-step explanation:
Formula for the area = height * length. We know that the height of the wall is 1/3 of its length. This gives us another formula which is 
Now substitute this into the formula, while knowing that the area is 300.
So we have 300 = 
Solving for l gives us 30 and then substituting it back into the equation
, will give us that the height is 10.
Hope this helps
The second one because 4d x c is the correct answer
Given:
The given equation is:

A line is perpendicular to the given line and passes through the point (4,-1).
To find:
The equation of required line.
Solution:
The slope intercept form of a line is:

Where, m is slope and b is y-intercept.
We have,

Here, the slope of the line is -4 and the y-intercept is 3.
Let the slope of required line be m.
We know that the product of slopes of two perpendicular lines is -1. So,



The slope of required line is
and it passes through the point (4,-1). So, the equation of the line is:




Therefore, the equation of the required line is
.