To find an angle you need to use trig ratios (tan, sin, and cos).
In this case to find ∠R you would need to use sin or cos because both of the legs are not across or adjacent to it.
To find ∠R you would need to do the "opposite" formula which would be (for sin) 5/13 <span>≈ 0.38.. asin = 22.26</span>
Answer:
y = -3/2x + 5/2
Step-by-step explanation:
Point: (5, -5)
Parallel to: y = -3/2x + 2
Slope= -3/2 (parallel lines have the same slope)
y-intercept = -5 - (-3/2)(5) (y - slope times x) =
-5 + 15/2 = 5/2
Answer:
a) cos(α+β) ≈ 0.8784
b) sin(β -α) ≈ -0.2724
Step-by-step explanation:
There are a couple of ways to go at these. One is to use the sum and difference formulas for the cosine and sine functions. To do that, you need to find the sine for the angle whose cosine is given, and vice versa.
Another approach is to use the inverse trig functions to find the angles α and β, then combine those angles and find find the desired function of the combination.
For the first problem, we'll do it the first way:
sin(α) = √(1 -cos²(α)) = √(1 -.926²) = √0.142524 ≈ 0.377524
cos(β) = √(1 -sin²(β)) = √(1 -.111²) ≈ 0.993820
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a) cos(α+β) = cos(α)cos(β) -sin(α)sin(β)
= 0.926×0.993820 -0.377524×0.111
cos(α+β) ≈ 0.8784
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b) sin(β -α) = sin(arcsin(0.111) -arccos(0.926)) ≈ sin(6.3730° -22.1804°)
= sin(-15.8074°)
sin(β -α) ≈ -0.2724
The answer is one thousand five hundred thirty eight
Answer:
Step-by-step explanation:
By definition, the sum of the interior angles of a triangle is 180 degrees.
You can observe that the given triangle has an angle that measures 90 degrees and it also has two equal sides.This means that the other two angles are equal.
Knowing this, you can conclude that the triangle is an Isosceles Right Triangle and the other angles measure 45 degrees each.
Therefore, now you know that:
Solving for "x", you get that its value is:
And for the other angle:
Solving for "y", you get that its value is the following:
