Answer:
Cosθ = 3/5
Step-by-step explanation:
Given:
In ∆ ABC.
AB measures = 4
BC measures = 5
CA measures = 3
The angle formed at point C is marked theta
angle A is the right angle
Find attached the diagram from the given information.
We are to find the cosine ratio. To do this, we would apply SOHCAHTOA in trigonometry
Sine ratio: Sinθ = opposite /hypotenuse
Cosine ratio: Cosθ = adjacent/hypotenuse
Tangent ratio: Tanθ = opposite/adjacent
From the diagram,
adjacent = AC
hypotenuse = BC
Using the above formula,
Cosθ = adjacent/hypotenuse = AC/BC
Cosθ = 3/5
<span><span>Well, since we know that sin(x) = cos(90-x), we can transform the given into
2x - 8/3 = 90 - (4x - 10/3)
2x - 8/3 = 90 - 4x + 10/3
Now clear fractions by multiplying by three...
6x - 8 = 270 - 12x + 10
6x - 8 = 280 - 12x
18x = 288
x = 16
4x - 10/3 = 4(16) - 10/3 = 64 - 3.33 = 60.67 degrees.
Choice C.</span><span>
</span></span>
Answer:
-2.4
Step-by-step explanation:
Let the unknown number be x.
-3.7 = -1.3(1) + x
-3.7 = -1.3 + x
x - 1.3 = -3.7
x = -3.7 + 1.3
x = -2.4