Answer:
1/2
Step-by-step explanation:
According to pythagoras theorem;
(sinx)²+(cosx)² = 1
Given that sinФ = √3/2
Substitute into the formula
(√3/2)²+(cosx)² = 1
3/4+(cosx)² = 1
(cosx)² = 1 - 3/4
(cosx)² = 1/4
cos x = √1/4
cos x = 1/2
Hence the value of cosФ is 1/2
Answer:
25
Explanation:
A : B
4 : 5
20 : 25
Multiply the sides by 5
Answer:
x = 112
y = 76
Step-by-step explanation:
x + 68 = 180
x = 180 - 68
x = 112
y = 76 (Because of alternate interior angles)
Answer:
32
Step-by-step explanation:
This is an equilateral triangle, the 3 sides are equal.
Also, that means 3 angles are equal.
Given the 2 angles, we can say:
2x - 4 = 5y
Also, the angle is "5y" as they are equal.
Sum of 3 angles of a triangle is 180, so we can write:
2x - 4 + 5y + 5y = 180
2x + 10y - 4 = 180
2x + 10y = 184 [Equation 2]
From the first equation we can solve for y:

Now, we plug this into Equation 2 and find x:

So x is 32