Answer:
Round it otherwise round it because i
Answer:
-6
Step-by-step explanation:
the answer of |-6|
is 6 if we're gonna talk about the opposite it will be negative
Recall the sum identity for cosine:
cos(a + b) = cos(a) cos(b) - sin(a) sin(b)
so that
cos(a + b) = 12/13 cos(a) - 8/17 sin(b)
Since both a and b terminate in the first quadrant, we know that both cos(a) and sin(b) are positive. Then using the Pythagorean identity,
cos²(a) + sin²(a) = 1 ⇒ cos(a) = √(1 - sin²(a)) = 15/17
cos²(b) + sin²(b) = 1 ⇒ sin(b) = √(1 - cos²(b)) = 5/13
Then
cos(a + b) = 12/13 • 15/17 - 8/17 • 5/13 = 140/221
Answer:
108 cm^2
Step-by-step explanation:
Trapezoid area = (a+b)/2 * h
= (6+12)/2 * 6 = 54 cm^2
Triangle area = b*h/2 = 12* (15-6) / 2 = 54 cm^2
Total area is 54+54 = 108 cm^2
