Answer:
X∈
Step-by-step explanation:
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:
8/15
Step-by-step explanation:
Using Pythagorean Theorem the length of XZ is 15.
tan X = opposite / adjacent = YZ / XZ = 8 / 15.
Answer:
what is this supposed to mean??
Step-by-step explanation:
21 cars, 32 motorcycles.create a system of equations using x for cars and y for motorcycles.

multiply the top equation by 2 to prepare for elimination method

subtract terms

divide both sides by negative 2 to solve for x
x =21
plug in x into original equation to solve for y.
21 + y = 53
subtract both sides by 21
y=32