The LCM of 24 and 30 is 120.
Answer:
Did you mean she has a bag that contains 300 chips? if so yes.
Step-by-step explanation:
If each cookie gets 6 chips and she makes 40 cookies, you can use multiplication to see.
6*40=240
She has plenty, 60, of chocolate chips left over
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:
d
Step-by-step explanation:
