your Answer is going to be 13/25
Answer:
(0, - 1 )
Step-by-step explanation:
A translation down means subtracting 4 from the y- coordinate of the point, that is
B(0, 3 ) → B'(0, 3 - 4 ) → B'(0, - 1 )
Answer:
20 people. Because 5 already came to the party. 1/3 of his relatives came is 5, so multiply 5 by 3, then add 5. You get 20 people.
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
= 7/8 − 1/5
= ((7 × 5) − (1 × 8)) / (8 × 5)
= (35 - 8) / 40
= 27/40
SO, 27/40 minutes are NOT spend on instructions.
Hope I was able to help! :)
