So sorry about my handwriting
Answer:
1,159
Step-by-step explanation:
1000*(1.03) = 1159.274 at t = 5
Answer:
c = b / cos 45.
Step-by-step explanation:
cos 45 = b/c
c * cos 45 = b
c = b / cos 45.
Answer:
x = 19
Step-by-step explanation:
A circle has a total of 360 degrees. Because central angles are congruent to the degree measures of their arcs, and because of vertical angles we can construct the equation :
5x+37+5x+37+3x-9-9=360
We can simplify this to :
8x+28=360
Subtract 28, divide 8, and x is 19
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
