Answer:
1/2
Step-by-step explanation:
Given:
sinx=-1/2
cosy=√3/2
finding x
x=sin^-1(-1/2)
x=-π/6
x=-30°
finding y
cosy=√3/2
y=cos^-1(√3/2)
y=π/6
y=30°
Now finding cos(x-y)
cos(-π/6-π/6)
=cos(-π/3)
=1/2!
Answer:
1. B. a=14, b=2
2. D. a=1, b=1.4
Step-by-step explanation:
The exponential growth function can be represented as
where b is the growth factor.
1. When the function has equation
then
The initial amount is the value of the function at x=0:
The growth factor is b=2
2. When the function has equation
then
The initial amount is the value of the function at t=0:
The growth factor is b=1.4
Answer:
12.71in
step explanation:
The Length of an arc given is expressed as;
A = theta/360 * 2πr
10 = 45/360 * 2 * 3.14r
10 = 1/8 * 6.28r
Cross multiply
10 * 8 = 6.28r
80 = 6.28r
r = 80/6.28
r = 12.74in
Hence the radius is 12.71in