Cos(A-B) = cosAcosB + sinAsinB
<span>
cos(</span>π/2 - θ) = cos(π/2)cosθ + sin(π/2)sinθ
π/2 = 90°
cos(π/2) = cos90° = 0. sin(π/2) = sin90° = 1
cos(π/2 - θ) = cos(π/2)cosθ + sin(π/2)sin<span>θ
</span>
= 0*cosθ + 1*sin<span>θ = </span>sin<span>θ
Therefore </span>cos(π/2 - θ) = sin<span>θ
QED </span>
It will expand. Or it will grow.
Answer:
x = 28
Step-by-step explanation:
(3x + 6^o) = 90^o
3x = 84^o
x = 28
The dog weighs 12 lbs.
The cat weighs 2/3 as much as the dog
- Divide 12 by 3
= 4
- Then multiply by 2
= 8
His cat weighs 8 pounds.
Answer: .111 with a bar notation over the last 1 or 11.1%
Step-by-step explanation:
There are 12 marbles in total. There are 4 yellow marbles. Therefore there is a 4/12 probability of Randomly picking a Yellow marble the first time . Since she placed the marble back, there is a 4/12 probability of getting a yellow marble the 2nd time.
(4/12)(4/12) = 16/144 = 1/9 = .111 with a bar notation over the last 1 or 11.1% (about 11%)
