Answer:
<em>π/2 and π/3</em>
Step-by-step explanation:
Given the equation 2cos²x - cosx = 0, to find the solution to the equation, we will follow the following step.
let P = cosx
The equation becomes 2P²-P = 0
P(2P-1) = 0
P = 0 and 2P-1 = 0
P= 0 and P = 1/2
Since P = cosx
cosx = 0 and cos(x) = 1/2
If cos(x) = 0
x = cos⁻¹0
x = 90⁰
x = π/2
If cos(x) = 1/2
x = cos⁻¹1/2
x = 60⁰
x = π/3
<em>Hence the solutions to the equation are π/2 and π/3.</em>
7/8 = x/48
Cross multiply, which is: a/b = c/d ⇒ ad = bc
After cross multiplying, we get:
8x = 7(48)
8x = 336
Divide 8 on both sides
x = 42
Your final answer is B. 42<span>.</span>
Answer:
Step-by-step explanation:

Answer:
1000
Step-by-step explanation:
2000/2 = 1000
(7/8)*(9/10)=7*9/(8*10)=63/80