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>
Answer:
24 monkeys are in the tree
Step-by-step explanation:
We solve it by writing
times 
Why is it over 100? Because every percent is out of 100!
X
(your equation)
60 times 40 = 2400 and 100 times 1 = 100, We get,
,
Lastly, we simplify the fraction by 100 on each side:
/
you get 24
Answer:
1/36
Step-by-step explanation:
Attached is a chart showing the 36 possible outcomes for rolling 2 number cubes. The sum of the two cubes is 12 in only one of the outcomes (both sixes). The probability is 1/36.
Answer:
$14.25
Step-by-step explanation:
20% of $15 is $0.75
$15 - $0.75 = $14.25