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>
26,862 divided by 407 is 66
Here's the long division way that shows how you get 66
For this answer, you multiply the weight of each penny nail by x and the weight of each wood nail by y. If the bag holds one pound of nails, you would use the inequality ≤.
.05x + 0.1y ≤ 1
Answer:
x=2-1/2y
Step-by-step explanation:
12x+6y=24
12x=24-6y
x=24/12-6/12y
x=2-1/2y
Answer:
About 6 chairs
Step-by-step explanation:
75x=22.50+420
75x=442.5
x=5.9
So about 6 chairs
