Answer:
P = 16x+26y units
Step-by-step explanation:
Let the length is (x+8y) units
Width = (8x-x+5y) units
We need to find the perimeter. We know that the perimeter is equal to the sum of all sides.
P = 2[(x+8y) + (8x-x+5y)]
= 2[(8x+8y+5y)]
= 2[8x+13y]
= 16x+26y
Hence, the required perimeter is 16x+26y.
Answer:
1.5 seconds
Step-by-step explanation:
plug 0 in for y
0=-16t^2+36
then slove for t
-36=-16t^2
-36 / -16 = 9/4
9/4=t^2
square root of 9/4 is 3/2 or 1.5
t=1.5
Answer:
x = π/3, x = 5π/3, x = 4π/3
Step-by-step explanation:
Let's split the given equation (2cosx-1)(2sinx+√3 ) = 0 into two parts, and solve each separately. These parts would be 2cos(x) - 1 = 0, and 2sin(x) + √3 = 0.

Remember that the general solutions for cos(x) = 1/2 are x = π/3 + 2πn and x = 5π/3 + 2πn. In this case we are given the interval 0 ≤ x ≤2π, and therefore x = π/3, and x = 5π/3.
Similarly:

The general solutions for sin(x) = - √3/2 are x = 4π/3 + 2πn and x = 5π/3 + 2πn. Therefore x = 4π/3 and x = 5π/3 in this case.
So we have x = π/3, x = 5π/3, and x = 4π/3 as our solutions.
Answer:
30
Step-by-step explanation:
3 x 2 x 5 equals 30