log(4)x + log(4)(x + 5) = 6
log(4)x + log(4)x + log(20) = 6
log(8)x + log(20) = 6
<u> - log(20) - log(20)</u>
<u>log(8)x</u> = <u>6 - log(20)</u>
log(8) log(8)
x ≈ 0.999
When rounding the 4 you look to the right of the number, which is the 4, and if the number is higher than 5 you would change the 4 to 5.
Therefore: 71.5
The rock's height is increasing in the interval from 0 seconds to 3 seconds.
At time 0 the rock starts moving upward from 52 foot until it reachs 180 foot height (time 3 seconds). Then the rock starts to descend, which means that the height starts to decrease.
Both angles 2x+6 and 96 shown are vertically opposite angles and vertically opposite angles are always equal
so 2x+6 should be equal to 96
so 2x + 6 = 96
Now we have to solve for x here and have to get x by itself on left hand side
So first get rid of +6 by doing its opposite -6 on both sides
2x + 6 -6 = 96 -6
2x = 90
Now to get x by itself we have to get rid of 2, for that divide both sides by 2
x = 45
Hence proved that x = 45
Answer:
1733.28
Step-by-step explanation:
we want to find the surface area of the cylinder
We are given:
diameter = 12in
height = 40in
formula to find surface area of a cylinder: SA = 2πr^2 + 2πrh (where h = height and r = radius)
in order to find the SA of a cylinder we need to know the radius
we are given that the diameter is 12
we can acquire the measure of the radius by dividing the diameter by 2 ( this is because the radius is equal to half of the diameter )
so r = 12/2 = 6
now to find the surface area,
we simply plug in the values of the radius and height into the SA of a cylinder formula
SA = 2πr^2 + 2πrh
r = 6
h = 40
( note it says use 3.14 for π )
substitute values
SA = 2(3.14)(6)^2 + 2(3.14)(6)(40)
if you plug this into a calculator you get that the surface area is 1,733.28
