Answer:
225 sq ft
Step-by-step explanation:
If the rectangle is 5 times as long as it is wide and the area is 45 sq ft then that would make it 225 sq ft. Happy to help!
I don’t know if you have to use a variable or not…
Answer:
10 / 16
Step-by-step explanation:
10/16
5 x 2 = 10
8 x 2 = 16
Step-by-step explanation:
A supplementary angle is an angle that is 180 degrees. We are given two angles that add up to 180, but we need to solve for x first.
The first step is to solve both angles. We know that both angles added together are supplementary, so they are equal to 180.
4x + 8 = unknown angle
6x + 3 = unknown angle
(4x + 8) + (6x + 3) = 180
Because we know a supplementary angle is 180 degrees, we can solve for x to find both angles.
Solve for x.
(4x + 8) + (6x + 3) = 180
10x + 11 = 180
10x = 169
x = 16.9
Now, we know the value of x, so we plug in x for both angles to determine which angle is smaller.
4x + 8
4(16.9) + 8
67.6 + 8 = 75.6 degrees
and the other angle
6x + 3
6(16.9) + 3
101.4 + 3 = 104.4 degrees
Now we know that the smaller angle is 75.6 degrees.
Also, to make sure the math is correct, when plugging in both numbers after finding x, they should add to 180.
75.6 + 104.4 = 180 so we know they are supplementary for sure.
Good luck!
Answer:
Time taken = 9987.38 years
Step-by-step explanation:
We have plutonium-240 decays according to the parent function
k is the decay constant,0.00011
k = 0.00011
We need to find how long will it take 27 grams of plutonium-240 to decay to 9 grams.
Q(t) = 9 g
Q₀ = 27 g
Substituting
Time taken = 9987.38 years