The first thing we must do in this case is to rewrite the equation correctly:
T = 2 * pi * root (l / 32)
From here, we clear l:
T / (2 * pi) = root (l / 32)
l / 32 = (T / (2 * pi)) ^ 2
l = 32 * (T / (2 * pi)) ^ 2
Substituting values:
l = 32 * (1.57 / (2 * 3.14)) ^ 2
l = 2 feet
Answer:
the length is:
l = 2 feet
If you would like to solve 1/(x + 3) = (x + 10)/(x - 2), you can do this using the following steps:
<span>1/(x + 3) = (x + 10)/(x - 2)
</span>1 * (x - 2) = (x + 10) * (x + 3)
x - 2 = x^2 + 3x + 10x + 30
0 = x^2 + 13x + 30 - x + 2
0 = x^2 + 12x + 32
0 = (x + 8) * (x + 4)
1. x = -8
2. x = -4
The correct result would be x = -8 and x = -4.
Answer:
A. 13; D. 29; F. 37
Step-by-step explanation:
Add 3 to each of the given numbers, then select the result that is divisible by 8.
The sums are 16, 22, 27, 32, 38, 40
Of those numbers, the ones divisible by 8 are 16, 32, 40. These correspond to choices A, D, F.
Answer:
1,408 packs can be made, and 2 pens will be left out.
Step-by-step explanation:
Given that a manufacturer has 5,634 pens to divide into packs of 4 pens, and the manufacturer makes as many packs as possible, to determine how many packs of pens does the manufacturer make, and how many pens are left over, the following must be done calculation:
5.634 / 4 = X
1,408.5 = X
5,634 - (1,408 x 4) = X
5.634 - 5.632 = X
2 = X
Therefore, 1,408 packs can be made, and 2 pens will be left out.
