Questions:
A clothing manufacturer uses the model a = √(f + 4) - √(36 - f) to estimate the amount of fabric to order from a mill. In the formula, a is the number of apparel items (in hundreds) and f is the number of units of fabric needed. If 400 apparel items will be manufactured , how many units of fabric should be ordered?
Answer:
32 units of fabrics
Step-by-step explanation:
Given
Required
Find f when a = 4
Substitute 4 for a
Rewrite as:
Square both sides
Collect Like Terms
Divide through by 2
Square both sides
Collect like terms
Factorize
or
f can not be 0 because some units must be ordered.
So, f = 32
Answer:
3sqrt2
Step-by-step explanation:
If a side length is a, then a^2 + a^2 = 36
2a^2 = 36
a^2 = 18
a = 3sqrt2
Or, you can remember that in a square, if you cut it in half diagonally, you get a 45-45-90 triangle, so the sidenglth is diagonal/sqrt2
Answer:
Solve for
x
by simplifying both sides of the inequality, then isolating the variable.
Step-by-step explanation:
To solve for the value of x, it is easiest by isolating "x" to one side of the equation. This method is shown below:
-2x - 13 = 8x + 7
Adding 2x to both sides:
-2x - 13 + 2x = 8x + 7 + 2x
-13 = 10x +7
Subtracting 7 from both sides:
-13 - 7 = 10x + 7 - 7
10x = -20
Dividing both sides by 10:
10x / 10 = -20 / 10
x = -2