Answer:
The answer to your question is width = 6 ft; length = 24 ft
Step-by-step explanation:
Data
Area = 144 ft²
width = w
length = l
The width is 1/4 of the length
Formula
Area = width x length = w x l
Length = 4 width l = 4w
Process
1.- Substitute length in the first equation
Area = w(4w)
Simplify
Area = 4w²
2.- Solve for w
w =
Substitution
w =
Simplification
w =
Result
w = 6 ft
3.- Find l
l = 4(6)
l = 24 ft
We have:
Then we use trigonometric identities to change the negative sign of the trigonometric functions, so:
We clear f(x):
we simply what we can:
Thus, the correct answer is;
Answer:
$74.96
Step-by-step explanation:
$79.80 × 0.12 = 9.576 (discount)
$79.80 - $9.576 = $70.224
$70.224 × 0.0675 = 4.74012 (add for sales tax)
$70.224 + $4.74012 = $74.96412