Answer:

Step-by-step explanation:
Given


Required
Ratio B(x) to A(x)
This is calculated as:

Express as fraction

Substitute:
and 

Apply law of indices


Answer:
2√137
Step-by-step explanation:
To find AB, we can use the Pythagorean Theorem (a² + b² = c²). In this case, a = 22, b = 8 and we're solving for c, therefore:
22² + 8² = c²
484 + 64 = c²
548 = c²
c = ± √548 = ± 2√137
c = -2√137 is an extraneous solution because the length of a side of a triangle cannot be negative, therefore, the answer is 2√137.
Renaud has to pay 2 percent + 14 percent = 16 percent initial costs
We can establish a proportion:
If 100% is => $170,500
Then 16% => $C costs
$C = 16 x $170,500/100 = $27,280 initial costs
Total cost = $163,021.87 + $27,280 = $190,301.87
Answer : C.) $190,301.87
Answer:
a) 38"
b) L = 5.7'
Step-by-step explanation:
a) Given
P = 9,500 lb/ft
Thick = 18"
We assume an allowable bearing pressure of σ = 3000 lb/sf
If Stress = Force / Area
σ = P/A
Solving for area
A = P/σ ⇒ A = 9,500 lb/ft/3000 lb/sf
⇒ A = 3.167 sf, or 3.167 ft wide, per foot of length.
⇒ A = 38" wide
We can see the pic 1 in order to understand the answer.
b) Given
P = 65,000 pounds = 65,000 lb
Thick = 18" = 1.5'
We assume an allowable bearing pressure of σ = 2000 lb/sf
If Stress = Force / Area
σ = P/A
Solving for area
A = P/σ ⇒ A = 65,000 lb/2000 lb/sf
⇒ A = 32.5 sf
then A = L² ⇒ L = √A = √(32.5 sf) = 5.7 ft
Finally L = 5.7'
We can see the pic 2 in order to understand the answer.
To get the growth factor from a percentage increase, express the percentage as a decimal, then add 1.
256% = 2.56
2.56 + 1 = 3.56
The appropriate choice is ...
c. 3.56