Answer:
<h2>|1.7| = 1.7</h2>
Step-by-step explanation:
Definition of absolute value:
|a| = a if a ≥ 0
|a| = -a if a < 0
Examples:
|2| = 2
|-2| = -(-2) = 2
|0.45| = 0.45
|-0.45| = -(-0.45) = 0.45
|1000| = 1000
|-1000| = 1000
Therefore
|1.7| = 1.7
Answer:
508.68 in^2
Step-by-step explanation:
The equation given: 2πr^2+2πrh
Givens: r = 3 in, h = 3*8 in = 24 in, π ≈ 3.14
Substitution: 2(3.14)3^2+2(3.14)3*24
Solution: 508.68
2x+3y=6
subtract 2x from both sides.
3y=6-2x
divide by 3 on all sides.
y=2-2/3x
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.