Answer:
2 and 14/15
Step-by-step explanation:
Hey there!!
Remember : R = range and f ( x ) = y and y = range
R : { 5 , 6 , 7 , 8 }
( 1 ) 5 = 1 x / 2 + 4
... 5 - 4 = x / 2
... 1 = x / 2
... x = 2 = ( 2 , 5 )
( 2 ) 6 = x / 2 + 4
... 2 = x / 2
... x = 4 = ( 4 , 6 )
( 3 ) 7 = x / 2 + 4
... 3 = x / 2
... x = 6 = ( 6 , 7 )
( 4 ) 8 = x /2 + 4
... 4 = x/2
... x = 8 = ( 8 , 8 )
Hope my answer helps!
Answers:
- sin(C) = 24/25
- cos(Z) = 5/13
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Explanation:
The formulas we use are
- sin(angle) = opposite/hypotenuse
- cos(angle) = adjacent/hypotenuse
The fraction 15/39 reduces to 5/13 after dividing both parts by the GCF 3.
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.