Answer:
Step-by-step explanation:
Sum of all three angles = 180
∠A + ∠B + ∠C = 180
33 + 90 + ∠C = 180
123 + ∠C = 180
∠C = 180 -123
∠C = 57°
Each gallon cost $6.23.
Explanation:
25-6.31=18.69
He spent $18.69 at the store since he has $6.31 left out of the $25 he originally had
He brought 3 gallons with an equal price each gallon so
18.69/3=6.23
He spent $6.23 on each gallon
Answer:
41,666.67m2
Step-by-step explanation:
Call W the Width and L the Length with 3 pieces.
The total length will be 2W + 3L
The Area is L*W
so,
A = L*W
2W+3L = 1000
Solve for L
3L = 1000-2W
L = (1000-2W)/3
subtitute for L into the first equation
A = L*W
A = W*(1000-2W)/3
A = (1000W - 2W^2)/3
Now, to find the max, set the 1st derivative = 0. I don't know if you know what that means, but...
dA/dW = 1000/3 - 4W/3 = 0
1000 - 4W = 0
W = 250 meters
Solve for L
2W+3L = 1000
500 + 3L = 1000
3L = 500
L = 166.67 m
Area = 250*500/3 = 41,666.67m2.
<span>You
are paid $78 for 61/2 hours of work.
Question: What is your rate of pay?
=> 78 dollars = is the money paid to you
=> 6 and ½ is the time you rendered for work
=> 6 and half hours = 6.50 hours or 6 hours and 30 minutes
Solution:
=> 78 dollars / 6.5 hours = 12 dollars.
Thus, your rate is 12 dollars per hour (12 dollars/h)</span>
