Answer:
1. Dave worked for 34 hours.
2. Perimeter of the rectangle is 172 cm.
Step-by-step explanation:
1. Determination of the hours Dave worked.
Let D represent Dave.
Let M represent Mike.
Let J represent John.
Tota time worked by Dave, Mike and John is 56 hours. This can be written as:
D + M + J = 56 ..... (1)
Dave worked 6 more than 4 times as many hours as Mike. This can written as:
D = 6 + 4M .....(2)
John worked 6 less than 3 times as many hours as Mike. This can be written as:
J = 3M – 6 ........ (3)
Substituting the value of F and J into equation 1, we have:
D + M + J = 56
D = 6 + 4M
J = 3M – 6
6 + 4M + M + 3M – 6 = 56
6 – 6 + 4M + M + 3M = 56
8M = 56
Divide both side by 8
M = 56/8
M = 7
Substitute the value of M into equation (2) to obtain the value of D.
D = 6 + 4M
M = 7
D = 6 + 4(7)
D = 6 + 28
D = 34
Therefore, Dave worked for 34 hours .
2. Determination of the perimeter.
Length (L) = 64 cm
Width (W) = 22 cm
Perimeter (P) =?
P = 2(L + W)
P = 2 (64 + 22)
P = 2 (86)
P = 172 cm
Therefore, the perimeter of the rectangle is 172 cm
Answer:
31.9
Step-by-step explanation:
We have the hypotonouse and need the adjacent side
to solve for x we will use CAH
Cos(15)=x/33
33cos(15)=x
x=31.87555 which rounds to 31.9
Answer:
72 feet is the answer. The shadow of the 63 ft tower.
So, to solve this problem you just have to add up all of the smaller parts.
First, we have our daily charge: $46.99
2 * 46.99 = $93.98
Next, we have our mileage costs, which will be
[ (miles driven) * (charge per mile) ] - (50 * 0.35)
(430 * 0.35) - 17.5
150.50 - 17.50 = $133
Finally, we add our daily rate to our mileage costs.
93.98 + 133 = $226.98
