Mark ogara rented a truck from avis rent-a-car for the weekend(2 day). the base rental price was $29.95 per day plus 141 2 cents per mile. mark drove 410.85 miles.how much does mark owe?

$610.0702

Step-by-step explanation:

Base rental price = $29.95

Price per mile = 141.2 cents

Total miles driven = 410.85 miles

Mile     :     Price per mile

 1         :     141.2 cents

410.85 :            x

Cross multiply

x = 410.85 x 141.2

x = 58012.02 cents

Converts cents to dollars

1 cent = 0.01 dollar

58012.02 cents = $580.1202

Total amount owed = base rate + price per mile

Total amount owed = $29.95 + $580.1202

Total amount owed = $610.0702

Therefore, Mark owes $610.0702 for driving 410.85 miles.

!!

We will use the law of cosines
side a² = b² + c² -2bc • cos(A)
side a² = 729 + 196 -2*27*14 * cos (46)
side a² = 925 -(756 * 0.69466)
side a² = 399.83704
side a = 19.995925585
We could round that to 20
a = 20 b = 27 c =14

We can calculate a triangle's area when we know all 3 sides by using Heron's Formula
area = square root (s • (s - a) • (s - b) • (s - c))

where s is the semi-perimeter
semi-perimeter = (side a + side b + side c) ÷ 2
s = (20 + 27 + 14) / 2
s = 30.5
Now we use Heron's Formula
area = square root (s • (s - a) • (s - b) • (s - c))
area = square root (30.5 • (30.5 - 20) • (30.5 - 27) • (30.5 - 14))
area = square root (30.5 • (10.5) • (3.5) • (16.5))
area = square root (18494.4375)
area = 135.9942553934  which rounds to
136 square feet
Source:
http://www.1728.org/triang.htm