Answer:
-7 1/7
Step-by-step explanation:
To “distribute” means to divide something or give a share or part of something.
<span>a.
</span>Let m = be the number of miles driven
Cost of NYC rentals: 525 + 0.21m
Cost of Metro Trucks: 585 + 0.13m
<span>b.
</span>525 + 0.21m = 850
0.21m = 325
M = 1,548 miles
<span>c.
</span>Initial cost for NYC rentals = $525
Initial cost for Metro Trucks = $585
<span>d.
</span>NYC rentals: 525 + 0.21 (500) = $630
Metro Trucks rentals: 585 + 0.13 (500) = $650
<span>e.
</span>525 + 0.21m = 585 + 0.13m
0.21m – 0.13m = 585 – 525
0.08m = 60
m = 750 miles
Apply the Law of Sines.
sin A sin B sin C
------- = -------- = --------
a b c
Inserting the given data,
sin 36 sin B sin C
--------- = -------- = --------
250 300 420
300 sin 36
Then 300 sin 36 = 250 sin B, and sin B = ---------------- = 0.705
250
Thus, arcsin B = 0.783 rad = 44.857 degrees, or about 45 degrees.
Taking B to be 45 degrees and the given angle 36 deg, then the 3rd angle must be 180 - (45+36) = 99 degrees (which is opposite the 420-ft side).
At this point we apply Heron's formula. You should look this up on the 'Net.
a + b + c 250 + 300 + 420
First, we calculate S = --------------- = ------------------------ = 970/2 = 485
2 2
and then calculate sqrt (S(S-A)(S-B)(S-C):
Area of triangle / lot is then:
A = sqrt(485(485-250)(485-300)(485-420))
= sqrt(485(235)(185)(65) )
= 37021 square feet
The question is asking what is 15% of $300.
"of" means multiply, and 15% is the same as 0.15 (% means divide by 100), so you have
0.15 * $300 = $45.
