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tmmackie9261
18.03.2021 •
Mathematics
Find the perimeter and round to the nearest tenth
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Ответ:
Perimeter = 12.0 m
Step-by-step explanation:
Perimeter = AB + AC + BC
AB = 5 m
B = 53°
Use trigonometric functions to find AC and BC respectively.
✔️Find AC:
Reference angle = 53°
Opposite side length = AC
Hypotenuse = 5 m
Apply SOH, which is:
Sin 53 = Opp/Hyp
Sin 53 = AC/5
5*Sin 53 = AC
AC = 3.99317755 ≈ 4 m
✔️Find BC:
Reference Angle = 53
Hypotenuse = 5 m
Adjacent = BC
Apply CAH, which is:
Cos 53 = Adj/Hyp
Cos 53 = BC/5
5*Cos 53 = BC
BC = 3.00907512 ≈ 3.0 m
✔️Perimeter = 5 + 4 + 3 = 12.0 m
Ответ:
A car having a mileage of 25 miles per gallon, require 1.95 gallons for travelling 45 minutes at speed of 65 mph.
Solution:
Let’s first calculate distance travelled by car.
Given that car travelled for 45 minutes at speed of 65mph
time is given in minutes while speed is given in mph that is miles per hour.
So let’s convert time from minutes to hours
60 minutes is equal to 1 hour
So 1 minute is equal to (
) hours
45 minutes =
hours =
=
= 0.75 hours
Distance = Speed x time = 65 x 0.75 = 48.75 miles
So distance covered by car is 48.75 miles
So now we need to calculate gallons of required for covering 48.75 miles
From given information
For 25 miles, quantity of gas required = 1 gallon
So for 1 mile, quantity of gas required is = (
) gallons
And for 48.75 miles, quantity of gas required is (
) x 48.75 = 1.95 gallons
Hence a car having a mileage of 25 miles per gallon, require 1.95 gallons for travelling 45 minutes at speed of 65 mph.