Answer:
10 gallons of gas
Step-by-step explanation:
Create a proportion, where x is the number of gallons she will use if she drives 75 miles:
=
Cross multiply and solve for x:
15x = 150
x = 10
So, she will have to use 10 gallons of gas to drive 75 miles
Given:
The parking space shown at the right has an area of 209 ft².
A custom truck has rectangular dimensions of 13.5 ft by 8.5 ft.
To find:
Whether the truck fit in the parking space or not?
Solution:
If the area of the truck is more than the area of the parking space, then the truck cannot fit in the parking space otherwise it will fit in the parking space.
The area of a rectangle is:
Area of the rectangular truck is:
The area of the truck is 114.75 ft² which is less than the area of the parking space, 209 ft².
Therefore, the truck can fit in the parking space because the area of the truck is less than the area of the parking space.
Using the given information, the width of the river is 505.96 m
<h3>Bearing and Distances</h3>From the question, we are to determine the width of the river
Consider the given diagram,
Let F be the first position of the biker
S be the second position
and C be the position of the church
First, we will determine the distance covered from F to S
Speed = 160m/min
Time = 4 minutes
Using the formula,
Distance = Speed × Time
Distance covered = 160 × 4
Distance covered = 640 m
That is, /FS/ = 640 m
Now, consider ΔFSC
∠F = 90° - 70° = 20°
∠S = 90° + 56° = 146°
and ∠C = 180° - 20° - 146° = 14°
By the Law of Sines
∴
/FC/ = 1479.33 m
Now,
By SOH CAH TOA
NOTE: d is the width of the river
∴ d = /FC/ × cos70°
d = 1479.33 × cos70°
d = 505.96 m
Hence, the width of the river is 505.96 m
Learn more on Bearing and distances here: brainly.com/question/19351991
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