Use the diagram attached below. Find the straight distance between the zoo and movie theater.
1 answer:
Answer:
The distance would be around 9.66 blocks
Step-by-step explanation:
If you draw a straight line from zoo to movie theater, we have a triangle.
The given angle is 86 degrees, the two sides adjacent to it are 6 and 8 and we want to find the side opposite (let it be "p") to the given angle.
We will use cosine rule to find this. The rule is:
Where
a and b are the two adjacent sides to the given angle
a = 6
b = 8
p is what we are looking for
P is the angle given
So, substituting and finding the value:
The distance would be around 9.66 blocks
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First we have to determine a linear equation. We will take two points (0,900) and (1,850):
y=mx+b
900=m*0+b, b=900
850=m*1+900
m=-50
Linear equation is:
y=-50x+900
Part A: y-interception is y=900 or(0,900).
It means that a car has to travel a distance of 900 miles to reach a final destination.
Part B:Average rate of change:
=-50. It represents how many miles per one hour changes the distance from a destination.
Part C: Domain of this function if the car traveled the same rate until it reached its destination:
0=-50x+900
50x=900
x=900/50=18
Domain: x∈ [0, 18].
y=mx+b
900=m*0+b, b=900
850=m*1+900
m=-50
Linear equation is:
y=-50x+900
Part A: y-interception is y=900 or(0,900).
It means that a car has to travel a distance of 900 miles to reach a final destination.
Part B:Average rate of change:
Part C: Domain of this function if the car traveled the same rate until it reached its destination:
0=-50x+900
50x=900
x=900/50=18
Domain: x∈ [0, 18].