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
Answer:

Step-by-step explanation:
Let r be the radius of the circle, the measure of the arc is equal to:


Answer:
y = -1/3x + 14/3
Step-by-step explanation:
We have the standard equation as;
y = mx + b
where m is the slope and b is the y-intercept
the given points are;
(-1,5) and (2,4)
So we plug x and y for each of the points
then we create two linear equations which we can solve simultaneously to get the values of m and b
From the points;
5 = -m + b•••••••(i)
4 = 2m + b
from i;
b = 5 + m
substitute this into equation ii
4 = 2m + 5 + m
4 = 3m + 5
4-5 = 3m
3m = -1
m = -1/3
Recall;
b = 5 + m
b = 5-1/3
b = 14/3
so we have the equation as;
y = -1/3x + 14/3
Multiply through by 3
3y = -x + 14
If you want I can show you how to solve it
It would be 0.125 for the first answer