Answer:
17 kilometers
Step-by-step explanation:
The pythagorean theorm is a^2 + b^2 = c^2
In this problem we can call 8 km a and 15 km b.
Plug 8 and 15 into the pythagorean theorm to get 8^2 + 15^2 = c^2
This will give you 289=c^2
Take the square root of both sides to get c=17
Hope this helps!
Answer:
The coordinate of the rest stop is: 
The distance between the hotel and the stadium is 32 miles
Step-by-step explanation:
Given
--- Team hotel
--- Stadium
Solving (a): The coordinates of the rest stop
The rest stop is at half way;
So, the coordinate is:

This gives:


Open bracket

Solving (b): Distance between the hotel and the stadium
We have:
--- Team hotel
--- Stadium
The distance (d) is:

So, we have:





From the question, we have:

So:


Cost of a ticket = $19
So, cost of two tickets = 19 * 2 = $38
Now, he makes, $4.75 in an hour.
Let, the number of hours for that much money = x
It would be: 4.75x = 38
x = 38 / 4.75
x = 8 hours
In short, Your Answer would be 8 hours
Hope this helps!
CENTRAL ANGLE:
<span>There are 32 passenger cars, so you want an angle equal to 1/32 of the full circle.
</span>
<span>The full circle in degrees is 360°, but you want radians. </span>
<span>The full circle in radians is 2π. </span>
<span>2π / 32 </span>
<span>= π/16 radians
</span>
<span>ARC LENGTH </span>
<span>The arc length would be 1/32 of the full circumference. I know you already asked and got answers for the full circumference. Divide that by 32.
</span>
<span>AREA OF SECTOR: </span>
<span>Ditto on this. You have the full area from a prior question. Now just divide it by 32</span>