The straight line distance from the starting point is 41 miles.
<u>Explanation:</u>
Given:
Distance covered towards north, n = 9 miles
Distance covered towards east, e = 40 miles
Distance from the origin to the end, x = ?
If we imagine this, then the route forms a right angle triangle
where,
n is the height
e is the base
x is the hypotenuse
Using pythagoras theorm:
(x)² = (n)² + (e)²
(x)² = (9)² + (40)²
(x)² = 1681
x = 41 miles
Therefore, the straight line distance from the starting point is 41 miles.
Answer:
2/3 of the track
Step-by-step explanation:
5/7 • 4/5 is 2/3 so Sarah ran 2/3 around the track.
For this, the equation is
90× 1.13³=y
X was replaced with y. Since she is gaining, you have to remember she is going to have 100 percent of what he had before, she will not lose any.
90× 1.13= 129.86
Now, we need to find the amount of interest she gained, so we have to subtract 90 from the total.
129.86-90=39.86
We can also find the answer by completing a small chart.
The first column will be the year. The second will be the amount. The third will be the interest for the year.
1 90 11.7
2 101.7 13.22
3 114.92 14.94
The total would round to 39.86, so her interest for the 3 year would be 39.86, with her having 129.86 altogether.