Greetings!To find the length of any side of a
right triangle, you can use the
Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
Input the information from the diagram into the formula:
Expand each term:



Combine like terms:
Add -169 to both sides:

Factor out the Common Term (2):
Factor the Complex Trinomial:



Set Factors to equal
0:


or


However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)
The Solution Is:

I hope this helped!
-Benjamin
1 pound of coffee costs 6.95
3.4 pounds will cost 6.95 x 3.4 = 23.63
1200 as you would round it down to 100 a week so you would do 100x12
It wants you to find how much money you will spend a year at each separate gym. That way you can find out which one is cheaper. Once you’ve done that, you need to find how many days it would take for both gym’s cost to be the same after so many days.