Question

Please help id appreciate it and please give me full answers. I will report.

Answer 1

Answer:

Part 1. 28 miles

Part 2. 16^2 + 12^2 = c^2

Part 3. 8 miles. All work is in step by step explanation.

Part 4. 8 miles

Step-by-step explanation:

Part 1. The total distance that Jane travels biking and running is 28 miles. This is because we add 16 and 12 which is her total route.

Part 2. The Pythagorean theorem is a^2 + b^2 = c ^2. In this case, the variable a is Jane's bike route(16 miles), the variable b is Jane's running route(12 miles), and the variable c is the Trainer's biking route as given. If we replace all variables with the values in miles, the equation would be 16^2 + 12^2 = c^2.

Part 3. WORK USED FROM EQUATION

16^2 = 16*16 = 256

12^2 = 12*12 = 144

Now we replace the numbers with the exponents with the solved numbers.

256 + 144 = c^2

256 + 144 = 400

400 = c^2

c = sqrt400

c = 20

Finally, we take the value of c and subtract it from the total distance of Jane's route which is 28 miles(as explained above).

28 - 20 = 8.

Hence, the answer is 8 miles