Complete question is;
Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 16 miles south. She then runs 12 miles west. Her trainer bikes from the health club to meet jane at the end of her run. Use the pythagorean theorem to write an equation for the distance janes trainer bikes
Answer:
x = √(12² + 16²)
Step-by-step explanation:
We are told that;
She bikes from health club to South = 16 miles
From South to West = 12 miles
Her trainer bikes from the health club to meet her at the end which is west.
I have attached a diagram showing this movement in form of a triangle.
From the diagram I attached, I have depicted the distance the trainer bikes as x.
Using pythagoras theorem;
x² = 12² + 16²
x = √(12² + 16²)
Answer: 11x-6
Steps:
(2x+ 1/2) + (9x - 6 1/2)
-1/2. -1/2
2x+9x-6
11x-6
So the final answer is 11x-6
Answer: -11, -3, 17
Step-by-step explanation:
There are three answers depending on what x equals. In this case, x can equal: -2, 0, or 5.
Part 1:
Step 1: Substitute -2 for x
-3 + 4(2)
Step 2: Solve
-3 + 8 = 5
This is the first answer
Part 2:
Step 1: Substitute 0 for x
-3 + 4(0)
Step 2: Solve
-3 + 0 = -3
This is the second answer
Part 3:
Step 1: Substitue 5 for x
-3 + 4(5)
Step 2: Solve
-3 + 20 = 17
This is the third answer
Answer:
x ≈ 80.4
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan15° = 
= 
( multiply both sides by 300 )
300 × tan15° = x , then
x ≈ 80.4 ( to the nearest tenth )
The two heaviest pumpkins weigh 19.5 lbs. Together, they weigh 35 lbs.
The two lightest pumpkins weigh 10 lbs and 10.75 lbs. Together, they weigh 20.75 lbs.
35 - 20.75 = 14.25 lbs
Hope this helps!
