Answer:
h = 3.75
Step-by-step explanation:
Step 1: Write equation
2.5/6 = h/9
Step 2: Solve for <em>h</em>
- Cross multiply: 22.5 = 6h
- Divide both sides by 6: 3.75 = h
- Rewrite: h = 3.75
Step 3: Check
<em>Plug in h to verify it's a solution.</em>
2.5/6 = 3.75/9
0.416667 = 0.416667
Evans finishes 42 laps in 96,6 mins and Loza finished 38 laps in 102,6 mins
Evans. 96,6÷42= 2,30 mins
Loza . 102,6÷38= 2,70 mins
2,70 mins - 2,30 mins
= 40 secs and Evan is faster with 40secs in each lap.
Answer:
49.0809
Step-by-step explanation:
Round it up to 49.10
Answer:
7 feet is the length of the blade of the windmill.
Step-by-step explanation:
We have the equation
h = 7 sin(pi/21t) + 28 ------ eq1
At time 't' = 0, the end of the blade is pointing to the right parallel to the ground meaning it is at the same height as the other end. (Ф = 0°)
So, by calculating the maximum height of this end at Ф = 90°. we can calculate the length of the blade.
Now, we know that a general model equation of a circular simple harmonic motion is represented as : y = A sinωt + k ----- eq2
Where A is the amplitude that is, maximum displacement from mean to maximum position.
ω is the angular frequency.
Comparing eq1 and eq2:
A = 7
so the difference in blades end height at Ф = 0° and Ф = 90° is 7 feet.
Hence, the length of the blade is 7 feet.
