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.
Since x+y equals 5 that means x is 3 and y is 2 because 3+2=5. So now plug it in, 2(3)+3(2). Two multiplied by three is 6 and three times two is 6. So now it’s 6+6 which equals 12. So it’s 2(3)+3(2)=12
Answer:
42
Step-by-step explanation:
first we calculate what is 20% of 35 is then we add it to 35 to find the increased number
35 ÷ 100 = 0.35 this multipled by 20 = 7
35 + 7 = 42
Assuming the fish pond is round, what you're given is the circumference.
So you know that 2<span>πr = 27.
We want to solve for the diameter, or d = 2r. We should isolate that.
2r = 27/</span><span>π
2r = 8.59 yards, or ~9 yards.</span>
6x-9=15
6x=24
x=4
Therefore the answer is A.
Hope this helps :)