48 feet
Divide 858 by 18 to get 47.6 > simplify > 48 feet
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.
Answer:
62
Step-by-step explanation:
The slope is m=5/4 and the y-intercept is b= -10
Answer:
Step-by-step explanation:
Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE <em>RATE OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>], so 1⅕ becomes −⅚, and we move forward with plugging the information into the Slope-Intercept formula:
![\displaystyle -8 = -\frac{5}{6}[24] + b \hookrightarrow -8 = -20 + b; 12 = b \\ \\ \boxed{y = -\frac{5}{6}x + 12}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-8%20%3D%20-%5Cfrac%7B5%7D%7B6%7D%5B24%5D%20%2B%20b%20%5Chookrightarrow%20-8%20%3D%20-20%20%2B%20b%3B%2012%20%3D%20b%20%5C%5C%20%5C%5C%20%5Cboxed%7By%20%3D%20-%5Cfrac%7B5%7D%7B6%7Dx%20%2B%2012%7D)
To write this in Linear Standard Form, perfourm he following:
y = −⅚x + 12
+ ⅚x + ⅚x
___________
⅚x + y = 12 [We cannot leave the equation this way, so multiply the equation by the denominatour to eradicate the fraction.]
6[⅚x + y = 12]
I am joyous to assist you at any time.
