Answer:
m=4
Step-by-step explanation:
−9(m+3)+14=−49
Step 1: Simplify both sides of the equation.
−9(m+3)+14=−49
(−9)(m)+(−9)(3)+14=−49(Distribute)
−9m+−27+14=−49
(−9m)+(−27+14)=−49(Combine Like Terms)
−9m+−13=−49
−9m−13=−49
Step 2: Add 13 to both sides.
−9m−13+13=−49+13
−9m=−36
Step 3: Divide both sides by -9.
−9m
−9
=
−36
−9
m=4
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:
FH ~ 10.02
Step-by-step explanation:
1. Approach
One should first find the circumference of the given circle. Then one should find how large the fraction of the circumference one is supposed to find is. Finally, one should multiply the fraction of the circumference one is supposed to find by the total circumference.
2. Circumference of the circle
The formula for circumference is;
π
Substitute in the given values;
It is given that the radius is, hence
2 (7) π
14π
3. Find the fraction of the circumference one is supposed to find
It is given that the angles over the measure of the total degrees of angles in a circle are equal to the arc surrounding the angles of the circumference. Essentially;

Substitute in the given information and solve;

arc = 
arc = 
arc ~ 10.02
1.because it’s a straight line that passes through the origin
2.he make $16
3.$96
4. $240/16 per hour = 15