Answer:
Pendulum will swing by an angle 0.666π
Step-by-step explanation:
We have given arc = 
And length of the pendulum l = 150 cm
Length of the pendulum will be equal to radius of the pendulum so r = 150 cm
Arc is given by 
So 

So pendulum will swing by an angle 0.666π
ANSWER
The x-coordinate of the solution to the system of equations is 3.
EXPLANATION
The solution to the system of equations is the point of intersection of the straight lines that represents the given system.
From the graph the two straight lines intersected at:
(3,2)
Hence the solution to the system of equations is (3,2)
The x-coordinate of the solution to the system of equations is 3.
Answer:
y = 9x + 18
where y is the weight and x is the age
Explanation:
Assume that the age is x and the weight is y.
We are given that:
At age of 16, Logan was 162 pounds. Therefore, point on the line is (16,162)
At age of 20, Logan was 198 pounds. Therefore, point on the line is (20,198)
The general form of the linear equation is:
y = mx + c
where m is the slope and c is the y-intercept
1- getting the slope:
slope (m) = (y2-y1) / (x2-x1)
m = (198-162) / (20-16) = 9
The equation now becomes:
y = 9x + c
2- getting the y-intercept:
The two given points belong to the required line. This means that each of them satisfies the equation of the line.
So, to get the y-intercept, we will substitute with one of the points in the equation and solve for c.
I will use point (16,162) as follows:
y = mx + c
162 = 9(16) + c
162 = 144 + c
c = 162 - 144 = 18
Therefore, the equation becomes:
y = 9x + 18
Hope this helps :)
Answer:
Step-by-step explanation:
SOH CAH <u>TOA</u>
we have the (opposite) --> 325
we have the (adjacent) --> 296
so do the inverse tan of opposite over adjacent...
degrees