Remark
I like to work from the original equation.
Givens
T = 2.2 seconds
pi = 3.14
L = ??
Substitute and Solve
T = 2*pi*sqrt(L/32) Find the value of 2*pi
2.2 = 2*3.14* sqrt(L/32)
2.2 = 6.28 * sqrt(L/32) Divide both sides by 6.28
2.2/6.28 = sqrt(L/32)
0.35032 = sqrt(L/32) Square both sides.
0.122723 = L/32 Multiply both sides by 32
0.122723 * 32 = L
L = 3.927 feet. <<<<< Length pendulum creating 2.2 seconds.
Find the slope(s) twice, first the slope of the line connecting (2,4) and (4,8) and then the slope of the line connecting (2,4) and (8,12). If you get different slopes, then it'd be safe for you to conclude that the points do not lie on the same line.
Find the area of the parallelogram, find the area of the triangle, then subtract the triangle's area from the area of the parallelogram.
Area of Parallelogram:
A= base * height
A= 20 in * 10 in
A= 200 in^2
Area of Triangle:
A= 1/2 base * height
A= 1/2 (10 in)(9 in)
A= 1/2 (90)
A= 45 in ^2
Area of Poster Left:
subtract the difference
A= Parallelogram Area - Triangle Area
A= 200 in^2 - 45 in^2
A= 155 in^2
ANSWER: 155 in^2 is the area of the poster board she has left.
Hope this helps! :)
Answer:
d = 56x + 412
Step-by-step explanation:
To find the total number of miles traveled on Monday and Tuesday, use a linear equation to write the function.
y = mx+b where m is the speed or rate of change and b is the starting point.
The starting point on Tuesday is 412 miles. This is b.
The number of miles traveled on Tuesday is found by calculating 56 miles times the number of hours traveled. This is the slope or m.
So the equation is d = 56h + 412.