∠2 = ∠7
4x+2 = 5(x-2)
4x+2 = 5x-10
x = 12
Answer: 800pi inches
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Explanation:
The formula to find the circumference of a circle is
C = pi*d
where
C = distance around the circle (aka circumference)
pi = 3.14 approximately
d = diameter
We know that the diameter of the wheel is d = 8, so
C = pi*d
C = pi*8
C = 8pi
is the circumference of the wheel
One full rotation will have the wheel cover a distance of 8pi inches. Imagine that wet paint is on the outer surface of the wheel. If the wheel is rolled out in a straight line, then the wet paint would cover a linear distance of 8pi inches along the flat ground. This is one full rotation, so 100 rotations covers 100*8pi = 800pi inches
Note: if we use pi = 3.14 as the approximation, then the hamster ran approximately 800*pi = 800*3.14 = 2512 inches if the wheel could move
Answer:
x = -8/3
y = 4
Step-by-step explanation:
I assume you want to solve for x and y.
The best way to do this with the two formulas given is elimination. This means add the two equations together.
6x + 5y = 4
-6x + y = 20
The 6 x and -6x will cancel each other. By adding the like terms of the two together you will come out with
6y = 24
Now solve for y by dividing both sides by the 6.
y = 24/6 = 4
Now that we have y, you can plug it into one of the equations and solve for x.
Let's use -6x + y =20.
So plug in the 4 for y to get -6x + 4 = 20
Subtract the 4 from both sides then solve for y by dividing both sides by the -6.
-6x = 16
x = -16/6
You can reduce that down so that x = -8/3.
Answer: the answer is 64 1/3
Step-by-step explanation:
Answer:
v=2-2root7, v=2+2root7
Step-by-step explanation:
-2v+8(1+2v)=-90
-2-4v^2+8+16v=-90
6-4v^2+16v=-90
-4v^2+16v=-96
v=2-2root7, v=2+2root7
