Let's say that:
y=(2n-8)
y+8=2n
(y+8)/2=n
then switch the variables
(n+8)/2
Part because the whole proportion would be 4/4 and 2/4 is part of it
Answer:
Option F, 10 inches.
Step-by-step explanation:
For a circle of radius R, the perimeter is:
P = 2*pi*R
such that pi = 3.14
If we have a section of that circle defined by an angle θ, the length of the arc is:
A = (θ/360°)*P = (θ/360°)* 2*pi*R
In this case, we have a circle whose radius is defined by the length of the windshield wiper.
We also know that in one 90° revolution (so it travels the length of the arc of 90° two times) the tip travels a distance of 31 in.
Then:
A = 2*[(90°/360°)*2*3.14*R] = 31in
We need to solve this for R.
R = 31in/( 2*(90°/360°)*2*3.14) = 9.8in
We can round this to the next whole number:
R = 10in
The correct option is F.
The perimeter of a rectangle can be found using the formula P = 2l + 2w, where l is the length and w is the width.
Here is what we know of the rectangle:
P = 68 in
l = 3w - 2
To find the length, plug 68 for P into P = 2l + 2w, and plug 3w - 2 for l in the same formula. Then solve algebraically for w.
P = 2l + 2w
68 = 2(3w - 2) + 2w
68 = 6w - 4 + 2w
68 = 8w - 4
72 = 8w
9 = w
Now that we have w, we can plug it into 3w - 2 to find l, length.
3w - 2
3(9) - 2
27 - 2
25
That makes our length 25 inches and our width 9 inches. (Don't forget to write units!) Let's plug everything back into the formula to check our work.
68 = 2(25) + 2(9)
68 = 50 + 18
68 = 68 -- This is true
Answer:
The length of the rectangle is 25 inches.
Answer:
14 and 15
Step-by-step explanation:
14 and 15
14 x 14 = 196
15 x 15 = 225