You can find the circumference of the circle with the circumference equals 2pir.
circumference=2pi9
circumference=18pi
circumference=56.55 feet
you can then turn the feet into inches by multiplying by 12
(56.55 feet)x(12inches/foot)=678.58 inches
then divide 678.58 inches by 54 inches to find how many light strands are needed.
(678.58 inches)/(54 inches/strand)=12.57 strands
Step-by-step explanation:
Hey there!
The points of line AB are; (-1,-4) and (2,11).
Note:
- Use double point formula and simplify it to get two eqaution.
- Use condition of parallel lines, perpendicular lines to know whether the lines are parallel or perpendicular or nothing.
~ Use double point formula.
![(y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)](https://tex.z-dn.net/?f=%28y%20-%20y1%29%20%3D%20%20%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D%20%28x%20-%20x1%29)
~ Keep all values.
![(y + 4) = \frac{11 + 4}{2 + 1} (x + 1)](https://tex.z-dn.net/?f=%28y%20%20%2B%204%29%20%3D%20%20%5Cfrac%7B11%20%2B%204%7D%7B2%20%2B%201%7D%20%28x%20%2B%201%29)
~ Simplify it.
![y + 4 = \frac{15}{3} (x + 1)](https://tex.z-dn.net/?f=y%20%2B%204%20%3D%20%20%5Cfrac%7B15%7D%7B3%7D%20%28x%20%2B%201%29)
![y + 4 = 5x + 5](https://tex.z-dn.net/?f=y%20%2B%204%20%3D%205x%20%2B%205)
![5x - y + 1 = 0](https://tex.z-dn.net/?f=5x%20-%20y%20%2B%201%20%3D%200)
Therefore this is the equation of line AB.
Now, Finding the equation of line CD.
Given;
The points of line CD are; (1,1) and (4,10).
~ Using formula.
![(y - y1) = \frac{y2 - y1}{x2 - x1}(x - x1)](https://tex.z-dn.net/?f=%28y%20-%20y1%29%20%3D%20%20%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D%28x%20-%20x1%29%20)
~ Keep all values.
![(y - 1) = \frac{10 - 1}{4 - 1} (x - 1)](https://tex.z-dn.net/?f=%28y%20-%201%29%20%3D%20%20%5Cfrac%7B10%20-%201%7D%7B4%20-%201%7D%20%28x%20-%201%29)
~ Simplify it.
![y - 1 = 3 x - 3](https://tex.z-dn.net/?f=y%20-%201%20%3D%203%20x%20-%203)
![3x - y - 2 = 0](https://tex.z-dn.net/?f=3x%20-%20y%20-%202%20%3D%200)
Therefore, 3x - y- 2 = 0 is the eqaution of line CD.
Use condition of parallel lines.
m1= m2
Slope of equation (i)
![m1 = \frac{ - coeff. \: of \: x}{coeff \: of \: y}](https://tex.z-dn.net/?f=m1%20%3D%20%20%5Cfrac%7B%20-%20coeff.%20%5C%3A%20of%20%5C%3A%20x%7D%7Bcoeff%20%5C%3A%20of%20%5C%3A%20y%7D%20)
![m1 = \frac{ - 5}{ - 1}](https://tex.z-dn.net/?f=m1%20%3D%20%20%5Cfrac%7B%20-%205%7D%7B%20-%201%7D%20)
Therefore, m1 = 5
Slope of second equation.
![m2 = \frac{ - coeff \: .of \: x}{coeff \: .of \: y}](https://tex.z-dn.net/?f=m2%20%3D%20%20%5Cfrac%7B%20-%20coeff%20%5C%3A%20.of%20%5C%3A%20x%7D%7Bcoeff%20%5C%3A%20.of%20%5C%3A%20y%7D%20)
![m2 = \frac{ - 3}{ - 1}](https://tex.z-dn.net/?f=m2%20%3D%20%20%20%5Cfrac%7B%20-%203%7D%7B%20-%201%7D%20)
Therefore, m2 = 3.
Now, m1≠m2.
So, the lies are not parallel.
Check for perpendicular.
m1*m2= -1
3*5≠-1.
Therefore, they aren't perpendicular too.
So, they are neither.
<em><u>Hope </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
B
Step-by-step explanation:
Answer:
-5,4
Step-by-step explanation:
Okay this is what i got it might be wrong but i did it and then looked it up to make sure i was right & it showed the same answer!!
3.55 * 1.6= 5.68!!