Answer:
$6
Step-by-step explanation:
p=pound
5/6p= 500
p= 500(6/5)
p=600 cents
p=$6
Hope this helps!!!
Answer:
Formula for the Arc length is given by:
![\text{Arc length} = 2 \pi r \cdot \frac{\theta}{360^{\circ}}](https://tex.z-dn.net/?f=%5Ctext%7BArc%20length%7D%20%3D%202%20%5Cpi%20r%20%5Ccdot%20%5Cfrac%7B%5Ctheta%7D%7B360%5E%7B%5Ccirc%7D%7D)
As per the statement:
radius of circle(r) = 6 units
Angle (
) =
radian
Use conversion:
![1 rad = \frac{180}{\pi}](https://tex.z-dn.net/?f=1%20rad%20%3D%20%5Cfrac%7B180%7D%7B%5Cpi%7D)
= ![\frac{180}{\pi} \cdot \frac{7 \pi}{8} = \frac{1260}{8} = 157.5^{\circ}](https://tex.z-dn.net/?f=%5Cfrac%7B180%7D%7B%5Cpi%7D%20%5Ccdot%20%5Cfrac%7B7%20%5Cpi%7D%7B8%7D%20%3D%20%5Cfrac%7B1260%7D%7B8%7D%20%3D%20157.5%5E%7B%5Ccirc%7D)
then;
substitute these given values we have;
Use value of ![\pi = 3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D%203.14)
![\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot \frac{157.5^{\circ}}{360^{\circ}}](https://tex.z-dn.net/?f=%5Ctext%7BArc%20length%7D%20%3D%202%5Ccdot%203.14%20%5Ccdot%20%286%29%20%5Ccdot%20%5Cfrac%7B157.5%5E%7B%5Ccirc%7D%7D%7B360%5E%7B%5Ccirc%7D%7D)
or
![\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot 0.4375](https://tex.z-dn.net/?f=%5Ctext%7BArc%20length%7D%20%3D%202%5Ccdot%203.14%20%5Ccdot%20%286%29%20%5Ccdot%200.4375)
Simplify:
![\text{Arc length}=16.485](https://tex.z-dn.net/?f=%5Ctext%7BArc%20length%7D%3D16.485)
Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units
Answer:
d= -5
Step-by-step explanation:
The slope of a line is found by finding the ratio of change is y values to change is x values
![m=y_2-y_1/x_2-x_1](https://tex.z-dn.net/?f=m%3Dy_2-y_1%2Fx_2-x_1)
The points on the line have coordinates at: (-1,7) (-3,d)
where ;
![y_2=d, y_1=7,x_2=-3,x_1=-1,m=6](https://tex.z-dn.net/?f=y_2%3Dd%2C%20y_1%3D7%2Cx_2%3D-3%2Cx_1%3D-1%2Cm%3D6)
Applying the formula with values as;
![6=\frac{d-7}{-3--1} \\\\6=\frac{d-7}{-3+1} \\\\6=\frac{d-7}{-2} \\\\6*-2=d-7\\\\-12=d-7\\\\-12+7=d\\\\-5=d](https://tex.z-dn.net/?f=6%3D%5Cfrac%7Bd-7%7D%7B-3--1%7D%20%5C%5C%5C%5C6%3D%5Cfrac%7Bd-7%7D%7B-3%2B1%7D%20%5C%5C%5C%5C6%3D%5Cfrac%7Bd-7%7D%7B-2%7D%20%5C%5C%5C%5C6%2A-2%3Dd-7%5C%5C%5C%5C-12%3Dd-7%5C%5C%5C%5C-12%2B7%3Dd%5C%5C%5C%5C-5%3Dd)
The value of d = -5
The coordinates of the points (-1,7) (-3,-5)
Answer:
96 inches
Step-by-step explanation:
Answer:
x^2-8x+16
Step-by-step explanation:
(x-4)^2
x^2-4x-4x+16
x^2-8x+16