Answer:
89
Step-by-step explanation:
So the line segment CD is 12.7 and half that is 6.35. I wanted this 6.35 so I can look at the right triangle there and find the angle there near the center. This will only be half the answer. So I will need to double that to find the measure of arc CD.
Anyways looking at angle near center in the right triangle we have the opposite measurement, 6.35, given and the hypotenuse measurement, 9.06, given. So we will use sine.
sin(u)=6.35/9.06
u=arcsin(6.35/9.06)
u=44.5 degrees
u represented the angle inside that right triangle near the center.
So to get angle COD we have to double that which is 89 degrees.
So the arc measure of CD is 89.
To find the value of the variable (j), we need to isolated it. we can do this by getting rid of all other numbers on that side of the equation. to do that, use the opposite function on both sides
8j + 17 = 20
the opposite function of +17 is -17, so subtract 17 from both sides to get
8j = 3
the opposite function of x8 is /8, so divide each side by 8 to get
j = 3/8
Answer:
radius = 11.00 yd (to the nearest hundredth)
Step-by-step explanation:
Volume of a cylinder =
, where
= radius and
= height
Therefore, for this problem: volume = 6458.98,
= 3.14,
= 17
Substituting these values into the above formula:
Volume =
,
6458.98 = 3.14 x
x 17
6458.98 = 53.58 x 
= 6458.98 ÷ 53.58 = 121
= √121
= 11
= 11.00 yd (to the nearest hundredth)
Answer:
XD,XE,XF
Step-by-step explanation:
XA,XB,XC,XD,XE,XF
IT IS BECAUSE OF THE ALPHABETICAL ORDER AFTER X