Answer:
Option A 
Step-by-step explanation:
we know that

Solve for sin(A)

we have


substitute


1/14 because you have to have common denominators so you multiply 1/2 by 7/7 and multiply 3/7 by 2/2 so you end up getting 7/14 - 6/14 = 1/14
1 mile is equal to 1.6 kilometers, so 8 miles (using a direct proportion) should be equal to 8 * 1.6 = 12.8 kilometers. The cyclist rides at 12.8 kilometers per hour. In four hours, the cyclist would have rode 12.8 * 4 = 48 + 3.2 = 51.2 kilometers.
Answer: y-8=-1(x+3)
the formula for pain-slope form is:

(where

=a known y coordinate &

=a known x coordinate.
Now just plug in the data...
y-8=-1(x--3)
y-8=-1(x+3)
Answer:
The lateral surface is 120
, which agrees with the third answer option of the list.
Step-by-step explanation:
Notice that the prism has 5 equal lateral faces, which are all rectangles of eight 6". The width of the prisms can be obtained by using the fact that the perimeter of the pentagon is 20", which gives a side length of 20/5 = 4 " which is the same as the with of the lateral rectangles.
Then the lateral area of the prism is:
Lateral area= 5 (6" x 4") = 5 (24) = 120 