Answer:
-6.5
Step-by-step explanation:
-2(p - 1) = 15
-2p + 2 = 15
-2p = 13
p = -6.5
Answer:
y = 38
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Consider the angles in the large outer triangle, then
x + 46 + 78 = 180
x + 124 = 180 ( subtract 124 from both sides )
x = 56
Consider the 3 angles in the smaller inner triangle, then
y + x + 86 = 180 , that is
y + 56 + 86 = 180
y + 142 = 180 ( subtract 142 from both sides )
y = 38
Area of a cylinder is the area of the top + the area of the bottom + the area of the wrap-around (lateral)
top: pi*r*r=81pi
bottom: 81pi
lateral: 2pi*r*h=18pi*h, h is unknown, but you don't have to solve it.
add them up: 81pi +81pi + 18h*pi=1850
pi*h=(1850-162pi)/18, (plug this in the volume formula below.)
volume of a cylinder: the area of the base × the height =81pi*h
volume=81[1850-162pi)/18]
use your calculator: V=6036
please double check my calculation by yourself.
