Answer:
Volume of shaded portion = (600 - 36π) units³
Step-by-step explanation:
Volume of the shaded portion = Volume of pyramid - Volume of cone
Volume of pyramid = ⅓*l*w*h
Where,
l = length of base of pyramid = 15 units
w = width of base of pyramid = 10 units
h = height of pyramid = 12 units
Plug in the values to find the volume of the pyramid
Volume of pyramid = ⅓*15*10*12 = 5*10*12 = 600 units³
Volume of Cone = ⅓πr²h,
Where,
r = radius = ½ of diameter = ½ of 9 = 3 units
h = height = 12 units
Volume of Cone = ⅓*π*3²*12 = ⅓*π*9*12
= π*3*12 = 36π units³
Volume of shaded portion = (600 - 36π) units³
Planes X and Y are perpendicular to each other
Points A, E, F, and G are points only in plane X
Points R and S are points in both planes X and Y
Lines EA and FG are parallel
The lines which could be perpendicular to RS are EA and FG.
Answer:
Option D. 
Step-by-step explanation:
Let
x -----> the original price of one game
y ----> the original price of one security programs
Remember that
The total pay with discount is
we have that
Find the total pay without discount
The amount saved is the difference
1 1/6 hours is equal to 60 minutes add 10 minutes = 70 minutes
7/8 takes 70 minutes
To find out what can be done in 10 minutes, divide both numbers by 7
7/8 / 7 = 1/8
1/8 takes 10 minutes
To find out how much is painted in 1 minute, divide both by 10
1/8 / 10 = 1/80
1/80 takes 1 minute
Answer:
C
Step-by-step explanation:
The y intercept is 2 and if you do the rise/run you'll find that the slope has to be 1/2
this means our equation has to be
1/2x+2
