The simplest form of 85 over 100 is 17 over 50
Answer:
184.43in².
Step-by-step explanation:
Total surface area of the solid = volume of the cube - the volume of the cone
For the CUBE;
Volume of the cube = L³ where L is the length of one side of the cube.
Since a cone of diameter of 6in is cut into a cube, then the length of the cube will be 6in.
Volume of the cube = 6³ = 216in³
For the CONE;
Volume of the cone = 1/3 πr²h
r is the radius of the cone = diameter/2
r = 6/2 = 3in
slant height l = 4.5in
the height h of the cone will be derived using the Pythagoras theorem.
l² = h²+r²
4.5² = h²+3²
h² = 4.5²-3²
h² = 11.25
h=√11.25
h = 3.35in
Volume of the cone = 1/3 × π × 3²× 3.35
= 31.57in³
Total surface area of the solid = 216in³-31.57in³
= 184.43in²
It would take 30 movies that you would have to rent before the membership becomes the cheaper option.
Answer:
No, it's not equivalent
Step-by-step explanation:
Try and solve the one with the bracket first. Expand 8(15-r) : 8x15 and 8x-r = 120 - 8r
Therefore, the equation can now be written as:
6r-r + 120-8r + 23-6
Rearrange the like terms together and solve the equation:
6r-r-8r + 120+23-6 = -3r + 137
Answer:
y < (1/2)x + 2
Step-by-step explanation:
Recall that slope intercept form looks like
y = mx + b
we simply have to rearrange the given equation until it looks like the above
3x-6y>12 (subtract 3x from both sides and rearrange)
-6y > -3x + 12 (divide both sides by 6)
-y > (-3/6)x + (12/6)
-y > -(1/2)x + 2 (multiply both sides by -1, remember to flip the inequality)
y < (1/2)x + 2
