Answer:
Step-by-step explanation:
The volume of a cone is
Filling in what we have:
and simplifying a bit:
Multiply both sides by 3 to get:
Divide both sides by 12.56 to get:
and take the square root of both sides to find the radius:
r = 5
If the radius is 5 and the radius by definition is half the diameter, then the diameter is 10 inches.
Answer:
Part a - 25 pieces
Part b - 4 sheets
Step-by-step explanation:
<u>Part a</u>
Think of this in terms of how many "units" can the total paper be cut into. Easiest way to keep track of units is by their area. In other words, take the total area and see how many unit areas fit into it:
Number of units = total area / unit area
N = (85 x 60) / (20 x 10)
N = 5100 / 200
N = 25.5
Therefore the greatest number of pieces the paper can be cut into is 25 units (the 0.5 doesn't count since it's not a full pieces).
<u>Part b</u>
Again, back to units. This time the "total" is 100, and our unit size is 25.5. So:
Number of units = total gifts / gifts per unit
N = 100 / 25.5
N = 3.9
Therefore 4 sheets of wrapping paper will be needed (you need to round the 3.9 up because wrapping paper sheets only come in whole numbers for the purposes of this question).
1. 9 feet revelent to the surface
2. 19 points
Answer:
Not independent
Step-by-step explanation:
The number of single bedroom apartments is 90;
The number of single occupants in that 90 is 64;
64/90 or 32/45 is the rate that a single occupant lives in a 1 bedroom apartment.
The number of multiple bedroom apartments is 110;
The number of single occupants in that 110 is 12;
12/110 or 6/55 is the rate that a single occupant lives in a multiple-bedroom apartment.
The rate of single occupants in any type of apartment is 76/200 or 19/50
32/45>19/50>6/55; since the rate of single occupants in 1 bedroom apartments is higher than the rate of single occupants living in any type of apartment and a multiple-room apartment, the event that an apartment has 1 bedroom and 1 occupant is not indepenent.
