Answer:
a) 81π in³
b) 27 in³
c) divide the volume of the slice of cake by the volume of the whole cake
d) 10.6%
e) see explanation
Step-by-step explanation:
<h3><u>Part (a)</u></h3>
The cake can be modeled as a <u>cylinder </u>with:
- diameter = 9 in
- height = 4 in



<h3><u>Part (b)</u></h3>

If each slice of cake has an arc length of 3 in, then the volume of each slice is 3/9π of the entire volume of the cake.

<h3><u>Part (c)</u></h3>
The volume of each slice of cake is 27 in³.
The volume of the whole cake is 81π in³.
To calculate the probability that the first slice of cake will have the marble, divide the volume of a slice by the volume of the whole cake:

<h3><u>Part (d)</u></h3>
Probability is approximately 10.6% (see above for calculation)
<h3><u>Part (e)</u></h3>
If the four slices of cake are cut and passed out <em>before </em>anyone eats or looks for the marble, the probability of getting the marble is the same for everyone. If one slice of cake is cut and checked for the marble before the next slice is cut, the probability will increase as the volume of the entire cake decreases, <u>until the marble is found</u>. So it depends upon how the cake is cut and distributed as to whether Hattie's strategy makes sense.
Answer:
4 DLLS
Step-by-step explanation:
Answer:
4,046.4 ft^{2}
Step-by-step explanation:
Iron bridge is the first bridge to be ever built
Answer:
(x +2)(2x +1)
Step-by-step explanation:
The factors are the set of tiles down the left side: x + 1 + 1 = (x +2), and the set of tiles across the top: x + x + 1 = (2x +1)
Your factored form is shown in choice D:
(x +2)(2x +1)
_____
<em>Additional comment</em>
The point of this sort of diagram is to show you how the factors work together to give you the product. Each tile in the middle of the figure represents the product of the tile on the top line and the tile in the left column.
The product of x and x is x².
The product of 1 and x is x.
The product of 1 and 1 is 1.
The product of the two factors is the sum of all the tiles in the middle of the diagram: 2x² +5x +2.