Answer:
(D) -0.2
Step-by-step explanation:
slope = 7-5 / 15 - 25
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 trees and 76 acorns.
Step-by-step explanation:
Let the amount of trees be x.

There are 4 trees, and there are
acorns or 76 acorns.
Hope you have a nice day, and also you should mark brainliest :)
Answer:
The height is 11/2
Step-by-step explanation:
We know SA = 30n
and r = 2
We are solving for h. So plug in our values
30n = 2n(2)^2 + 2n(2)h
Multiply and square on the right side terms
30n = 8n + 4nh
Divide everything by n
30 = 8 + 4h
Subtract 8 on both sides
22 = 4h
Divide by 4 on both sides
h = 22/4 = 11/2
Check:
30n = 2n(2)^2 + 2n(2)(11/2)
30n = 8n + 22n
30n = 30n