Unit analysis is a method used to convert from one unit of measure to another. In a unit analysis problem, we place measurements into fraction form, build a product of fractions, and eliminate unwanted units. The steps for performing a unit analysis are as follows: Determine what conversion facts are needed
Answer:
<u>1.28 in³</u>
Step-by-step explanation:
<u>Volume of Amy's cone</u>
- Cone = 1/3πr²h
- Cone = 1/3 x 3.14 x 1² x 6
- Cone = 2 x 3.14 = 6.28 in³
<u>Volume of Don's bowl</u>
<u>Difference</u>
- Amy's cone - Don's bowl
- 6.28 - 5
- <u>1.28 in³</u>
A.
ratio 1 to 1
alright
find the distance between the x values and the y values and seperate each into that ratio
1:1
A to B is (6,12) to (15,-4)
disatnce from 6 to 15 is 9, ratio would be 4.5:4.5=1:1
distance from 12 to -4 is 16, ratio would be 8:8=1:1
so the point would be (4.5,8)
b.
5:2
5+2=7
alright
A to C
(6,12) to (20,12)
distance from 6 to 20 is 14, 14/7=2, 2 times 5=10
distance from 12 to 12=0, so same coordinate
the point is (10,12)
c.
2+3=5
C to B
C is (20,12) and B is (15,-4)
distance from 20 to 15 is 5, so 2 is the x value
distance from 12 to -4 is 16, 16/5 times 2=32/5
the point is (2,32/5)