Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone =
r² +
r
(where r = radius of the base and
= slant height)
Given slant height
= 10 and surface area = 188.5
Surface area =
r² +
r
188.5 =
r² + 10
r
r² + 10
r - 188.5 = 0
r =
= 4.219621117...
Volume of a cone = (1/3)
r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of
using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² =
²
h² =
² - r²
h = √(
² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)
r²√(
² - r²)
Given slant height
= 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)
Answer: 1 1/2
You can write this as 1 & 1/2
The whole part is 1. The fractional part is 1/2
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Explanation:
Let's say we had 18 cookies to hand out to 12 students.
How many cookies does each student get?
Using a calculator shows that 18/12 = 1.5 which means they get one whole cookie each
The leftovers is 18-12 = 6
Then notice how 6/12 = 1/2
So that's how the improper fraction 18/12 becomes the mixed number 1 & 1/2
So each student gets 1 full cookie, plus half a cookie.
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Or we could do the problem like this
18/12 = (12+6)/12
18/12 = (12/12)+(6/12)
18/12 = 1 + (1/2)
18/12 = 1 & 1/2
Answer
jermy
Step-by-step explanation:
Answer:
the number is 2
Step-by-step explanation:
5x2=10+9=19
9. You divide 1620 by 12 then my 15