Answer:
a) 
b) 
c) 
Step-by-step explanation:
a)
For a cone,

where L = slant height

We have r = 8 cm; h = 10 cm




b)



c)

empty space = volume of cylinder - volume of cone




Multiply the first equation by 2:
4x+10y=8
Subtract the second equation from this so the 4x cancels:
3y = -3
y = -1
Plug into first equation:
2x -5 = 4
2x = 9
x = 9/2 = 4 1/2 = 4.5
So (x,y) = (-1,4.5)
Answer:
The sum of the first five classroom numbers in a row is 5k + 20
Step-by-step explanation:
Since the smallest classroom number on the side of the building is numbered k and each consecutive odd integer is separated by a difference of
2.
Therefore:
k is the first class room.
k + 2 is the second class room.
k + 4 is the third class room.
k + 6 is the third class room.
k + 8 is the fifth class room.
The sum of the five consecutive class rooms are given as:
k + (k + 2) + (k + 4) + (k + 6) + (k + 8)
collecting alike terms we get
= k + k + k + k + k + 2 + 4 + 6 + 8
= 5k + 20
Therefore, The sum of the first five classroom numbers in a row is 5k + 20.
8(3 y+2)
Step-by-step explanation:
To apply the distributive property you need to use parentheses and multiply outside numbers with inside numbers or terms
24 y+16
8(3 y+2)
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Distributive Property:brainly.com/question/11916234
Keywords: equivalent expression, distributive property
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