Answer:
C
Step-by-step explanation:
The cakes which overlap are the small and middle & the middle and large. The total area of overlap for these cakes will be the surface of the smallest layer's base plus the surface of the middle layer's base.
We can find the area by where r is radius which is half the diameter.
Smallest cake - D=7.5, so r=3.75
=10.5625 × π = 33.1830724035 or 33.2
Middle Cake - D=10, so r=5.
=25 × π = 78.5398163397=78.5
We add together 33.2+78.5= 111.7 cm squared
C is the closest.
Answer: f^{-1}(x) = 3-x/3
Step-by-step explanation: Let y = f(x) and rearrange making x the subject, that is...
1. y = - 3x + 3 ( add 3x to both sides )
2. 3x + y = 3 ( subtract y from both sides )
3. 3x = 3 - y ( divide both sides by 3 )
4. x = 3-y/3
Change x back into terms of y
f^{-1}(x) = 3-x/3
Answer: cost of 1 pot of ivy = $12
Cost of 1 rose bush =$ 10
Step-by-step explanation:
Step 1
Let rose bushes be represented as r
and pot of ivy be represented as p
such that Amy who spent 82 dollars on 7 rose bushes and 1 pot of ivy can be expressed as
7 r + p = 82----- eqn 1
Rob who spent 74 on 5 rose bushes and 2 pots of ivy can be expressed as
5r +2 p = 74----- eqn 2
Step 2
Solving
7 r + p = 82----- eqn 1
5r +2 p = 74----- eqn 2
By elimination method Multiply eqn 1 by 5 and eqn 2 by 7
35r+ 5p= 410--- eqn 3
35r+ 14p =518--- eqn 4
Subtracting eqn 4 from eqn 3
9p = 108
p = 108/9
p=12
p = pot of ivy = $12
therefore rose bush wll be ( from equation 1)
7r+ p= 82
7r=82-12
7r= 70 r= 70/7
r= rose bush =$ 10
5/50=n/110
Do the cross product.
50*n=5(110)
50n=550
n=550/50
n=11
Answer: n=11.