Problem One
Call the radius of the second can = r
Call the height of the second can = h
Then the radius of the first can = 1/3 r
The height of the first can = 3*h
A1 / A2 = (2*pi*(1/3r)*(3h)] / [2*pi * r * h]
Here's what will cancel. The twos on the right will cancel. The 3 and 1/3 will multiply to one. The 2 r's will cancel. The h's will cancel. Finally, the pis will cancel
Result A1 / A2 = 1/1
The labels will be shaped differently, but they will occupy the same area.
Problem Two
It seems like the writer of the problem put some lids on the new solid that were not implied by the question.
If I understand the problem correctly, looking at it from the top you are sweeping out a circle for the lid on top and bottom, plus the center core of the cylinder.
One lid would be pi r^2 = pi w^2 and so 2 of them would be 2 pi w^2
The region between the lids would be 2 pi r h for the surface area which is 2pi w h
Put the 2 regions together and you get
Area = 2 pi w^2 + 2 pi w h
Answer: Upper left corner <<<<< Answer
Answer:
Not a function
Step-by-step explanation:
For 0 in the domain (input), there are two possible values in the output (range). This goes against the definition of a function, where every element in the domain must have only one value in the range.
Hope this helps!
Answer:
W = 9.33 grams
X = 4.67 grams
Step-by-step explanation:
Given;
Mass of Z to be made = 14 grams
Composition of Z
W:X:Y = 2:1:3
To make 6 grams of Y requires 4 grams of W and 2 grams of X
Composition of Y (for 6grams)
W:X = 4:2 = 2:1
Substituting the composition of Y to Z
Z = W:X:Y = 2:1:3
Z = W:X:W:X = 2:1:2:1
summing them up, we have;
Z = W:X = 4:2 = 2:1
Since the final mixing ratio for W and X are 2:1, to make 14 grams of Z, we need;
W = 2/3 × 14grams = 28/3 grams
W = 9.33 grams
X = 1/3 × 14grams = 14/3 grams
X = 4.67 grams
Answer:
Daniels agent made $40.
Daniel and the agent made a total of $160 from the show.
Step-by-step explanation:
Given:
Let the total amount made from the show = x
Daniel's agent made = 25% of x
Daniel made = $120
From the question, we know that the total amount is the sume of what daniel and the agent took.
So,
x = 120 + 25% of x
x-0.25x = 120
0.75x = 120
x = 160.
Hence the total amount made from the show is $120.
Daniel's agent made = 25 % of 160
= 0.25*160
= 40
Hence, Daniel's agent made $40 from the show.