Answer:
64 : 27
Step-by-step explanation:
Given 2 similar figures with
ratio of lengths = a : b, then
ratio of volumes = a³ : b³
For 2 cylinders with ratio of lengths = 4 : 3, then
ratio of volumes = 4³ : 3³ = 64 : 27
Answer:
Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.
Step-by-step explanation:
Papaya rosette pieces on first day = 5890
Papaya rosette Pieces on second day = 7020
Papaya rosette Pieces of third day = 8150
Let

We can check if these numbers are part of a sequence.
In order to check, common difference will be found first.

It can be observed that the common difference is same. When the common difference is same, the sequence is said to be an arithmetic sequence.
The formula for arithmetic sequence is given by:

Putting the values

The formula for nth term can be used to find any term. As we have to find the number of papaya rosette pieces after two weeks which means that we need to find the number of pieces on 14th day.
So,

Hence,
Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.
First you multiply 3 x 1000 which is 3,000. Then you too 2 x 100 which is 200. Lastly you subtract 3000 from 200 and you get 2800.
M = y2-y1/x2-x1
m = 7- (-2)/ -6-(-7)
m = 9/1
slope = 9
Let x be the width of the cardboard (which means the length of the cardboard is x+88), then the dimensions of the box are:
Length = [(x + 88) - 2(33)]
Width = x - 2(33)
Heighth = 33
Volume = length · width · heighth
144,144 = [(x + 88) - 2(33)] · [x - 2(33)] · 33
144,144 = (x+22)(x-66)(33)
4368 = (x+22)(x-66)
4368 = x² - 44x - 1452
0 = x² - 44x - 5820
use the quadratic formula to calculate that x = 101
Answer: cardboard width = 101, cardboard length = 189