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jasenka [17]
2 years ago
14

A chocolate manufacturer packages chocolate bars in cardboard prisms whose bases are equilateral triangles. Each base measures 3

cm on a side. If the container is 18 cm long, how many cubic centimeters of chocolate will it hold?
Mathematics
1 answer:
Allisa [31]2 years ago
3 0

Answer:

The container will hold 70.14 cubic cm of chocolate.

Step-by-step explanation:

The base of the prisms are equilateral triangles.

Each base measures 3 cm on a side.

The length of the container = 18 cm

Area of the equilateral triangle is given by :

\frac{\sqrt{3}}{4} \times a^{2}

a = 3 so area = \frac{\sqrt{3}}{4} \times9 = 3.897 cm square

And volume will be 3.897\times18=70.14 cubic cm.

So, the container will hold 70.14 cubic cm of chocolate.

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Answer:

(Warning) Not sure this is completley correct but this is just what I did.

Part A

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It does show a function because it passes the vertical line test (no two points have the same x value).

Part B

Is the relationship for Amit’s puppy’s weight in terms of time linear or nonlinear? Explain your response.

Nonlinear because the line isn’t straight

Part C

Is the relationship between Amit’s puppy’s weight in terms of time increasing or decreasing? Explain your response.

Increasing because it is gaining weight

Part D

Does the data for Camille’s puppy show a function? Why or why not?

Yes, it does, because each input value has a unique output value

Part E

Is the relationship for Camille’s puppy’s weight in terms of time linear or nonlinear? Explain your response.

It is a linear function because the line has no curve, and the line is constant.

Part F

Is the relationship between Camille’s puppy’s weight in terms of time increasing or decreasing? Explain your response.

Increasing because as the puppy gets older it gains weight.

Part G

Does the data for Olivia’s puppy show a function? Why or why not?

Yes, it does, because each input value has a unique output value. The graph attached ( which shows the data for Camille’s puppy), that each x-value (Weeks) has a unique y-value (Weight in pounds).

Therefore, based on this and keeping in mind the explanation before, you can conclude that the data for Camille’s puppy shows a function.

Part H

Is the relationship for Olivia’s puppy’s weight in terms of time linear or nonlinear? Explain your response

Yes, it linear because it’s a straight line.

Part I

Is the relationship for Olivia’s puppy’s weight in terms of time increasing or decreasing? Explain your response. Increasing. For every week that goes by, Olivia's puppy is gaining one pound. 6-5= 1  14-13= 1. Gaining a pound every week makes the puppy’s weight increase.

Part J

Which two relationships have a y-intercept and a constant rate of change?

They all have y-intercepts and only Olivia and camilles have a constant rate of change.

Part A

To compare the linear functions, you first need to find their equations. For each of the linear functions, write an equation to represent the puppy’s weight in terms of the number of weeks since the person got the puppy.

Linear equation, y=mx+b

Exponential equation, y=a(b)×

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Now you can compare the functions. In each equation, what do the slope and y-intercept represent in terms of the situation?

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Part C

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Whose puppy gained weight the slowest? How much did it gain per week?

Olivia’s puppy gained weight the slowest because it started off with more weight but only gained around 1 pound every week.

Part E

You can also graph the functions to compare them. Using the Edmentum Graphing Tool, graph the two linear functions. Paste a screenshot of the two functions in the space provided. How could you find which puppy had a greater initial weight from the graph? How could you find which puppy gained weight the slowest?

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Step-by-step explanation:

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Step-by-step explanation:

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