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2 years ago

circle b is a transformation of circle a. describe the transformation that shows why circle a is similar to circle b

Mathematics

2 answers:

Mars2501 [29]2 years ago

6 0

Answer:

Step-by-step explanation:

notsponge [240]2 years ago

6 0

Answer:

Option 1 is you answer

Step-by-step explanation:

iReady approved!!!!

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A box with a square base and open top must have a volume of 296352 c m 3 . We wish to find the dimensions of the box that minimi

mestny [16]

Answer:

Base Length of 84cm
Height of 42 cm.

Step-by-step explanation:

Given a box with a square base and an open top which must have a volume of 296352 cubic centimetre. We want to minimize the amount of material used.

Step 1:

Let the side length of the base =x

Let the height of the box =h

Since the box has a square base

Volume, $V=x^2h=296352$

$h=\dfrac{296352}{x^2}$

Surface Area of the box = Base Area + Area of 4 sides

$A(x,h)=x^2+4xh\\$Substitute h=\dfrac{296352}{x^2}\\A(x)=x^2+4x\left(\dfrac{296352}{x^2}\right)\\A(x)=\dfrac{x^3+1185408}{x}$

Step 2: Find the derivative of A(x)

$If\:A(x)=\dfrac{x^3+1185408}{x}\\A'(x)=\dfrac{2x^3-1185408}{x^2}$

Step 3: Set A'(x)=0 and solve for x

$A'(x)=\dfrac{2x^3-1185408}{x^2}=0\\2x^3-1185408=0\\2x^3=1185408\\$Divide both sides by 2\\x^3=592704\\$Take the cube root of both sides\\x=\sqrt[3]{592704}\\x=84$

Step 4: Verify that x=84 is a minimum value

We use the second derivative test

$A''(x)=\dfrac{2x^3+2370816}{x^3}\\$When x=84$\\A''(x)=6$

Since the second derivative is positive at x=84, then it is a minimum point.

Recall:

$h=\dfrac{296352}{x^2}=\dfrac{296352}{84^2}=42$

Therefore, the dimensions that minimizes the box surface area are:

Base Length of 84cm
Height of 42 cm.

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3 years ago

Select the end behavior of the exponential function shown in the graph

Ber [7]

Answer:

The x graph

Step-by-step explanation:

The x graph

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3 years ago

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Each school bus going on the field trip holds 36 students and 4 adults.There are 6 filled buses on the field trip.How many peopl

Dvinal [7]

Hello there

36+4=40 people in one bus

In 6 buses how many people?

40•6=240 people are going on the field trip

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3 years ago

Juan and his friends played a game in which sticky darts were thrown onto a playing board. To start the game, Juan threw a dart

evablogger [386]

Answer:

8 points: unlikely

16 points: impossible

more than 0 points: likely

Step-by-step explanation:

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A figure in the first quadrant is rotated 180° counterclockwise about the origin. In which quadrant will the rotated figure appe

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It will be in the 3rd quadrant.

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