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2 years ago

Use the scale factor to find the area of the enlarged figure. Explain your steps.

Mathematics

2 answers:

Travka [436]2 years ago

6 0

Answer:

The scale factor of the enlargement is 3.2. Square the scale factor to get 10.24. Find the area of the original figure, which is 32. Multiply 32 and 10.24 to get the area of the enlarged figure, which is 327.68.

Step-by-step explanation:

This is the sample response but I would use the other pearsons answer because it is NOT the sample response.

Have a great day!

Amanda [17]2 years ago

5 0

9514 1404 393

Answer:

327.68 units^2

Step-by-step explanation:

The area of the small figure is ...

area = length · width

area = (8)(4) = 32 . . . . square units

The scale factor is ...

scale factor = large length / small length = 25.6/8 = 3.2

The area of the larger rectangle will be the small rectangle area multiplied by the square of the scale factor:

(32 units^2)(3.2^2) = 327.68 units^2

_____

Additional comment

We note the width is half the length, so we could figure the larger rectangle's width at 25.6/2 = 12.8 units. Then its area would be

length · width = (25.6 units)(12.8 units) = 327.68 units^2

This seems easier to me, but is not the method required by the problem statement.

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faust18 [17]

No thanks. Thanks for the point

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3 years ago

Read 2 more answers

On the unit circle, which of the following angles has the terminal point coordinates (√2/2,-√2/2)

aleksandr82 [10.1K]

Answer:

Option B

Step-by-step explanation:

A unit circle means radius of the circle = 1 unit

Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.

Center of the circle is origin (0, 0).

Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) = $(\frac{\sqrt{2} }{2},-\frac{\sqrt{2} }{2})$

OP.Cosθ = 1×Cosθ = $\frac{1}{\sqrt{2}}$

Cosθ = $\frac{1}{\sqrt{2}}$

θ = $\frac{\pi }{4}+2\pi n$ , $\frac{7\pi }{4}+2\pi n$ where n = integers

Similarly, OP×Sinθ = 1×Sinθ = - $\frac{1}{\sqrt{2}}$

Sinθ = - $\frac{1}{\sqrt{2} }$

θ = $\frac{5\pi }{4}+2\pi n$ , $\frac{7\pi }{4}+2\pi n$ where n = integer

Common value of θ will be, θ = $\frac{7\pi }{4}$

Option B will be the answer.

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2 years ago

Please help me on this problem

nevsk [136]

a cause their really isnt any ADEF like in letters

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2 years ago

Original price 65.00; Markdown: 12%

Murrr4er [49]

Muliply 65 and 0.12 and get 7.8

Subtract 65-7.8 to get marked down price

57.2 is the price after markdown

6 0

3 years ago

Someone help me asap pls

Makovka662 [10]

Answer:

For the graph in the top-left corner, the ?? = 0.25

This can be found using a simple slope equation:

m = (y2-y1)/(x2-x1)

m = slope

You take two coordinates, in this case (8, 2) and (4, 1), label one as #1 and the other as #2, and plug in the values so:

slope = (2-1)/(8-4)

slope = 1/4 or 0.25

The equation of a line is y = mx + b and if you were to place 0.25, or 1/4, in place of m (the slope) and 1 in the place of x since it is the x value, and multiply, you would end up with 0.25.

This also gives you the answer to your next two questions.

The one in the top-right corner is $0.25 per pencil.

The answer to the question just below it is y = 0.25x.

b in the equation would equal 0 since b is the y-intercept (where the line crosses the y-axis)

As for the last one, you simply have to multiply 30 by each number in the left column since you already know 30 miles are travelled in 1 hour, giving you your rate or the equation of the line, y=x.

The missing values of the table are as follows:

0, 60, 150, 240, 330, 1470

Finally, the last box:

Miles = 30 * hours

y = 30x

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3 years ago