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3 years ago

Which must be true of a scale factor of a dilation if the image is smaller than the original figure?

Mathematics

1 answer:

butalik [34]3 years ago

6 0

Answer:

the scale factor k is between 0 and 1

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

A dilation with the larger image than initial figure is called an enlargement.

A dilation that the smaller image than initial figure is called a reduction.

If the scale factor k is greater than 1, the image is an enlargement
If the scale factor k is between 0 and 1, the image is a reduction
If the scale factor k = 1, the figure and the image are congruent

Thus, if the image is smaller than the original figure, then the scale factor k is between 0 and 1.

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sergij07 [2.7K]

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2 years ago

Please help me with this geometry problem

Natalka [10]

You're looking for the volume of the prism. The dead giveaway there is that you're looking for "cubic" measurement. Cubic measures are indicators that the volume is being determined, just like "square feet" or inches, etc indicates area is being determined. The volume for this prism is found by multiplying the length times the width times the height. In decimal form, 45×30×40=54,000. But that is in cubic inches and we want cubic feet. So we will use dimensional analysis to convert that. Setting up the DA looks like this, keeping in mind that there are 12 cubic inches in 1 cubic foot: $54,000in^3* \frac{1ft*1ft*1ft}{12in*12in*12in}$ . The label of cubic inches cancels out leaving us with cubic feet, and doing the division there gives us 54,000/(12*12*12) which is 31.25 cubic feet.

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3 years ago

Which statement describe a polygon best ?

Bezzdna [24]

I believe that the best answer among the choices provided by the question is <span>2) figure that has 3 or more unequal length sides.</span>
Hope my answer would be a great help for you. If you have more questions feel free to ask here at Brainly.

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3 years ago

A right prism has a triangular base. The length of the base is 6 meters and the height of the base is 4 meters. The height of th

NNADVOKAT [17]

The volume of this right prism that has a triangular base is equal to 108 cubic meters.

<h3>The volume of a right prism.</h3>

Mathematically, the volume of a right prism is given by this formula:

V = L x W x H

<u>Where:</u>

L is the length.

W is the width.

H is the height.

V is the volume.

<u>Given the following data:</u>

Length of base = 6 meters.

Width of base = 4 meters. cm.

Height of prism = 4.5 meters.

Substituting the given parameters into the formula, we have;

V = 6 x 4 x 5

V = 108 cubic meters.

Read more on volume of prism here: brainly.com/question/3867601

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2 years ago

What is the inverse of the given relation? Y=7x^2+4

EleoNora [17]

follow these steps:

1) y-4=7x^2

2) (y-4)/7 = x^2

$x = \sqrt{ \frac{y - 4}{7} }$

so you must inverse x and y names:

${f}^{ - 1} (x) = \sqrt{ \frac{x - 4}{7} }$

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3 years ago