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3 years ago

IXL: Dilation's: scale factor and classification

Mathematics

1 answer:

Alexandra [31]3 years ago

4 0

Answer:

<em>The dilation is a reduction</em>

Step-by-step explanation:

<u>Dilations</u>

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

A dilation is described by the scale factor or constant of dilation and the center of the dilation.

Most dilations occur across the origin as its center. If the scale factor is greater than one, then the dilation is an enlargement. If the scale factor is less than one, the dilation is a reduction.

Let's focus on the black shape and the purple shape. The question states the purple shape is a dilation of the black shape. Note all the points (and therefore the side lengths) of the purple shape are equivalent to those of the black shape divided by 3.

This gives a scale factor of 1/3. Since it's less than one, the dilation is a reduction

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4 people stacked 40 pizzas . Ronnie stacked 0.25 of the pizzas and Mack stacked 9 outa the 40 and Kim stacked 35% so how many di

saw5 [17]

Answer:

Step-by-step explanation:

No. of pizza Ronnie stacked = 0.25 × 40

= 10

No. of pizza Mack stacked = 9

No. of pizza Kim stacked = $\frac{35}{100}$ × 40

= 14

No. of pizza Ada stacked = 40 - 10 - 9 - 14

= 7

3 0

3 years ago

Read 2 more answers

Find the length of the third side. If necessary, write in simplest radical form.

Mazyrski [523]

Answer:

$\boxed {\boxed {\sf 8}}$

Step-by-step explanation:

This triangle has a small square, which represents a right angle. Therefore, we can use the Pythagorean Theorem.

$a^2+b^2=c^2$

Where <em>a</em> and <em>b </em> are the legs of the triangle and <em>c</em> is the hypotenuse.

In this triangle, 7 and √15 are the legs, because these sides make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle. So, we know two values:

$a= 7 \\b= \sqrt{15}$

Substitute these values into the formula.

$(7)^2+(\sqrt{15})^2=c^2$

Solve the exponents.

(7)²= 7*7=49

$49+ (\sqrt{15})^2=c^2$

(√15)²=√15*√15=15

$49+15=c^2$

Add.

$64=c^2$

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

$\sqrt{64}=\sqrt{c^2} \\\sqrt{64}= c\\8=c$