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2 years ago

12

You have 13 different books at home that you can read. You want to pick 2 to read and you don't care about what order you read t

hem. How many different combinations can you read 2 books out of 12?

1 answer:

alexandr402 [8]2 years ago

4 0

I think the answer would be 9

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The diagram shows two nested triangles that share a vertex.Find a center and a scale factor for a dilation that would move the l

nasty-shy [4]

Transformation that changes the size of a shape is referred to as dilation.

The scale factor that moves the large triangle to the small one is 1/5
The center of dilation is: (-1,1)

<u>The center of dilation</u>

From the diagram (see attachment), the triangles share a common vertex at (-1,1)

This means that, the center of dilation is (-1,1)

<u>The scale factor of dilation</u>

To do this, we divide the side length of the small triangle with the corresponding side of the large triangle.

From the attached image:

$\mathbf{Base\ of\ small\ triangle = 1}$

$\mathbf{Base\ of\ large\ triangle = 5}$

So, the scale factor (k) from large to small is:

$\mathbf{k = \frac{Base\ of\ small\ triangle}{Base\ of\ large\ triangle} }$

$\mathbf{k = \frac{1}{5} }$

Read more about dilation at:

brainly.com/question/13176891

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2 years ago

Find the Volume. Use pi=3.14. Round to the nearest hundredth.

aleksandr82 [10.1K]

<h2>Volume = 4.19 inches³</h2>

<u>Step-by-step explanation:</u>

radius = 1 inches

π = 3.14

volume of SPHERE = 4/3 × π × radius³

= 4/3 × 3.14 × 1³

= 4.19 inches³

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3 years ago

Expand and simplify (x-7)(x+3)

velikii [3]

X(x+3)-7(x+3)
x2+3x-7x-21
x^2-4x-21

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3 years ago

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A farmer fills his field proportionately with soybeans and corn. Last year he planted 200 acres of corn and 50 acres of soybeans

malfutka [58]

Answer:

Part A) Is a directly proportional

Part B) The constant of proportionality is $k=0.25$

Part C) The equation is $y=0.25x$

Part D) $62.5$ acres of soybeans

Step-by-step explanation:

Part A) Are the number of acres of corn and the number of acres of soybeans directly proportional or inversely proportional?

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$

Let

x-----> the number of acres of corn

y----> the number of acres of soybeans

so

$y/x=k$

if the number of acres of corn increases then the number of acres of soybeans increases

if the number of acres of corn decreases then the number of acres of soybeans decreases

therefore

The relationship is a directly proportional

Part B) What is the constant of proportionality?

we have that

For x=200, y=50

substitute

$y/x=k$

$k=50/200$

$k=0.25$

Part C) Let x equal the number of acres of corn and y equal the number of acres of soybeans. Write an equation to show this relationship.

The linear equation that represent the direct variation is equal to

$y/x=k$

we have

$k=0.25$

substitute

$y/x=0.25$

$y=0.25x$

Part D) How many acres of soybeans can the farmer plant this year if he plants 250 acres of corn?

For x=250

Find the value of y

substitute in the linear equation the value of x and solve for y

$y=0.25(250)=62.5$ -----> acres of soybeans

7 0

2 years ago

What is the m GE bisects Find m

nirvana33 [79]

Answer:

DGF = 106

Step-by-step explanation:

Bisects means to divide in half, with two equal parts

DGF = DGE + EGF

DGE = EGF

DGF = DGE + DGE

DGF = 53+53

DGF = 106

8 0

2 years ago

Read 2 more answers