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vagabundo [1.1K]
3 years ago
15

Which image that would portray the rotation of the given preimage and the rotation arrow.

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
5 0

Answer:

First figure as shown below is the correct option.

Step-by-step explanation:

We are given that,

The pre-image is rotated in the direction of the arrow to form an image.

It is required to find the image formed.

Since, the arrow is rotating counter-clockwise, we get that,

The star in the pre-image will rotate upwards towards the left.

So, according to the options, we have,

<em>The first image where the star is at the highest height will be the image after rotating the pre-image.</em>

Hence, the first figure as shown below is the correct option.

Brut [27]3 years ago
4 0
Is the arrow the length of the rotation? 90 degrees? if so, the second picture is, with the star at the highest point of the other pictures.
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A company manufactures keyboards for desktop and laptop computers. The desktop keyboard contains 105 keys and the laptop keyboar
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The company can produce 20 desktop keyboards and 10 laptop keyboards

Step-by-step explanation:

A company manufactures keyboards for desktop and laptop computers

  • The desktop keyboard contains 105 keys
  • The laptop keyboard has 90 keys
  • The company has 3000 keys
  • The company needs to produce twice as many desktop keyboards as laptop keyboards

We need to find how much of each type the company can produce

Assume that the company can produce x desktop keyboards and

y laptop keyboards

∵ The company can produce x desktop keyboards

∵ company can produce y laptop keyboards

∵ The desktop keyboard contains 105 keys

∵ The laptop keyboard has 90 keys

∵ The company has 3000 keys

- Write an equation to represent the total keys

∴ 105 x + 90 y = 3000 ⇒ (1)

∵ The company needs to produce twice as many desktop keyboards

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∴ x = 2 y ⇒ (2)

Substitute x in equation (1) by equation (2)

∵ 105(2 y) + 90 y = 3000

∴ 210 y + 90 y = 3000

∴ 300 y = 3000

- Divide both sides by 300

∴ y = 10

∴ The company can produce 10 laptop keyboards

Substitute the value of y in equation (2) to find the value of x

∵ x = 2(10)

∴ x = 20

∴ The company can produce 20 desktop keyboards

The company can produce 20 desktop keyboards and 10 laptop keyboards

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

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