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anzhelika [568]
4 years ago
10

Lin is 7 years younger than Adrian,

Mathematics
1 answer:
jeka944 years ago
5 0

Answer: Age of Lin is 12

Solution:

Let X= age of Maya

(X/2)+4= age of Adrian

((X/2)+4)-7= age of Lin

X+(X/2)+4+((X/2)+4-7)=61

X+.5X+4+.5X+4-7=61

2X+4+4-7=61

2x=61-8+7

2X=60

X=30 age of Maya

19= age of Adrian

Age of Lin is

=((X/2)+4)-7

=15+4-7

=12

To check if this is correct

<span>30+19+12=61</span>

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Mai wants to make a scale drawing of her kitchen. Her kitchen is a rectangle with length 6 m and width 2 m. She decides on a sca
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Answer:

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Width of scale = 5 cm

Step-by-step explanation:

Dimensions of the kitchen of Mai are given as:

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Width of kitchen = 2 m

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To find:

The drawing with labeling and dimensions of the scale drawing.

Solution:

First of all, let us understand about the concept of scaling.

Scaling is a method to represent big structures on paper.

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Here, the scale factor used is 1 to 40.

i.e. 1 unit on scale is equivalent to 40 units on the actual kitchen.

40 units of kitchen = 1 unit of scale

1 unit of kitchen = \frac{1}{40} units of scale

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Length of scale = <em>15 cm</em>

40 units of kitchen = 1 unit of scale

1 unit of kitchen = \frac{1}{40} units of scale

2 m of kitchen = \frac{1}{40}\times 2\ m = \frac{200}{40}\ cm = 5\ cm

Width of scale = <em>5 cm</em>

<em></em>

Please refer to the attached image as well for representation of given scale.

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Step-by-step explanation:

* Lets explain how to solve the problem

∵ cos Ф = - 8/17

∵ Ф lies in the 3rd quadrant

- In the 3rd quadrant sin and cos are negative values, but tan is

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∵ sin²Ф + cos²Ф = 1

∴ sin²Ф + (-8/17)² = 1

∴ sin²Ф + 64/289 = 1

- Subtract 64/289 from both sides

∴ sin²Ф = 225/289 ⇒ take √ for both sides

∴ sin Ф = ± 15/17

∵ Ф lies in the 3rd quadrant

∴ sin Ф = -15/17

∵ cos 2Ф = 2cos²Ф - 1 ⇒ the rule of the double angle

∵ cos Ф = - 8/17

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* cos 2Ф = - 161/289

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3 years ago
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alexgriva [62]

Answer:

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Step-by-step explanation:

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