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lesya692 [45]
3 years ago
8

Solve the following system of equations: 6x - 7y = 2 2x = 3y = -10

Mathematics
1 answer:
Pepsi [2]3 years ago
3 0

Answer:

{7, -2}

Step-by-step explanation:

6x-7y=2

2x+3y= -10

multiply the second  one by -3

6x-7y=2

-6x-9x=30

-16y=32

y= -2

2x - 6 = -10

2x= -4  

x= -2

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a circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle, what is the area of the shaded region
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Answer:

42.43  cm^{2}

Step-by-step explanation:

<u>Given</u>:

A circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle.

Question asked:

What is the area of the shaded region as shown in the figure ?

<u> Solution:</u>

First of all calculate area of circle and then area of rectangle:-

Area\ of\  cirle=\pi r^{2}

                      = =\frac{22}{7} \times5\times5\\ \\ =\frac{550}{7}\\  \\=78.571

As here length an width both are 11 cm, we can say that this is a square.

Area\ of\ square=(Side)^{2}

                          = =11\times11=121\ cm^{2}

                   

<u>Now, area of shaded region = Area of square - Area of circle</u>

                                               = 121 - 78.571 = 42.429 cm^{2}

Therefore, the area of the shaded region will be 42.43  cm^{2}

                                   

Download docx
5 0
3 years ago
One year, the population of a city was 51,000. Several years later it was 61,200. Find
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Hope that helped! :)

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