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Liula [17]
3 years ago
14

Please help image below

Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0

Answer:

56 - 9π

Step-by-step explanation:

To find the area of the shaded region, you must find the area of the rectangle then subtract the area of the circle inside.

Area of the Rectangle: length x width

8*7=56

Area of the circle: πr^2

π*3^2 = 9π

Area of shaded region = 56 - 9π

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Can someone please help me and explain I’ll mark brainliest
malfutka [58]

Part (a)

<h3>Answer:   x = -8</h3>

------------------

Work Shown:

2(x-1) = 3(x+2)

2x-2 = 3x+6 .... distribute

2x = 3x+6+2 .... adding 2 to both sides

2x = 3x+8

2x-3x = 8 .... subtracting 3x from both sides

-x = 8

x = -8 ..... multiply both sides by -1

===========================================================

Part (b)

<h3>Answer:  x = 5/11</h3>

------------------

Work Shown:

-4(2x-2) = 3(x+1)

-8x+8 = 3x+3 ..... distribute

-8x = 3x+3-8 .... subtract 8 from both sides

-8x = 3x-5

-8x-3x = -5 ... subtract 3x from both sides

-11x = -5

x = -5/(-11) .... divide both sides by -11

x = 5/11

In decimal form, this is approximately equal to 5/11 = 0.4545

6 0
3 years ago
I am 24 years old. My age is 2 less than twice my sister's age.
gavmur [86]

Answer: Therefore, the age of my sister is 13 years.

Step-by-step explanation:

Let the age of my sister is x yeas.

Then according to question..

24 = 2x -2

Or, 2x=26

or, x= 26/2

x= 13

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