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Blizzard [7]
3 years ago
8

Guys I need help pleeeaassee i'm trying to graduate! Find the area of the shaded portion in the square. (assuming the central po

int of each arc is the corresponding corner)

Mathematics
1 answer:
Licemer1 [7]3 years ago
6 0
Area of the square = (side)*(side)
Area of the square = (2)*(2)
Area of the square = 4 

Area of the quarter circle = (area of full circle)/4
Area of the quarter circle = (pi*r^2)/4
Area of the quarter circle = (pi*1^2)/4
Area of the quarter circle = (1/4)*pi

The top shaded region is found by taking the area of the square and subtracting off the area of the quarter circle, so we get,

top shaded region area = (area of square) - (area of quarter circle)
top shaded region area = (4) - (1/4pi)

The two shaded regions are congruent so we can double the area of the top region to get the total overall area. 

Total shaded area = 2*(top shaded region area)
Total shaded area = 2*(4 - pi/4)
Total shaded area = 8 - pi/2
Total shaded area = 8 - (1/2)pi

Therefore, the final answer is 8 -  \frac{1}{2}\pi

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Multiplying or dividing two related quantities by the same number is called scaling
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River C is 400 miles longer than River D. If the sum of their lengths is 5 comma 520 ​miles, what is the length of each​ river?
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If the sum of their lengths is 5,520 miles then River D is 2360 and River C is 3160
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3 years ago
Find the nth term of the arithmetic sequences<br> a1=5,d=6,n=11
ki77a [65]

here's the solution,

  • n = 11
  • a = 5 ( a = first term )
  • d = 6 ( d = common difference )

we know,

=》

nth  \: \: term \:  = a   \: + (n - 1) \times d

=》

11th \:  \: term   = 5 + (11 - 1) \times 6

=》

11th \:  \: term = 5 + (10 \times 6)

=》

11th \:  \: term  = 5 + 60

=》

11th \:  \: term = 65

nth term ( 11th term ) = 65

3 0
3 years ago
2. what value of b makes the following equation true
Svetradugi [14.3K]

Answer:

  2. 10

  3. D.  1 for all n

Step-by-step explanation:

2. The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^b = 1/a^-b

__

  \dfrac{4^8}{(4^2)^{-3}}\div 4^4=\dfrac{4^8}{4^{-6}\cdot4^4}=\dfrac{4^8}{4^{-2}}\\\\=4^8\cdot4^2=4^{10}

The value of n is 10.

__

3. Using the above rules of exponents, the expression simplifies to ...

  6^(-n+n) = 6^0 = 1

The value is 1 for any n.

4 0
2 years ago
Solve for x.<br><br> −5(x−4)=−30<br><br> Enter your answer in the box.
saveliy_v [14]
First divide both sides by - 5,

x - 4 = 6

Move the constant to the right side of the equation and change its sign (-4 => +4)

x = 6 + 4

Add the numbers,

x = 10

~~
I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey
6 0
2 years ago
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