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zvonat [6]
3 years ago
8

A circle is inscribed in a square. The area of the circle is 507 square inches. What is the length of each side of the square? U

se 3 for pi.
Mathematics
1 answer:
Lena [83]3 years ago
6 0

Answer:

26 inches

Step-by-step explanation:

We are given;

  • An inscribed circle whose area is 407 square inches
  • In this case, we need to know that an inscribed in a square touches the four sides of the triangle.
  • Therefore, the diameter of the circle is equivalent to the side of the square.

We are given the area as 507 square inches

But;

Area of the circle = pi × r²

Thus we can get the radius of the circle;

Thus;

507 in² = 3 × r²

r² = (507 ÷ 3)

   = 169

r =√169

  = 13 inches

But, Diameter = 2 r

Thus; Diameter = 2 × 13

                        = 26 inches

But, in this case, diameter = side of the square

Therefore, the side of the square is 26 inches

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Answer:

Step-by-step explanation:

Solution by substitution method

3x-4y=8

and 18x-5y=10

Suppose,

3x-4y=8→(1)

and 18x-5y=10→(2)

Taking equation (1), we have

3x-4y=8

⇒3x=4y+8

⇒x=( 4y+8)/ 3  →(3)

Putting x= (4y+8 )/3  in equation (2), we get

18x-5y=10

18( (4y+8) /3)  -5y=10

⇒24y+48-5y=10

⇒19y+48=10

⇒19y=10-48

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⇒y=- 38 /19

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Now, Putting y=-2 in equation (3), we get

x=4y+8

x= (4(-2)+8) /3

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⇒x=0

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5 0
2 years ago
Pls help for number 6
Vlad1618 [11]
A: 45x + 30y = 1350
Since we don’t know how many adults and children are in the group, we use x and y

b: x-intercept= 30 y-intercept=45
To find the x-intercept you need to isolate the variable. 45x/45 = x
Then you do the same thing to the other side. 1350/45 = 30
So x=30
Same thing with the y-intercept.
30y/30 = y 1350/30 = 45
y=45 (Not really sure what it means by “what they represent” but I thinks it’s that there are 30 adult tickets and 45 children tickets )

c: so our points are (30,0) and (0,45) so you would graph that.
To find how many children tickets were bought if there were 20 adult tickets just look at the photo I put. I don’t know how to explain this.


Hope this helps

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2 years ago
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Would it be 2.5??? I think it would but not completely sure

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Answer:

If 1/2 gallon covers 540 square feet, then 1 gallon will cover 1080 square feet.

Step-by-step explanation:

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3 years ago
When all the variables cancel out in an equation, how do you know if there are no solutions or infinite solutions?
Ivahew [28]
If a number equals the same number, there are infinite solutions
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If a number equals a different number, there are no solutions
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4 0
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