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valina [46]
3 years ago
6

The radius of circle is 6.5 centimetres. Asquare has the same are as this circle. The length of each side of square , in centime

tre is?
Mathematics
1 answer:
iris [78.8K]3 years ago
5 0
Since the square has the same area as the circle, it might help
if we look at the area of the circle first.

The area of any circle is      Area = (pi) x (radius)² .

Leave it in that form for just a second .  (Oh, this is going to be so easy . . .)

The area of a square is  (length of a side)² .

The problem says that the areas are equal.  So . . .

(length of each side)² = (pi) x (radius)²

Take the square root of each side of the equation:

Length of each side of the square = (radius of the circle) times ( √pi )

Length of each side = (6.5 centimeters) times ( √pi ) = <u>11.52 centimeters</u> (rounded)


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How many 2/3 cup servings are there in 6 cups of fruit
scoray [572]

Answer:

9 cups

Step-by-step explanation:

6 ÷ 2/3

6/1 ÷ 2/3

6/1 x 3/2 = 18/2 = 9/1 = 9

3 0
3 years ago
Which is the graph of -5h + 3 &lt; -7?
11Alexandr11 [23.1K]

Answer:

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6 0
3 years ago
Does the system have one solution, no solution, or infinitely many? Use your substitution to justify your answer
Taya2010 [7]

Answer: It has one solution. The solution is (x,y) = (-4,-3)

Add up the equations doing so straight down

x + -x = 0x = 0 so the x terms go away

2y + 2y = 4y

-10 + (-2) = -12

We end up with 4y = -12 so y = -3 after you divide both sides by 4. Use this y value to find the value of x

x+2y = -10

x + 2(-3) = -10

x - 6 = -10

x = -10+6

x = -4

The single solution is (x,y) = (-4,-3)

As a check, plug this solution into each equation to see if you get a true statement or not. Let's do so with the first equation

x+2y = -10

-4 + 2(-3) = -10

-4 - 6 = -10

-10 = -10 .... true

and then the second equation

-x+2y = -2

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

4 - 6 = -2

-2 = -2 .... true

both equations are true, so the solution is confirmed

4 0
3 years ago
Find two consecutive positive integers such that the sum of their squares is 421 .
maria [59]
We assume the two numbers are x and (x+1)
so x^2+(x+1)^2=421
x^2+(x^2+2x+1)=421
2x^2+2x-420=0
According to the formula of quadratic 
x=14 or-15
cuz we know the two numbers are integers
so x=14
therefore the other number is 15
To make sure that's correct
14^2+15^2=421

Hope that helps you!!


4 0
3 years ago
If mZOKL = 80°, then what is mZHKJ?<br> С<br> E<br> А4<br> N<br> H<br> K<br> M
Nookie1986 [14]
MOKL and mHKJ are vertical angles, so they’re congruent
so mHKJ is also 80°
5 0
3 years ago
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