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stich3 [128]
2 years ago
15

Research Work:

Mathematics
1 answer:
Vinvika [58]2 years ago
6 0

Step-by-step explanation:

The circumference of a circle is equivalent to its outer boundary. The circumference of a circle is given by :

C=2\pi r.............(1)

r is the radius of circle

It is clear from equation (1) that the circumference of circle is directly proportional to its radius. For example, if the radius of circle is 2 cm, its circumference would be 4\pi.

On increasing the radius i.e. 4 cm, circumference becomes 8\pi.

The relationship between the area and the radius of circle is given by :

A=\pi r^2

r is the radius of circle

Hence, this is the required solution.

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The perimeter of a rectangular pool is 326 M if the length of the pool is 87 M what is its width​
sveta [45]

Half the perimeter is equal to the length plus the width.

326 /2 = 163

Length + width = 163

87 + width = 163

Width = 163 - 87

Width = 76 meters

4 0
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(2+3) Second power-16 divided by2
IgorC [24]

(2+3)^2-16÷2 is equal to 17

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Which equation is made true by the opposite angles theorem?
Oksana_A [137]

Solution

Step 1

The opposite angles of a parallelogram are equal:

Step 2

85\text{ + y  =  3y - 15}

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4 0
1 year ago
The product of two consecutive integers is 5 more than three time the larger. What are the integers?
kvasek [131]
When calculating consecutive integers, the smaller number is x and the larger number is (x + 1).
So the equation you can use is x + (x + 1) = 5 + 3(x + 1)
This is because the sum of the consecutive integers are equal to 5 more than 3 times the larger integer.
Now simplify:
x + (x + 1) = 5 + 3(x + 1)
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2x + 1 = 5 + 3x + 3
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Now isolate the variable:
2x + 1 = 3x + 8
Subtract 2x from both sides:
1 = x + 8
Subtract 8 from both side:
-7 = x
x = -7
So the smaller number is -7 and the larger number is -6.

Now check your answer:
-7 + (-7 + 1) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 - 6 = 5 + 3(-7 + 1)
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This works!

So the integers are -7 and -6.
7 0
3 years ago
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