The circumference of the circular paper plate is given by the equation
C = 28.27 inches
What is a Circle?
A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The perimeter of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle
Given data ,
Let the circumference of the circle be represented as C
Now , the value of C is
The diameter of the circle d = 9 inches
Let the radius of the circle be r
And r = d/2
The value of r = 4.5 inches
And , the circumference of the circle C = 2πr
Substituting the values in the equation , we get
The circumference of the circle C = 2 x π x 4.5
On simplifying the equation , we get
The circumference of the circle C = 9 x π
The circumference of the circle C = 28.27 inches
Therefore , the value of C is 28.27 inches
Hence , the circumference of the circle is 28.27 inches
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Answer:
No, G.C.F. of pair of numbers can never be greater than both numbers.
Step-by-step explanation:
G.C.F. (Greatest Common Factor) of pair of numbers is defined as the greatest factor of both the number that exactly divides both numbers.
For Example: G.C.F. of 14 and 21 =
36 = 2 × 2 × 3 × 3
48 = 2 × 2 × 2 × 2 × 3
Common Factors of 36 and 48 = 2 × 2 × 3 = 12
∴ G.C.F. = 12
As, we see that G.C.F. is factor of given number. So, it can never be greater than given numbers.
Write a system of equations and determine how
many of each item she purchased.
("Einstein" letters)
Sarah bought 3 bracelets and 2 pairs of sunglasses.
Step-by-step explanation:
Total items bought = 5 items
Total spent = $24
Cost of one bracelet = $5
Cost of pair of sunglasses = $4.50
Let,
x be the number of bracelet bought.
y be the number of sunglasses bought.
According to given statement;
x+y=5 Eqn 1
5x+4.50y=24 Eqn 2
Multiplying Eqn 1 by 5
Subtracting Eqn 2 from Eqn 3
Dividing both sides by 0.50
Putting in Eqn 1
Sarah bought 3 bracelets and 2 pairs of sunglasses.
Keywords: linear equations, subtraction
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Answer:
10
Step-by-step explanation:
i multiplied the 5 pints by the 2 cups, which in turn gave me 10 cups