Answer:
C. The ratio of the area to the circumference is equal to half the radius.
Step-by-step explanation:
The area of a circle can be written as;
Area A = πr^2
The circumference of a circle is;
Circumference C = 2πr
Using the formula, w can derive the relationship between the two variables.
A = kC
k = A/C
Substituting the two formulas;
k = (πr^2)/(2πr) = r/2
So,
A = (r/2)C
A/C = r/2
The ratio of the area to the circumference is equal to half the radius.
Given;
Area = 200.96
Circumference = 50.24
Radius = 8
To confirm;
k = r/2 = 8/2 = 4
Also,
A/C = 200.96/50.24
A/C = 4
In math, when you see the word "of" it usually means "times".
So the question is:
<u>2/3 times something = 10</u>
Multiply each side of the equation by 3 :
2 times something = 30
Divide each side by 2 :
<em> something = 15</em>
Answer:
<h3>Option D) 3 is correct</h3><h3>Therefore the value of x is 3</h3>
Step-by-step explanation:
Given equation is 
<h3>To find the value of x :</h3>
First solving the given equation we have,









( by using the property
)
( by using the property
)

( by using the property
)
Since bases are same so powers are same
Therefore we can equate the powers we get x=3
<h3>Therefore the value of x is 3</h3><h3>Option D) 3 is correct</h3>
Lets say the base is x and the height is y. The new base would be 1.2x and the new height would be 1.3y
Area of a triangle is base times height divided by 2:
1.2x*1.3y/2 = (1.2*1.3 + x*y)/2 = 1.56xy/2 = 0.78xy = 78% of xy
But a normal area would be 50% of xy
78% - 50% = 38%
ANSWER: 38% increase