By definition, the circumference of a circle is:

The area of a circle is:

Where,
r: radius of the circle.
When the radius is double, then the new area is:

Rewriting we have:

In terms of a we have:
Answer:
The new area of the circle in terms of a is:
Answer:
Tags not given out=(k/5)-40
Step-by-step explanation:
k is tag
Tags k given to student are half = k/2
Tags given to parents are= 100
Total tags given to students and parents are=(k/2)+100
So remaining tags are=k-(k/2+100)
=(k-200)/2
tags given to judges and teacher are 3/5 of remaining tags =(3/5)*((k-200)/2)
So tags not given out are =(2/5)*((k-200)/2)
=(k/5)-40 Answer
Answer:
G(x)
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
8 (x/4 -6) >= 4
(x/4 - 6) >= 4/8
(x/4) >= 0.5 +6
x >= 6.5 x 4
x>= 26
When doing improper fractions, you're going to keep the denominator the same. For example in question number 6, there are 18 triangles filled in so the improper fraction would be 18/5. Mixed numbers consist of the number of whole numbers filled and the remainder in the fraction. Therefore number 7, mixed number is 2 3/5 and the improper fraction would be 13/5. I'll list the rest of the answers below:
8.) Mixed: 1 3/5 Improper: 8/5
9.) Mixed: 4 1/4 Improper: 17/4
10.) 5/4, 7/4
12.) 13/8, 7/4, 19/8, 5/2, 21/8
13.) 4/3, 17/9, 7/3
Note: You can simplify improper fractions, this is why you'll get different denominators on the number line questions.