16
Place in ascending order: 4 6 8 15 15 17 17 18 20 20
middle numbers = 15 and 17
(15+17)/2 = 16
Answer: Ok So If you know the diameter or radius of a circle, you can work out the circumference. To begin with, remember that pi is an irrational number written with the symbol π. π is roughly equal to 3.14.
The formula for working out the circumference of a circle is:
Circumference of circle = π x Diameter of circle
This is typically written as C = πd. This tells us that the circumference of the circle is three “and a bit” times as long as the diameter."
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Two different approaches:
<u>Method 1</u>
Apply radical rule √(ab) = √a√b to simplify the radicals:
√98 = √(49 x 2) = √49√2 = 7√2
√50 = √(25 x 2) = √25√2 = 5√2
Therefore, (√98 - √50)² = (7√2 - 5√2)²
= (2√2)²
= 4 x 2
= 8
<u>Method 2</u>
Use the perfect square formula: (a - b)² = a² - 2ab + b²
where a = √98 and b = √50
So (√98 - √50)² = (√98)² - 2√98√50 + (√50)²
= 98 - 2√98√50 + 50
= 148 - 2√98√50
Apply radical rule √(ab) = √a√b to simplify radicals:
√98 = √(49 x 2) = √49√2 = 7√2
√50 = √(25 x 2) = √25√2 = 5√2
Therefore, 148 - 2√98√50 = 148 - (2 × 7√2 × 5√2)
= 148 - 140
= 8
Since the 3 and 7 have 21 as a common multiple you can divide 21 by the denominator of each term and then multiply it by the numerator which get you while numbers