21•3.14=65.94 the circumference is 65.94
Answer:
7
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Given
9n² - n -
= 0 ← multiply through by 3 to clear the fraction
27n² - 3n - 2 = 0 ← factoring
Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term
product = 27 × - 2 = - 54 and sum = - 3
The factors are - 9 and + 6
Use these factors to split the n- term
27n² - 9n + 6n - 2 = 0 ( factor the first/second and third/fourth terms )
9n(3n - 1) + 2(3n - 1) = 0 ← factor out (3n - 1) from each term
(3n - 1)(9n + 2) = 0
Equate each factor to zero and solve for n
3n - 1 = 0 ⇒ 3n = 1 ⇒ n = 
9n + 2 = 0 ⇒ 9n = - 2 ⇒ n = - 
A
Step-by-step explanation:
90 Degree Rotation. When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). ...
180 Degree Rotation. When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). ...
270 Degree Rotation.
Answer:
The fastest runner is Katie
Step-by-step explanation:
In order to determine this, we must first put them all in the same terms. For the purpose of this, we will put them all in feet per second.
Katie
14 feet/1 second = 14 ft per second
Zach
576 feet/46 seconds = 12.52 ft per second
Tony
1 mile/533 seconds = 5280 feet/533 seconds = 9.91 ft per second
Will
827 feet/1 minute = 827 feet/60 seconds = 13.78 ft per second.
So we know that the fastest is Katie.