To understand the function better, let's convert it from polar coordinates to cartesian coordinates. The relation between those coordinates are
Our function is
If we multiply both sides by r, we have
The square of the radius is equal to the sum of the squares of the cartesian coordinates
Using this identity, we can rewrite our function as
Completing the square, we can rewrite our function as
This is a equation of a circle.
The number of bananas required to make the third scale balance is 3.
<h3>What is a scale?</h3>
A scale is a tool used for weighting objects. If the objects on each side weigh the same the scale is balanced. Based on this, let's determine the possible weight of each fruit to balance the last scale.
- Scale 1 (10 bananas/ 2 pineapples)
It is known 10 bananas weigh as much as 2 apples, but to solve this problem let's assume 10 bananas weigh a total of 1000 grams.
- 10 banans = 1000 grams = each banana weighs 100 grams
- 2 pineapples = 1000 grams = each pineapple weighs 500 grams
Scale 2 ( 1 pineapple / 2 bananas, 1 apple)
Using the same imaginary weights let's find the weight of the apple.
- 1 pineapple = 500 grams
- 2 bananas = 200 grams
- 1 apple = 300 grams (500 - 200 = 300)
Scale 3 (1 apple /x )
We know 1 apple is equal to 300 grams and 1 banana is equal to 100 grams. Based on this, the number of bananas to balance the scale is 3.
Learn more about balance in: brainly.com/question/7181548
Answer:
14ft
First get the cones volume formula v=(3.14*r^2*h)/3
Second find the radius which is 1/2 the diameter.
Third plug in given and solve 366= (3.14*5^2*h)/3
366*3=3*(3.14*25*h)/3
1098=78.5h
1098/78.5=78.5h/78.5
13.987=h
What factors to they have in common?
First, they're all even, so 2
if we divide all of them by 2, we get:
13,24,31
now, 13,31 are primes: so that means that those numbers don't have any more common factors!
So the greatest Common Factor of those 3 numbers is 2.
The answer is approximately 11.18.
