Answer:
Step-by-step explanation:
Required
The positive root of 
Equate to 0
So, we have our function to be:
Differentiate the above function:
Using Newton's method of approximation, we have:
Plot the graph of to get 
--- see attachment for graph
From the attached graph, the first value of x is at 2.2; so:
So, we have:
The process will be repeated until the digit in the 6th decimal place remains unchanged
Hence:
Answer: 103 degrees
Step-by-step explanation:
51 + 26 = 77
A triangle adds up to 180 degrees
180 - 77 = 103
= <u>103 degrees</u>
Answer:
Evan's recipe
Step-by-step explanation:
Given that:
Evan's recipe :
5 cups of milk for every 4 teaspoons of chocolate syrup
Carter's recipe:
3 cups of milk for every 2 teaspoons of chocolate syrup.
Recipe with the stronger tasting chocolate milk:
Take the ratio of cups of milk to teaspoons of chocolate syrup:
Evan's :
5 / 4 = 1.25
Carter's :
3 /2 = 1.5
Evan's recipe has the stronger tasting chocolate milk recipe :
5 milk cup = 4 chocolate spoons
Number of chocolate milks for 3 milk cups = x in Evan's recipe
5 = 4
3 = x
5x = 12
x = 12/5
x = 2.4 teaspoons
This is 2.4 spoons compared Carter's recipe which uses 2 spoons for every 3 milk cups
(4x - y)/(2y + x) when x = 3 and y = 3 is
(4(3) - 3)/(2(3) + 3) = (12 - 3)/(6 + 3) = 9/9 = 1
