The volume of a cone with diameter d (and hence radius d/2) and height h is
so each scoop holds
of coffee.
The volume of a cylinder with base diameter d and height h is
so the coffee can contains
of coffee.
One full scoop then uses up of the total amount of coffee in the can, so you can make 12,150 cups of coffee.
The values are given as
<span>2005 2.63
2006 3.26
2007 3.54
2008 3.769
2009 2.13
2010 2.956
2011 4.259
2012 4.16
2013 3.78
2014 3.99
2015 3.10</span>
where left side is the year (x) and right side is the value (y)
The smallest value of y is = 2.13; biggest value is = 4.259 (RANGE)
Domain is (2003 to 2015)
It seems that the equation will not be linear because as the year increases, the value of y is unstable.
Answer:
Step-by-step explanation:
Given:
12 meters longer than his throw
To translate the word phrase into math expression.
Solution:
let represents the throw by him.
Now according to given data his throw is 12 meters longer
So equation now becomes as
Answer:
Step-by-step explanation:
Given the expression cos(3x-π) = -√3/2, we are to find the values of x that represent the solutions to the equation.
cos(3x-π) = -√3/2
take inverse cos of both sides
cos⁻¹[cos(3x-π)] = cos⁻¹[-√3/2]
3x-π = cos⁻¹[-√3/2]
3x-π = -30°
since 180° = π rad
Hence;
3x- 180° = -30°
3x = -30°+ 180°
3x = 150°
x = 150°/3
x = 50°
Since cos is negative in the first second and 3rd quadrant;
3x-180° = -30°
In the second quadrant;
3x-180° = 180-30
3x - 180 = 150
3x = 150+180
3x = 330
x = 110°
In the third quadrant;
3x-180° = 270+30
3x - 180 = 300
3x = 300+180
3x = 480
x = 480/3
x = 160