51 eggs in 4 and 1/4 dozens
You multiply -4 to everything inside of the parenthesis which is 20w+12u-8
You'd get a total 24 cups, 3/5=9/15. 9+15=24
Our equation for this table could be an equation in slope-intercept form:
y=mx+b
m=slope of the line:
b=y-intercept.
1) we have to calculate the slope of this line.
We need two points, you can choose two points of this table, for example:
the points (4,6) and (10,15)
m=(y-y₀)/(x-x₀)
m=(15-6)/(10-4)
m=9/6
m=3/2
2) we have to find "b";
We have this equation:
y=3/2 x +b
Now, we choose any point of this table; For example (8,12), now we find "b",
y=3/2 x+b
12=3/2 (8)+b
12=12+b
b=12-12
b=0
Therefore: the equation would be y=3/2 x
More easy:
if y vary directly with x, then: y=(y₂-y₁)/(x₂-x₁) x
You choose any two points of this table:
(8,12)
(10,15)
y=(15-12)/(10-8) x
y=3/2 x
Answer: y=3/2 x
That is adjacent and huptonuse
soh cah toah
so that is cos
cos(x)=15/21
so tehrfor
cos⁻¹(15/21)=x
where cos⁻¹ means inverse not 1/cos
use your calculator to evaluate cos⁻¹(15/21) in degrees
it is about 44.4153 degres, rounded to 44 degrees