This is a maximization problem so we apply derivatives here to determine the unknown variables in the problem.
In this problem, we represent x as the number of hats made, and y as the number of Afghans made by Mrs White.
Equation 1 relating to the time it takes to make these is expressed:
7x + 4y = 68
Another equation that represents inequality to the number of hats and Afghans respectively is expressed:
x<= 14
y<=11
the third equation expresses the income from selling these items expressed as
P = 21 x + 9y
we subtitute 1 to 3
P = 9(68-7x)/4 + 21x = 153-15.75x + 21 x = 153 -5.25x
So by trial and errror, x and y should be integers, we get two cases of which x and y should be
1) x = 4 ; y = 10
2) x = 8 ; y = 3
Subsituting to 3, P1 = 174$ while P2is equal to $195, Answer then is 8 hats and 3 Afghans in total.
Answer:
The correct answer is option C.
Sin 45 degrees = square root of 2 divided by 2, cos 45 degrees = square root of 2 divided by 2, tan 45 degrees = 1
Step-by-step explanation:
The sin cos tan table used to calculate values of the ratios for different angles can be used for the values.
The table is easily available on the internet.
WE can use a a right-angles isosceles triangle to find the exact values for the angle 45.
The equal sides have length 1. So the thirs side using the pythagoras theorem will be √2.
So
Sin 45 = √2/2
Cos 45 = √2/2
and
Tan 45 = 1
So the correct option is C.
Answered: 10
Explanation:
16+(10t)-(4t)
16-10+4=10
Answer:
Step-by-step explanation:
x² + 3x + 4x + 12 =x(x+3) + 4(x+3)=
(x+3)(x+4)
