36 and 48
a = b+12
a+b = 84
(b+12) + b =84
2b +12 = 84
2b = 72
b= 36
a = b + 12
a = 36 + 12
a = 48
The area of the frame would be 19.25’
Answer:
a) The value of absolute minimum value = - 0.3536
b) which is attained at
Step-by-step explanation:
<u>Step(i)</u>:-
Given function
...(i)
Differentiating equation (i) with respective to 'x'
...(ii)
Equating Zero
<u><em>Step(ii):</em></u>-
Again Differentiating equation (ii) with respective to 'x'
put
The absolute minimum value at
<u><em>Step(iii):</em></u>-
The value of absolute minimum value
on calculation we get
The value of absolute minimum value = - 0.3536
<u><em>Final answer</em></u>:-
a) The value of absolute minimum value = - 0.3536
b) which is attained at
Let's call the angles x and y. We know that supplementary angles must add to 180 degrees, so x+y=180.
Furthermore, we know that x is 75% more than 2y. We can write "75% more than" numerically as 1.75, so x = 1.75(2y).
We can simplify the second equation by multiplying 1.75 and 2 together to get x = 3.5y.
Now we can solve the system of equations by substitution by plugging 3.5y in for x in x+y=180.
(3.5y) + y = 180
Combine like terms.
4.5y = 180
Divide by 4.5
y = 40
Plug y = 40 in and solve for x.
x + 40 = 180
x = 140
The answer is 40 and 140. Hope this helps :)