Let width = w
Let length = l
Let area = A
3w+2l=1200
2l=1200-3w
l=1200-3/2
A=w*l
A=w*(1200-3w)/2
A=600w-(3/2)*w^2
If I set A=0 to find the roots, the maximum will be at wmax=-b/2a which is exactly 1/2 way between the roots-(3/2)*w^2+600w=0
-b=-600
2a=-3
-b/2a=-600/-3
-600/-3=200
w=200
And, since 3w+2l=1200
3*200+2l=1200
2l = 600
l = 300
The dimensions of the largest enclosure willbe when width = 200 ft and length = 300 ft
check answer:
3w+2l=1200
3*200+2*300=1200
600+600=1200
1200=1200
and A=w*l
A=200*300
A=60000 ft2
To see if this is max area change w and l slightly but still make 3w+2l=1200 true, like
w=200.1
l=299.85
A=299.85*200.1
A=59999.985
First of all, we know that a line is 180°. This means if we add the angles of 61°, 57°, and angle y, we should get 180<span>°.
Simplify:
Subtract 118° to both sides:
We also know that all three angles of a triangle add up to 180<span>°. So we have:
Simplify:
Subtract 129° to both sides:
</span></span>
Answer:
200 students either bike or walk to school
Step-by-step explanation:
0.4 = 40%
500 * 0.4 = 200
40% is 200 students
200 students either bike or walk to school
Answer:
The answer is C(x) = 60x + 14 and the answer to the second one is 7 days.
Step-by-step explanation:
C(x) =60x + 14
434 = 60x + 14
-14 -14
420 = 60x
/60 /60
7 = x
or
x = 7 days
Answer: literal language
hope this helps :)
