Answer:
Step-by-step explanation:
We have the equations
4x + 3y = 18 where x = the side of the square and y = the side of the triangle
For the areas:
A = x^2 + √3y/2* y/2
A = x^2 + √3y^2/4
From the first equation x = (18 - 3y)/4
So substituting in the area equation:
A = [ (18 - 3y)/4]^2 + √3y^2/4
A = (18 - 3y)^2 / 16 + √3y^2/4
Now for maximum / minimum area the derivative = 0 so we have
A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0
-3/8 (18 - 3y) + √3 y /2 = 0
-27/4 + 9y/8 + √3y /2 = 0
-54 + 9y + 4√3y = 0
y = 54 / 15.93
= 3.39 metres
So x = (18-3(3.39) / 4 = 1.96.
This is a minimum value for x.
So the total length of wire the square for minimum total area is 4 * 1.96
= 7.84 m
There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.
Answer:
C
Step-by-step explanation:
42%= 
= 0.42
Answer:
The answer is B. He spent 3 minutes eating lunch for every 10 minutes.
Step-by-step explanation:
He spent stuck inside during the brainstorm for:
20+18+12+10= 60 minutes in total.
And now we want to know what he did for every 10 minutes he spent in the rainstorm. To do that we need to divide what he did for every 10 minutes by the total of minutes that he was stuck:
And now we can multiply the time of the activities by 1/6 to get the time he did each activity every 10 minutes.
Reading:
minutes reading for every 10 minutes.
Eating:
minutes eating for every 10 minutes.
Watching TV:
minutes watching TV for every 10 minutes.
Drawing:
minutes drawing for every 10 minutes.
Therefore he spent 3 minutes eating lunch for every 10 minutes.
Answer:
s= -1
Step-by-step explanation:
7= -10s-3
+3 +3
10=-10s
s= -1
