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:
Option i
Step-by-step explanation:
The given expression is , 5x² - 3xy .
We can clearly see that there are two terms in the expression , 5x² and 3xy .
<u>T</u><u>herefore </u><u>option </u><u>(</u><u>i)</u><u> </u><u>is </u><u>correct</u><u> </u><u>.</u>
I think it’s c I had this question lol
Answer:
Step-by-step explanation:
Number words Nebi has typed = 250
t = Duration of typing = 3 minutes
Number of words typed in 3 minutes = 150
Rate of typing in 3 minutes
So the linear equation representing the situation would be
Where
w = Number of words
m = Number of minutes after starting the timer
Answer:
26.55
Step-by-step explanation:
When rounding to the nearest whatever, you always look at the digit to the right of it. In this case, you look at the thousandth digit. 3 is not equal to or less than five, so you round 3 to 0 and you get 26.55
