Answer:
101.6064
Sig Figs
7
101.6064
Decimals
4
101.6064
Scientific Notation
1.016064 × 102
E-Notation
1.016064e+2
Words
one hundred one point six zero six four
Step-by-step explanation:
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: 73 weeks
Step-by-step explanation:
Equations
657-4w=876-7w
Solve for w
w=73
I'm not going to say the answer because i want you to figure it out.
But here.
For Part A: There are 665 pounds of apples, 35 go in each box. You have to find out how many boxes there will be. How will you break apart 665 by 35? (Division) After that, you got your answer!
Part B: Just write down your answer from Part A.
Answer:
-5 x (4-n)
Step-by-step explanation: