Answer:
h = 6 cm
l = (32-2(6)) = 20 cm
w = (40-2(6)) = 28 cm
Step-by-step explanation:
Given in the question a piece of cardboard having dimensions 32 by 40
Suppose we cut square of length x
When you cut square corners from a piece of cardboard, two sides are 32-2x, and other two sides are 40-2x lengths
<h3>Step 1</h3>
Formula for the volume of box
v = height * length * width
v = x (32-2x) (40-2x)
v = 4x³ - 144x² + 1280x
<h3>Step 2</h3>
Find derivative and equal it to 0
dv/dx = 4(3)x² - (2)144x + 1280
0 = 12x² - 288x + 1280
x1 = 18.110
x2 =5.88
<h3>Step 3</h3>
Select x and plug value of x to find dimension
(32-2x) > 0
2x < 32
x < 16
so domain say that x should be less than 16 which means x = 5.88 ≈ 6 cm
h = 6 cm
l = (32-2(6)) = 20 cm
w = (40-2(6)) = 28 cm
y=-5x-44
Step-by-step explanation:
5x+y=13 passes through (15,31)
rearrange the equation to y=mx+c
5x+y=13
y=-5x+13
substitute the points (15,31)
y=5x+c
31=5(15)+c
31=75+c
-44=c
y=-5x-44
Can be written as 5x+y=-44
Answer
Point 1 (2, 8)
Point 2 (5, 20)
Step-by-step explanation:
Since we are given the x values of 2 and 5, substitute them in the equation and you will get 8 and 20.
Answer:
its f
Step-by-step explanation:
RS and TS are congruent as they are the sides opposite the 20 degree angles. That mean TR > TS so "A" is the only answer that is correct.
