Answer:

Step-by-step explanation:
In right triangle XZW, the height WY is the geometric mean of segments ZY and XY.
Hence,

Answer:
4kg
Step-by-step explanation:
2kg = 20$
20 x 2 = 40
2 x 2 = 4
Answer:
B, x=3 y=5
Step-by-step explanation:
x=-7+2y
3y+2x=21
Substitute the x into the other equation
3y+2(-7+2y)=21
y=5
Now put the value into a desired equation
x=-7+2(5)
x=3.
The answer is x=3 and y=5
I hope this helped!
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
Answer:
a
Step-by-step explanation: