The expression will be 589/15
Answer: πr^2
Step-by-step explanation:
π is pie which is about 3.14
but you need to find the radius and square it is multiply it by itself (Example radius = 2 so 2x2=4)
then multiply the radius squared by π(pie) which is 3.14 or use a calculator.
Answer:
G - number of arrangements
F. the amount of her allowance
B. y = x
H. the number of hours
Answer:
Hence the width, length is 20 cm and height is 10 cm
Step-by-step explanation:
Since the box has a square base, let length = width = x. Also, let the height = y, therefore:
The volume of box = width * length * height
4000 = x * x * y
4000 = x²y
y=4000/x²
The surface area (SA) = area of the base + sum of the area of each side
SA = x² + xy + xy + xy + xy
SA = x² + 4xy
substitute y = 4000/x²
SA = x² + 4x(4000/x²)
SA = x² + 16000/x
Taking the derivative:
SA' = 2x - 16000/x²
making SA' = 0:
0 = 2x - 16000/x²
2x = 16000/x²
2x³ = 16000
x³ = 8000
x = 20 cm
y = 4000 / x² = 4000 / 20² = 10 cm
Hence the width, length is 20 cm and height is 10 cm
Answer:
6.4 minutes ( or 6 minutes and 24 seconds)
Step-by-step explanation:
Filling up the jug means the empty space is 0, hence V = 0.
<em>We plug in 0 into V and solve for t to get the time required to fill it up:</em>

Hence it will take 6.4 minutes to fill up the jugs.
<u>Note:</u> 0.4 minutes in seconds is
seconds