Let the length be x and the width be w
The perimeter will be:
2x+3w=1500
thus
3w=(1500-2x)
w=(1500-2x)/3
w=500-2/3x
The area will be:
A=x*w
A=x(500-2/3x)
A=500x-(2/3)x²
The above is a quadratic equation; thus finding the axis of symmetry we will evaluate for the value of x that will give us maximum area.
Axis of symmetry:
x=-b/(2a)
from our equation:
a=(-2/3) and b=500
thus
x=-500/[2(-2/3)]
x=375
the length will be 375 m
The width will be 250 m
(6x^-2)^2(0.5x)^4 = (6^2)(x^-2(2))(1/2)^4(x^4) = 36x^-4(1/16x^4) = (36/16)x^(-4+4) = 9/4
Answer:height=20cm
Step-by-step explanation:
Length=100cm
Breadth=40cm
Volume=80 liters which is equal to 80000cm^3
volume=length x breadth x height
80000=100 x 40 x height
80000=4000 x height
Divide both sides by 4000
80000/4000=(4000xheight)/4000
20=height
Height=20cm
Answer:
2.72
Step-by-step explanation:
Here, we use a z-score table or calculator to look up the probability and find the corresponding z-score.
P(z < ?) = 0.9967 at z = 2.72.
Rhonda has 25 coins in her pocket. all of the coins are either dimes or nickels. if rhonda has a total of $2.30, how many dimes does she have
