The square root of 64 is 8 and the square root of 100 is 10.... so,
square root of 64/100 = 8/10
8/10 reduces to 4/5
Answer D.
Let x represent the edge length of the square end. Then the area of the end of the package is x², and the length of the package is 126 -4x. The overall volume is ...
V = x²×(126 -4x)
V = -4x³ +126x²
The volume will be a maximum where the derivative of volume with respect to x is zero.
V' = -12x² +252x
V' = -12x(x -21)
This will be zero for x = 0 and for x = 21
The maximum volume of the package is
V = (21 in)²(126 in -4×21 in)
V = 18,522 in³
First find the gradient of line AB
14--3/7--10
17/17 = 1
As CD is perpendicular to AB take the negative reciprocal of the gradient to AB to find gradient of CD
Gradient of CD = -1
to find y intercept use points given
12=(-1 x 5) +c
17 = c
C is the y intercept so for question 1 the answer is 3
for the second question just plug values into the equation and see if you get the right y value
Here the only number that works is -2
for question 2
the answer is 2
60% if there are only 10 white and black balls
Answer:
4.5
Step-by-step explanation:
So the ladder is 4 feet from the wall and 18 feet tall. This can translate to negative 4 spaces on the x-axis and 18 spaces on the y-axis. The slope of a line is rise over run which is 18/4 or 4.5
I hope the answer is right and I hope I helped. Have fun with the rest of your math :)