Step-by-step explanation:
we know that=
other number=LCM×HCF\One number
=6×360 upon 24
=90
Answer: Choice A
The volume expression is 4/3 times pi times (3x)^3
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The volume of a sphere is found through the formula
V = (4/3)*pi*r^3
so we start with the fraction 4/3, multiply it with pi, and then multiply it with r^3
In this case, the radius is r = 3x because this is half of the diameter d = 6x
We simply replace the r with 3x in that formula above
V = (4/3)*pi*r^3
V = (4/3)*pi*( r )^3
V = (4/3)*pi*(3x)^3 ... replace r with 3x
Answer:
the diagonal measurement from corner A to corner B=15 inches
Step-by-step explanation:
as we know that the loptop has the shape of a rectangle that means all it's angles are right angles. so we can use the pythogoras theorem to find out the diagonal of the rectangle.
let us denote the diagonal of rectangle by D and the sides of rectangle be denoted by X=12 and Y=9
so by using pythogoras theorem we have,

=225
D=15
Hence the diagonal measurement from corner A to corner B is 15 inches.
Answer:
125feet
Step-by-step explanation:
Given the equation that modeled the height expressed as h = -16t^2 + 80t + 25, where h is the height and t is the time in seconds.
The arrow reaches the maximum height at dh/dt = 0
dh/dt = -32t + 80
0= -32t+80
32t = 80
t = 80/32
t = 2.5secs
substitute t = 2.5 into the formula;
h = -16t^2 + 80t + 25
h = -16(2.5)^2 + 80(2.5) + 25
h = -16(6.25)+225
h = -100+225
h = 125
Hence the maximum height the arrow reaches is 125feet
um i would say 25 all together