Answer:
124/15 or 8.26
Step-by-step explanation:
Answer:
3x^2 -2x + 1 =3(x^2-2/3x+1/3)=3(x-1/3)^2+2/9*3= 3(x-1/3)^2+2/3
(x-1/3)^2 is greater or equal to zero
3(x-1/3)^2 is greater or equal to zero
and 2/3 is greater than zero
So there sum is greater than zero
Proved
Step-by-step explanation:
3x^2 -2x + 1 =3(x^2-2/3x+1/3)
Consider x^2-2/3x+1/3
Remember that (a-b)^2 =a^2-2ab+b^2
x^2=a^2
a=x
-2/3x= -2*x*b
b=1/3
S0 (x-1/3)^2= x^2-2/3x+1/9
x^2-2/3x+1/3= x^2-2/3x+1/9+1/3-1/9= (x-1/3)^2+2/9
3x^2 -2x + 1 =3(x^2-2/3x+1/3)=3(x-1/3)^2+2/9*3= 3(x-1/3)^2+2/3
(x-1/3)^2 is greater or equal to zero
3(x-1/3)^2 is greater or equal to zero
and 2/3 is greater than zero
So there sum is greater than zero
Proved
Answer:
Step-by-step explanation:
If the water in the cube rose from 6 inches to 8 inches when the cone was placed in the cube, then the difference in volumes is the volume of the submerged portion of the cone.
Initially, 10 in by 10 in by 6 in:
At he end, 10 in by 10 in by 8 in:
Thus,
Use cone's volume formula
where r is the radius of the cone's base, h is the height of the cone.
From the diagram, h=8 in, then
Answer:
Step-by-step explanation:
From the Isosceles Base Theorem, the two base angles of an Isosceles Triangle are equal. Therefore, .
Since the sum of the interior angles of a triangle is 180 degrees, we have:
Answer:
The LCM of 3 and 5 is 15.
Step-by-step explanation: