The volume is proportional to the cube of the radius:
4^3=64
The volume will be 64 times the original value!
The answer is 42 because you have to add up all of the colors together then add how many red and green you have then we multiple 60 times 14/20 and we get 840/20 so then we divide 840 by 20 and we get 42 so our answer is 42 if you haven’t got it already i don’t see any dates for these
Answer:
The third number is 180.
Step-by-step explanation:
Let the third number be 9x where x is an integer.
48 = 2*2*2*2*3
264 = 2*2*2*3*11
9x = 3*3*x
2*2*2*2*3*3*11*x = 7920y where y is an integer
1584x = 7920y
so x = 7920y / 1584= 5y.
Now the GCD is 12 so x must have 4 as one of its factors.
Also x is a multiple of 5 so it could be 20 then y would be 4.
If x = 20 then the third number is 9*20 = 180.
This checks out OK.
1. vertical angle theorem and triangle angle sum theorem
2. The sum of the interior angles of a triangle = 180
so < x = 180 - (70 + 30) = 180 - 100 = 80
and < y is a vertical angle to < x...and vertical angles are equal..
so < y = 80
Answer:
See below
Step-by-step explanation:
y = -6x^2 + 24x-100
solve for 'x'
y + 100 = -6x^2 + 24x = -6(x^2-4x) complete the square for x
(y+100) /(-6 ) = (x-2)^2 -4 add 4 to both sides
(y+100)/(-6) +4 = (x-2)^2 sqrt both sides
sqrt [ ( y+100)/(-6) + 4 ] + 2 = x change x and y
y = ± sqrt [ (x+100)/(-6) + 4 ] + 2 simplify (if needed)
<u>y = ± sqrt( -x/6 -12.666) + 2 </u>
