Square-root of two multiplied by the cube-root of 2
=sqrt(2)*(2)^(1/3)
=2^(1/2)*2^(1/3)
=2^(1/2+1/3) multiplication rule of exponents
=2^((3+2)/6)
=2^(5/6)
=(2^5)^(1/6).........sixth root of 2^5
=(32)^(1/6) ............sixth root of 32.
1m =3.28 feet 1km= 1000m 1km=3 280 feet
120x3 280=393 600feet/h 1h=3 600sec
393 600/3 600=109.33feet/sec
Answer:
<h2>The volume of the larger prims is eight times greater than the smaller prism.</h2>
Step-by-step explanation:
If the scale factor of the larger prims to the smaller prism is 3, that means each side is triple.
We know the a triangular prims has a volume defined by

If we take that formula as the smaller prism, then the larer prism has a volum of

If we compare, we can deduct that

In words, the volume of the larger prims is eight times greater than the smaller prism.
The vase of the triangle would be x because it is unknown and the height would be x+2 because it is 2 more units than the base the formula for the area of a triangle is (base)(height)% 2 =area so (x)(x+2)%2=12 so then you have 1/2x^2+x=12 at this point I would move the 12 to the other side by subtracting to get 1/2x^2+x-12=0 then I would multiply it all by 2 to get x^2 + 2x-24 from there I would factor to get (x+6)(x-4) and your answers would be x= -6 and 4 and because 6 is negative it would not work because distances are always positive so the base would equal 4
hi
line equation is : mx+p
so if a line goes throught A(4;6) and with m = 3 so you have 3 *(4) +P = 6
so : 12 +P = 6
P = 6-12
P = -6
line equation is : 3m -6