Consider the expression .
where ℓ is length and g is gravitational acceleration in units of length divided by time squared.
evaluate its units.
1. s²
2.
3.
4.
5. s
6. m²
7. m
8.

Step-by-step explanation:

lets start from the expression , first remember that is a constant with no units, so we do not need to consider it for this problem, so lets just think about

Next lets replace the units, l is the length which is represented in metters by international units system

g is the gravitational constants, so the units are lengt divided by time squared, since time is in seconds we have

so pluging that into our formula we have

Now see we are dividing by a fraction, remember that to divide by a fraction is the same as to multiply by the reciprocal fraction, so we just flip the fraction and we get

then if we perform the multiplication we have inside the radical we get

Then since we are multiplying and dividing by m, the m's just cancel and we have

Now remember that square and square root are inverse operations, so they cancel each other and we are left with just , which means seconds, so the answer would be option 5

hope that helps, good bye :)

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

dont know

step-by-step explanation: