Square root of 25v^2/36

5 |v|/6

Step-by-step explanation:

sqrt( 25v^2/36)

We know that sqrt(a b/c) = sqrt(a) sqrt(b)/ sqrt(c)

sqrt(5) sqrt(v^2) / sqrt(36)

We do not know if v is positive or negative, but when we square it, it becomes positive, so we have to take the positive value of v

5| v|/6

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4