(.297|.812) solve for the probability

The probability of the equation is 0.365

Explanation:

Given:

Finding the probability of

Here, we need to divide the fraction

On solving we get:

Therefore, the probability of the equation is 0.365

2.56 is the width of the garden

step-by-step explanation:

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