The figure below shows the ideal pattern of movement of a herd of cattle, with the arrows showing the movement of the handler as he moves the herd. the arc the handler makes from the starting point to the return point should be a quarter of a circle:

a sector showing a quarter of a circle is drawn. the radius is marked as 75 feet. the endpoints of the arc of the sector are marked as starting point and return point. the sector is filled with cattle.

based on this theory, what distance will the handler move from the starting point to the return point if he creates an arc of a circle with radius 75 feet?

1884 feet
4415.63 feet
58.88 feet
117.75 feet

i think the answer is .36

step-by-step explanation:

what i did was only 2.88 divided by 8

b i think

step-by-step explanation:

not really sure

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

3/5

step-by-step explanation:

double number line is not a standard concept, so it must have been defined in your textbook. assume top line is numerator.