Agroup of students is timed while sprinting 100 meters. each students speed can be found by dividing 100 m by their time. is each statement true or false? explain your reasoning. a. speed is a function of time. b. time is a function of distance c. speed is a function of numbers of students racing. d. time is a function of speed

The true statements are (a) and (d)

Step-by-step explanation:

(a). Speed is a function of time : As seen from equation (1) Speed of the students varies according to the value of time. So, This a true statement.

(b). Time is a function of distance : Distance is not varying in the equation (1), it is fixed to be 100. So, time is not a function of distance because here the distance is made constant. So, This is false statement.

(c). Speed is a function of number of students racing : Speed is not depending on the number of students racing so sped is independent of the number of the students racing. Therefore, Speed is not a function of number of students racing. This is False statement.

(d). Time is a function of speed : As seen from equation (1) Time of the students varies according to the value of their speed. So, This a true statement.

Hence, the true statements are (a) and (d)

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