WILL GIVE A LOT OF POINTS A man has 100 light switches in his house which are numbered from 1 to 100. One night he goes through every switch and turns it on. Then he goes around a second time and turns every other switch (2,4,6,8) off. Then he goes around a third time and turns every third switch off if it is on and on if it is off. Then he goes around and flips every foruth switch and so on. How many lights are left on after the 100th time?

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft