In a group of 120 students 72 of them plays football , 65 plays tables tennis and 53 play hockey . If 35 of the student plays both football and table tennis . 30 play both football and hockey 21 play both table tennis and hockey and each of the student play at list one of the three gamesA. Draw a Venn diagram to illustrate the informationB. How many of them playi. All the three gamesii. Exactly 2 of the three gameiii. Exactly 1 of the three gameiv. Football only

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

$15 each

step-by-step explanation:

$45/3 children= $15 each