The price of a train ticket from Orlando to Atlanta is normally $118.00. However, the train company is offering a special 75% discount to children under the age of 16. What is the sale price of a ticket from Orlando to Atlanta for someone under the age of 16? PLZZZ HELP ME

9514 1404 393

  $29.50

Step-by-step explanation:

The price of the discounted ticket is 1 - 75% = 25% = 0.25 times the normal price:

  discounted price = 0.25 × $118.00 = $29.50

The sale price is $29.50.

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).