25 points + please answer quick

Use the Pythagorean Theorem to prove that the three sides of the triangle are the three sides of a right triangle. Show all of your work.
2, 4, 2

use the pythagoras theorem

Step-by-step explanation:

(2√3)² = 4*3 = 12

4² = 16

4 > 2√3 => 4 = HYPOTENUSE

PYTHAGORAS

4² = (2√3)² + 2²

16 = 12 + 4

16 = 16 (true)

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours

46

step-by-step explanation:

given

height = 168 cm

formula

height =2.47*f+54.13

solution

168 = 2.47f + 54.13             subtract 54.13 from both sides

168 - 54.13   = 2.47f             combine

113.87 = 2.47f                     divide by 2.47

113.87 / 2.47 = f                   combine

46.1 = f  

answer: 46 cm