Acertain television is advertised as a 5-inch tv (the diagonal length). if the width of
the tv is 4 inches, how many inches tall is the tv?

TV is 3 inches tall.

Step-by-step explanation:

Given: Diagonal length of TV is 5 inch

            Width of TV is 4 inches.

Considering TV to be in rectangle shape.

Lets assume the TV height to be "x"

Diagonal form a right angle triangle as shown on picture attached.

∴ using pathagorean theoram to find the height of TV.

, where h is hypotenous, a is width or adjacent and b is height or opposite side.

∴

⇒

subtracting both side by 16

⇒

⇒

Taking sqaure root on both side.

Remember, √a²= a

⇒

∴

Hence, the height of TV is 3 inches.

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.