Isaac is buying a sweet new 60" 4K TV (this is the diagonal length). The width of the television is 52.3". What is the height of the television? Round to the nearest tenth of an inch.

29.4 inches

Step-by-step explanation:

We can visualize this as a right triangle, with a width of 52.3 inches and a hypotenuse measuring 60 inches.

We can then input this into the Pythagorean Theorem.

a² + b² = c²

52.3² + b² = 60²

2735.29 + b² = 3600

Subtract 2735.29 from both sides of the equation.

b² = 864.71

√b² = √864.71

b = 29.4059518

29.4059518 ≈ 29.4

its 50 miles away from the starting point

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi