joriwilliams8979 joriwilliams8979
  • 11-11-2020
  • Mathematics
contestada

He width of a rectangular postcard is 4 inches and the diagonal is 7.6 inches long. What is the length of the postcard? Round your answer to the nearest hundredth.

Respuesta :

adioabiola
adioabiola adioabiola
  • 12-11-2020

Answer:

Adjacent = x = length = 6.46 inches

Step-by-step explanation:

Given the width and diagonal of a rectangular postcard,

Find the length using Pythagoras theorem

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse = 7.6 inches

Opposite = 4 inches

Adjacent = x

Hypotenuse ² = opposite ² + adjacent ²

7.6² = 4² + x²

57.76 = 16 + x²

subtract 16 from both sides

57.76 - 16 = x²

41.76 = x²

Find the square root of both sides

x = √ 41.76

= 6.46

x = 6.46 inches

Adjacent = x = length = 6.46 inches

Answer Link

Otras preguntas

Which graph represents y= ^3 sqrt x-5?
Which type of angles have the same measure after being rotated, reflected, or translated in a coordinate plane?
The standard size of a rectangular placemat is 14 inches by 16 inches. How much fabric is needed to make 6 standard placemats? 90 in² 224 in² 672 in² 1,344 in
¿Cómo te vistes para el concurso, Marcos? - ____ con traje y corbata. A. Se viste B. Te vistes C. Nos vestimos D. Me visto
what is the y=value of the vertex y=-x squared -10x+24
What is 8x8? I need help I'm in 3 rd grade
In how many ways can a committee of 4 be chosen from a group of 9 people? 36 126 3,024
I need help with the conclusion questions please
PLZ HELP ME 1)While preparing your speech on restaurant etiquette to the wait staff of a restaurant, you decide to grab their attention in your introduction by
Answer Numbers 5-8 with work