briannahernandez1215
briannahernandez1215 briannahernandez1215
  • 01-04-2021
  • Mathematics
contestada

A rectangle is 7 ft by 12 ft. Find the length of its diagonal. Round to the nearest tenth.

Respuesta :

thebecks
thebecks thebecks
  • 01-04-2021

Answer:

13.9

Step-by-step explanation:

7² x 12² = 49 + 144 = 193

√193= 13.89

Answer Link
pjwhite
pjwhite pjwhite
  • 01-04-2021
Divide the rectangle into two right triangles, like in the photo

you now have two congruent right triangles with 7ft and 12ft long legs

Use the pythagorean theorem to find the missing diagonal length (aka hypotenuse)

7^2 + 12^2 = c^2

49 + 144 = c^2

c^2 = 193

Square root both sides to get rid of the ^2

c = 13.9 ft
Ver imagen pjwhite
Answer Link

Otras preguntas

solve this system of linear equations y=3x+1 -x+2y=-3
what are the factors of the following quadratic equation 12=x^2-x
joshua drinks 8 cups of water a day. The recommened daily amount is given in fluid ounces. How many fluid ounces of water does he drink each day?
when was the french second republic set up and how were legislators elected
Name two primary decomposers and describe their function in the recycling of life materials..
what is 3x-4y=4 in linear equations
What role does the stock market play in a market economy? It provides businesses with money for growth in exchange for shares of ownership. It provides the gove
in a standard dictionary where can you find the key to punctuation marks a in in appendix be in the front of the dictionary see at the bottom of each page D wit
how does a camera refract light
Which emotional force played a large role in the unification of Italy and Germany? A. expressionism B. pacifism C. dualism D. nationalism