abramsraeaunaox1ta9 abramsraeaunaox1ta9
  • 11-07-2018
  • Mathematics
contestada

using the law of Cosines, in triangle DEF, if e=18 yd, d=10 yd, f=22 yd, find angle D

Respuesta :

DeanR
DeanR DeanR
  • 11-07-2018

[tex]d^2=e^2+f^2-2ef \cos D[/tex]

[tex]d^2-e^2-f^2=-2ef \cos D[/tex]

[tex]\cos D = \dfrac{e^2+f^2-d^2}{2ef}[/tex]

[tex]\cos D = \dfrac{18^2+22^2-10^2}{2(18)(22)} = 59/66[/tex]

[tex] D= \arccos \dfrac{59}{66} \approx 26.63^\circ[/tex]

Answer Link

Otras preguntas

Which of the symbols correctly relates the two numbers below? Check all that apply. 25 ? 35
Marta deposits $15,000 in an account with 7% interest , compound annually. How much will Marta's account balance be after 15 years?
Which of the following groups was not targeted by the Ku Klux Klan in the 1910s and 1920s? a) Immigrants b) Protestants c) Catholics d) Jews
Please Solve - H divided by 4/9 for H= 5 1/3A) 2 10/27B) 10C) 12
what were the political and military structures of rome during the republic
write 4/5 . 3/8 in lowest terms.
In which one of the following sentences does the verb agree with the subject? a. the book that explains the plays is on the shelf. b. there is a million reaso
Cells are limited in size by their surface areas and what
is 8 x 6 =(4×6)+(4×6)true or false
how does your environment make you susceptible to communicable disease?