cravetyler4986 cravetyler4986
  • 14-09-2022
  • Mathematics
contestada


In Δ ABC, m ∠ B=26°, a=20 in., and c=10 in. Find b .

Respuesta :

Medunno13
Medunno13 Medunno13
  • 14-09-2022

Answer:

[tex]b = 10\sqrt{5-4\cos 26^{\circ}}[/tex]

Step-by-step explanation:

Using the Law of Cosines,

[tex]b^2 = a^2 + c^2 - 2ac \cos B \\ \\ b^2 = 20^2 + 10^2 - 2(20)(10)\cos 26^{\circ} \\ \\ b=\sqrt{500-400\cos 26^{\circ}} \\ \\ =10\sqrt{5-4\cos 26^{\circ}}[/tex]

Answer Link

Otras preguntas

samantha measured the dimensions of a rectangular poster frame. It was 3\4 yard long and 1\2 wide. What is the area of the frame
What component of the nervous system regulates voluntary muscle responses to external stimuli? Frontal lobe Parietal lobe Occipital lobe Temporal lobe
How to evaluate: 16% of 575 102% of 750 80 is 25% of what number?
Factor each expression 1. 3n + 9 2. t² + 4t 3. 15 + 20x
Which was NOT a primary motivation for Republicans to promote Congressional Reconstruction over those policies proposed by Lincoln and Johnson? a)Congress felt
write two expressions where the solution is 4
Kamals bedroom has an area of 120 square feet the width of the room is 5/6 the length of the room what are the dimension of kamals bedroom
Why was travel difficult in ancient Greece
what is the unit for resistance, voltage and current (all three separately)
How can waves transport energy without transporting matter from place to place