kimberlyjoya96 kimberlyjoya96
  • 22-07-2021
  • Mathematics
contestada

What is the area of triangle ABC? Round to the nearest whole number

What is the area of triangle ABC Round to the nearest whole number class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 26-07-2021

9514 1404 393

Answer:

  C.  837

Step-by-step explanation:

The remaining angle is ...

  C = 180° -A -B = 180°-62° -67° = 51°

The law of sines tells us that the length AC is ...

  AC/sin(B) = AB/sin(C)

  AC = AB·sin(B)/sin(C) = 40·sin(67°)/sin(51°)

Using the area formula given, we now have ...

  area = 1/2(AB)(AC)sin(A)

  = (1/2)(40)(40·sin(67°)sin(62°)/sin(51°) ≈ 836.7

The area of the triangle is about 837 square units.

Ver imagen sqdancefan
Answer Link

Otras preguntas

What was Odysseus' greatest accomplishment in the Trojan war?
tasha claims that her skateboard weighs about 3 pounds. is tasha's claim reasonable
What are four ways that rocks are physically weathered to form soil
Roberto says, "All dogs bark. Spot is a dog. Therefore, Spot barks." This is an example of A) conservation. B) transitive inference. C) inductive reasoning. D)
Which of the following about abiotic factors in ecosystems is true? a. Abiotic factors in healthy ecosystems are not in balance. b. Abiotic factors are located
Write the integer that best represents 23 degrees below zero.
Explain who can be a victim of abuse and how to prevent it.
what are the coordinates of Jefferson High Schools courtyard
Which statement about novels is correct? A. Novels tend to have subclimaxes built in throughout the story. B. Novels are slightly more limited in how many chara
The European Recovery Program was also called the