1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Oxana [17]
3 years ago
6

Los angeles is 1,744 miles from chicago; chicago is 714 miles from new york; and new york is 2,451 miles from los angeles. The t

ree cities form a triangle. Find the measure of the angle in the triangle whose vertex represents chicago.
7°
121°
3°
170°​
Mathematics
1 answer:
klemol [59]3 years ago
3 0

Answer:

170°

Step-by-step explanation:

Let a be the distance from Los Angeles to Chicago = 1744 miles, b be the distance from Chicago to New York = 714 miles and c be the distance from New York to Los Angeles = 2451 miles.

A is the angle opposite to side a, B is the angle opposite to side b and C is the angle opposite to side c.

Therefore the angle at Chicago is  C.

From cosine rule:

c² = a² + b² - 2ab × cos (C)

2ab × cos (C) = a² + b² - c²

cos (C) = (a² + b² - c²) / 2ab

Substituting:

cos (C) = (1744² + 714² - 2451²) / 2×1744×741

cos (C) = -0.986

C = cos⁻¹ (- 0.986) = 170°

You might be interested in
(- 10.7) and (-3.5)
gogolik [260]

Answer:

-14.2

Step-by-step explanation:

5 0
2 years ago
What is 11- 9 1/4 simplfy
bija089 [108]

1 and 3/4 is the answer!

Hope this helps! May I have brainliest? :D

8 0
3 years ago
Graph the Systems of Equations below, then place a point indicating the solution to the system of equations.
dimulka [17.4K]

Answer:

Solution in image belo, make sure to put the lines on the right number's then out the point on (4, -3)

5 0
3 years ago
Read 2 more answers
Rewrite the fraction as a decimal -33/25
sergiy2304 [10]
To rewrite something as a decimal, simply divide the numerator and denominator.
-33 / 25 = -1.32
So -33/25 = -1.32
3 0
3 years ago
-3x + 22 greater than equal to -5
melamori03 [73]

Answer:

x is less than or equal to 9  

which is x ≤ 9

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • The average rainfall in the Florida Keys for January through March is 1.7 inches per month. On average, what is the total rainfa
    14·1 answer
  • Will give brainliest to correct answer! Given that cos Ф=-8/17 and sin Ф is negative, determine the value of tan Ф.
    7·1 answer
  • Instructions: Find the missing side. Round your answer to the<br> nearest tenth
    12·1 answer
  • Use technology to create an appropriate model of the data.
    10·2 answers
  • Write 33/72 in simplest form​
    7·2 answers
  • 36. Determine o valor de x em cada item:
    10·1 answer
  • If red oak lumber weighs 63 pounds per cubic foot, how much does one cord of red oak weigh? (A cord is a measurement for bulk wo
    7·1 answer
  • Simplify the given expression.
    11·1 answer
  • 253+147 what does it equal tell me the answer down below and you will get 21 points
    8·1 answer
  • Vehicle A has a final sale price of $25,000 at 5% interest and financing up to 60 months and vehicle B has a final sale price of
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!