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
Brrunno [24]
3 years ago
9

A triangular lot bounded by three streets has a length of 300 feet on one street, 250 feet on the second, and 420 feet on the th

ird. Find the measure of the largest angle formed by these streets. Which of the following equations can be used to solve the problem? 2502 = 3002 + 4202 - (2)(300)(420)cosx 3002 = 2502 + 4202 - (2)(250)(420)cosx 4202 = 3002 + 2502 - (2)(300)(250)cos

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
7 0

Answer:

420^2 = 300^2 + 250^2 - 2(300)(250)cosC

Step-by-step explanation:

a = 300

b= 250

c = 420

C= ??

Using Cosine rule

Cos C = (a^2 + b^2 - c^2) / 2ab

Cos C = (300^2 + 250^2 - 420^2) / 2*300*250

= (90000 + 62500 - 176400) / 150000

= -23900/150000

= -0.159

C = cos^-1(-0.159)

C = 80.85°

To find angle A

Cos A = (b^2 + c^2 - a^2) / 2bc

Cos A = (250^2 + 420^2 - 300^2) / 2*250*420

= (62500 + 176400 - 90000) / 210000

= 0.71

A = cos^-1(0.71)

A = 44.77°

A+B+C = 180°

B = 180 - (A+C)

B = 180 + (80.85 + 44.77)

B = 54.38°

You might be interested in
Which value is NOT equivalent to the other values?
Gre4nikov [31]

it's 0.4 while it may look like 4% it's actually 40% of 1

8 0
2 years ago
Read 2 more answers
3n - 5 = -8<br> what is the value of n?
lubasha [3.4K]
The value of n is 1 :)
8 0
3 years ago
Read 2 more answers
Tickets for a concert were \$5$5dollar sign, 5 for each child and \$8$8dollar sign, 8 for each adult. At one of the concerts, ea
OlgaM077 [116]

Answer:

Step-by-step explanation:

Let c represent the number of children that attended the concert.

Let a represent the number of adults that attended the concert.

At one of the concerts, each adult brought 4 children with them, and 10 children attended without an adult. This means that the number of children that attended is

c = 4a + 10

Tickets for a concert were $5 for each child and $8 for each adult. The total ticket sales were $1730. It means that

5c + 8a = 1730

Therefore, the systems of equations that can be solved to determine the number of children, c, and adults that attended the concert is

c = 4a + 10

5c + 8a = 1730

4 0
3 years ago
You need to hang seven pictures in a straight line, in how many ways can this be done?
Furkat [3]
This is simple. It is 7 factorial, or 7!. This just means 7*6*5*4*3*2*1, which is 5040.
3 0
3 years ago
PLEASE HELP ME I DONT UNDERSTAND MY HOMEWORK AND ITS TUE TODAY
Scrat [10]

Answer:

All of the above

Step-by-step explanation:

The question is asking you which equation you can use for you to find the value of the undefined variable, n.

In this case, all of the equations above are eligible to find the value of the variable n since regardless of the variable position, you will yet be able to find its value.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Lin's goal is to drink 8 cups of water every day. She drink 37 others before lunch today. How much more water does Lin need to d
    9·1 answer
  • Which shows the number subsets to which the number<br> - v144 belongs?
    6·1 answer
  • A bag contains:
    9·1 answer
  • Which of the following represents the set in words?
    8·1 answer
  • Help on this problem
    5·2 answers
  • ppppppppppppppppppppppppplllllllllllllllllllllllllllllllllzzzzzzzzzzzzzzzzzzzzzzzz hhhhhhheeeeelllpppppppp
    10·1 answer
  • Find each measure measurement indicated. Round your answers to the nearest tenth. Please show work​
    15·2 answers
  • -12x+3y=24<br> 1) y= -4x + 8<br> 2) y= 4x - 8<br> 3) y= 4x + 8<br> 4) y = -4x -8
    14·2 answers
  • Which describes money that is received from a sale of goods or services?
    9·1 answer
  • Which shows two triangles that are congruent by AAS
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!