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
ryzh [129]
2 years ago
8

A triangular field has sides 218.5 and 213.3 and the angle between them measures 58.96°. Find the area of the field.

Mathematics
1 answer:
Zolol [24]2 years ago
4 0

Answer:

The area of the field = 19966.21 units²

Step-by-step explanation:

* Lets explain how to find area of a triangle by trigonometry rule

- In any triangle if you have the lengths of two sides and the measure

 of the including angle between these two sides, then the area of the

 triangle is A = \frac{1}{2}s_{1}s_{2}sin\alpha , wher α is the

 including angle between them

* Lets solve the problem

∵ The field is shaped triangle

∵ The lengths of two sides of the field are 218.5 and 213.3

∴ s1 = 218.5

∴ s2 = 213.3

∵ The measure of the angle between the two sides is 58.96°

∴ α = 58.96°

- Lets find the area using the rule of trigonometry

∴ A=\frac{1}{2}(218.5)(213.3)sin(58.96)=19966.21

∴ The area of the field = 19966.21 units²

You might be interested in
What is 9k + 1 = ─9 + 7k solved for the variable???
m_a_m_a [10]

Answer:

k = -5

Step-by-step explanation:

The variable is k

9k + 1 = -9 + 7k

-7k        -1

2k = -10

2k/2  -10/2

k = -5

:)

4 0
3 years ago
Can anyone help me with number 10??
Galina-37 [17]

Answer:

y=−4/3x+10

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the slope-intercept form  y=mx+b to find the line perpendicular to  3x−4y=−2.

4 0
3 years ago
What is the reciprocal of 3 and 1/5
Vaselesa [24]
1/3 and 5 because 3/1 is three and 1/3 is the opposite while 1/5 is 5/1 which is 5.
4 0
3 years ago
Read 2 more answers
At which values of x does the function f(x) have a vertical asymptote
Pani-rosa [81]

Answer:

A. 0

E. -3

F. 9

Step-by-step explanation:

You can't divide by 0; it is undefined. So if x cannot equal zero, then anything that turns the denominator to zero is an asymptote. Therefore, the roots of the cubic expression would be excluded, and we get our final answers.

3 0
3 years ago
A soccer team played 160 games and won 65 percent of them. How many games did it win ? Please show work
galben [10]
To find the percent of games the soccer team won, you would do 160 multiplied by 0.65, because if you were to convert the 65% into a decimal, you would get 0.65. Notice the key word, "of". This refers to multiplication. So when doing 160*0.65, you get 104 games won. Therefore the soccer team won 104 of their games.

Hope this helps! :D Feel free to ask more questions, or ask me questions about my explanation.
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the slope of the line described by the equation below y= 3x-6 A. (0,-6) B. (0,-3) C. (0,6) D. (0,3)
    14·2 answers
  • Ginny has a sheet of plywood that is 4 feet by 8 feet. She wants to saw the plywood into pieces 1 foot high and 2 feet long for
    10·1 answer
  • A bike rental company charges $60 for the first hour, and $25 for each additional hour. Michael wants to spend less than $200 on
    5·1 answer
  • What is the slope of the equation -4x-7y=-14
    13·1 answer
  • Least common multiple of 5 and 6
    6·2 answers
  • Help? I forgot how to do this, I don't get the example either, I did the same thing it did but it didn't work. May you please ex
    13·2 answers
  • Grafico de deportes: fútbol 30%, atletismo 25%, tenis 5%, voleibol 10%, basquetbol 20%. Si 165 jóvenes prefieren el fútbol ¿cuan
    6·1 answer
  • What is the correct line graph for y=3x+5?
    14·1 answer
  • To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before ad
    5·2 answers
  • What is the integration of the function x^2+y^sin(floor(x)))
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!