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]
3 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]3 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
7n + 5 =68.... how to solve this problem and show my work​
mart [117]

Answer:

n=9

Step-by-step explanation:

7n+5=68  Subtract 5 on both sides.

    <u>-5  -5</u>

7n=63       Divide both sides by 7.

<u>/7   /7</u>

n=9

Hope this helps! Have a nice day ^^

7 0
3 years ago
Read 2 more answers
Find the product of the given complex number and its conjugate.<br> 1/5+4i
nasty-shy [4]

Answer:

-15.96

Step-by-step explanation:

A conjugate is a binomial with the sign inside changed. So the conjugate of (1/5 + 4i) is (1/5 - 4i)

Set the original and the conjugate next to each other and F.O.I.L. Multiply the first numbers of each binomial, the 1/5 and the 1/5 to get 1/25. This is the "F."

Multiply the outer members, the 1/5 and the 4i to get - 60i. This is the "O."

Multiply the inner  numbers  ( the + 4i and the 1/5) to get + 60i. This is the "I."

Multiply the positive 4i and the negative 4i to get 16i squared

The positive 60i and the negative 60i cancel each other out.

The i squared changes into - 1. This makes the 16 negative.

Add 1/25 to - 16 to get - 15.96

4 0
3 years ago
What is 6(10b + 2) if b=5
ycow [4]

Answer:

312

Step-by-step explanation:

you do 10 times 5 and then u get 6(50 + 2) and then distribute the 6 and then you get 300 + 12 and then it's 312 is ur answer

7 0
4 years ago
Please help me!!!!!!!!!!!!
Vanyuwa [196]

Answer:

7 and 8

Step-by-step explanation:

7 and 8 because when you plug them in the value on left side is greater than right side

4 0
3 years ago
The sum of three consecutive numbers is 135<br> What is the smallest of the three numbers?
Svetllana [295]
Sonsecutive numbers is
first number=x
second=x+1
third=x+2 so

x+x+1+x+2=135 or add like terms
3x+3=135
subtract 3 from both sides
3x=132
divide by 3
x=44
firts number=44
next number=45
next number=46

numbers are 44,45,46
8 0
3 years ago
Read 2 more answers
Other questions:
  • A. (2,0)<br> B. (0,2)<br> C. (-2,0)<br> D. (0,-2)
    13·1 answer
  • For every two feet the ramp goes up it also goes 5 feet forward. If this ratio remained constant, how many feet high would the r
    13·1 answer
  • Product of x,x+1,x+2
    9·2 answers
  • Find the equation of the linear function represented by the table below in slope-
    12·1 answer
  • Determine whether the following problem involves a permutation or a combination and explain your answer. How many different ​-le
    10·1 answer
  • How do you simplify 6 to the power of 2 plus 15
    14·1 answer
  • Identify the slope and y- intercept y=2x + 2
    11·2 answers
  • Please help I’ll mark you as brainliest if correct
    7·1 answer
  • Domain And Range, Best answer will get brainliest
    10·1 answer
  • HELP?? A lunch combo has the following options: Entree: Hamburger, Hotdog, Chicken sandwich Side: Apples, Salad Drink: Milk, Wat
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!