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
Stella [2.4K]
3 years ago
10

NO ONE EVER ANSWERS MY QUESTIONS I NEED HELP PLEASE!!! 2 problems Given: △KLM LM=12, m∠K=60°, m∠M=45° Find: Perimeter of △KLM. a

nd Given: △MNO m∠M=45°, m∠O=30° MN=6 Find: NO, MO.
Mathematics
1 answer:
almond37 [142]3 years ago
4 0

To solve this problem we will use sinus theorem.

It's general form is

a/sinα = b/sinβ = c/sinγ  

In this case it reads ML/sin∡K = KL/sin∡M = KM/sin∡L  =>

ML/sin∡K = KL/sin∡M  =>  12/sin60° = KL/sin45° => 12/(√3/2) = KL/(√2/2) =>

2*12/√3 = 2*KL/√2 => We will divide whole equation with number 2 and get

12/√3=KL/√2 => KL*√3=12√2 => KL=(12√2)/√3

When we rationalize denominator we get  KL=4√6≈ 4*2.45= 9.8

Considering that we know two angles we will calculate the third

∡K+∡M+∡L=180° => 60°+45°+∡L=180° => ∡L= 180-105=75°

Reason- The theorem of the sum of the inner angles of the triangle

ML/sin∡K=KM/sin∡L => 12/sin60°=KM/sin75°

We will calculate  sin75° = sin (30+45)= sin30 *cos45+cos30*sin45 =>

sin75°= 1/2 * √2/2 = √3/2 * √2/2= √2/4 *(√3+1)≈(1.41/4)*(1.73+1)=0.96

12/(√3/2)=KM/0.96 => 12*2/√3=KM/0.96 => 13.87=KM/0.96 =>

KM=13.87*0.96= 13.31

Perimeter of ΔKLM => P=KL+ML+KM= 12+9.8+13.31= 35.11

In the same way you can calculate perimeter of ΔMNO.

Good luck!!!


You might be interested in
Write a equation for 10 less than j is 35
kakasveta [241]

Answer:

j - 10 = 35

Step-by-step explanation:

Given: 10 less than j is 35.

To find: The equation of the given situation.

Solution: We need to write an equation for 10 less than j is 35.

Here, we will break down the sentence to form the equation.

10 less than j means j - 10.

Then, it says 10 less than j is 35 which means it is equal to 35.

So, the sentence 10 less than j is 35 can be written as 10 less than j is equal to 35.

Now, 10 less than j is equal to 35 can be shown as j - 10 = 35.

Therefore, the required equation is  j - 10 = 35.

6 0
2 years ago
Read 2 more answers
19+7 divided by 2 - 5 with brackets to equal 8?
lina2011 [118]

Answer:

8

Step-by-step explanation:

Given that

19 + 7 divided by 2 - 5

So if we solve this we have to apply proper brackets

= (19 + 7) ÷ 2 - 5

= 26 ÷ 2 - 5

= 13 - 5

= 8

After solving this the answer is 8

7 0
2 years ago
What is the distance between (1,-5) and (-3,6)​
Wewaii [24]

Answer:

\large\boxed{\sqrt{137}\approx11.7}

Step-by-step explanation:

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have two points (1, -5) and (-3, 6). substitute:

d=\sqrt{(-3-1)^2+(6-(-5))^2}=\sqrt{(-4)^2+11^2}=\sqrt{16+121}=\sqrt{137}

4 0
3 years ago
22 more than four times a number is less than 82 <br><br> (Inequality equation)
Tanzania [10]

22^4c-82. Is the equation I think you are looking for.

5 0
3 years ago
WEIGHT. An actor gains 20 pounds for a part and then loses 15 pounds during the filming of the movie to go along with the story.
MatroZZZ [7]
Okay, what’s the rest of the question?
3 0
3 years ago
Other questions:
  • What is the minimum number of 7 passenger vans needed to transport 19 people? 12 6 4 3
    13·2 answers
  • Tom currently has 5 comic books in his collection and has subscribed to receive 5 new comic books each month. His uncle has 145
    13·1 answer
  • An apartment has
    8·1 answer
  • QUESTION 3 Which inequality is a true statement?
    11·1 answer
  • Please help
    13·2 answers
  • Which inequality is true when x = 4?
    5·2 answers
  • What are the slope and the y-intercept of the linear function that is represented by the equation 8 x minus 2 y = 5?
    5·1 answer
  • Find the solution of the system of equations.<br><br> −6x+6y= −24<br> −6x+9y= −45
    6·1 answer
  • Which inequality corresponds to the sentence "five less than the product of a number and 6 is at least 8"?
    12·1 answer
  • Helpppppppppppp!!!!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!