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
Enrollment at a school last year was 1220 this year the student population decreased by 10% how many total students are attendin
Umnica [9.8K]
I think 37%......................................................
8 0
3 years ago
Which of the following is a proportion?
poizon [28]

Answer:

Option C, 14/21=9/21 is the proportion.

Step-by-step explanation:

Given:

a.5/7 = 10/12

b.9/15 = 12/18

c.4/6 = 8/12

d.14/21 = 9/12

We have to find the proportions.

In proportion two ratios are equal, as it has an equality sign in between so both side must be of same ratio in its simplest form.

Let's work with option C

⇒ \frac{4}{6}=\frac{8}{12}

To find the simplest form we have to divide the numerator and denominator with same digit (or its factor).

Simplest form of  \frac{8/2}{12/2} = \frac{4}{6} , \frac{4/2}{6/2}= \frac{2}{3}

Simplest form of \frac{4}{6} = \frac{2}{3}

Both sides in option C have equal ratios of 2/3.

So 4/6=8/12 is in proportion.

6 0
3 years ago
What is the product?
Dmitriy789 [7]

Answer:

D

20s^3 + 50s^2 + 32s+6

Step-by-step explanation:

hope this helps

7 0
3 years ago
Read 2 more answers
The second statement is the of the first.
kipiarov [429]
B is the answer b.converse
5 0
2 years ago
*The rectangle to the left is divided into 12 shapes. One of them is a rectangle labeled with #1 and the remaining 11 shapes are
Mandarinka [93]

Given that the length of side of shaded area is 1 ft.

Making equal square of size of shaded area we have:

Horizontally number of shaded area are 12

Vertically number of shaded area are 11

So, the horizontal length of big rectangle is 12 ft.

The vertical length of big rectangle is 11 ft.

Area of big rectangle is 12*11

Area of given rectangle is 132 sq.ft.

6 0
3 years ago
Other questions:
  • What is 2n plus 3n plus 7 equals - 41 ?
    9·2 answers
  • Which of the following is a rational number?
    7·1 answer
  • If G(x)=5x^2-8x, find g(a)
    9·1 answer
  • Which is point (-12,6) in?
    12·2 answers
  • Which choice could be the equation of a line parallel to the line represented by this equation? y=7/4x - 6
    6·1 answer
  • Which algebraic equation models the English sentence, a number subtracted from 8 is equal to 4?
    5·1 answer
  • Si a es la raíz cuadrada de b ¿también - a será la raíz cuadrada de b?​
    5·1 answer
  • What decimal number is halfway between 20 and 21?
    10·1 answer
  • Trampoline Park has an admission fee, plus an hourly fee of $4.50. What is the initial value?
    10·1 answer
  • What is the value of this expression when x=2 and y=-4? -3(x-y)2
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!