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
kolezko [41]
1 year ago
6

What is the distance between points M and N?

Mathematics
1 answer:
Free_Kalibri [48]1 year ago
6 0

By using <em>triangle</em> properties and the law of the cosine twice, we find that the distance between points M and N is approximately 9.8 meters.

<h3>How to determine the distance between two points</h3>

In this problem we must determine the distance between two points that are part of a triangle and we can take advantage of properties of triangles to find it. First, we determine the measure of angle L by the law of the cosine:

\cos L = \frac{(19.6\,m)^{2}-(14.8\,m)^{2}-(21.4\,m)^{2}}{-2\cdot (14.8\,m)\cdot (21.4\,m)}

L ≈ 62.464°

Then, we get the distance between points M and N by the law of the cosine once again:

MN = \sqrt{(7.4\,m)^{2}+(10.7\,m)^{2}-2\cdot (7.4\,m)\cdot (10.7\,m)\cdot \cos 62.464^{\circ}}

MN ≈ 9.8 m

By using <em>triangle</em> properties and the law of the cosine twice, we find that the distance between points M and N is approximately 9.8 meters.

To learn more on triangles: brainly.com/question/2773823

#SPJ1

You might be interested in
What is the length of the altitude of the equilateral triangle below?
balandron [24]

\bf \textit{height or altitude of an equilateral triangle}\\\\ h=\cfrac{s\sqrt{3}}{2}~~ \begin{cases} s=\stackrel{length~of}{a~side}\\ \cline{1-1} s=8\sqrt{3} \end{cases}\implies h=\cfrac{8\sqrt{3}\cdot \sqrt{3}}{2}\implies h=\cfrac{8\sqrt{3^2}}{2} \\\\\\ h=4\cdot 3\implies h=12

3 0
3 years ago
The scatter plot below shows the relationship between the outside temperature and the number of cups of hot chocolate sold at an
Alenkasestr [34]

Answer:

B

Step-by-step explanation:

6 0
3 years ago
A few more left <br> IMA GIVE EVERYTHING FOR THISS
ohaa [14]
<h2>Answer:</h2><h2>-4</h2><h2 /><h2>Hope this helps!!</h2>
3 0
3 years ago
Read 2 more answers
Simplify each expression using order of operations. (the one that’s circled)
Zepler [3.9K]

Answer:

18

Step-by-step explanation:

1. 6x6=36

2. 8+36=44

3. 44/11=4

4. 7x2=14

5. 4+14=18

5 0
2 years ago
33 1/3% of 360 please help I don’t understand
Mars2501 [29]

Answer:

33 1/3% of 360 is 120

Step-by-step explanation:

33 1/3 can be converted to 33.333% or simply just 1/3, divide 360 by 3 to get your answer which is 120.

3 0
2 years ago
Read 2 more answers
Other questions:
  • What is the product?<br><br> (6r − 1)(−8r − 3)
    9·2 answers
  • The dwarf seahorse hippocampus zosterae swims at a rate of 52.68 feet per hour.convert this speed to ines per minute
    12·1 answer
  • What is the coefficient of the variable in the expression 6-4x-8+2
    10·1 answer
  • Find the slope between (-3,7) and (2,-3)
    9·1 answer
  • This is Algebra 1 functions and I'm struggling with this one function-
    15·1 answer
  • Jessica used Fraction 2 over 3 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 3 over 4 yard
    5·2 answers
  • What is: 1.2 x 5 x 1 =
    6·2 answers
  • Between what two consecutive whole numbers<br> does 68 lie?
    8·1 answer
  • Please I need help<br> Please
    15·2 answers
  • A regular meal at a restaurant costs $6. A deluxe meal at the restaurant costs $3 than a regular meal. A group visits the restau
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!