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
IgorC [24]
2 years ago
6

What are the coordinates of the orthocenter of LMN ?

Mathematics
1 answer:
Sauron [17]2 years ago
8 0

Answer:

a (1, 2.5)

Step-by-step explanation:

When talking about the orthocenter, you want to make sure that the point you are looking for is in the exact center.  Since coordinate N of the x value is 1, we can safely assume that your top two choices are either a and b.  B wouldn't work since it is not at the exact center which makes your answer A.

You might be interested in
Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height,
omeli [17]

Answer:

The volume of pyramid B is 81 cubic units

Step-by-step explanation:

Given

<u>Pyramid A</u>

s = 4 -- base sides

V = 36 -- Volume

<u>Pyramid B</u>

s = 6 --- base sides

Required

Determine the volume of pyramid B <em>[Missing from the question]</em>

From the question, we understand that both pyramids are equilateral triangular pyramids.

The volume is calculated as:

V = \frac{1}{3} * B * h

Where B represents the area of the base equilateral triangle, and it is calculated as:

B = \frac{1}{2} * s^2 * sin(60)

Where s represents the side lengths

First, we calculate the height of pyramid A

For Pyramid A, the base area is:

B = \frac{1}{2} * s^2 * sin(60)

B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}

B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}

B = 4\sqrt 3

The height is calculated from:

V = \frac{1}{3} * B * h

This gives:

36 = \frac{1}{3} * 4\sqrt 3 * h

Make h the subject

h = \frac{3 * 36}{4\sqrt 3}

h = \frac{3 * 9}{\sqrt 3}

h = \frac{27}{\sqrt 3}

To calculate the volume of pyramid B, we make use of:

V = \frac{1}{3} * B * h

Since the heights of both pyramids are the same, we can make use of:

h = \frac{27}{\sqrt 3}

The base area B, is then calculated as:

B = \frac{1}{2} * s^2 * sin(60)

Where

s = 6

So:

B = \frac{1}{2} * 6^2 * sin(60)

B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}

B = 9\sqrt 3

So:

V = \frac{1}{3} * B * h

Where

B = 9\sqrt 3 and h = \frac{27}{\sqrt 3}

V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}

V = \frac{1}{3} * 9 * 27

V = 81

6 0
3 years ago
Read 2 more answers
What is the ans?<br> what is the ans of it
umka21 [38]
We have 20 chances out of 100 which is 20/100=1/5 other known as 1 in 5 chance

The even numbers are 2, 4, 6, .., 100. 50 chances out of 100 which is 50/100=1/2 other know as 1 in 2 chance
6 0
3 years ago
How do I do this explain
xeze [42]
So you would take 3x1+2 that gives you 5 and you would keep the same denominator and so that would give you 5/3 then do the same to the other side which would give you 5/4 then you would times it and that would give you 2 1/12
5 0
3 years ago
Read 2 more answers
HigherOrder thing name two rays with the same endpoint in the figure below. Do they form an angle? Explain.
Artist 52 [7]

Answer:

where is the figure?

Step-by-step explanation:

4 0
3 years ago
Find the values of the variables in the parallelogram. The diagram is not to scale.
monitta

Answer:

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • The area of a square boxing ring is 436 square feet. What is the approximate length, in feet, of one side of the boxing ring?
    12·2 answers
  • What is 144.44 rounded to the nearest tenth?
    13·1 answer
  • 1.5[3(14.5+7)-3]-7.4
    13·1 answer
  • How many feet is 24 yards
    8·2 answers
  • What is 12-11a=45<br> What is a?<br><br> 100 points
    11·2 answers
  • The average weight of a baby at birth is 7 pounds. how many ounces is the average weight of a baby?
    8·2 answers
  • 18=b/3+3 what's the solution
    9·2 answers
  • Suppose you have a set of measurements. What additional information would you need to describe the accuracy of the measurements?
    7·1 answer
  • Data from the Office for National Statistics show that the mean age at which men in Great Britain get married was 33.0. A news r
    5·1 answer
  • (3x²-21x-24)take out the highest common factor​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!