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
Dima020 [189]
3 years ago
10

ABCD is a square. M is the midpoint of BC and N is the midpoint of CD. A point is selected at random in the square. Calculate th

e probability that it will liein the triangle MCN.
Mathematics
1 answer:
almond37 [142]3 years ago
8 0

Answer:

1/8 or 0.125

Step-by-step explanation:

Let x be the length of the sides of the square ABCD.

Therefore, the length of CN and CM is x/2.

The area of the triangle MCN is:

A_t = \frac{0.5x*0.5x}{2}=\frac{x^2}{8}

The area of the square ABCD is:

A_s =x*x =x^2

Thus, the probability that a random point lies in the triangle MCN is:

P=\frac{A_t}{A_s}=\frac{\frac{x^2}{8}}{x^2}=\frac{1}{8}=0.125

The probability that the point will lie in the triangle MCN is 1/8 or 0.125.

You might be interested in
PLEASE I NEED HELP 10 points (dont waste them) What is the area of this figure?
meriva

Answer:

1280

Step-by-step explanation:

I think it is 1280 because 20*16*8/2=1280. I am not 100% sure.

4 0
3 years ago
What is the volume of a right trianular prism with the dimesions of 15 11 17
Harlamova29_29 [7]

Answer:

1402.5 Cubic Units

Step-by-step explanation:

Volume of a Triangular Prism: V = \frac{1}{2}bhl

b - base

h - height

l - length  

15 is the height, 17 is the length, and 11 is the width  (assuming which is the base).

V=0.5 * (11 * 15 * 17) \\V=0.5*2085\\V=1402.5

The volume of the prism should be 1402.5 cubic units.

3 0
3 years ago
GEOMETRY PLEASE HELPPP!! WILL MARK BRAINLIEST
MaRussiya [10]
I think the answer is the 3rd rectangle but I'm not too sure I'm sorry
4 0
3 years ago
Read 2 more answers
How many ft2 are in a rectangle 12.6 yd long and 8.6 yd wide? (A = lw)​
Usimov [2.4K]

Answer:

108.36 ft2

Step-by-step explanation:

Use the facts we already know and plug them into the equation.

a=12.6(8.6)

If we multiply both factors, we get 108.36.

So, the rectangle is 108.36 ft2

3 0
3 years ago
PLEASE ANSWER 100 PTS AND WILL MARK BRAINLIEST.
timofeeve [1]

Answer:

1

Step-by-step explanation:

We have the graph of f(x).

In order to find f(0), we simply need to find the y-coordinate of the coordinate when x is 0.  

From the graph, we can see that there is a point at (0,1).

In other words, when x is 0, f(x) is 1.

Therefore:

f(0)=1

3 0
3 years ago
Read 2 more answers
Other questions:
  • 4x=124 what is the solution to this equation?
    8·2 answers
  • What is the distance between point L (8,9) and Z (-10,0), to the nearest tenth of a unit
    7·1 answer
  • 5/7 - 3/5 =? in simplest form ??
    15·1 answer
  • Question1: A ball is shot from a cannon into the air with an upward velocity of 10 ft/sec. The function h(t) =-2t^2 + 10t + 12=
    11·1 answer
  • Classify each figure on the triangle
    14·2 answers
  • Find the product. (102)3
    15·2 answers
  • Determine the intercepts of the line.
    5·1 answer
  • Lukas is trying to lose weight. He starts the year
    10·2 answers
  • A 1x1 square and an n-tiling is a group of n tiles placed so that every tile is contiguous along at least one side to another ti
    7·1 answer
  • Maggie opens a bank account with $15. She plans to put $5 in each week.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!