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Bingel [31]
1 year ago
14

How is Pascal's triangle used in binomial theorem?.

Mathematics
1 answer:
Scorpion4ik [409]1 year ago
7 0

To simplify the process of expanding a binomial of the type (a+b) n (a + b) n, use Pascal's triangle. The same numbered row in Pascal's triangle will match the power of n that the binomial is being raised to.

A triangular array of binomial coefficients known as Pascal's triangle can be found in algebra, combinatorics, and probability theory. Even though other mathematicians studied it centuries before him in India, Persia, China, Germany, and Italy, it is called after the French mathematician Blaise Pascal in a large portion of the Western world. Traditionally, the rows of Pascal's triangle are listed from row =0 at the top (the 0th row). Each row's entries are numbered starting at k=0 on the left and are often staggered in relation to the numbers in the next rows. The triangle could be created in the manner shown below: The top row of the table, row 0, contains one unique nonzero entry.

Learn more about triangle here

brainly.com/question/2773823

#SPJ4

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What is the volume of the figure​
Law Incorporation [45]

Answer:

5,376in^3

Step-by-step explanation:

find the volume of the smaller box first

10×4×12 = 480in^3

find volume of bigger box

17×12×24 = 4,896in^3

add both volumes 4,896 +480 = 5,376in^3

3 0
3 years ago
Read 2 more answers
The average human heart beats 75 times every minute. The average horse has a heartbeat of 40 times every minute. How many times
Effectus [21]

Answer:

4500

Step-by-step explanation:

multiply the amount of times the heart beats every minute and multiply it by how many minutes which is 60 so 75 times 60 is 4500

6 0
3 years ago
My answer is 8, but I'm not completely sure, if I'm wrong could someone please explain how to find the length.
Verdich [7]

By knowing that S is bisected by the line shown, we will conclude that PD = 8

So here we know that PC = 8, we also can see that:

  • PCS is a right triangle
  • PDS is a right triangle.

Notice that because the blue line bisects S, the angle at "S" on both of these right triangles is the same, and because both of these are right triangles, both must have a 90° angle.

Finally, if two angles are equal, then the 3 angles must be equal between these two triangles.

And notice that both of these triangles share one side, then:

Triangles we know for sure that triangles PCS and PDS have the same angles and one equal side.

This implies that the triangles are congruent, thus, the <u>measures of the corresponding sides must be the same.</u>

<u />

Then the length of the shorter side of both triangles must be the same, in triangle PCS the short leg measures 8 units, then in triangle PDS the short leg, PD, also must measure 8 units.

So you are correct.

If you want to learn more about congruent triangles, you can read:

brainly.com/question/12077512

8 0
2 years ago
Can i get help with 4,6, and 8 PLEASE HELP!!!!!!!!!! IM GONNA RUN OUTTA TIME!!!!
gogolik [260]
They are all even numbers
8 0
3 years ago
A motorboat covers the distance from one pier to the other pier in 4 hours and the way back in 5 hours. What is the speed of the
aleksklad [387]
R = speed in still water
r + c = speed with current
r - c = speed against current

3.5(r + c) = 70
r + c = 20
c = 20 - r

4(r + c) = distance from pier to pier
5(r - c) = distance from pier to pier
4(r + c) = 5(r - c)
4(r + 20 - r) = 5(r - 20 + r)
80 = 10r - 100
180 = 10r
18 = r
The speed in still water is 18 km/hour
3 0
3 years ago
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