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Natasha_Volkova [10]
3 years ago
14

Find the area of this triangle..

Mathematics
1 answer:
DerKrebs [107]3 years ago
6 0

Answer:

<h2>Area =28.8</h2>

Step-by-step explanation:

\frac{bh}{2} \\\frac{8\times 7.2 }{2} \\= 57.5/2\\Area  = 28.8

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Which of the following statements regarding the expansion of (x + y)^n are correct?
kompoz [17]

Answer:

A, B and D are true statements.

Step-by-step explanation:

We are given a binomial expansion

(x+y)^n=^nC_0x^ny^0+^nC_1x^{n-1}y^1+^nC_2x^{n-2}y^2+...........+^nC_nx^0y^n

(x+y)^n=x^n+nx^{n-1}y+^nC_2x^{n-2}y^2+...........nxy^{n-1}+y^n

Now we will check each option

Option A: The coefficients of x^n and y^n both equal 1.

If we see first and last term of the expansion, This statement is true.

Option B: For any term x^ay^b in the expansion, a + b = n.

Let we take 3rd term of expansion ^nC_2x^{n-2}y^2

Here, a=n-2 and b=2

If we do  a+b = n-2+2=n

a+b=n is true statement.

Option C: For any term x^ay^b in the expansion, a - b = n.

Let we take 3rd term of expansion ^nC_2x^{n-2}y^2

Here, a=n-2 and b=2

If we do  a-b = n-2-2=n-4≠n

a-b=n is false statement.

Option D: The coefficients of x^ay^b and x^by^a are equal.

If we take second term from beginning and last of the expansion.

\text{Coefficient From beginning } nx^{n-1}y=n

\text{From last } nxy^{n-1}=n

This statement true.

8 0
3 years ago
A modified roulette wheel has 36 slots. One slot is​ 0, another is​ 00, and the others are numbered 1 through 34​, respectively.
Elena-2011 [213]

Answer:

P(win) = 0.4722

Step-by-step explanation:

Given

n = 36 --- slots

Even = 17 i.e. even numbers between 1 and 34 (inclusive)

Required

P(win)

The probabiity of winning is the number of even numbers divided by the total slot;

i.e.

P(win) = \frac{Even}{n}

So, we have:

P(win) = \frac{17}{36}

P(win) = 0.4722

7 0
2 years ago
Today, the mailman sorted 57 letters during his first hour of work, 69 letters during his second hour, 81 letters during his thi
mars1129 [50]
The answer is 93 

If we sorted out the number of each hours, the sequence will look like this

57 _    69  _  81  _ x  _ 105   

(in which x is the fourth hour of work)


We can see from the sequence that each hours, the mailman add additional 12 letters.
(69 - 57 = 12)
(81 - 69 = 12)   . . . . proof


So, the amount of letters on the fourth hour would be:
81 letters  + 12 letters = 93 Letters
5 0
3 years ago
15 points please help
Molodets [167]
The answer is x= -21

3x-3=6(x-10)
7 0
2 years ago
What is the next term in this arithmetic sequence?<br> 11, 8, 5, 2,...<br> 0-3<br> 06<br> 05
satela [25.4K]

Answer: the next term is -1

7 0
3 years ago
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