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blsea [12.9K]
3 years ago
15

Solve for x. 100° (2x+3) 51°

Mathematics
1 answer:
Evgen [1.6K]3 years ago
4 0
I think it’s im not sure 400x
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We form a committee of 8 people, to be chosen from 15 women and 12 men. (a) How many possible committee can be formed
eimsori [14]

Using the combination formula, it is found that 2,220,075 committees can be formed.

The order in which the people are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

<h3>Combination formula: </h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem, 8 people are chosen from a set of 12 + 15 = 27, hence:

C_{27,8} = \frac{27!}{8!19!} = 2220075

2,220,075 committees can be formed.

To learn more about the combination formula, you can take a look at brainly.com/question/25821700

3 0
2 years ago
A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a​ single-strand electric
larisa86 [58]

Answer:

525 x 1,050

A = 551,250 m²

Step-by-step explanation:

Let 'L' be the length parallel to the river and 'S' be the length of each of the other two sides.

The length of  the three sides is given by:

2S+L=2,100\\ L=2100-2S

The area of the rectangular plot is given by:

A=S*L\\A=S(2100-2S)\\A=2100 S -2S^2

The value of 'S' for which the area's derivate is zero, yields the maximum total area:

\frac{dA(S)}{dS}=\frac{d(2100 S -2S^2)}{dS}\\0= 2100 - 4S\\S=525

Solving for 'L':

L=2100-(2*525)\\L=1,050

The largest area enclosed is given by dimension of 525 m x 1,050 and is:

A = 525*1,025\\A=551,250\ m^2

5 0
4 years ago
Which answer is true
Veseljchak [2.6K]

\star=x\\\triangle=1\\\\\text{the equation:}\\\\5\star=5\triangle\\\\therefore\\\\5x=5\cdot1\\\\\boxed{5x=5}



Answer: D. 5x = 5

8 0
3 years ago
The sum of the measures of the angles is 180. The sum of the measures of the second and third angles is two times the measure of
grigory [225]
<h2>60,47,73</h2>

Step-by-step explanation:

Let the first angle be a degrees

Let the second angle be b degrees

Let the third angle be c degrees

It is given that sum of angles is 180 degrees.

so,a+b+c=180                      ...(i)

It is given that sum of the measures of the second and third angles is two times the measure of the first angle.

b+c=2\times a                     ...(ii)

It is given that the third angle is 26 more than the second.

c=26+b                                ...(iii)

using (ii) and (iii),

b+b+26=2a

b+13=a

using (i),(ii) and (iii),

a+b+c=a+a-13+26+b=a+a-13+26+a-13=3a

3a=180

a=60

b=a-13=60-13=47

c=26+b=26+47=73

3 0
3 years ago
1/4Wpw ww - 1/4BbwBwv - 1/4Ga Vw Gap<br><br> WTH help plz
Dima020 [189]

Answer:

Can you explain the question lol in so confused

Step-by-step explanation:

8 0
3 years ago
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