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3 years ago

Please help !!

Mathematics

2 answers:

Rama09 [41]3 years ago

6 0

Just add the two given angles together.

LekaFEV [45]3 years ago

6 0

This is just a process of adding the angles together. <BEG and <BEA make up angle <AEG. So adding 54 and 27 give you 81 which is the answer.

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What is the coefficient of the x5y5-term in the binomial expansion of (2x – 3y)10? 10C5(2)5(3)5 10C5(2)5(–3)5 –10C5(2)5(–3)5 10C

butalik [34]

ANSWER

$10C_5(2)^{5}( - 3)^5$

EXPLANATION

The given binomial expansion is:

${(2x - 3y)}^{10}$

Compare this to

${(a + b)}^{n}$

we have a=2x , b=-3y and n=10

We want to find the coefficient of the term

${x}^{5} {y}^{5}$

This implies that, r=5.

The terms in the expansion can be obtained using

$T_{r+1}=nC_ra^{n-r}b^r$

We substitute the given values to obtain;

$T_{5+1}=10C_5(2x)^{10-5}( - 3y)^5$

$T_{6}=10C_5(2x)^{5}(3y)^5$

$T_{6}=10C_5(2)^{5}( - 3)^5 {x}^{5} {y}^{5}$

Hence the coefficient is;

$10C_5(2)^{5}( - 3)^5$

5 0

3 years ago

Read 2 more answers

A soft-drink bottling company fills and ships soda in plastic bottles with a target volume of 354 milliliters. The filling machi

aksik [14]

Step-by-step explanation:

The unanimous Declaration of the thirteen united States of America, When in the Course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume among the powers of the earth, the separate and equal station to which the Laws of Nature

6 0

3 years ago

If 7 people each eat 3/8 pound of potato salad, how much potato salad will be eaten in all?

Amanda [17]

All you have to do is subtract 3/8 from 7 which would give you 9 and 1/3

6 0

3 years ago

The table below shows the numbers of tickets sold at a movie theater on Friday.

kondor19780726 [428]

Answer:

Number of Adult's tickets sold on Saturday = 3,356

Number of Children's tickets sold on Saturday = 2, 928

Total number of tickets sold over these two days is 8,938.

Step-by-step explanation:

Here, the number of tickets sold on FRIDAY:

Adult Ticket sold = 1,678

Children's Tickets sold = 976

So, the total number of tickets sold on Friday

= Sum of ( Adult + Children's ) tickets = 1,678 + 976 = 2,654 .... (1)

The number of tickets sold on SATURDAY:

Adult Ticket sold = 2 times the number of adult tickets sold on Friday

= 1,678 x 2 = 3,356

Children's Tickets sold = 3 times the number of children's tickets sold on Friday.

= 976 x 3 = 2, 928

So, the total number of tickets sold on Saturday

= Sum of ( Adult + Children's ) tickets = 3,356 + 2,928 = 6, 284 .... (2)

Now, the total number of tickets booked in these two days :

Sum of tickets booked on (Friday + Saturday)

= 2,654 + 6, 284 = 8,938

Hence, total number of tickets sold over these two days is 8,938.

6 0

3 years ago

Points A, B, and C are collinear. Point B is between A and C. Find the length of of segment AC if the measure of segment AB= 8 a

RoseWind [281]

Answer:

The value of the length of AC is 14

Step-by-step explanation:

When points are collinear, it simply means that the points lie on the same straight line.

In this question , we have three points which lie on same straight line.

These are points A, B and C with B between A and C.

Thus the length AC can be obtained by adding the length of AB to the length of BC

Mathematically, the value of the length of AC will be 8 + 6 = 14

7 0

3 years ago