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Marat540 [252]
3 years ago
9

Find the 120th term of the following sequence 7, 14, 21, ... a120 =

Mathematics
1 answer:
dlinn [17]3 years ago
4 0

Answer:

840

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 14 - 7 = 21 - 14 = 7

This indicates the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 7 , thus

a_{120} = 7 + (119 × 7 ) = 7 + 833 = 840

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The measure of an exterior angle of a triangle and the sum of the measures of the two remote interior angles are _____________.
liberstina [14]

Answer:

The measure of an exterior angle of a triangle is supplementary to its adjacent interior angle. The sum of the remote interior angles must equal the measure of the exterior angle of the triangle.

Step-by-step explanation:

3 0
2 years ago
There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same sta
Morgarella [4.7K]

Answer:

a) rCn = 1176

b) 2352

Step-by-step explanation:

a)Each committee should be formed with 3 members ( no two members could be of the same state) then

Let´s  fix a senator for any of the 50 states so in the new condition we need to combined 49 senators in groups of 2 then

rCn =  n! / (n - r )! *r!

rCn =  49!/ (49 - 2)!*2!

rCn =  49*48*47! / 47!*2!

rCn = 49*48 /2

rCn = 1176

So we can choose in 1176 different ways a senator for a given state

b) To answer this question we have to note, that, 1176 is the number of ways a committee can be formed with senators of different sate (taking just one senator for state ) if we have 2 senators we need to multiply that figure by 2.

1176*2 = 2352

6 0
3 years ago
John and his family went out to eat at their favorite restaurant. The bill for the food was 65.00, and they a left 20% tip for t
alukav5142 [94]

Answer: Total cost of their meal is $78

Step-by-step explanation: 20% of 65 is a 13 dollars tip adding up to a total of $78

65*0.2 = 13

65+13=78

5 0
3 years ago
Can someone solve this question of trigonometry by finding the value of X ​
vekshin1
Answer: i put the equation into a calculator so i’m not sure if this is the right answer!!
explanation:

6 0
3 years ago
6. Monique is making an ottoman for her living room. She covers the top of the ottoman with fabric. How much surface would she n
pantera1 [17]
I believe she would need to stain 548 inches of the surface.

Excluding the top and bottom, you are left with two panels that are 10 by 7.4, and two panels that are10 by 20, so

10•7.4= 74•2 =148
10•20= 200•2 =400
148 + 400= 548

Please correct me if I am wrong, have a good day!
7 0
3 years ago
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