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gulaghasi [49]
3 years ago
13

Nd the 52nd term and the term named in the problem 40, 140, 240, 340, ...Find a 32​

Mathematics
1 answer:
Galina-37 [17]3 years ago
5 0

Answer:

5140 and 3140

Step-by-step explanation:

Note there is a common difference d between consecutive terms in the sequence, that is

d = 140 - 40 = 240 - 140 = 340 - 240 = 100

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 = 40 and d = 100, thus

a_{52} = 40 + (51 × 100) = 40 + 5100 = 5140

a_{32} = 40 + (31 × 100) = 40 + 3100 = 3140

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attashe74 [19]
For this case what we must do is use the law of cosines.
 We then have the following equation:
 c ^ 2 = a ^ 2 + b ^ 2 - 2 * a * b * cos (x)

 Where,
 a, b: sides of the triangle
 x: angle between sides a and b.
 Substituting values we have:
 c^2 = 90^2 + 75^2 - 2*90*75*cos(85)

 Clearing the value of c we have:
 c =  \sqrt{ 90^2 + 75^2 - 2*90*75*cos(85)}
 Answer:
 
An expression that is equivalent to how many feet the oak trees are from each other is:
 
c = \sqrt{ 90^2 + 75^2 - 2*90*75*cos(85)}
7 0
3 years ago
Plz help me with this questions and show working out thanks
Paraphin [41]

Answer:  The steps and answers to the first two are below but you need to understand slope  = change in y / change in x  = y2 - y1/ x2 - x1  

And you need to understand  y = mx + c  

m= slope   c is y intercept

Substitute either point given  - only use one as the x and y  and find c

Step-by-step explanation:

1.      You need to follow the steps -

          the point is given as  (2,5)  = (x,y)  

So what this means is  x =2 and y =5

Simple substitutions is the step  5   = 3 x 2 + c

                                                     5 = 6 + c  or easier to see is  c + 6 =5

subtract 6 from both sides   c +  6   =  5

                                                    -6      -6

                                           __________________

                                              c           =  -1

2.

 x1,y1           x2,y2

( 3,2)   and (5,6) are two points on the line  

you already calculate the slope which is   m = noy2-y1/x2-x1 = 6-2/5-3 = 4/2 = 2

Remember y= mx + c

                   y = 2 x + c

now substitute in (3,2) which is (x1, y1) into the x and y in your equation

                  2  = 2 (3)  + c

                  2 = 6 + c

 subtract 6 from both sides

                  -4 = c

Now you should use this and do your last question  yourself

5 0
2 years ago
What is the value of x 2/3-1=11.
never [62]

Answer:

18

Step-by-step explanation:

4 0
3 years ago
What is square root?
Tomtit [17]
The square root of a number is multiplying that number by its self so like 2² which is 2 squared. the answer would be 2 x 2 = 6 hope this helps!

7 0
3 years ago
Subtract the equating of 15 ÷ 3 from the sum of 33 and 7
Gnesinka [82]

33 + 7 = 40

15 / 3 = 5

Subtract the answer of the division problem from the sum of 33 and 7. Your answer would be:

40 - 5

Simplified:

35

7 0
3 years ago
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