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Elena-2011 [213]
3 years ago
14

Find the 92nd term of the arithmetic sequence -29, -22, -15, ...

Mathematics
1 answer:
kompoz [17]3 years ago
7 0

Answer:

608

Step-by-step explanation:

The appropriate general formula here is a(n) = a(1) + (n -1)d, where d is the common difference.  Here, d = +7.  Thus:

a(92) = -29 + (92-1)(7) = 608

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Please help with the question below
Llana [10]

Answer:

0, 120, 120, 150

Step-by-step explanation:

0, 120, 120, 150

Just multiply the speeds by the hour.

0 * 60 = 0

2 * 60 = 120

120 + 0 * 0.5 = 120

30 * 1 + 120 = 150

3 0
3 years ago
lenghts of the sides of a rectangular garden are in a ratio 1:2. Line connecting the centers of the adjacent sides of the garden
allsm [11]

Answer:

perimeter = 107.4 m

area =  640.82 m²

Step-by-step explanation:

The line connecting the the centers of the adjacent sides of the garden is 20 m long. The line is a diagonal that forms an hypotenuse sides of a triangle.

The length of side of the rectangle has a ratio of 1 : 2. This means one side has a length a meters and the other 2a meters.

Pythagoras theorem can be use to get a since a right angle is formed due to the diagonal.

(a/2)² + (2a/2)² = 20²

(a/2)² + (a)² = 20²

a²/4 + a² = 400

(a² + 4a²)/4 = 400

5a²/4 = 400

cross multiply

5a² = 1600

a² = 1600/5

a² = 320

square root both sides

a = √320

a = 17.88854382

a ≈ 17.90  

The required length is a = 17.90 m and the other side will be 17.90 × 2 = 35.80 m.

Area = length × breadth

area = 17.90 × 35.80 = 640.82 m²

perimeter = 2(l + b)

perimeter = 2(35.80 + 17.90)

perimeter = 2(53.7)

perimeter = 107.4 m

8 0
4 years ago
In rectangle KLMN, KM = 6x + 16, and LN = 49. Find the value of x.​
serious [3.7K]

Answer:

D. 5.5

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
2x+3x+y+2y combining like terms and distributive property
son4ous [18]

Answer:

5x+3y

Step-by-step explanation:

You combine the x's and the y's

7 0
3 years ago
at is another way to write the expression ​ p⋅(10−2) ​ ? (10⋅2)−p 10⋅2−p (10⋅2)⋅p (p⋅10)−(p⋅2)
Ostrovityanka [42]

Answer:

(p ⋅ 10) − (p ⋅ 2)

Step-by-step explanation:

Try to substitute "p" with any number.

Let's say p = 2

So

p ⋅ (10 − 2)

2 ⋅ (10 − 2)

2 ⋅ (8)

= 16

Now for the other equations

(p ⋅ 10) − (p ⋅ 2)

(2 ⋅ 10) − (2 ⋅ 2)

(20) - (4)

= 16

(10 ⋅ 2) − p

(10 ⋅ 2) − 2

(20 ) − 2

= 18

10 ⋅ 2 − p

10 ⋅ 2 − 2

20 - 2

= 18

(10 ⋅ 2) ⋅ p

(10 ⋅ 2) ⋅ 2

(20) ⋅ 2

= 40

Only (p ⋅ 10) − (p ⋅ 2) has the same result as p ⋅ (10 − 2).

Cheers

7 0
3 years ago
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