In an arithmetic sequence, the 10th term is 37, and the 21st term is 4. Find the common difference and the first term

Mathematics

1 answer:

Masja [62]3 years ago

3 0

Answer:

Common difference is 3. And the first term is 64.

Step-by-step explanation:

The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between. And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64

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Please help me with this, step by step

Rudiy27

Answer:

c.x=8

d.x=2 5/6

e. x=4

Step-by-step explanation:

(2x-1)/3=5

2x-1=15

2x=16

x=8

(6x+1)/2=8

6x-1=16

6x=17

x=17/6=2 5/6

(7x-3)/5=5

7x-3=25

7x=28

x=4

8 0

4 years ago

The field inside a running track is made of a rectangle that is 84.39 m long and 73 m wide to gether with a half circle at each

klasskru [66]

Answer:

398.21 m

Step-by-step explanation:

The field inside a running track is made of a rectangle that is 84.39 m long and 73 m wide to gather with a half circle at each end.

So, the radius of each half circle will be $\frac{73}{2} = 36.5$ m.

Therefore, the total distance around the track i.e perimeter of the area covered by the track will be = 2 × Perimeter of each half circle + 2 × Length of the rectangle.

= Perimeter of full circle + 2 × Length of the rectangle.

= $2\pi r + 2l$