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Ronch [10]
3 years ago
10

Which of the following is an arithmetic sequence?

Mathematics
1 answer:
Anna71 [15]3 years ago
5 0

Here is your answer

A. 1,3,5,7,9,11,.....

REASON :

In an AP their is a common difference between two consecutive terms.

i.e. t2-t1=t3-t2=t4-t3=....= constant

The option A satisfies above condition.

HOPE IT IS USEFUL

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How can I solve this?<br>Please use the simplest format​
IgorLugansk [536]

Answer:

option D is true.

Step-by-step explanation:

The right-angled triangle is shown.

From the right-angled triangle,

The angle Ф = 60°

We know that the trigonometric ratio

tan Ф = opposite / adjacent

  • opposite = 4
  • adjacent = n

Thus,

tan 60 = 4 / n

√3 = 4/n

n = 4/√3

Thus,

n = 4/√3

  = (4 × √3) / (√3 × √3)

  = 4√3 / 3

Thus,

n  = 4√3 / 3

Using Pythagorean theorem

m = √n²+4²

m=\sqrt{\left(4\cdot \frac{\sqrt{3}}{3}\right)^2+4^2}

m=\sqrt{\frac{4^2}{3}+4^2}

m=\sqrt{\frac{64}{3}}

m=\frac{8}{\sqrt{3}}

m=\frac{8\sqrt{3}}{3}

Thus,

  • m=\frac{8\sqrt{3}}{3}
  • n  = 4√3 / 3

Therefore, option D is true.

3 0
2 years ago
The difference of nine times a number and the quotient of 6 and the same number.​
Anvisha [2.4K]
If number is equivalent to x.
Answer is:
9•x-6/x
4 0
2 years ago
Erin is pouring cake batter into a pan. The pan she is using is 8 inches wide,
sergey [27]

Answer:

242.52 cubic inches

Step-by-step explanation:

Volume of the cake pan = Length × Width × Height

From the about question, we have the following dimensions for the cake pan

8 inches wide = Width

11 inches long = Length

7 cm deep = Height

We are asked to find the maximum volume in inches. Hence all the dimensions have to be in inches.

Converting Height in cm to inches

From the question,

2.54 cm = 1 inch

7cm = x inch

Cross Multiply

2.54 × x = 7 × 1

x = 7/2.54

x = 2.7559055118 inches

Volume of the cake pan =

8 × 11 × 2.7559055118

= 242.51968504 cubic inches

Approximately, the volume of the cake pan = 242.52 cubic inches

What is the maximum volume, in cubic

inches, the cake pan can hold is 242.52 cubic inches

3 0
3 years ago
John spends 22% of his monthly budget on his car payment, which is $400. Which proportion can be used to calculate John’s total
nikitadnepr [17]

Answer:

...

5 days ago — John spends 22% of his monthly budget on his car payment, which is $400. Which proportion can be used to calculate John's total monthly

7 0
3 years ago
What is the sign of -9. (0/-3)
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Answer:

- is the answers for the question

Step-by-step explanation:

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