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Veronika [31]
3 years ago
10

Negative 5 is fewer than 6 less than a number k

Mathematics
1 answer:
lara [203]3 years ago
7 0

Answer:

k > 1 is the solution.

Step-by-step explanation:

We are given that 'Negative 5 is fewer than 6 less than a number k', so algebraically it means that - 5 < k - 6.

Then this is a linear inequality of single variable k and we have to solve it.

Now, we have

- 5 < k - 6

⇒ - 5 + 6 < k - 6 + 6 {Adding 6 to both sides}

⇒ 1 < k

⇒ k > 1

This is the solution of the given inequality. (Answer)

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A circle with area 100π has a sector with a central angle of 2/5π radians.
Snowcat [4.5K]

Answer:

  20π square units

Step-by-step explanation:

The sector area is found using the proportion ...

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Multiplying by "circle area", we get ...

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3 0
3 years ago
Evaluate 6²-7²+8²-9²+..+998²-999²​
Llana [10]

Answer:

-499,485.

Step-by-step explanation:

We can transform this to an arithmetic series by  working it out in pairs:

6^2 - 7^2 = (6-7)(6+7) = -13

8^2 - 9^2 = (8-9)*8+9) = -17  

10^2 - 11^2 = -1 * 21 = -21 and so on

The common difference is -4.

The number of terms in this series  is (998 - 6) / 2 + 1

= 992/2 + 1 = 497.

Sum of n terms of an A.S:

= n/2 [2a1 + (n - 1)d  

Here a1 = -13, n = 497, d = -4:

Sum = (497/2)[-26 - 4(497-1)]

= 497/2 * -2010

= -499,485.

3 0
3 years ago
27 - (2 + 3) - 10 ÷ 2
svetlana [45]

Answer:

27_5_10/2

27_5_5

22_5

17

6 0
3 years ago
Read 2 more answers
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