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Tasya [4]
2 years ago
14

Find the sum of the sequence. 42+43+44+45+...+107

Mathematics
1 answer:
8090 [49]2 years ago
8 0

Answer:

4917

Step-by-step explanation:

<u>Given sequence: </u>

  • 42, 43, 44, 45, ..., 107

This is AP with common difference of 1, the first term of 42 and the last term of 107

<u>Number of terms:</u>

  • 107 - 42 + 1 = 66

<u>Sum of the terms:</u>

  • Sₙ= 1/2*n*(a₁+aₙ)
  • Sₙ= 1/2*66*(42+107) =  4917

<u>Answer is:</u> 4917

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3 years ago
Karina and Perry are cleaning up litter in the park for community service hours. Karina and Perry both claim they have covered t
alexgriva [62]

Answer:

Perry's claim is correct while Karina is incorrect

Step-by-step explanation:

Question is incomplete (See Attachment)

First, we need to determine the area covered by Karina and Perry

For Karina, there are 9 square boxes each of which has an area of 1 unit sq

So:

Karina = 9 * 1\ unit^2

Karina = 9\ unit^2

For Perry:

There are 18 square boxes, each of which has an area of 1 unit sq.

So:

Perry = 18 * 1\ unit^2

Perry = 18\ unit^2

Comparing both areas, we can conclude that <em>Perry's claim is correct while Karina is incorrect</em>

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2 years ago
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Answer:

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Step-by-step explanation:

7 0
2 years ago
Find volume of sphere in cubic yards whose radius is 5 yard<br><br> Use pi = 3.14​
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Answer:

523.333 cubic yards

Step-by-step explanation:

The formula for the volume of a sphere is  \frac{4}{3}\pi r^{3} where r is the radius.

The radius of the given sphere is r=5 yards and \pi =3.14.

Therefore, we can substitute in the radius and solve:

V_{sphere}= \frac{4}{3}\*\times3.14\times  5^{3} =523.333 cubic yards

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