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Mashutka [201]
3 years ago
6

lucy wants to put a cube-shaped storage box on a shelf that is 18 inches tall . The side of the box is 250 square inches . will

the box fit on the shelf ?
Mathematics
1 answer:
Orlov [11]3 years ago
8 0

Answer: Yes

Step-by-step explanation:

If the side of the cubic box is:

l^{2}=250 in^{2}

The length of each edge of this cube is:

l=\sqrt{250 in^{2}}

l=15.8 in

So, if the shelf that is 18 inches tall and l=15.8 inches the box wil fit on the shelf.

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In an A.P the term is -10 and the 15th term is 11 and the last term is 41. Find the sum of all terms in this progression.​
trapecia [35]
<h3>Answer:  542.5</h3>

This is equivalent to the fraction 1085/2

===============================================================

Explanation:

AP stands for "arithmetic progression", which is another name for "arithmetic sequence"

a1 = -10 is the first term

the 15th term happens when n = 15, so

an = a1 + d*(n-1)

a15 = -10 + d(15-1)

a15 = 14d-10

Set this equal to 11 (the stated 15th term) and solve for d

a15 = 11

14d-10 = 11

14d = 11+10

14d = 21

d = 21/14

d = 3/2

d = 1.5 is the common difference

Let's find the nth term

an = a1 + d(n-1)

an = -10 + 1.5(n-1)

an = -10 + 1.5n - 1.5

an = 1.5n - 11.5

-------------------------------

The last term is 41, so we'll replace the 'an' with that and solve for n

an = 1.5n - 11.5

41 = 1.5n - 11.5

41+11.5 = 1.5n

52.5 = 1.5n

1.5n = 52.5

n = (52.5)/(1.5)

n = 35

So the 35th term is 41.

-------------------------------

We're summing n = 35 terms from a1 = -10 to an = 41

S = sum of the first n terms of arithmetic progression

S = (n/2)*(a1 + an)

S = (35/2)*(-10+41)

S = 542.5

The 35 terms add up to 542.5 which is the final answer

As an improper fraction, this converts to 1085/2

8 0
3 years ago
What geometric term is named by its end point
GuDViN [60]

Answer: A line segment represents a collection of points inside the endpoints and it is named by its endpoints.

Also, These words are point, line and plane, and are referred to as the three undefined terms of geometry.

* Hopefully this helps:) Mark me the brainliest:)!!!

8 0
3 years ago
Which statement best describes a chord of a circle?
Ugo [173]
<span>A chord of a circle is a straight line segment whose endpoints both lie on the <span>circle
</span></span><span> The statement  that best describes a chord of a circle is 
</span>It is a segment that connects two distinct points on a circle
so the correct option is c
hope it helps
6 0
3 years ago
A company assigns to each of its employees an ID code that consists of one or two uppercase letters followed by a digit from 0 t
Mekhanik [1.2K]

Answer:

7020 codes

Step-by-step explanation:

For one upper case letter:

There are 26 letters in this scenario

For two upper case letters:

There are 26 * 26 letters in this scenario. Essentially, there are 676 letters in this scenario.

For one upper case letter:

There are 10 digits that can be applied to it. So therefore, there are 26 * 10 codes in this case.

That means, there are 260 codes for one upper case letter.

For two upper case letters:

There are 10 digits that can be applied to it. That is to day, there are 676 * 10 codes in this case.

This means, for two upper case letters, there are 6760 codes.

Finally, we add up the number of codes for one upper case letter, and that of two upper case letters together. As such, we have

6760 + 260 = 7020.

The company has 7020 codes available.

Please vote for brainliest.

5 0
3 years ago
How do I find a remainder whoth slot of numbers​
Aleonysh [2.5K]
Huh?? I’m confused about the question
8 0
3 years ago
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