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Sav [38]
3 years ago
8

A square sheet of paper measures 25 centimeters on each side. What is the length of the diagonal of this paper?

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
6 0

Answer:

35.36 cm

Step-by-step explanation:

The diagonal of a square will be given by

D=\sqrt {a^{2}+b^{2}}

Where a is the length of one side and b is the length of another side. For a square, botj sides are equal hence the diagonal calculations will be as follows

Given that a is 25 then

D=\sqrt {25^{2}+25^{2}}

D=35.3553390593274

Rounding off the nearest two decimal place

D=35.36 cm

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Find the sum of the counting numbers from 1 to 25 inclusive. In other words, if S = 1 + 2 + 3 + ... + 24 + 25, find the value of
Anastaziya [24]

Answer:

325

Step-by-step explanation:

You must have heard about Arithmetic Progressions (AP)

Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.

Our very own counting numbers form AP

For example :-

2 = 1 + <u>1</u>

3 = 2 + <u>1</u>

4 = 3 + <u>1</u>

The number in bold (1) is that constant number which is added to a number to form its successive number.

To find the sum of series forming AP, we use the formula :-

sum =  \frac{n}{2} \{ a  + a  _{n}  \}

here,

  • n is the number of terms
  • a is the first number of the series
  • an is the last number of the series

So we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).

and n is 25

S  =   \frac{25}{2}\{ 1  +25\}

=  \frac{25 \times 26}{2}

= 25  \times 13

= 325

So, the value of S comes out to be 325.

8 0
3 years ago
Read 2 more answers
Given that ∆MTW ≅ ∆CAD, which angles are corresponding parts of the congruent triangles?
evablogger [386]
Answer:
∠T ≅ ∠A
Step-by-step explanation:
Since, ∆MTW ≅ ∆CAD
Therefore, ∠T ≅ ∠A (cpct)
3 0
3 years ago
What is 10 + 15k equivalent <br> Plz hurry
iVinArrow [24]

Answer:

if you mean 15k as is 15 thousand then the answer would be 15,010

7 0
3 years ago
What is the least common multiple of 6, 12, and 14?
VashaNatasha [74]

Answer:

84

Step-by-step explanation:

2x2x3x7=84

8 0
3 years ago
Cira is going for a run on a trail.so far she has 6/4 of a mile.she still has 2/3 Of the trail left to run.how long is the trail
Anastaziya [24]
(6/4) (2/3) times the denominators (4x3=12) then times (6x3 and 4x2) add the two answer together which should be 26/12 then reverse it. 12/26 = 6/13 (I'm English so might be different for you)
3 0
3 years ago
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