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Mariana [72]
2 years ago
10

Y!!!!!

Mathematics
1 answer:
fiasKO [112]2 years ago
7 0

This would be 7 1/9 or 64/9

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Prove the following statement.
jolli1 [7]
<h2>Step-by-step explanation:</h2>

As per the question,

Let a be any positive integer and b = 4.

According to Euclid division lemma , a = 4q + r

where 0 ≤ r < b.

Thus,

r = 0, 1, 2, 3

Since, a is an odd integer, and

The only valid value of r = 1 and 3

So a = 4q + 1 or 4q + 3

<u>Case 1 :-</u> When a = 4q + 1

On squaring both sides, we get

a² = (4q + 1)²

   = 16q² + 8q + 1

   = 8(2q² + q) + 1

   = 8m + 1 , where m = 2q² + q

<u>Case 2 :-</u> when a = 4q + 3

On squaring both sides, we get

a² = (4q + 3)²

   = 16q² + 24q + 9

   = 8 (2q² + 3q + 1) + 1

   = 8m +1, where m = 2q² + 3q +1

Now,

<u>We can see that at every odd values of r, square of a is in the form of 8m +1.</u>

Also we know, a = 4q +1 and 4q +3 are not divisible by 2 means these all numbers are odd numbers.

Hence , it is clear that square of an odd positive is in form of 8m +1

3 0
3 years ago
What is the median of 40,33,37,54,41,34,27,39,35
Sauron [17]

Answer:

It's 37

Step-by-step explanation:

The given data set is ;

40,33,37,54,41,34,27,39,35

We arrange the data set in ascending order to obtain;

{27,33,34,35,37,39,40,41,54}

The median is the middle number {37}

8 0
3 years ago
circle terms and simplify each of the following expressions. a. 3+1 *4+(-7) b. 50=3(-10)=2(-20) c.4+(-50)*2 d. (4+(-170))(5+(-4)
zhannawk [14.2K]

A. 3+4-7

0

B. 50=-30=-40

50=/=-30=/=-20

No solution

C. 4+-100

-96

D. (-166)(1)

-166

I obviously cannot circle terms and sadly the attachments don’t work for me but each term like each section

8 0
2 years ago
How much fabric is needed to make a tent in the shape of a triangular prism with the following measures?
makvit [3.9K]

Answer:

The fabric needs 196.4 ft²

Step-by-step explanation:

∵ The tent formed formed from 4 faces

 two equilateral triangles with side length 7 ft

 two rectangles with dimensions 11 ft and 7 ft

∵ Area equilateral Δ = 1/4 S²√3

∵ Area rectangle = L × W

∴ The area of the prism = 2 × 1/4 × (7)²√3 + 2 × 7 × 11

                                       = 196.4 ft²

Note:

If you find the area of the triangle by the rule 1/2 × base × height

∴ Area Δ = 1/2 × (7) × 6 = 21 ft²

∴ Area tent = 2 × 21 + 2 × 77 = 196 ft²

Two answer very closed

5 1
3 years ago
Read 2 more answers
What would x+2y=-2 in slope intercept form?
Alchen [17]

Answer:

y= - 1/2*x -1

Step-by-step explanation:

5 0
3 years ago
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