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FinnZ [79.3K]
3 years ago
13

(Second Question in photo)

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
7 0

Answer:

Option (D). \frac{\pi }{4}

Step-by-step explanation:

Perimeter of a square is given by the expression,

P = 4(Side)

Since length of a side of the given square = 2r

P = 4(2r)

  = 8r

Circumference of a circle is represented by,

C = 2πr

Ratio of the Circle' circumference and perimeter of the square = \frac{C}{P}

\frac{C}{P}=\frac{2\pi r}{8r}

   = \frac{\pi }{4}

Therefore, Option (D) represents the ratio of circumference of the circle and perimeter of the square.

You might be interested in
Find the Quotient 8372divided by 5
igomit [66]

Answer:

The correct answer would be 1674.4

Step-by-step explanation:

1. Write the problem in long division format.

2. Divide 8 by 5 to get 1.

3. Multiply the quotient digit (1) by the divisor 5.

4. Subtract 5 from 8 to get 3.

5. Bring down the next number of the dividend.

6. Divide 33 by 5 to get 6.

7. Multiply the quotient digit (6) by the divisor 5.

8. Subtract 30 from 33.

9. Bring down the next number of the dividend.

10. Divide 37 by 5 to get 7

11. Multiply the quotient digit (7) by the divisor 5 .

12. Subtract 35 from 37.

13. Bring down the next number of the dividend.

14. Divide 22 by 5 to get 4

15. Multiply the quotient digit (4) by the divisor 5

16. Subtract 20 from 22.

The solution for the Long Division of 8372/5 is 1674 with a remainder of 2 or as 1674.4

(I am sorry I am not able to show the long division, but I hope this helps)

8 0
3 years ago
Can someone plss help ASAP
Elza [17]

Answer:

8.2.69 ≤ x ≤ 17.31

11. x-7.31 ≤ 10

12. x≤17.31

Let the amount in the other Piggybank be x.

If positive;

x-7.31 ≤ 10

x ≤ 10+7.31

x ≤ 17.31

If negative

-(x-7.31) ≤ 10

-x+7.31 ≤ 10

-x ≤ 10-7.31

-x ≤ 2.69

Multiply both sides by -1

x ≥ -2.69

The compound inequality representing the amount of money in the other bank is -2.69≤x≤17.31

Step-by-step explanation:

4 0
2 years ago
Use fraction models to solve each
Alekssandra [29.7K]

Answer:

\frac{5}{6}

Step-by-step explanation:

<u>Fraction Models</u>

Given a number N, to model the process of sharing N into M equal parts we use the division N/M or the fraction

\frac{N}{M}

There are N=5 cakes to be shared between M=6 people, thus the fraction that represents or models the situation is

\mathbf{\frac{5}{6}}

4 0
3 years ago
Find the value of x <br> A) 3<br> B) 14<br> C) 5<br> D) 2
vesna_86 [32]

Answer:

C) 5

Step-by-step explanation:

The measure of angle TSU is 75°. (180° - 105° because it is a flat angle)

The sum of all the angles of a triangle is 180° as well.

You can write an equation to solve for x.

12x + 9x + 75 = 180

Isolate x.

12x + 9x = 180 - 75

12x + 9x = 105

Add the 12 and the 9.

21x = 105

Find what x is.

x = 105 ÷ 21

x = 5

4 0
3 years ago
The area of a plot of land is 2496 square meters. A small part of the land is fenced. The ratio of the area of the plot of land
AfilCa [17]
My late response (haha): First, you would write a proportion.

Step 1: 2496 over 48 = x over 31
(x represents the area of the land that is not fenced).

Step 2: Cross multiply
2496 times 31 and x times 48

Step 3: Calculate
77376 = 48x

Step 4: Divide both sides by 48
77376/48 = 1612
48x/48 = x

Step 5: Write it as a sentence 
The area of the land that is not fenced is 1612 squared meters. 

Hope that helped! Good luck! :]
4 0
3 years ago
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