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Arisa [49]
3 years ago
5

(i)If the circumference of the circle is 88 cm ; Find the diameter. (Take π = 22/7 )

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
4 0
<h3>Given:</h3>

Circumference of the circle = 88 cm

π = 22/7

<h3>To Find:</h3>

The Diameter of the circle.

<h3>Formula:</h3>

Circumference of circle = 2πr

r = radius

<h3>Solution:</h3>

Circumference of the circle = 2πr = 88 cm

Circumference of the circle = πr = 88/2 = 44 cm

Circumference of the circle = r = 44 × 7/22 = 14 cm

r (radius) = 14 cm

d (diameter) = 2r = 2(14) = 28 cm

<h2>Answer:</h2>

Diameter of the circle = 28 cm

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Weiming, Joyce and Siti divide cookies to sell in a ratio of 5: 12: 9. After Weiming sold 28 cookies, the ratio becomes 1: 8: 6.
Strike441 [17]

Answer:

216 cookies

Step-by-step explanation:

From the question,

Let the total cookies in the first place be x cookies.

Their ratio = 5:12:9

Total  = 5+12+9 = 26.

Weiming share = (5/26)x = 5x/26

If weiming sold 28 cookies

⇒ (5x/26)-28

⇒ (5x-728)/28

Hence Weiming new share = (5x-728)/28 cookies

The new ratio is 1:8:6

The total cookies becomes = x-28

Therefore,

(1/15)(x-28) = (5x-728)/28

(x-28)/15 = (5x-728)/28

Crossmultiply

28(x-28) = 15(5x-728)

28x-784 = 75x-10920

Collect like terms

28x-75x = -10920+784

-47x = -10136

x = -10136/-47

x = 215.7

x ≈ 216 cookies

8 0
3 years ago
32.5% of what number is 12.48?
vagabundo [1.1K]

Answer:

38.4;

Step-by-step explanation:

32.5% × ? = 12.48

? =

12.48 ÷ 32.5% =

12.48 ÷ (32.5 ÷ 100) =

(100 × 12.48) ÷ 32.5 =

1,248 ÷ 32.5 =

38.4;

5 0
3 years ago
The price of Philip's favorite candy has been reduced by $0.15 per piece. Philip buys 14 pieces and spends $3.22.
kompoz [17]
3.22 divided by 14 is .23.   .23 plus .15 is .38 cents per candy at regular price.
6 0
3 years ago
Read 2 more answers
A shopper paid $2.52 for 4.5 pounds of potatoes,$7.75 for 2.5 pounds of broccoli,and $2.45 for 2.5 pounds of pears.What is the u
Sidana [21]

Answer:

Step-by-step explanation:

A shopper paid $2.52 for 4.5 pounds of potatoes. This means that the unit price for each potato would be

2.52/4.5 = 0.55556

Approximately $0.6 per pound.

The shopper paid $7.75 for 2.5 pounds of broccoli. This means that the unit price for each broccoli would be

7.75/2.5 = $3.1 per pound.

The shopper paid $2.45 for 2.5 pounds of pears. This means that the unit price for each pear would be

2.45/2.5 = $0.98 per pound

6 0
3 years ago
A square is circumscribed about a circle with an 8-inch radius, as shown below. What is the area, in square inches, of the regio
sladkih [1.3K]

Answer:

Option 4. 256 - 64π is the correct option.

Step-by-step explanation:

In the given picture a square is circumscribed about a circle with a side = 2r

where r is the radius of the circle.

Therefore area of the square = (2r)² = 4r² = 4 × 8² = 4 × 64 = 256 in²

Now area of the circle = πr² = π × 8² = 64π in²

Now area of region that is inside the square and outside the circle =

Area of square - area of circle = (256 - 64π) in².

Therefore the answer is (256 - 64π).

8 0
3 years ago
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