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uranmaximum [27]
3 years ago
13

What is the length of the arc on a circle with radius 21 in intercepted by a 25° angle? Round your answer to the nearest tenth.

Mathematics
2 answers:
Lana71 [14]3 years ago
8 0

Answer:

Step-by-step explanation:

The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ is the central angle formed at the center of the circle.

r represents the radius of the circle.

π represents a constant whose value is 3.14

From the information given,

r = 21 inches

θ = 25 degrees

Length of arc formed = 25/360 × 2 × 3.14 × 21 = 9.2 inches,

ladessa [460]3 years ago
8 0

Answer: The length of the arc = 9.16

Step-by-step explanation: Formula for the length of an arc is,

=2πr∅°/360° or

   πr∅°/180°.

Where r = radius of the circle, ∅ is the angle substended by the arc of the centre.

Substitute for values in the formula above

      πr∅°/180                                                = 3.142 × 21 × 25/180

                                                                     = 1649 . 55/180

                                                                     = 9.164

                                                                     =9.16

Therefore, the length of the arc                 = 9.16

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2. A man buys eggs at 55kobo a score . he finds that 10% of the eggs are unsellable but sells the rest at 60kobo a dozen .find i
liubo4ka [24]

Answer:

Percentage Profit is 63.63%

Step-by-step explanation:

The man buys 440 eggs at 55 pence a score

i.e. he buys 20 eggs for 55 pence

He buys 1 egg for 55/20 = 2.75 pence

Therefore, he buys 440 eggs for = 440 × 2.75 = 1210 pence

10% eggs are unsaleable

thus he sold = 440 - 440 × 10/100 = 440 - 44 = 396 eggs

Eggs sold in dozen = 396/12 = 33

He sold 1 dozen for = 60 pence

Thus, he sold 33 dozen for = 33 × 60 = 1980 pence

Profit = 1980 - 1210 = 770 pence

% Profit = (770/1210) × 100 = 63.63%

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3 0
3 years ago
In a store, a sample of 60 pens was selected from a box of 1,200 pens. Of these 60, 4 pens did not work. About how many pens cou
Lapatulllka [165]
Ok so if 1200 total pens and 60 were taken that's a ratio of 1200/60=20

out of 60pens 4 didn't work, again ratio is 4/60=1/15 so about 1/15 of the pens didn't work. 

so we have 1200pens * 1/15broken ratio = 80 pens or we can say 

20*4=80pens won't work from 20 groups of 60 and 4 out of 60 not working is 20*4=80 not working from total batch of 1200.

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3 0
3 years ago
2/7 = /56 find the sum simply when need
Ludmilka [50]

Answer:

The answer is 2/7 = 16/56

8 0
4 years ago
There are seven balls in a bag(red, orange, green, yellow, white, black, and purple. If you draw a ball and flip a coin, the cha
Alex17521 [72]
The chance of purple is 14% and the chance of tails is 50%. 
 
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4 0
3 years ago
The difference between two numbers is 3. The sum of the same tow numbers is 13. What is the
Ber [7]

Answer: 40

Step-by-step explanation:

Let the two numbers be a and b.

Therefore,

a - b = 3 ....... i

a + b = 13 ....... ii

From equation I, a = 3 + b

Put a = 3+b into equation ii

a + b = 13

3 + b + b = 13

3 + 2b = 13

2b = 13 - 3

2b = 10

b = 10/2

b = 5

Since a = 3 + b

a = 3 + 5

a = 8

The product of the numbers will be:

= 8 × 5

= 40

6 0
3 years ago
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