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TEA [102]
2 years ago
11

Select the correct answer from the drop-down menu

Mathematics
1 answer:
oee [108]2 years ago
7 0

Answer:

r = 55.2 cm

Step-by-step explanation:

the arc length is calculated as

arc = circumference × fraction of circle

     = 2πr × \frac{\frac{23}{20}\pi  }{2\pi } ( r is the radius )

given arc = 63.48π , then

2πr × \frac{\frac{23}{20}\pi  }{2\pi } = 63.48π ( cancel 2π on numerator/ denominator )

r × \frac{23}{20} π = 63.48π ( divide both sides by π )

\frac{23r}{20} = 63.48 ( multiply both sides by 20 to clear the fraction )

23r = 1269.6 ( divide both sides by 23 )

r = 55.2 cm

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In it 34/50 of the coins are quarters what percent of the coins are quarters
ziro4ka [17]

Answer:

68% are quarters

Step-by-step explanation:

Percent means out of 100

34/50

Multiply by 2/2

34/50 *2/2

68/100

This means 68 percent

4 0
3 years ago
4/5 minus 1/3 plz i need help
IRISSAK [1]

Answer:

7/15

Step-by-step explanation:

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 4 by 3, and get 12.

Then we multiply 1 by 5, and get 5.

Next we give both terms new denominators -- 5 × 3 = 15.

So now our fractions look like this:

12

15

−  

5

15

Step 2

Since our denominators match, we can subtract the numerators.

12 − 5 = 7

So the answer is:

7

15

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

No good. 11 is larger than 7. So we're done reducing.

6 0
2 years ago
Find the length of 1 side of square if the area is 49 sq.cm<br> method needed
ladessa [460]

Answer:

It would be 7cm

Step-by-step explanation:

please find step by step explanation on the picture

7 0
2 years ago
David is performing the following construction. Based on the markings that are present, what construction is he performing?
lora16 [44]

Answer:

He is bisecting the angle BAC.

Step-by-step explanation:

First he puts the compass point at point A and draws 2 small arcs at D and E.  Then he places the compass point at D and then at E to form the 2 arcs that cross between the  2 line segments AB and AC.

The bisector is the line he can draw between A and the crossed arcs.

8 0
3 years ago
Read 2 more answers
Can someone help me with this problem I really don’t know how to work it out and I’m getting frustrated please help..
11Alexandr11 [23.1K]

Answer:

  1 cake and 6 pies

Step-by-step explanation:

Let c represent the number of cakes Alice and George can make. Likewise, let p represent the number of pies.

Then the amount of flour they need (in cups) is ...

  3c + 2p . . . . cups of flour needed

And the amount of sugar needed is ...

  2c + 1.5p . . . cups of sugar needed

__

They want to use all 15 cups of flour they have, and all 11 cups of sugar, so the amounts above need to match the amounts on hand:

  3c + 2p = 15

  2c + 1.5p = 11

We can solve these equations various ways. One of my favorite is to use a graphing calculator. (See attached) It tells us that Alice and George can make 1 cake and 6 pies with the flour and sugar they have.

_____

If you want to solve these equations algebraically, there are several methods for that, too. Here, we can multiply the first one by 2/3 and subtract the result from the second one:

  (2c +1.5p) -(2/3)(3c +2p) = (11) -(2/3)(15)

  2c +3/2p -2c -4/3p = 11 -10 . . . . . eliminate parentheses

  1/6p = 1 . . . . . . . . . . . . . . . . . . . . . .collect terms

  p = 6 . . . . . . . . . . . . . . . . . . . . . . . . multiply by 6

Substituting into the first equation gives ...

  3c +2·6 = 15 . . . substitute 6 for p

  3c = 3 . . . . . . . . subtract 12

  c = 1 . . . . . . . . . . divide by 3

These values tell us Alice and George can make 1 cake and 6 pies with the flour and sugar they have.

7 0
3 years ago
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