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KiRa [710]
3 years ago
11

If the circumference of the circle below is 90, what is the length of the minor arc)? 609 A. 90 B. 15 C. 30 D. 10

Mathematics
1 answer:
Mazyrski [523]3 years ago
4 0

Answer:

arc XY = 15 units

Step-by-step explanation:

<u>GIVEN :-</u>

  • Angle subtended by arc XY at center = 60°
  • Circumference of the circle = 90 units.

<u>TO FIND :-</u>

  • Length of XY

<u>FACTS TO KNOW BEFORE SOLVING :-</u>

Length of arc of the sector = \frac{\theta}{360} \times (Circumference \: of \: the \: circle) where θ is the angle subtended by arc of the sector at the center of the circle.

<u>SOLUTION :-</u>

XY = \frac{60}{360} \times 90 = \frac{90}{6} = 15

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Milan puts 1/4 of her lawn mowing money savings and uses 1/2 of the remaining money to pay back her sister.If she has 15$ left,
Feliz [49]

Answer:

$40

Step-by-step explanation:

Let the amount of money she has at first be $x.

She put 1/4 for savings, this means she decides to spend 3/4. The 3/4 is equivalent to (3/4)x

Now, she puts half of the money not saved to pay back her sister and has $15 left.

This means the (3/4)x is equivalent to $30. This is because she used half which is $15 to pay back her sister.

Now, since (3/4)x equals 30, we calculate x

(0.75)x = 30

x = 30/0.75 = $40

She originally had $40

6 0
4 years ago
2x + 3 = 5 . Solve for x
STALIN [3.7K]

Answer:

x = 1

Step-by-step explanation:

2x + 3 = 5

=> 2x = 5 - 3

=> 2x = 2

=> x = 2/2

=> x = 1

4 0
3 years ago
Read 2 more answers
Eric is looking to go shopping, as he knows he needs more ties and shirts. Eric is looking for his ties and discovers that he cu
mars1129 [50]
<h2>1 way</h2>

For 20 shirts Eric has

20×2=40 ties

After shopping Eric has 50 shirts

So

20 shirts 50 shirts

40 ties x ties

\frac{20}{40}  =  \frac{50}{x} \\ x =  \frac{50 \times 40}{20}  \\ x = 100

Answer: He would have 100 ties

<h2>2 way</h2>

If he has 2 ties for 1 shirt he will have

2×20=40 ties for 20 shirts, so for 50 shirts ge would have

50×2=100 ties

Answer: He would have 100 ties

4 0
3 years ago
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How many one fiths are in one​
Ivenika [448]

Answer:

5

Step-by-step explanation:

If you mean a whole, sorry if its incorrect

4 0
4 years ago
Please help!!! Will give brainlist!!!
____ [38]

Answer:

\frac{9}{14} \ chance

Step-by-step explanation:

1. Approach

Probability is a way of predicting a future outcome based on given data. In essence, the formula for finding the probability is, \frac{desired\ outcomes}{total\ outcomes}.

It is given that

- (63) paid with cash

- (22) paid with a debit card

- (13) paid with a credit card

First, add all of these numbers up to find the total number of customers. Then set up the probability, finally, simplify the fraction by diving both the numerator and denominator by a common factor.

2. Find the total number of customers

Add up all of the given customers, regardless of their payment type.;

(cash)+(credit)+(debit)\\\\= 63 + 22 + 13\\\\= 98

(98) total customers.

3. Find the probability

Now set up the probability, remember, the formula for finding the probability is,

\frac{desired\ outcomes}{total\ outcomes}

The desired outcome is the number of customers who pay with cash = (63)

The total outcome is the number of customers who when to the business; (98)

Substitute in the numbers and simplify,

\frac{desired\ outcomes}{total\ outcomes}

\frac{63}{98}

Both of these numbers are divisible by (7), hence divide the fraction by (7)

\frac{9}{14}

5 0
3 years ago
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