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ozzi
3 years ago
7

The circumference of a circle is . What is the area of the circle in terms of ?

Mathematics
1 answer:
LenKa [72]3 years ago
7 0

Answer:

\frac{225}{4}π

Step-by-step explanation:

Formula for the circumference of a circle

2r(π)

Area of a circle

πr²

2r(π)=x

x/2(π)=r

π(x/2(π))²=Area

π(x²/4(π)²)=Area

(x²/4(π))=Area

(15π)²÷4π=Area

\frac{225}{4}π

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2. The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability th
coldgirl [10]

Answer:

0.30

Step-by-step explanation:

Probability of stopping at first signal = 0.36 ;

P(stop 1) = P(x) = 0.36

Probability of stopping at second signal = 0.54;

P(stop 2) = P(y) = 0.54

Probability of stopping at atleast one of the two signals:

P(x U y) = 0.6

Stopping at both signals :

P(xny) = p(x) + p(y) - p(xUy)

P(xny) = 0.36 + 0.54 - 0.6

P(xny) = 0.3

Stopping at x but not y

P(x n y') = P(x) - P(xny) = 0.36 - 0.3 = 0.06

Stopping at y but not x

P(y n x') = P(y) - P(xny) = 0.54 - 0.3 = 0.24

Probability of stopping at exactly 1 signal :

P(x n y') or P(y n x') = 0.06 + 0.24 = 0.30

8 0
3 years ago
A had $360 more than B. When A spent $144 and B spent half of his money, A had 6 times as much money as B, Find the ratio of the
Karolina [17]

Answer:

13:3

Step-by-step explanation:

A=x B=y

first; x= 360+y

later;x= 216+y

A:B

216+y: 1/2y = 6: 1

216+y/y÷2 =6/1

216+y = 3y

y = 108

first; x =360+y

360 +108

468

A:B = 468:108

13:3

3 0
3 years ago
Check my answers please?
sukhopar [10]
1. Correct answer is a (since when you are not given the n values, it is implied that the first value is 1). 
3. Correct answer is a (a(n)=-3+4(1-1)=-3).
 7. The pattern is to reduce the previous value by 4, thus the 12th term of the sequence is -24 (a(n)=20 - 4(n-1)=20 - 4(12-1)=-24).
 8. Missing term is 26 (32+20=52; 52/2=26).
 10. Pattern is 625/1=625; 625/5=125; 125/5=25; 25/5=5, thus. the 10th term is 1/3125 (answer a).
5 0
3 years ago
What is the common ratio for this geometric sequence 3,12,48,192,... A 16 B. 3 C. 4 D. 9
hram777 [196]

Answer:

4

Step-by-step explanation:

The common ratio is  found by taking the second term and dividing by the first term

12/3 = 4

We can check by taking the third term and dividing by the second

48/12 = 4

The common ratio is 4

3 0
3 years ago
Joe bought 16 pounds of flour for $7.<br> How many pounds of flour did he get per dollar?
wolverine [178]

Answer:

112

Step-by-step explanation:

7 0
3 years ago
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