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nevsk [136]
3 years ago
7

The radius of a circle is 4.53 in. What is the length of the circumference of the circle?

Mathematics
2 answers:
Inessa05 [86]3 years ago
7 0

Answer:

28.4484

Step-by-step explanation:

Kitty [74]3 years ago
7 0

Answer:

28.46

Step-by-step explanation:

Use this equation: 2 π r

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Given that x=3sin​​θ-2 and y=3cos​​​θ+4.Show that (x+2)²+ (y-4)²=9​​​​​​
asambeis [7]

Answer:

First, plug-in x and y as 3sin​​θ-2 and 3cos​​​θ+4 into the equation, respectively:

((3\sin (\theta)-2)+2)^2 + ((3\cos (\theta)+4)-4)^2 = 9

Then, +2 and -2 cancel out and +4 and -4 cancel out as well, leaving you with:

(3\sin(\theta))^2+(3\cos(\theta))^2=9

We can factor out 3^2 = 9 from both equations:

9(\sin(\theta)^2+cos(\theta)^2) = 9

We know from a trigonometric identity that \sin(\theta)^2+cos(\theta)^2 = 1, meaning we can reduce the equation to:

9(1) = 9

9=9

And therefore, we have shown that (x+2)^2 + (y-4)^2 = 9, if x=3sin​​θ-2 and y=3cos​​​θ+4.

Hope this helped you.

7 0
2 years ago
The cost to.Purchase a tank.Of gasoline varies directly with the.Number of gallons purchased. You notice that the person in fron
maxonik [38]

Answer:

$70.20

Step-by-step explanation:

We need to first find the cost per gallon of the gas.

The person in front bought 15 gals at $40.50. The price of each gallon will therefore be:

40.50 / 15 = $2.70

You need to buy 26 gallons. The cost will be:

26 * 2.70 = $70.20

You will spend $70.20.

5 0
3 years ago
N - 9.02 = 3.87<br> what is (n)?
Nadya [2.5K]

Answer:

n = 12.89

Step-by-step explanation:

Add 9.02 + 3.87

7 0
2 years ago
Three out of every five cookies on the cookie treat our oatmeal raisin cookies if there are 45 cookies on the tray predict how m
snow_lady [41]

Answer:

45 divided by 3 equal 15

Step-by-step explanation:

45 Divided by 3 equal 15

4 0
3 years ago
Select the GCF of these numbers. 48 and 60
Andru [333]
The answer is a, 2^2 * 3

6 0
3 years ago
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