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xeze [42]
2 years ago
13

The circumference of a circle is 23π m. What is the area, in square meters? Express your answer in terms of \piπ

Mathematics
2 answers:
NARA [144]2 years ago
7 0

Answer:

<h2>132.25π  m²</h2>

Step-by-step explanation:

The circumference of a circle is 23π

On the other hand, The circumference of a circle = 2×π×r ; where r is the radius.

then

by equating the last two expressions we get: 23π = 2πr then r = 23/2

then

the area = π × r² = (23/2)²×π = (132.25)×π

Firdavs [7]2 years ago
4 0

Answer:

132.25\pi square meters

Step-by-step explanation:

The first step is to find the radius of the circle. The diameter of the circle is just the circumference divided by pi, so the diameter is 23. The radius is half of the diameter, or 23/2=11.5. Now, plugging this into the formula for the area of a circle, you get \pi \cdot 11.5^2=132.25\pi square meters. Hope this helps!

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119.31 is 82% of what number
madam [21]
To solve
82% of x = 119.31
rewrite
x = 119.31/0.82
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Hope this helps :)
5 0
2 years ago
Read 2 more answers
Your cell phone plan charges a base charge each month plus a charge per daytime minute of usage and December used 510 daytime mi
algol13

Answer:

In February, 423 daytime minutes is used

Step-by-step explanation:

Let the base plan charges be x

And cost per daytime minute be y

In December,

x  + 510y =  92.25------------------(1)

In January,

x + 397y = 77.56---------------------(2)

Subtracting eq(2) from eq(1)

x  + 510y =  92.25

x + 397y = 77.56

-------------------------------

0  + 113y = 14.69

-------------------------------

y = \frac{14.69}{113}

y =  0.13----------------------------------(3)

Substituting (3) in (1)

x  + 510(0.13) =  92.25

x + 66.3 = 92.25

x = 92.25 - 66.3

x = 25.95

So In February

base plan  + (daytime minute)(cost per daytime minute) = 80.9

25.95 + (daytime minute)(0.13) = 80.9

(daytime minute)(0.13) = 80.9 - 25.95

(daytime minute)(0.13) = 54.95

(daytime minute) =\frac{54.95}{0.13}

daytime minutes = 422.69

daytime minute  \approx 423

3 0
2 years ago
The cruise boat can carry up to 45 passengers. The company wants to know the minimum number of passengers needed per cruise to c
aksik [14]
Fixed costs:
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Variable costs:
x * ( $6.50 + $3.64 ) = x * 10.14
Sales income ( total ):
x * $36.40
FC + FV - Income = 0
640 + 10.14 x - 36.40 x = 0
640 - 26.26 x = 0
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x = 640 : 26.26 = 24.37
Answer:
The minimum number of passengers needed per cruise, so that the cruise company can be sure it will make a profit is 25. 
3 0
2 years ago
Consider the table showing the given, predicted and residual values for a data set. A 4-column table with 4 rows. The first colu
Alecsey [184]

Answer:

Step-by-step explanation: I believe the answer would be (4, 0.1).

When plotting a residual, use the x-value, in this case 4, and the residual value as the y. (4, 0.1) The 4 is the x value, and the 0.1 replaces the y value. In the table the column headers will show you what the x, y, and residuals are. Just disregard the y-value and "predicted" and "given" columns, they are not needed when plotting the residual. I really hope this helps, and I hope I explained it well!

5 0
2 years ago
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sunita has to ribbons of lengths 25 inches and 35 inches he want to cut the Ribbon into strips of equal length what is the longe
DanielleElmas [232]

Answer:

5 cm

Step-by-step explanation:

6 0
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