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Alla [95]
3 years ago
6

What is the area of a circle with a diameter of 24 meters (use 3.14 for Pi)?

Mathematics
1 answer:
Zarrin [17]3 years ago
5 0

The area of a circle is represented by the equation:


A=\pi r^{2}


We know that the diameter is two times the radius: d=2r


So if we know that the diameter of the circle is 24m, we can divide this by two in order to get the radius:


24m=2r -->r=12m


So then we can plug this radius in to the equation for the area of a circle:


A=\pi (12)^{2}


A=144\pi


We are told to use 3.14 as pi, and not pi itself, so let's plug in 3.14 for pi:


A=3.14(144)


A=452.16m^{2}


Now we know that the area of this circle is 452.16 square meters.

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Which of the following equations is used to calculate the probability of event A happening, given that event B has occurred?
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Answer:

B

Step-by-step explanation:

Not much to explain

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3 years ago
You have $20 to spend on taxi fare. The ride costs $5 plus $2.50 per mile. Write an inequality to determine how many miles you c
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Answer: Maximum 6 miles

Step-by-step explanation: In total you have $20.

Base fare of taxi is $5.

Per mile cost is $2.50.

Your total cost is  where x is the number of miles. Since you're on a budget of maximum $20, the cost should be less than or equal to $20. We can write:

To find how many miles we can write, let's solve the inequality:

.

This means 6 is the maximum number of miles you can ride with $20.

4 0
3 years ago
Which expression is equal to 4-6
frez [133]

-1-1 or 2-4 or 3-5 or 6-8 or 7-9 or 8-10

6 0
3 years ago
What is the inverse of the function f(x) = 2x + 1?
soldier1979 [14.2K]

Answer: The inverse of the linear function f(x)=2x+1 is f^(-1) (x) = (1/2)x-1/2


Solution

f(x)=2x+1

y=f(x)

y=2x+1

Isolating x: Subtracting 1 both sides of the equation:

y-1=2x+1-1

y-1=2x

Multiplying both sides of the equation by 1/2:

(1/2)(y-1)=(1/2)2x

(1/2)y-1/2=x

x=(1/2)y-1/2

Changing "x" by "f^(-1) (x)" and "y" by "x":

f^(-1) (x) = (1/2)x-1/2

8 0
3 years ago
Mr. Lawrence used 100 tiles when he put a new floor in the kitchen 34 tiles are squares and 16 tiles are rectangles write the to
Oliga [24]
<h3>Fraction of square tiles  = (\frac{4}{25})   = 0.16</h3><h3>Fraction of rectangle tiles  = (\frac{17}{50})   = 0.34</h3>

Step-by-step explanation:

Total number of tiles to be used in the kitchen = 100

The total number of square tiles  = 34

The total number of rectangle tiles  =  16

Now, calculating the total fraction of square tiles:

The fraction of square tiles  = \frac{\textrm{Total number of square tiles}}{\textrm{Total number of tiles}}  = \frac{16}{100}   = \frac{4}{25}

Also, solving the fraction, we get \frac{4}{25}  = 0.16

So, the decimal value of square tiles  = 0.6

Calculating the total fraction of rectangle tiles:

The fraction of rectangle tiles  = \frac{\textrm{Total number of rectangle tiles}}{\textrm{Total number of tiles}}  = \frac{34}{100}   = \frac{17}{50}

Also, solving the fraction, we get \frac{17}{50}  = 0.34

So, the decimal value of rectangle tiles  = 0.34

4 0
3 years ago
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