The distance from the center of a round table top to the edge of the table top is 4 ft. What is the area of the table top?

Answers

Answer 1

Answer: Center to the edge of a circle is the radius and Area of a circle = (pi)r^2 so A = (pi) 4^2 = 16 pi = about 50.27 square ft

Answer 2

Answer:

Answer:

The correct answer is 50.24 sq. ft

Step-by-step explanation:

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Megan and Julie are stuck simplifying radical expressions. Megan has to simplify the quantity of x to the one third power, over x to the one twelfth power. Julie has to simplify the thirty second root of the quantity of x times x to the second times x to the fifth. Using full sentences, describe how to fully simplify Megan and Julie's expressions. Describe if Megan and Julie started with equivalent expressions or if they started with expressions that are not equal.

Answers

x to the one-third divided by x to the one-twelfth is equal to x to the power of:

1/3-1/12

1/3-1/12

3/12

1/4

Therefore, this is the fourth root of x.

Julie is finding x to the (1+2+5)/32, or x to the 8/32 power. This simplifies to x^(1/4), which is also the fourth root of x. Megan and Julie have started with equal expressions.

There are only blue yellow and green cubes is a bag. There are three times as many blue cubes as yellow cubes. There are five times as many green cubes as blue cubes. I take out a random cube from the bag, what is the probability that I take out a yellow cube?

Answers

Let the number of yellow cubes be x

Yellow Cubes = x

Blue Cubes = 3x

Green = 5 (3x) = 15x

Ratio : Yellow : Blue : Green = 1 : 3 : 15

P(Yellow) = 1/19

Answer: 1/19

A bag of marbles contains 16 blue, 8 green, 9 red, 12 yellow and 5 black marbles. What is the probability of drawing a green marble?

Answers

If a bag of marbles contains 16 blue, 8 green, 9 red, 12 yellow, and 5 black marbles. The probability of drawing a green marble will be 4/25.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that, a bag of marbles contains 16 blue, 8 green, 9 red, 12 yellow, and 5 black marbles.

The total number of marbles will be

=16+8+9+12+5

= 50

Number of green marble = 8

The probability of drawing a green marble is,

P(G) = 8 / 50

P(G) = 4/25

Thus, if a bag of marbles contains 16 blue, 8 green, 9 red, 12 yellow, and 5 black marbles. The probability of drawing a green marble will be 4/25.

Learn more about the probability here:

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Answer:

8/50

Step-by-step explanation:

you would take the number of that colored marble which in this case is green so now we have our numerator which is 8 next we are going to add all of the amount of numbers including the green and we get 50 and 50 is our denominator.

He sum of two numbers is 46 and the difference is 2 . What are the numbers?large number is
the small number is

Answers

a + b = 46
a-b = 2

solve one of the equations for a...
a + b = 46
a = b + 2

solve for "b" using substitution...
(b + 2) + b = 46
2b + 2 = 46
2b = 44
b = 22

solve for "a" with substitution...
a + (22) = 46
a = 24

Smaller Number: 22
Bigger Number: 24

Let us condense your question in the form of system of equations,

x + y = 46
x - y = 2

Now, x = 46 - y

Thus,

46-y - y = 2

46 - 2y = 2

-2y = -44

Thus, y = 22.

x + y = 46

x + 22 = 46

Thus, x = 24.

Thus, the greater number is 24 and smaller number is 22.

Solve the sytems of equations by substitution
x=-4y
x+5y=2

Answers

Y=2, put -4y in for do to the second equation, and then it's technically 5-4 so then you have 1y=2 then you move the 1 to the other side by dividing 2 by 1.

x = -4y x + 5y = 2
-4y +5y = 2

*add -4y and 5y*
y = 2

x = -4(2)

*Multiply -4 and 2*
x = -8

Is x=4
X=7
Parallel, perpendicular, or neither

Answers

Answer: Parallel.

Step-by-step explanation:

Because both points run across the x-axis, never cross, and are in straight lines, the points would be known as parallel to one another.

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