cone A has a height of 3 meters and radius of 2 meters. Cone B has the same radius, but height og 6 meters, calculate the volume of each cone. Which conclusion is correct ? The volume of cone A is twice the volume of cone B, the volume of cone Bis ywice the volume of cone A , The volume of cone B is 4 time the volume of cone A or The volume of cone B is 3 times the volume of cone A?

Answers

Answer 1
Answer:

Answer:

The volume of cone B is twice the volume of cone A.

Step-by-step explanation:

Cone A

Height of cone = 3 m

Radius of Cone = 2 m

Volume of cone = (1)/(3) \pi r^(2) h

                          = (1)/(3) * 3.14 * 2^(2) (3)

                          = 12.56 m^3

Cone B

Height of cone = 6 m

Radius of Cone = 2 m

Volume of cone = (1)/(3) \pi r^(2) h

                          = (1)/(3) * 3.14 * 2^(2) (6)

                          = 25.12 m^3

Now 12.56 * 2 = 25.12

Thus the volume of cone B is twice the volume of cone A.

Answer 2
Answer: The volume of Cone B is twice the volume of Cone A.

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Gerry thinks that the points (4,2) and (−1,4) form a line perpendicular to a line with slope 4. Do you agree? Whyor why not?

Answers

Answer:

The answer to your question is these lines are not perpendicular.

Step-by-step explanation:

Data

A (4, 2)

B (-1, 4)

slope = m = 4

Perpendicular lines mean that these lines cross and form an angle of 90°. Also, the slope of perpendicular lines is negative reciprocals.

Process

1.- Find the slope of the second line and compare it to the slope given.

slope = (y2 - y1)/(x2 - x1)

Substitution

slope = (4 - 2)/(-1 - 4)

Simplification and result

slope = (-2)/(5)

-2/5 is not a negative reciprocal of 4, so these lines are not perpendicular.

What is the DOMAIN of the function below? *
help em

Answers

Answer:

B

Step-by-step explanation:

A bin has 382 red, yellow, blue and green balls. It has three times as many red balls as yellow balls, 52 more blue balls than yellow balls, and 30 fewer green balls than red balls. How many green balls does it have?

Answers

The bin containing 382 red, yellow, blue and green balls have a total of 32 green balls.

Let x represent the number of red balls, y represent the number of yellow balls and z represent the number of green balls.

Since ther is a total of 382 balls, hence:

x + y + z = 382   (1)

There is three times as many red balls as yellow balls:

y = 3x

3x - y = 0    (2)

52 more blue balls than yellow balls, hence:

z = y + 52

- y - z = -52    (3)

Solving equations 1,  2 and 3 gives x = 62, y = 186, z = 134

Hence there are 62 red balls, 186 yellow balls and 134 blue balls

Green balls = 62 - 30 = 32 balls

Find out more at: brainly.com/question/16763389

Final answer:

To find the number of green balls, you need to create equations using the given information. By solving the equations, the bin is determined to have 150 green balls.

Explanation:

To find the number of green balls, we need to consider the given information and create equations to solve for the number of green balls. Let's define the number of yellow balls as 'y'.

From the first statement, we know that there are 3 times as many red balls as yellow balls. Therefore, the number of red balls is 3y.

From the second statement, we know that there are 52 more blue balls than yellow balls. So, the number of blue balls is y + 52.

From the third statement, we know that there are 30 fewer green balls than red balls. So, the number of green balls is 3y - 30.

We can set up an equation: 3y + y + 52 + 3y - 30 = 382. Solving for 'y', we get y = 60.

Substituting the value of 'y' back into the equation for the number of green balls, we find that the bin has 3(60) - 30 = 150 green balls.

Learn more about Algebra here:

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F(x) = x3 + 5x2 - x - 5

What are the factors of f(x)?

Answers

Hello

x^3+5x²-x-5=x²(x+5)-1(x+5)
=(x+5)(x²-1)=(x+5)(x-1)(x+1)

Solve the equation: √x+1 = x-1

Answers

√(x+1) = x - 1 \n \n x + 1 = (x - 1)^2 \n \n x + 1 = x^2 - 2x + 1 \n \n x = x^2 - 2x \n \n x - x^2 + 2x = 0 \n \n 3x - x^2 = 0 \n \n x(3 - x)= 0 \n \n x = 0,3 \n \n x = 0 \ is \ false \n \n x = 3

The final result is, x = 3.

The solutions we gather were x = 0,3. 
We dropped x = 0 from the equation since it does not become true, so we are left with x = 3. 
√x + 1 = x - 1
           ↓
      √x = x - 1 + 1
           ↓
      √x = x

Since 1 is the only real number whose square root equals itself, we can safely assume that x = 1.
Hope that helped! =)

An airplane is traveling at a speed of 200 km/h. Compute the speed of the airplane in m/s

Answers

Speed of the airplane would be 56m/s approximately
the best answer would be 55.5556 meters per second.