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Ede4ka [16]
3 years ago
7

Kenji packed an exercise ball into a cylindrical package. The cylindrical package is made out of plastic. How much plastic was u

sed to make the package? Express your answer in terms of π. Enter your answer in the box.

Mathematics
1 answer:
Wittaler [7]3 years ago
3 0

Answer:

45\pi

Step-by-step explanation

The space that the package occupies is the volume of the cylinder. The volume of an object is the 3 dimensional capacity of the object.

Volume of a cylinder = h

Lets say r is the radius and h is the height of the cylinder.

Given that; h = 5 feet and r = 3 feet.

The required volume = \pi ×  × 5

                                  = \pi  × 9 × 5

                                 = 45\pi cubic feet

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Can somebody please help me
olasank [31]

Answer:

70

Step-by-step explanation:

Complementary angles equal 90 degrees

90 - 20 = 70

I hope this helps!

5 0
2 years ago
The ounces of yellow paint, y, needed to mix with x ounces of blue paint to make a certain shade of green paint can be represent
alexira [117]

Answer:

The constant of proportionality of the equation is 1.5.

Step-by-step explanation:

Equation of proportional measures:

Suppose that y and x are proportional measures. This situation can be equatialized is:

y = ax

In which a is the constant of proportionality.

y = 1.5x. What is the constant of proportionality of the equation?

a = 1.5, so the constant of proportionality of the equation is 1.5.

6 0
3 years ago
These five frames show a shapes different positions
kipiarov [429]

From the attached image, we can tell that:

From 1 to 2: There is a shift from left to right along the same plane (x-axis).

From 2 to 3: There is a 90° rotation in the clockwise direction.

From 3 to 4: There is a negative vertical shift. Assuming a y-axis this would be from the top down.

From 4 to 5: There is a 180° rotation in the clockwise direction.

<h3>What is a rotation?</h3>

It is to be noted that a rotation is a sort of transformation that rotates each point in a figure a specific number of degrees around a particular point.

Learn more about rotation in math:
brainly.com/question/26249005
#SPJ1

Full Question:

These five frames (in the attached image_ show shapes of different positions. Describe how the shape moves to get from its position in each frame to the next.

7 0
1 year ago
You are planning a skating party at a rink that charges a basic fee of $6.00 and $6.50 per person for catered parties. You don’t
Alekssandra [29.7K]

Answer:

y = 6.50x + 6 or 71 = 6.50x + 6

10 people are the max you can invite

Step-by-step explanation:

We have the simple equation

y = 6.50x + 6

6.50x because it it per person

6 because it is a flat one time charge

We want the max to be 71 so that will be our y

71 = 6.50x + 6

We are now going to solve for x

65 = 6.5x

x = 10

Hope it helps! (:

4 0
3 years ago
Match the correct angle measurement with its letter from the diagram.
igor_vitrenko [27]

Answer:

<C=48 because 90-42=42 as in the other side of the triangle.

<B=42 because vertical angles are always congruent.

<B+<D=90 because <D is 48 because it is vertical to <C

5 0
2 years ago
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