The circumference of a circle is 20 meters.What is the area

The thickness of a block is approximately 2 centimeters. How many blocks are in a stack that is 1,000 millimeters high? ( 1 cm =

dangina [55]

Answer:

1block=2cm

1cm=10mm

therefore 1block=2×10=20

1000÷20=50

=50blocks

5 0

3 years ago

Read 2 more answers

The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3

Zepler [3.9K]

Answer:

We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.

Its volume is equal to the area of its base times its height.

Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.

Let's test each of these answers to see which gives us the correct volume.

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a base area of 4y square units and height of 4y² + 4y + 12 units

We find the volume by multiplying the base area by the height...

4y(4y² + 4y + 12)

Distribute the 4y to each term inside the parentheses.

16y³ + 16y² + 48y

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 8y² square units and height of y² + 2y + 4 units

We find the volume by multiplying the base area by the height...

8y²(y² + 2y + 4)

Distribute the 8y² to each term inside the parentheses.

8y⁴ + 16y³ + 32y²

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 12y square units and height of 4y² + 4y + 36 units

We find the volume by multiplying the base area by the height...

12y(4y² + 4y + 36)

Distribute the 12y to each term inside the parentheses.

48y³ + 48y² + 432y

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 16y² square units and height of y² + y + 3 units

We find the volume by multiplying the base area by the height...

16y²(y² + y + 3)

Distribute the 16y² to each term inside the parentheses.

16y⁴ + 16y³ + 48y²

The volume fits, so these could be the base area and height of our prism.

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D. a base area of 16y² square units and height of y² + y + 3 units

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Step-by-step explanation:

7 0

3 years ago

Which properties justify the steps taken to solve the system?

Nutka1998 [239]

Answer:

X=-1

Y=1

Step-by-step explanation:

6x-12y

-18

) 6x + 4y

-

-2

Subtract the two equations

6x - 12y - (6x + 4y) = -18 - (-2)

Determine the sign

6x- 12y - 6x- 4y

=-18 + 2

Simplify

-12y

- Ay

=-18 + 2

Solve the equation

Substitute

6×+4

-2

Solve the equation

X=

6 0

2 years ago

Shane has a segment with endpoints C(3, 4) and D(11, 3) that is divided by a point E such that CE and DE form a 3:5 ratio. He kn

Lady bird [3.3K]

B=5/3 is the answer.........

7 0

4 years ago

Kendra reads in Modern Dog Magazine that the average age of dogs currently alive is 4.8 years. To determine if this finding appl

SOVA2 [1]

Answer:

The true statement about Kendra's sample is:

b) Kendra's samples are precise but not accurate.

Step-by-step explanation:

a) Data and Calculations:

Average age of dogs currently alive = 4.8 years

Average ages of dogs in Kendra's sample

Week Average Age (in years)

1 3.7

2 3.8

3 4.2

4 4.1

5 3.9

6 3.9

7 4.0

Total 27.6

Mean = 3.9 (27.6/7)

b) Accuracy refers to how close Kendra's sample mean age of dogs is to the average age value as stated in the Modern Dog Magazine. While the Magazine stated an average age of 4.8 years, Kendra's sample produced a mean of 3.9 years. On the other hand, precision refers to how close Kendra's sample measurements are to each other. With a mean of 3.9 years, the sample measurements are very close to each other. Therefore, we can conclude that "Kendra's samples are precise but not accurate."

5 0

3 years ago