All categories

3 years ago

What shape is created by the rotation and what is the

Mathematics

1 answer:

zlopas [31]3 years ago

4 0

Answer:

<u>Option D: A cylinder with a circumference of about 50 units</u>

Step-by-step explanation:

The rest of the question is the attached figure.

The square shown has a perimeter of 32 units. The square is rotated about line k. What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πr

===================================================

Given: the perimeter of the square = 32

perimeter of a square is four times the length of its side

So, the side length of square = 32/4 = 8 units

The square is rotated about line k.

So, it will form a cylinder with radius 8 units.

Circumference of a circle = 2 π r

Where, r is the radius of the circle.

Circumference of the base is C = 2 π * 8

∴ C = 16π = 16 * 3.14

∴ C = 50.26548 ≈ 50

The shape is created by the rotation is a cylinder with a circumference of about 50 units.

<u>So, the answer option is D.</u>

You might be interested in

Find the equivalent expression of the following: x3 (x2 + 5x + 7)

Kay [80]

The equivalent expression of x^3 (x^2 + 5x + 7) is x^5 + 4x^4 + x^4 + 8x^3 - x^3

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

x^3 (x^2 + 5x + 7)

Expand the expression

x^3 * x^2 + x^3 * 5x + x^3 * 7

Evaluate the product

x^5 + 5x^4 + 7x^3

Expand the expression

x^5 + 4x^4 + x^4 + 8x^3 - x^3

Hence, the equivalent expression of x^3 (x^2 + 5x + 7) is x^5 + 4x^4 + x^4 + 8x^3 - x^3

Read more about equivalent expression at:

brainly.com/question/27911936

#SPJ1

3 0

2 years ago

What is the probability that from a normal 52 card deck, you randomly draw a 5, and then without replacement, you select a Queen

Mamont248 [21]

Answer:

1 / 663

Step-by-step explanation:

First, let's find the total number of ways you can pick 2 cards from the deck. This is 52 * 51 = 2652 because there are 52 cards available for your first pick, and after you pick one, you'll have 51 left for your second pick.

There are 4 5's (one for every suite) and only 1 Queen of Hearts in a deck of cards. Therefore, the total number of successful outcomes will be 4 * 1 = 4.

The probability of picking a 5 and then a Queen of Hearts is 4 / 2652 =

1 / 663. Hope this helps!

6 0

3 years ago

Complete the equation of the line whose y-intercept is (0,-1) and slope is 4. <br> y=______

liraira [26]

Answer:

y = 4x - 1

Step-by-step explanation:

Just plug it into slope intercept form which is y = mx + b

hope this helped!

4 0

3 years ago

Read 2 more answers

Which ordered pair is the solution set for the system of equations below? 2x + y = 18 x – y = –6

qaws [65]

Answer:

(4,10) is the solution

Step-by-step explanation:

2x + y = 18

x – y = –6

Using elimination

2x + y = 18

x – y = –6

----------------------

3x = 12

Dividing each side by 3

3x/3 = 12/3

x =4

Now we can find y

2x+y = 18

2(4) +y =18

8+y = 18

Subtracting 8 from each side

8-8+y = 18-8

y=10

(4,10) is the solution

7 0

3 years ago

Joe uses factoring by grouping to factor the polynomial

aniked [119]

Answer:

3xy(x + 5y)-2(x+5y)

Step-by-step explanation:

8 0

3 years ago