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:

Option D: A cylinder with a circumference of about 50 units

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.

So, the answer option is D.

You might be interested in

Solve the problem.

skad [1K]

Answer:

The population reaches 42,336 fish in 2258

Step-by-step explanation:

Given:

$P = 0.62x^2 - 0.043x + 3$

To Find:

Time taken to reach 42,336 = ?

Solution:

According to the question x is the number of years after which the population .

Then

$42336 = 0.62x^2 - 0.043x + 3$

$0 = 0.62x^2 - 0.043x + 3- 42333$

$0.62x^2 - 0.043x -42333$ = 0

Solving using quadratic formula

$x =\frac{ -b\pm \sqrt{b^2 -4ac}}{2a}$

$x =\frac{ -(-0.043)\pm \sqrt{(-0.043) -4(0.62)(42333)}}{2(42333)}$

$x =\frac{ -(-0.043)\pm \sqrt{(0.001849) -0.10664}}{84666}$

x=261.337 x=−261.268

Neglecting the negative value we get

x = 261.337

x = 261 approx

261 years after 1997 = 2258

5 0

4 years ago

Can you guys please help ( for did the letter half cut out is Y

BabaBlast [244]

Answer:

\overline{OQ}

. Given OQ=2x,OQ=2x, OP=x,OP=x, and PQ=10,PQ=10, determine \overline{OQ}.

8 0

3 years ago

Fill in the blank with a symbol that makes this statement true 5/12 and 1/3

zhannawk [14.2K]

5/12 > 1/3 because 1/3 is equal to 4/12 and 5 is greater than 4

8 0

4 years ago

-7(2 + 2x) = -84 pls try and show work

Hoochie [10]

Answer:

The final answer is $\bold{x = 5}$ .

Step-by-step explanation:

Hey there! We will solve this using the distributive property.

The distributive property states that when we are given $a(b \pm c)$ , we can "distribute" the a through the parentheses and therefore multiply together a & b as well as a & c.
This would end up giving us an equation such as $(a \times b \pm b \times c)$ .
After we get this, we can simplify it as a one-step, two-step, or multi-step equation.

Now, we can apply these methods and solve for x in the equation!

$\text{-7(2 + 2x) = -84 \ \ This is where we begin distributing.}\\\\\text{To distribute, we will multiply the -7 by 2, and the - 7 by 2x.}\\\\\text{Be sure to keep the original operator in the parentheses!}\\\\\text{-14 - 14x = -84 \ \ Now, simplify the equation as a two-step equation.}\\\\\text{-14x = -70 \ \ Now, we have to divide by -14 on both sides to get x by itself.}\\\\\text{x = 5 \ \ And, now, we have our final answer!}$

And there we go! We found that the final answer is 5. Hope this helps!

8 0

3 years ago

How to solve 3/7+3/14

RUDIKE [14]

Answer:

About 0.642

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers