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2 years ago

The volume of a cylinder is 1,0297 cubic

1 answer:

8 0

$\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=10297\\ h=21 \end{cases}\implies 10297=\pi r^2(21)\implies \cfrac{10297}{21\pi }=r^2 \\\\\\ \cfrac{1471}{3\pi }=r^2\implies \sqrt{\cfrac{1471}{3\pi }}=r\implies 12\approx r$

You might be interested in

If the original square had a side length of

irina [24]

Answer:

Part a) The new rectangle labeled in the attached figure N 2

Part b) The diagram of the new rectangle with their areas in the attached figure N 3, and the trinomial is $x^{2} +11x+28$

Part c) The area of the second rectangle is 54 in^2

Part d) see the explanation

Step-by-step explanation:

The complete question in the attached figure N 1

Part a) If the original square is shown below with side lengths marked with x, label the second diagram to represent the new rectangle constructed by increasing the sides as described above

we know that

The dimensions of the new rectangle will be

$Length=(x+4)\ in$

$width=(x+7)\ in$

The diagram of the new rectangle in the attached figure N 2

Part b) Label each portion of the second diagram with their areas in terms of x (when applicable) State the product of (x+4) and (x+7) as a trinomial

The diagram of the new rectangle with their areas in the attached figure N 3

we have that

To find out the area of each portion, multiply its length by its width

$A1=(x)(x)=x^{2}\ in^2$

$A2=(4)(x)=4x\ in^2$

$A3=(x)(7)=7x\ in^2$

$A4=(4)(7)=28\ in^2$

The total area of the second rectangle is the sum of the four areas

$A=A1+A2+A3+A4$

State the product of (x+4) and (x+7) as a trinomial

$(x+4)(x+7)=x^{2}+7x+4x+28=x^{2} +11x+28$

Part c) If the original square had a side length of x = 2 inches, then what is the area of the second rectangle?

we know that

The area of the second rectangle is equal to

$A=A1+A2+A3+A4$

For x=2 in

substitute the value of x in the area of each portion

$A1=(2)(2)=4\ in^2$

$A2=(4)(2)=8\ in^2$

$A3=(2)(7)=14\ in^2$

$A4=(4)(7)=28\ in^2$

$A=4+8+14+28$

$A=54\ in^2$

Part d) Verify that the trinomial you found in Part b) has the same value as Part c) for x=2 in

We have that

The trinomial is

$A(x)=x^{2} +11x+28$

For x=2 in

substitute and solve for A(x)

$A(2)=2^{2} +11(2)+28$

$A(2)=4 +22+28$

$A(2)=54\ in^2$ ----> verified

therefore

The trinomial represent the total area of the second rectangle

7 0

3 years ago

111 is 25\%25%25, percent of what number?

vodka [1.7K]

Answer:

444

Step-by-step explanation:

111x4=444

25 percent is equal to 1/4

8 0

2 years ago

A candy maker is making candy canes to sell over the holidays she has 45 left over the last month sale and she can make 225 per

notsponge [240]

F(x) stands for a function, and if x stands for the number of days, than she can do 225 per day, which would be the multiplication to find the toatl 225x.

Then, with 45 extra, we add that to the equation:

F(x) = 225x + 45

Answer: F(x) = 225x + 45

Credit to: @2Educ8

+ = <3

8 0

3 years ago

erma4kov [3.2K]

The answer is 365 don’t listen to me

8 0

2 years ago

• What are two ways to start solving this equation? Choose BOTH.

zhannawk [14.2K]

Answer:

Divide both sides by-2

Use the distributive property

Step-by-step explanation:

If you divided both sides by -2, you would get n + 3 = -6.5. Then you would have to subtract 3 from both sides, so n would be -9.5.

However, if you used the distributive property, you would get -2n - 6 = 13. Then you could add 6 to both sides and get -2n = 19. Finally, to solve for n, you would divide both sides by -2 to get n = -9.5.

Hope this helps!

5 0

2 years ago