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4 years ago

Find the volume of a cylinder with a height of 5 meters and a diameter that is 4 times the measure of the height.

1 answer:

5 0

<span>The correct answer between all the choices given is the last choice or letter D, which is 1570 m3. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.</span>

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If AD equals 3X +3 CD equals X +9, what is the value of X?

kirill [66]

Answer:

x=3

Step-by-step explanation:

2x+3=9

2x=6

x=3

5 0

4 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 16x2 + y2 = 16 and the plane x + y

Yuri [45]

Let the curve C be the intersection of the cylinder

$16x^2+y^2=16$

and the plane

$x+y+z=1$

The projection of C on to the x-y plane is the ellipse

$16x^2+y^2=16$

To see clearly that this is an ellipse, le us divide through by 16, to get

$\frac{x^2}{1}+ \frac{y^2}{16}=1$

$\frac{x^2}{1^2}+ \frac{y^2}{4^2}=1$ ,

We can write the following parametric equations,

$x=cos(t), y=4sin(t)$

for

$0\le t \le 2\pi$

Since C lies on the plane,

$x+y+z=1$

it must satisfy its equation.

Let us make z the subject first,

$z=1-x-y$

This implies that,

$z=1-sin(t)-4cos(t)$

We can now write the vector equation of C, to obtain,

$r(t)=(cos(t),4sin(t),1-cos(t)-4sin(t))$

The length of the curve of the intersection of the cylinder and the plane is now given by,

$\int\limits^{2\pi}_0 {|r'(t)|} \, dt$

But

$r'(t)=(-sin(t),4cos(t),sin(t)-4cos(t))$

$|r'(t)|=\sqrt{(-sin(t))^2+(4cos(t))^2+(sin(t)-4cos(t))}$

$\int\limits^{2\pi}_0 {\sqrt{2sin^2(t)+32cos(t)-8sin(t)cos(t)} }\, dt=24.08778184$

Therefore the length of the curve of the intersection intersection of the cylinder and the plane is 24.0878 units correct to four decimal places.

6 0

3 years ago

In a game, Janeesa started with 0 points. She then earned 50 points, lost 80 points and earned 10 points. Which number line show

umka2103 [35]

Answer:

-20

Step-by-step explanation:

If Jeneesa started with, 0 points and she earned 50, then she would have 50. If she lost 80 points, she would go into the negatives. She would be at -30, and when she earned 10 more points, she would be at -20.

I don't know what your options look like, but look at the one(s) with -20 at the end and figure out what one best fits my explanation (and the numbers I use)!

3 0

3 years ago

Use long division to determine the decimal equivalent of fraction with numerator 2 and denominator 3. 0 point 6 bar 0 point 7 ba

VikaD [51]

Answer:

The correct answer is A

$0.\bar6$

Step-by-step explanation:

We want to determine the decimal equivalence of $\frac{2}{3}$ .

We perform the long division as shown in the attachment.

Note that in carry out the long division, the denominator which is 3, will be outside the long division sign, while the numerator which is $2$ , will be inside the long division sign.