All categories

3 years ago

I need help with this

Mathematics

1 answer:

bija089 [108]3 years ago

4 0

Answer:

$Surface\ area = 6728.3125(pi)\\\\Surface\ area = 21137.6171211$

Step-by-step explanation:

The lateral surface area of an object is the surface area of the subject excluding the base and the top of the 3-dimensional figure. The surface area of the object is the 2-dimensional space of an object, in essence, if one was going to wrap the object, the amount of material they would need to cover the object. To find the lateral surface area of a cylinder, one must find the circumference of the circle at the top of the cylinder, and then multiply it by the height of the cylinder. The circumference of a circle is the distance around it, the perimeter.

The formula one would use is,

$A_s = (pi)(r^2)(h)$

Were (pi) represent the value (3.1415...), (r) represent the radius of the base, that is the distance from the center point of the circle on the base, to the outside distance of the circle. The radius of a circle is always half of the diameter. (h) represents the height of the figure.

$A_s = (pi)(r^2)(h)\\\\= (pi)((\frac{3.5}{2})^2))(13)\\\\= (pi)(1.75)^2(13)\\\\= (517.5625)(13)(pi)\\\\=(6728.3125)(pi)\\\\= ~21137.6171211$

You might be interested in

Ardem collected data from a class survey. He then randomly selected samples of five responses to generate four samples.

scoundrel [369]

Solution: The sample mean of sample 1 is:

$\bar{x}=\frac{4+5+2+4+3}{5}= \frac{18}{5}=3.6$

The sample mean of sample 2 is:

$\bar{x}=\frac{2+2+6+5+7}{5}= \frac{22}{5}=4.4$

The sample mean of sample 3 is:

$\bar{x}=\frac{4+6+3+4+1}{5}= \frac{18}{5}=3.6$

The sample mean of sample 4 is:

$\bar{x}=\frac{5+2+4+3+6}{5}= \frac{20}{5}=4$

The minimum sample mean of the four sample means is 3.6 and maximum sample mean of the four sample means is 4.4.

Therefore, using his four samples, between 3.6 and 4.4 will Ardem's actual population mean lie.

Hence the option 3.6 and 4.4 is correct

6 0

3 years ago

Read 2 more answers

At a school picnic, your teacher asks you to mark a field every 10 yards so students can play football. The teacher accidentally

Oxana [17]

Approximately 9 meters are in 10 yards, (as there is approximately 1 meter in a yard, .9144 to be exact.)

3 0

3 years ago

Graph g is a translation of the graph of y= sin x (dashed line).a) write down the equation of g b) write down the coordinates of

labwork [276]

Answer:

a) $G(x)= \sin x + 2$

b) The coordinates of P are

$\displaystyle \left( \frac{3\pi}{2},1\right)$

Step-by-step explanation:

Translation

The dashed line shows the graph of the function

$y = \sin x$

This function has a maximum value of 1, a minimum value of -1, and a center value of 0.

Graph G shows the same function but translated by 2 units up, thus the equation of G is:

$\boxed{G(x)= \sin x + 2}$

b) The coordinates of P correspond to the value of

$x = \frac{3\pi}{2}$

The value of G is

$\displaystyle G(\frac{3\pi}{2})= \sin \frac{3\pi}{2} + 2$

Since

$\sin \frac{3\pi}{2}=-1$

$\displaystyle G(\frac{3\pi}{2})= -1+ 2=1$

The coordinates of P are

$\displaystyle \left( \frac{3\pi}{2},1\right)$

8 0

2 years ago

What number has exactly 6 factors

RoseWind [281]

The factors of 12 are 1, 2, 3, 4, 6, and 12 .

The factors of 32 are 1, 2, 4, 8, 16, and 32 .

4 0

3 years ago

Read 2 more answers

PLEASE HELP

irina [24]

Take the longer leg length as $x$

$(x-8)^2+x^2=(x+8)^2 \\ \\ x^2-16x+64+x^2=x^2+16x+64 \\ \\ x^2-32x=0$

Use the formular
$x={ \frac{-b+ \sqrt{ b^2-4ac}}{2a} } \\ \\ x={ \frac{32+32}{2} } \\ \\ x=32$

∴ shorter leg = 32 - 8 = 24ft
longer leg = 32ft
hypotenuse = 32 + 8 = 40ft

8 0

3 years ago

I need help with this ​

I need help with this