Find the missing side of this right<br> triangle.<br> Х<br> 6<br> 10

Which shape could be thought of as being created by stacking congruent polygons

Colt1911 [192]

When they talk about congruent polygons, they meant geometric figures that are all equal in shape and size.

It's angled, and the side length is equal too.

When you piled equal polygons, you'll end up with what we call prisms. It's the 3D form of a polygon.

If you stack squares, you'll have a cube.

If you stack octagons, you'll have an octagon prism.

7 0

2 years ago

Read 2 more answers

A tank has the shape of a surface generated by revolving the parabolic segment y = x2 for 0 ≤ x ≤ 3 about the y-axis (measuremen

Darina [25.2K]

Answer:

$100\pi\int\limits^9_0 {(\sqrt y)^2(14-y)} \, dy$ ft-lbs.

Step-by-step explanation:

Given:

The shape of the tank is obtained by revolving $y=x^2$ about y axis in the interval $0\leq x\leq 3$ .

Density of the fluid in the tank, $D=100\ lbs/ft^3$

Let the initial height of the fluid be 'y' feet from the bottom.

The bottom of the tank is, $y(0)=0^2=0$

Now, the height has to be raised to a height 5 feet above the top of the tank.

The height of top of the tank is obtained by plugging in $x=3$ in the parabolic equation . This gives,

$H=3^2=9\ ft$

So, the height of top of tank is, $y(3)=H=9\ ft$

Now, 5 ft above 'H' means $H+5=9+5=14$

Therefore, the increase in height of the top surface of the fluid in the tank is given as:

$\Delta y=(14-y)$ ft

Now, area of cross section of the tank is given as:

$A(y)=\pi r^2\\r\to radius\ of\ the\ cross\ section$

Radius is the distance of a point on the parabola from the y axis. This is nothing but the x-coordinate of the point.

We have, $y=x^2$

So, $x=\sqrt y$

Therefore, radius, $r=\sqrt y$

Now, area of cross section is, $A(y)=\pi (\sqrt y)^2$

Work done in pumping the contents to 5 feet above is given as:

$W=D\int\limits^{y(3)}_{y(0)} {A(y)(\Delta y)} \, dy$

Plug in all the values. This gives,

$W=100\int\limits^9_0 {\pi (\sqrt y)^2(14-y)} \, dy\\\\W=100\pi\int\limits^9_0 { (\sqrt y)^2(14-y)} \, dy\textrm{ ft-lbs}$

7 0

2 years ago

In a sample of 144 cookies approximately 12% are broken. how many cookies in the sample are broken? round answer to nearest cook

sattari [20]

144 x 17% (or .17) = 17.28
Estimate 17. 3 or 17 (I’ll let you figure it out which one )

4 0

3 years ago

Please help 10 points 1 question

gregori [183]

Answer:

ty for point have a nice day po

4 0

2 years ago

A triangle. A ABC, has angle measures of 82*, 75, and 23' and no sides equal (congruent) in length. How would this triangle be

vodomira [7]

Answer:

its scalene triangle since for iscocles two legnths are equal.

Step-by-step explanation:

answer from GAUTHMATH

6 0

2 years ago

Find the missing side of this right triangle. Х 6 10