How much is 6/9 + 36/9 to a mixed <br> number

Find each pair of integers, given their sum and product. sum -14, product +24 sum +3, product -18

kvv77 [185]

+3 and -18
The pair of integers are -3 and 6.
-3 + 6 = +3
-3 * 6 = -18

-14 and +24
The pair of integers are -2 and -12
-2 + -12 = -14
-2 * - 12 = +24

3 0

3 years ago

Use cylindrical coordinates. find the volume of the solid that lies within both the cylinder x2 y2 = 9 and the sphere x2 y2 z2 =

marissa [1.9K]

In Cartesian coordinates, the region is given by $-3\le x\le3$ , $-\sqrt{9-x^2}\le y\le\sqrt{9-x^2}$ , and $-\sqrt{16-x^2-y^2}\le z\le\sqrt{16-x^2-y^2}$ . Converting to cylindrical coordinates, using

$\begin{cases}\mathbf x(r,\theta,\zeta)=r\cos\theta\\\mathbf y(r,\theta,\zeta)=r\sin\theta\\\mathbf z(r,\theta,\zeta)=\zeta\end{cases}$

we get a Jacobian determinant of $r$ , and the region is given in cylindrical coordinates by $0\le\theta\le2\pi$ , $0\le r\le3$ , and $-\sqrt{16-r^2}\le z\le\sqrt{16-r^2}$ .

The volume is then

$\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=3}\int_{z=-\sqrt{16-r^2}}^{z=\sqrt{16-r^2}}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta=\dfrac{4(64-7\sqrt7)\pi}3$

6 0

3 years ago

1 ) Find the volume of a cylinder with diameter 22 in and height 15 in.

OverLord2011 [107]

1. The volume of the cylinder is calculated through the equation, V = πr²h. Substituting the known values,
V = π(22 in/2)²(15 in) = 1815π in³ = 5701.99 in²
2. The answer to this item is letter "C. area of the base x height".
3. The volume of the prism is 5 x 5 x 10 cm or equal to 250 cm³.

6 0

4 years ago

Read 2 more answers

WITH PICTURE!!3. What is the value of x in the regular polygon below? (3 points)

monitta

Answer: FIRST OPTION.

Step-by-step explanation:

Regular polygons are those polygons whose sides are equal in length and whose angles are all equal.

By definition each interior angle of a Regular polygon,is:

$\frac{180 ( n -2 )}{n}$ (In degrees)

Where "n" is the number of sides of the polygon.

Observe the Regular polygon given in the exercise.

Since it has 6 sides, you can conclude that it is an Hexagon. Then:

$n=6$

Substituting into $\frac{180 ( n -2 )}{n}$ and evaluating, you get:

$\frac{180 ( 6 -2 )}{6}=120\°$

Knowing this, you can write the following equation:

$3x=120$

Finally, you must solve for "x" in order to find its value. This is:

$x=\frac{120}{3}\\\\x=40$

8 0

4 years ago

Find four numbers that form a geometric progression such that the third term is greater than the first by 12 and the fourth is g

olchik [2.2K]

If $x$ is the first number in the progression, and $r$ is the common ratio between consecutive terms, then the first four terms in the progression are