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3 years ago

Find the measure of the angle indicated in bold, which is 20x+5

Mathematics

1 answer:

Vikki [24]3 years ago

6 0

24x-1+20x+5=180
44x+4=180
44x=176
x=4

Therefore, 20x+ 5 is equivalent to 20(4)+5
20(4)+5
80+5
85

Hope this helps :)

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djverab [1.8K]

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3 years ago

Jeremy is the oldest of four brothers. Each of the four boys gets an allowance for doing chores at home each week. The amount of

Fynjy0 [20]

12.75 - 11.25 = 1.50
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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

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

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3 years ago

Use completing the square to solve x^2+6x=13

lara [203]

Answer:

x = -3 +/- square root(22)

Step-by-step explanation:

x = -b +/- square root(b^2 - 4ac) / 2a

ax^2 + bx + c = 0

these are both the quadratic formula but one is solved for the x and another for 0

a= 1

b= 6

c = -13

x= -6 +/- square root( 6^2 - 4(1)(13)) / 2(1)

x = -6 +/- sqrt( 36 + 52) / 2

x= -6 +/- sqrt (88) / 2

sqrt of 88 = 2 x sqrt (22)

divide 2 on each

x= -3 +/- sqrt (22)

8 0

3 years ago

Which property is shown by -3 x (6+5) = -3 x 6+ -3 x 5

aniked [119]

Answer:

The distributive property of multiplication

Step-by-step explanation:

we know that

The <u>distributive property of multiplication</u> states that the product of a number by a sum, is equal to multiply each addend by the number (This is called distributing the number) and then, you can add the products

$a*(b+c)=a*b+a*c$

in this problem we have

$-3*(6+5)=-3*6+-3*5$ ----> the number -3 is distributed

therefore

We have the distributive property of multiplication

4 0

4 years ago