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3 years ago

PLEASE ANSWER WILL GIVE BRANIEST AND A KISS :3

Mathematics

1 answer:

klemol [59]3 years ago

5 0

The radius of a cone would be half the diameter of the base ( bottom circle)
In this image the radius is labeled A

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Help me with thissss

yulyashka [42]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is the measure of angle 1?

frutty [35]

Sum of all the interior angles = (5-2)x180 = 540°
540 - 100 - 120 - 100 - 90 = 130°
So the last unknown angle in the polygon is 130°

Sum of all the adjacent angles on a straight line is 180°
Angle 1 = 180 - 130 = 50°

3 0

2 years ago

Find the partial fraction decomposition of the rational expression with prime quadratic factors in the denominator

SpyIntel [72]

$\dfrac{5x^4-7x^3-12x^2+6x+21}{(x-3)(x^2-2)^2}=\dfrac{a_1}{x-3}+\dfrac{a_2x+a_3}{x^2-2}+\dfrac{a_4x+a_5}{(x^2-2)^2}$
$\implies 5x^4-7x^3-12x^2+6x+21=a_1(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(a_4x+a_5)(x-3)$

When $x=3$ , you're left with

$147=49a_1\implies a_1=\dfrac{147}{49}=3$

When $x=\sqrt2$ or $x=-\sqrt2$ , you're left with

$\begin{cases}17-8\sqrt2=(\sqrt2a_4+a_5)(\sqrt2-3)&\text{for }x=\sqrt2\\17+8\sqrt2=(-\sqrt2a_4+a_5)(-\sqrt2-3)\end{cases}\implies\begin{cases}-5+\sqrt2=\sqrt2a_4+a_5\\-5-\sqrt2=-\sqrt2a_4+a_5\end{cases}$

Adding the two equations together gives $-10=2a_5$ , or $a_5=-5$ . Subtracting them gives $2\sqrt2=2\sqrt2a_4$ , $a_4=1$ .

Now, you have

$5x^4-7x^3-12x^2+6x+21=3(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(x-5)(x-3)$
$5x^4-7x^3-12x^2+6x+21=3x^4-11x^2-8x+27+(a_2x+a_3)(x-3)(x^2-2)$
$2x^4-7x^3-x^2+14x-6=(a_2x+a_3)(x-3)(x^2-2)$

By just examining the leading and lagging (first and last) terms that would be obtained by expanding the right side, and matching these with the terms on the left side, you would see that $a_2x^4=2x^4$ and $a_3(-3)(-2)=6a_3=-6$ . These alone tell you that you must have $a_2=2$ and $a_3=-1$ .

So the partial fraction decomposition is

$\dfrac3{x-3}+\dfrac{2x-1}{x^2-2}+\dfrac{x-5}{(x^2-2)^2}$

7 0

3 years ago

Find the surface area of the prism.<br> Please help!!

Sergio039 [100]

Answer:

308

Step-by-step explanation:

13 $x$ 6 $x$ 2 =

13 $x$ 4 $x$ 2 =

6 $x$ 4 $x$ 2 =

Add

156

104

+ 48

_____

308

me is in the pic

5 0

3 years ago

Complete the proof of the Chinese remainder theorem by showing that the simultaneous solution of a system of linear congruences

Semenov [28]

Answer:

Sorry I don`t know this

Step-by-step explanation:

I wish I could help you with it

7 0

3 years ago