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3 years ago

Is this right? Thanks for helping

Mathematics

1 answer:

Paladinen [302]3 years ago

7 0

I'm pretty sure it's 20% because it's 12 people that have both traits out of 60 people in total. 12 x 5 = 60.

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Describe fully transformation that maps triangle A onto triangle B

vitfil [10]

Answer:

Reflection on the x axis

Step-by-step explanation:

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2 years ago

O is the center of the regular octagon below. Find its area. Round to the nearest tenth

Sedbober [7]

Answer:229.1

Step-by-step explanation: to much work I thought to hard that’s the answer your welcome buddy

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2 years ago

the measure of the angle triangle are in the ratio 2:3:4. in degrees; what is the measure of the largest angle of the triangle

emmasim [6.3K]

The answer is 80, 2x+3x+4x=180, so x=20. 20*4=80.

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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

The radius of a basketball hoop is 9 inches. Which expression can be used to find the hoop's circumference in inches?

ratelena [41]

C = pi * r ^squared
r = is radius
square the radius, multiple by r
or
2 x pi x r

3 0

3 years ago

Read 2 more answers