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2 years ago

Part A: Divide (8x4y3 + 4x3y2 - 2x2y - 12x2y4) by -2x2y. Show your work, and justify each step.

1 answer:

5 0

Let's simplify step-by-step.8x4y3+4x3y2−2x2y−12x2y4=8x4y3+4x3y2+−2x2y+−12x2y4Answer:=8x4y3−12x2y4+4x3y2−2x2y

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Need help please its my last question

Nesterboy [21]

Given:

Radius of circle = 12 units

Area of sector = 24π sq. units.

Central angle = x

To find:

The value of x.

Solution:

We have,

$r=12$

$A=24\pi$

$\theta = x$

We know that, area of a sector is

$A=\dfrac{\theta }{360^\circ}\pi r^2$

Where, $\theta$ is central angle, r is radius.

$24\pi=\dfrac{x}{360^\circ}\pi (12)^2$

$24\pi=\dfrac{x}{360^\circ}\pi (144)$

$\dfrac{24\pi}{144\pi}=\dfrac{x}{360^\circ}$

$\dfrac{1}{6}=\dfrac{x}{360^\circ}$

Multiply both sides by 360 degrees.

$\dfrac{1}{6}\times 360^\circ=x$

$60^\circ=x$

The value of x is 60 degrees.

Therefore, the correct option is A.

4 0

2 years ago

A rowing team rowed 90 miles while going with the current in the same amount of time as it took to row 10 miles going against th

SVETLANKA909090 [29]

Answer:

5mph

Step-by-step explanation:

Let speed of boat in still water is s.

Distance proportional to speed

90/10 = (s+ 4)/(s - 4)

=> 9s - 36 = s + 4

=> 8s = 40

=> s= 5 mph

:-)

8 0

1 year ago

ONLY ANSWER IF YOU KNOW, SHOW WORK

yulyashka [42]

Answer:

hello,

Step-by-step explanation:

$cos(3\theta)+cos(4\theta)\\\\=2*cos(\dfrac{4\theta+3\theta}{2} )*cos(\dfrac{4\theta-3\theta}{2} )\\\\\boxed{=2*cos(\dfrac{7\theta}{2} )*cos(\dfrac{\theta}{2} )}$

6 0

2 years ago

(√2)^3 <img src="https://tex.z-dn.net/?f=%20%28%5Csqrt%7B2%29%20%7B%3F%7D%5E%7B3%20%5C%5C%7D%20" id="TexFormula1" title=" (\s

Vedmedyk [2.9K]

$\sf \left(\sqrt{2}\right)^3\\\\\\\\\boxed{\sf \mathrm{Apply\:radical\:rule}:\quad \sqrt{a}=a^{\frac{1}{2}}}\\\\\\\\\sf \left(2^{\frac{1}{2}}\right)^3\\\\\\\\\boxed{\sf\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc} }\\\\\\\\\sf \sf 2^{\frac{1}{2}\cdot \:3}\\\\\\\\\sf 2^{\frac{3}{2}}\\\\\\\\\sf 2^{\frac{3}{2}}=2^{1+\frac{1}{2}}\\\\\\\\\sf 2^{1+\frac{1}{2}}\\\\\\\\\boxed{\sf \mathrm{Apply\:exponent\:rule}:\quad \:x^{a+b}=x^ax^b}\\\\\\\\\sf$

$\sf 2 ^1\cdot \:2^{\frac{1}{2}}\\\\\\\\\boxed{\sf \mathrm{Refine}}\\\\\\\\\boxed{\sf =2\sqrt{2}}$

5 0

2 years ago

How to find the variable

sergejj [24]

X=13 since the triangle adds up to 180, you know one side is 90 degrees and the other two angles are equal to each other because the opposite sides are equal to each other. the two angles must add up to 90 degrees so you divide by 2 and you get 45 degrees for each angle E and G and you set 3x+6=45. you subtract both sides by 6 and then you have 3x=39 and now divide both sides by 3 and x=13.

4 0

2 years ago