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3 years ago

Enter the number that the equation 0.76

Mathematics

1 answer:

nikklg [1K]3 years ago

6 0

Enter the number ? How

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Find the HCF of 1045 and 1520 by long division. Method plsss

aliina [53]

Answer:

Step-by-step explanation:

you can watch answer in photo. by the way where r u from?

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3 years ago

Please help with this

Evgen [1.6K]

( 20 - 16 / 16 ) × 100 =

( 4 / 16 ) × 100 =

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3 years ago

Cos^2 x+4sin^2 x/2=1

lana [24]

$Let\ \dfrac{x}{2}=a,\ therefore\ x=2a.\\\\\cos^2x+4\sin^2\dfrac{x}{2}=\cos^22a+4\sin^2a\\\\\text{use}\ \cos2x=\sin^2x-\cos^2x\\\\=(\sin^2a-\cos^2a)^2+4\sin^2a\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=(\sin^2a)^2-2(\sin^2a)(\cos^2a)+(\cos^2a)^2+4\sin^2a\\\\=\sin^4a-2\sin^2a\cos^2a+\cos^4a+4\sin^2a\\\\=\underbrace{\sin^4a+2\sin^2a\cos^2a+\cos^4a}_{(*)}-4\sin^2a\cos^2a+4\sin^2a\\\\\text{use}\ (*)\qquad(a+b)^2=a^2+2ab+b^2$

$=\underbrace{(\sin^2a)^2+2\sin^2a\cos^2a+(\cos^2a)^2}_{(*)}-4\sin^2a(\cos^2a-1)\\\\=(\sin^2a+\cos^2a)^2-4\sin^2a(\cos^2a-1)\\\\\text{use}\ \sin^2a+\cos^2a=1\to\sin^2a=\cos^2a-1\\\\=1^2-4\sin^2a(\sin^2a)=1-4\sin^4a=1-(2\sin^2a)^2$

$\cos^22a+4\sin^2a=1\\\\1-(2\sin^2a)^2=1\qquad\text{subtract 1 from both sides}\\\\-(2\sin^2a)^2=0\to2\sin^2a=0\qquad\text{divide both sides by 2}\\\\\sin^2a=0\to\sin a=0\\\\a=k\pi\ for\ k\in\mathbb{Z}\\\\\dfrac{x}{2}=k\pi\qquad\text{multiply both sides by 2}\\\\\boxed{x=2k\pi\ for\ k\in\mathbb{Z}}$

6 0

3 years ago

Write the equation of the line

meriva

Answer:

gradient is the same as slope

so m=9

Step-by-step explanation:

y=9x+C. insert point(1,4)

4=9*1+C

4-9=C

C=-5

so the equation of the line is y=9x-5

7 0

3 years ago

Read 2 more answers

2x + 4y =450 4x + 2y = 420

masya89 [10]

2x+4y=450

2x=450-4y

x=450-4y÷2----- equation 1

4x+2y=420

4x=420-2y

x=420-2y÷4----- equation 2

putting the value of x in equation 1

x=450-4y÷2

420-2y÷4=450-4y÷2

2(420-2y)=4(450-4y)

840-4y=1800-16y

840-1800=-16y-4y

-960= -12y

y=80

putting the value of y in equation1

2x+4y=450

2x+4×80=450

2x+320=450

2x=450-320

2x=130

x=130÷2

x=65

<h2> the value of x is 65 and y is 80</h2>

7 0

3 years ago