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xxMikexx [17]
3 years ago
8

Divide. Give the quotient and remainder. 426÷8

Mathematics
1 answer:
Anna007 [38]3 years ago
8 0
We can start to solve this problem like how we solve any division problem. Since 8 doesn't go evenly into 4, we can move one digit to right, giving us the number 42. 42 divided by 8 is 5, so we write 5 on top of the division bar and keep working. Since 42-40 is 2, there's still 2 remained after doing that. Now we can bring down the 6, turning the number into 26. 26 divided by 8 is 3 remained 2, so we can put the three next to the 5. Since we have two remained and no more numbers, that means that the answer to 426/8 is 53 remainder 2. 
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Simplify: cos2x-cos4 all over sin2x + sin 4x
GrogVix [38]

Answer:

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)

Step-by-step explanation:

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}

Apply formula:

\cos\left(A\right)-\cos\left(B\right)=-2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right) and

\sin\left(A\right)+\sin\left(B\right)=2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)

We get:

=\frac{-2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\sin\left(\frac{2x-4x}{2}\right)}{2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\cos\left(\frac{2x-4x}{2}\right)}

=\frac{-\sin\left(\frac{2x-4x}{2}\right)}{\cos\left(\frac{2x-4x}{2}\right)}

=\frac{-\sin\left(\frac{-2x}{2}\right)}{\cos\left(\frac{-2x}{2}\right)}

=\frac{-\sin\left(-x\right)}{\cos\left(-x\right)}

=\frac{-\cdot-\sin\left(x\right)}{\cos\left(x\right)}

=\frac{\sin\left(x\right)}{\cos\left(x\right)}

=\tan\left(x\right)

Hence final answer is

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)

6 0
3 years ago
Can somebody help me with this?
Natasha_Volkova [10]

Step-by-step explanation:

Hey there!

By looking through figure, l and m are parallel lines and a transversal line passes through the lines.

Now,

7x + 12° = 12x - 28°( alternate angles are equal)

12°+28° = 12x - 7x

40° = 5x

x =  \frac{40}{5}

Therefore, x = 8°

Now,

12x - 28° + 9y - 77 = 180° ( being linear pair)

12×8° - 28° + 9y -77° = 180°

96° - 28° + 9y - 77° = 180°

-9 + 9y = 180°

9y = 180° + 9°

y = 189°/9

Therefore, y = 21°

<u>There</u><u>fore</u><u>,</u><u> </u><u>X </u><u>=</u><u> </u><u>8</u><u>°</u><u> </u><u>and</u><u> </u><u>y</u><u>=</u><u> </u><u>2</u><u>1</u><u>°</u><u> </u><u>.</u>

<em><u>Hope</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

4 0
3 years ago
you read online that a 15 ft by 20 ft brick patio would cost about 2, 275 to have professionally installed. estimate the cost of
hoa [83]
That would cost roughly $5,717.83
8 0
3 years ago
I need some help with math
Valentin [98]

Answer:

PT, VP

Step-by-step explanation:

if p is the center and T V and W are on the circle

the radius goes from the center of the circle to the edge of the circle

then PW PT and PW are radii of the circle


6 0
3 years ago
8x7+4-10SOMEONE HELP PLS AND THANK U:)
pychu [463]

Answer:

50

Step-by-step explanation:

7 0
3 years ago
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