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stich3 [128]
3 years ago
13

Solving linear equations 3x+2y=12, x-y=10

Mathematics
1 answer:
liberstina [14]3 years ago
8 0
<span>(-4,0) and (0,-6) is the answer</span>
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Find the area of a circle with a radius 4 mm. Use the value 3.14 for π, and do not round your answer. Be sure to include the cor
just olya [345]

<u>Answer:</u>

A=50.24 mm²

<u>Step-by-step explanation:</u>

A=3.14×4²

A=3.14×16

A=50.24 mm²

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3 years ago
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Simplify this expression.<br> 2^5(13 +12)
Nimfa-mama [501]

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800

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Sin pi/3 __ __ pi/6 = 1/2(sin pi/2 + sin pi/6)
Alinara [238K]

Notice that

• <em>π</em>/2 = <em>π</em>/3 + <em>π</em>/6

• <em>π</em>/6 = <em>π</em>/3 - <em>π</em>/6

Recall the angle sum identities for sine:

sin(<em>x</em> + <em>y</em>) = sin(<em>x</em>) cos(<em>y</em>) + cos(<em>x</em>) sin(<em>y</em>)

sin(<em>x</em> - <em>y</em>) = sin(<em>x</em>) cos(<em>y</em>) - cos(<em>x</em>) sin(<em>y</em>)

By adding these together, we get

sin(<em>x</em> + <em>y</em>) + sin(<em>x</em> - <em>y</em>) = 2 sin(<em>x</em>) cos(<em>y</em>)

==>   sin(<em>x</em>) cos(<em>y</em>) = 1/2 (sin(<em>x</em> + <em>y</em>) + sin(<em>x</em> - <em>y</em>))

Now take <em>x</em> = <em>π</em>/3 and <em>y</em> = <em>π</em>/6 :

sin(<em>π</em>/3) cos(<em>π</em>/6) = 1/2 (sin(<em>π</em>/2) + sin(<em>π</em>/6))

So the blank should be filled with cos.

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3 years ago
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Using integer tiles to find the quotient of 36 divided by 6
Likurg_2 [28]

Answer:

6

Step-by-step explanation:

36/6 is 6

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