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oksano4ka [1.4K]
3 years ago
14

The box plots below show the average daily temperatures in January and December for a U.S.

Mathematics
1 answer:
Marysya12 [62]3 years ago
3 0

Answer:

The answer is C

Step-by-step explanation:

Took the test!

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Prove :<br>sin²θ + cos²θ = 1<br><br><br>thankyou ~​
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Answer:

See below

Step-by-step explanation:

Here we need to prove that ,

\sf\longrightarrow sin^2\theta + cos^2\theta = 1

Imagine a right angled triangle with one of its acute angle as \theta .

  • The side opposite to this angle will be perpendicular .
  • Also we know that ,

\sf\longrightarrow sin\theta =\dfrac{p}{h} \\

\sf\longrightarrow cos\theta =\dfrac{b}{h}

And by Pythagoras theorem ,

\sf\longrightarrow h^2 = p^2+b^2 \dots (i)

Where the symbols have their usual meaning.

Now , taking LHS ,

\sf\longrightarrow sin^2\theta +cos^2\theta

  • Substituting the respective values,

\sf\longrightarrow \bigg(\dfrac{p}{h}\bigg)^2+\bigg(\dfrac{b}{h}\bigg)^2\\

\sf\longrightarrow \dfrac{p^2}{h^2}+\dfrac{b^2}{h^2}\\

\sf\longrightarrow \dfrac{p^2+b^2}{h^2}

  • From equation (i) ,

\sf\longrightarrow\cancel{ \dfrac{h^2}{h^2}}\\

\sf\longrightarrow \bf 1 = RHS

Since LHS = RHS ,

Hence Proved !

I hope this helps.

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Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin.
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Find each of the following products of conjugate pairs.See if you can work out a pattern
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Answer: is 0

Step-by-step explanation:

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