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Misha Larkins [42]
3 years ago
11

Use a double angle identity to rewrite the formula r(Θ)=

9" id="TexFormula1" title="1/16v^2sin(theta)cos(theta)" alt="1/16v^2sin(theta)cos(theta)" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Artist 52 [7]3 years ago
7 0

Answer:

1/32v²sin2θ

Step-by-step explanation:

Given the expression r(theta) = 1/16v²sinθcosθ

According to double angle of trigonometry identity;

Sin2θ = sin(θ+θ)

Sin2θ = sinθcosθ + cosθsinθ

Sin2θ = 2sinθcosθ

sinθcosθ = sin2θ/2 ... **

Substituting equation ** into the question

1/16v²sinθcosθ = 1/16v²(sin2θ/2)

1/16v²sinθcosθ = 1/2×1/16v²(sin2θ)

1/16v²sinθcosθ = 1/32v²sin2θ

Hence using the double angle identity, the equivalent expression is 1/32v²sin2θ

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The information we have is:

5 drops of flavor are needed for 12 ounces of water.

To solve the problem, first we need to find the amount of drops needed per ounce of water, and then multiply that by the number of ounces that we need which is 1280.

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To find this, divide 5 drops by 12 ounces:

\frac{5}{12}

5/12 drops are needed per ounce.

The number of drops in 1280 ounces:

Now we multiply 5/12 by 1280:

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Answer: 533.333 Drops

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1 year ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

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Tim has $1,650 in the beginning.  He spends $200 per week.

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We are trying to find which x-value produces the same y-value for both equations.  You can do this by setting both equations equal to each other.

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Answer:

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