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Elza [17]
3 years ago
6

Jeremy will roll a number cube, numbered 1−6

Mathematics
1 answer:
Marina CMI [18]3 years ago
7 0

Answer:

Step-by-step explanation:

p(even) = 3/6

p  number 3 = 1/6

p (even then number 3) = 3/6 * 1/6 = 3/36

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The library drawer-upon-drawer file that contains information about every book in the library is called the card catalog.
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we need any help on this home I can you turn it in by Monday so can you help me please. i need on 9 and 10
marta [7]
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3 years ago
For what values of θ on the polar curve r=θ, with 0≤θ≤2π , are the tangent lines horizontal? Vertical?
Bond [772]
Given that r=\theta, then r'=1

The slope of a tangent line in the polar coordinate is given by:

m= \frac{r'\sin\theta+r\cos\theta}{r'\cos\theta-r\sin\theta}

Thus, we have:

m= \frac{\sin\theta+\theta\cos\theta}{\cos\theta-\theta\sin\theta}



Part A:

For horizontal tangent lines, m = 0.

Thus, we have:

\sin\theta+\theta\cos\theta=0 \\  \\ \theta\cos\theta=-\sin\theta \\  \\ \theta=- \frac{\sin\theta}{\cos\theta} =-\tan\theta

Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are horizontal are:

</span><span>θ = 0

</span>θ = <span>2.02875783811043
</span>
θ = <span>4.91318043943488



Part B:

For vertical tangent lines, \frac{1}{m} =0

Thus, we have:

\cos\theta-\theta\sin\theta=0 \\  \\ \Rightarrow\theta\sin\theta=\cos\theta \\  \\ \Rightarrow\theta= \frac{\cos\theta}{\sin\theta} =\sec\theta

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</span>θ = <span>4.91718592528713</span>
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<span>

</span>
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After 20 minutes Juan had it completed 12 questions, which is 0.7 of his assignment. Which percent of the Simons have he not com
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