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Svetllana [295]
3 years ago
8

Simplifying trigonometric expressions help?

Mathematics
1 answer:
Studentka2010 [4]3 years ago
4 0
7.

\dfrac{\sin\theta\cdot\cot\theta}{\tan\theta\cdot\cos\theta}=\dfrac{\sin\theta}{\cos\theta}\cdot\dfrac{1}{\tan\theta}\cdot\cot\theta=\tan\theta\cdot\dfrac{1}{\tan\theta}\cdot\cot\theta=\boxed{\cot\theta}

8.

\dfrac{\cot\theta}{\cos\theta}\cdot\dfrac{\sin\theta\cdot\cos^2\theta}{1-\cos^2\theta}=\dfrac{\cot\theta}{\cos\theta}\cdot\dfrac{\sin\theta\cdot\cos^2\theta}{\sin^2\theta}=\cot\theta\cdot\dfrac{\cos\theta}{\sin\theta}=\cot\theta\cdot\cot\theta=\\\\\\=\boxed{\cot^2\theta}
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I report if u guess or answer randomly. Which confidence level would produce the widest interval when estimating the mean of a p
kap26 [50]

Answer:

B. 61%

Step-by-step explanation:

When we have the standard deviation of a sample, we use the t-distribution.

The width of an interval is related to the margin of error, which is given by the following equation:

M = T*s

In which T is related to the confidence level(and the sample size) and s is the standard deviation of the sample. Higher confidence levels have higher values of T.

A higher margin of error means that the interval is wider. To have a higher margin of error, we desire a higher value of T, which is achieved with a higher confidence level.

So the correct answer is:

B. 61%

5 0
3 years ago
10. How many three-topping pizzas can be ordered from the list of toppings below? Did you calculate the number of permutations o
Nimfa-mama [501]

Step-by-step explanation:

Total numbers of pizza toppings = 12

Number of three topping pizzas can be ordered are:

P^{n}_{k}=\frac{n!}{(n-k)!}

where = n = number of elements

k = number of elements choosen

n= 12 , k = 3

\frac{12!}{(12-3)!} =\frac{12\times 11\times 10\times 9!}{9!}= 1,320

We calculated the number of permutations. We made this choice because in permutation order of element matters but in combination its not.

8 0
3 years ago
Can someone answer number 11?
Anna71 [15]

Answer:

Step-by-step explanation:

To be rational means to be able to express the result as the ratio of two whole numbers.

a) 4/7 + (-1/3) = 12/21 - 7/21 = 5/21 so rational

b) √(4) • 2/5 = ±2 • 2/5 = ±4/5 so both solutions are rational

5 0
3 years ago
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In 1910, halley's comet traveled close to earth about 1/7 of the distance from the earth to the sun. Earth's distance from the s
otez555 [7]

Answer:

Imma answer this because I don’t want this to get deleted for not bein answered and there free point who wouldn’t want them, lol :)

Step-by-step explanation:

6 0
2 years ago
An elevator began in the 9th floor. It went down 7 floors. Then, it went up 4 floors. On which floor did it stop?
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The answer is floor number 6
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1 year ago
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