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cluponka [151]
4 years ago
11

Simplify this expression: cos theta/ tan theta cot theta

Mathematics
1 answer:
Dmitry_Shevchenko [17]4 years ago
5 0
Q: \frac{cos\theta}{tan\theta.cot\theta}=?

A:

\frac{cos\theta}{tan\theta.cot\theta}=cos\theta

because... tan\theta.cot\theta=1
*********************************************************
Q: \frac{cos\theta}{tan\theta}.cot\theta=?

A:

\frac{cos\theta}{tan\theta}.cot\theta&= \\  \\ \frac{cos\theta}{\frac{sin\theta}{cos\theta}}.\frac{cos\theta}{sin\theta}&= \\  \\ \frac{cos^2\theta}{sin\theta}}.\frac{cos\theta}{sin\theta}&= \\  \\ \frac{cos^3\theta}{sin^2\theta}}&= cos^3\theta.cosec^2\theta
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djverab [1.8K]

Given :

Ruth wants to buy a skateboard for $44.

She has $100 in her account. She spent $11.36 to buy stationary.

She also wants to buy some comic books for $3.72 each.

To Find :

The maximum number of comic books, n, that Ruth can buy so that she has enough money left to buy the skateboard.

Solution :

Money left after buying skateboard and stationary is :

Money left = $(100 - 11.36 - 44)

Money left = $44.64

Number of comic she can buy is :

n = \dfrac{44.64}{3.72}\\\\n = 12

Therefore, she can buy a maximum of 12 books.

Hence, this is the required solution.

4 0
3 years ago
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20 is what percent of 400
iris [78.8K]
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Which one is > greater or < less than or = equal to?? 6+√8____√6+8​
brilliants [131]

\huge\boxed{\sqrt{6}+8\;is\;greater\;than \;6+\sqrt{8}  }

6+\sqrt[]{8} =8.82\\\sqrt{6}+8=10.44\\\\\boxed{Therefore, \sqrt{6}+8\;is\;greater\;than\;6+\sqrt{8}. }

4 0
3 years ago
QUESTION 1 Provide an appropriate response. Compute the standardized test statistic, X 2 , to test the claim σ 2 ≥ 12.6 if n = 1
Anna [14]

Answer: 11.667

Step-by-step explanation:

The formula to find the test statistic for chi-square test is given by :-

\chi^2=\dfrac{(n-1)\cdot s^2}{\sigma^2}

Given : Claim : \sigma^2=12.6

n = 15\ ;\ s^2 = 10.5

Then , the standardized test statistic will be :-

\chi^2=\dfrac{(15-1)\cdot 10.5}{12.6}\\\\=\dfrac{14\cdot 10.5}{12.6}=11.6666666667\approx11.667

Hence, the standardized test statistic \chi^2=11.667

8 0
3 years ago
Jose asks his friends to guess the higher of two grades he received on his math tests. He gives them two hints. The difference o
denis23 [38]

Option D. 96 is the correct answer.

Explanation:

Let the higher grade be = x

Let the lower grade be = y

As given, The difference of the two grades is 16

x-y=16 or x=16+y   .... (1)

The sum of one-eighth of the higher grade and one-half of the lower grade is 52.

\frac{1x}{8}+\frac{1y}{2}=52   ... (2)

Putting the value of x=16+y in equation (2)

\frac{16+y}{8}+\frac{y}{2}=52

\frac{16+y+4y}{8}=52

\frac{16+5y}{8}=52

16+5y=416

5y=400

y=80

As x=16+y

x=16+80 = 96

Hence, higher grade is 96.


8 0
3 years ago
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