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3 years ago

Find cos x if sin x cot x = 0.5.

Mathematics

2 answers:

I am Lyosha [343]3 years ago

8 0

Answer:

Choice A is correct.

Step-by-step explanation:

We have given that:

sin x cot x = 0.5.

We have to find the value of cos x .

As we know that cot x is the ratio of cos x and sin x.

cot x = cos x / sin x.

We have,

sin x (cos x / sin x) = 0.5.

cos x = 0.5

cos x = 0.5 is the answer.

sergiy2304 [10]3 years ago

4 0

Answer:

Choice A

Step-by-step explanation:

We are given;

$sinxcotx=0.5$

but we know that;

$cotx=\frac{1}{tanx}=\frac{cosx}{sinx}$

Substituting the last expression in place cot x yields;

$sinx*\frac{cosx}{sinx}=0.5\\ cosx=0.5$

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A tank is in the shape of a cylinder 7 feet tall and 10 feet and radius find the exact surface area of the tank

Varvara68 [4.7K]

Answer:

$2036.75088022^{2}$ or $2036.8^{2}$ rounded to the nearest tenth

Step-by-step explanation:

1. Find the area of the base and the top, which are circles.

Area of circle : $\pi 10^{2}$ = 986.960440109

There are 2 circles, soooooo....= 986.960440109 x 2 = 1973.92088022

2. Find the rest of the area of the cylander.

So, we have to find the circumference of the circle.

Circumference :2 $\pi$ 10 = 62.83

3. Multiply circumference by height.

62.83 x 7 = 439.81

4. Add all of the products.

439.81 + 1973.92088022 = $2036.75088022^{2}$ or $2036.8^{2}$ rounded to the nearest tenth

6 0

2 years ago

Restless Leg Syndrome and Fibromyalgia

Anna11 [10]

Answer:

The probability that a person with restless leg syndrome has fibromyalgia is 0.183.

Step-by-step explanation:

Denote the events as follows:

F = a person with fibromyalgia

R = a person having restless leg syndrome

The information provided is as follows:

P (R | F) = 0.33

P (R | F') = 0.03

P (F) = 0.02

Consider the tree diagram attached below.

Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:

$P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}$

$=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=\frac{0.0066}{0.0066+0.0294}\\\\=0.183333\\\\\approx 0.183$

Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.183.

3 0

2 years ago

Any time Speedy the Sloth is not sleeping, she drinks chamomile tea at a steady rate of 2/7 of a cup per hour. Yesterday, she dr

Nitella [24]

Answer:

She stayed awake for 295 minutes today

Explanation:

We are given that:

Yesterday, she drank one cup

Today, she drank $\frac{17}{42}$ of a cup more than yesterday

This means that:

Number of cups she drank today = $1+\frac{17}{42}=1\frac{17}{42}cups$

Now, we know that she drinks $\frac{2}{7}$ of a cup per hour any time she is not sleeping

We use cross multiplication to get the time she took to drink $1\frac{17}{42}$ cups

1 hour ...........................> $\frac{2}{7}$ of a cup

?? hours ......................> $1\frac{17}{42}$ cups

Time taken = $\frac{1\frac{17}{42}*1 }{\frac{2}{7} } = \frac{59}{12} = 4\frac{11}{12} hours$

This means that she was awake for $4\frac{11}{12}$ hours

Finally, we convert this to minutes:

Knowing that 1 hour has 60 minutes, therefore:

She stayed awake for $4\frac{11}{12} * 60 = 295$ minutes

Hope this helps :)

8 0

3 years ago

Read 2 more answers

A jar of peanut butter weighs 7 ounces, and a jar of jelly weighs 4 ounces. If Karen buys 8 jars of peanut butter, how many jars

ad-work [718]

Karen will have to buy 14 jars to have an equal weight of peanut butter

7 0

3 years ago

What is the equation of the absolute function shown in the graph?

oee [108]

Answer is 6|x+2|+2

Please check the attached image of answer to clear the doubt.

By Benjemin ☺️

6 0

2 years ago