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Dafna11 [192]
3 years ago
5

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\pi10 = 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:

<em>F</em> = a person with fibromyalgia

<em>R</em> = 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]

<u><em>Answer:</em></u>

She stayed awake for 295 minutes today

<u><em>Explanation:</em></u>

<u>We are given that:</u>

Yesterday, she drank one cup

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

<u>This means that:</u>

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

<u>Finally, we convert this to minutes:</u>

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
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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
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What is the equation of the absolute function shown in the graph?
oee [108]

Answer is <u>6|x+2|+2</u>

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

<em>By </em><em>Benjemin</em><em> </em>☺️

6 0
2 years ago
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