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Alinara [238K]
2 years ago
8

The area of a curved surface of a cylinder is 4400cm² and the circumference of its base 110cm. Find the height of the cylinder.​

Mathematics
2 answers:
love history [14]2 years ago
7 0

Answer:

please ap bhi mujhe follow kar lo please

Jet001 [13]2 years ago
5 0

Step-by-step explanation:

Area of a curved surface of a cylinder = 4400 cm².

The circumference of its base = 110 cm.

As we know that,

<u>Formula of :</u> circumference of base = 2πr.

→ 2πr = 110.

→ πr = 55.

<u>Formula of :</u> Curved surface area of cylinder = 2πrh.

→ 2πrh = 4400.

Put the value of πr = 55 in the equation, we get.

→ 2(55)h = 4400.

→ 110h = 4400.

→ h = 40 cm.

Height of cylinder = 40 cm.

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Bad gums may mean a bad heart. Researchers discovered that 82% of people who have suffered a heart attack had periodontal diseas
saveliy_v [14]

Answer:

37.27% probability that he or she will have a heart attack.

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Periodontal disease

Event B: Heart attack

Researchers discovered that 82% of people who have suffered a heart attack had periodontal disease, an inflammation of the gums.

This means that P(A|B) = 0.82

Only 33% of healthy people have this disease.

This means that P(A) = 0.33

Suppose that in a certain community heart attacks are quite rare, occurring with only 15% probability.

This means that P(B) = 0.15

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P(B|A) = \frac{0.15*0.82}{0.33} = 0.3727

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6 0
3 years ago
Two numbers whose sum is 44 and whose product is a maximum
Mashcka [7]

Answer:

x = y = 22

Step-by-step explanation:

It would help to know your math course. Do you know any calculus? I'll assume not.

Equations

x + y = 44

Max = xy

Solution

y = 44 - x

Max = x (44 - x)                    Remove the brackets

Max = 44x - x^2                   Use the distributive property to take out - 1 on the right.

Max = - (x^2 - 44x )               Complete the square inside the brackets.

Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done  is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.

Max = -(x - 22)^2 + 484

The maximum occurs when x = 22. That's because - (x - 22) becomes 0.

If it is not zero it will be minus and that will subtract from 484

x + y = 44

xy = 484

When you solve this, you find that x = y = 22 If you need more detail, let me know.


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