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2 years ago

Area of a semicircle is 308cm. Find the perimeter

Mathematics

1 answer:

fgiga [73]2 years ago

3 0

Answer:

72 cm

Step-by-step explanation:

Find the radius using the given information

308=1/2(πr^2)

r^2=616/π

r=14

The perimeter is πr + 2r so plug in 14

π(14) + 2(14)

43.96+28=71.96

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(show the supposition, proof and conclusion)

larisa86 [58]

Answer:

Step-by-step explanation:

We are given that a and b are rational numbers where $b\neq0$ and x is irrational number .

We have to prove a+bx is irrational number by contradiction.

Supposition:let a+bx is a rational number then it can be written in $\frac{p}{q}$ form

$a+bx=\frac{p}{q}$ where $q\neq0$ where p and q are integers.

Proof: $a+bx=\frac{p}{q}$

After dividing p and q by common factor except 1 then we get

$a+bx=\frac{r}{s}$

r and s are coprime therefore, there is no common factor of r and s except 1.

$a+bx=\frac{r}{s}$ where r and s are integers.

$bx=\frac{r}{s}-a$

$x=\frac{\frac{r}{s}-a}{b}$

When we subtract one rational from other rational number then we get again a rational number and we divide one rational by other rational number then we get quotient number which is also rational.

Therefore, the number on the right hand of equal to is rational number but x is a irrational number .A rational number is not equal to an irrational number .Therefore, it is contradict by taking a+bx is a rational number .Hence, a+bx is an irrational number.

Conclusion: a+bx is an irrational number.

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The experiment is the development of a new soft drink

A possible outcome is "Prefer this new drink"
A possible event is "The event that 5 of 10 teenagers prefer this new drink to their favourite drink"
A new survey is about children vaccination

<h3>The experiment</h3>

From the question, we understand that:

The Fresno Mall plans to survey teenagers about a newly developed soft drink

This implies that the experiment is the survey of teenagers for a new soft drink

<h3>A possible outcome</h3>

Also from the question, we have:

The teens will be asked to compare it with their favourite soft drink

In terms of preference, one outcome could be "Prefer this new drink"

<h3>A possible event</h3>

Also from the question, we have:

The teens will be asked to compare it with their favourite soft drink

In terms of preference, one event could be "The event that 5 of 10 teenagers prefer this new drink to their favourite drink"

<h3>A new survey</h3>

Using the question as a guide, a survey could be:

<em>In a survey of 500 randomly selected adults, 68% of the respondents think that the government should require parents to have their children vaccinated.</em>

Here, we have:

Experiment: Children vaccination
Outcome: Outcome that a parent supports parent should have their children vaccinated
Event: Event that 5 of 10 individuals think that the government should require parents to have their children vaccinated

<h3>Importance of probability</h3>

Probabilities, in this scenario are used to determine the proportions of outcomes, events and it is used to make informed decisions