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3 years ago

Half angle tan 5pi/8

1 answer:

4 0

The half-angle formula for tangent is:

tan(a/2) = (sin a / (1 + cos a)) = ((1 - cos a) / sin a)

Now we can plug in values:

tan(5π/8) = (sin(5π/4) / (1 + cos(5π/4)) = ((1 - cos(5π/4)) / sin(5π/4)

tan(5π/8) = (-√2/2) / (1 + (-√2/2)) = (1 - (-√2/2)) / (-√2/2)

tan(5π/8) = ((-√2/2)) / ((2 - √2)/2) = ((2 + √2)/2) / (-√2/2)

Now we can solve the first half:

(-√2/2)(2 / (2 - √2))
(-√2/2)((4 + 2√2) / 2)
(-√2/2)(2 + √2)
(-2√2 - 2)/2
-√2 - 1

tan(5pi/8) = -√2 - 1

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Directions: The marketing research department at the Fresno Mall plans to survey teenagers about a newly developed soft drink. E

emmainna [20.7K]

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

Read more about probability at

brainly.com/question/251701

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1 year ago

8÷2(2+2)<br>what is the anwer<br>

Colt1911 [192]

Answer:

Step-by-step explanation:

8/2(4)

8/8

4 0

3 years ago

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the

devlian [24]

Answer:

The rocket will reach its maximum height after 6.13 seconds

Step-by-step explanation:

To find the time of the maximum height of the rocket differentiate the equation of the height with respect to the time and then equate the differentiation by 0 to find the time of the maximum height

∵ y is the height of the rocket after launch, x seconds

∵ y = -16x² + 196x + 126

- Differentiate y with respect to x

∴ y' = -16(2)x + 196

∴ y' = -32x + 196

- Equate y' by 0

∴ 0 = -32x + 196

- Add 32x to both sides

∴ 32x = 196

- Divide both sides by 32

∴ x = 6.125 seconds

- Round it to the nearest hundredth

∴ x = 6.13 seconds

∴ The rocket will reach its maximum height after 6.13 seconds

There is another solution you can find the vertex point (h , k) of the graph of the quadratic equation y = ax² + bx + c, where h = $-\frac{b}{2a}$ and k is the value of y at x = h and k is the maximum/minimum value

∵ a = -16 , b = 196

∴ $h=-\frac{196}{2(-16)}$

∴ h = 6.125

∵ h is the value of x at the maximum height

∴ x = 6.125 seconds

- Round it to the nearest hundredth

∴ x = 6.13 seconds

4 0

3 years ago

In cos(0.3), what unit would 0.3 be? Is it radians? Also if you were to solve it, would the answer be in radians as well? Please

neonofarm [45]

Answer:

Step-by-step explanation:

7 0

3 years ago

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To check the correctness of the answer to a multiplication example, divide the

zubka84 [21]

Multiplicand is the number that gets multiplied, multiplier is the number that you are multiplying by, product is the result of mulptiplication multiplicand by multiplier.

Let a be a multiplicand, b be a multiplier and c be a product, then

a·b=c.

To check the correctness of the answer to a multiplication example, you should divide the product c by the multiplier b:

c÷b=a.

Answer: correct choice is A.

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3 years ago

Read 2 more answers