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3 years ago

HELLO!!! Please tell me that somebody knows how to do this. I don’t have a clue. Thank you so much❤️❤️❤️

Mathematics

1 answer:

xenn [34]3 years ago

3 0

For question one, the easiest way to start is with t=0, so, everything inside the sine function will equal 0, and sin(0) is 0, so that is our starting point. Then, consider the following:

sin(pi/2) = 1

sin(pi) = 0

sin(3pi/2) = -1

sin(2pi) = 0

(You need to know the unit circle)

Then, we see that t=4 is a solution since the 4 times a half is 2, exactly what we need for 2 (pi). Also because it goes around the unit circle.

Problem 2 you just need the period formula. It is [2pi / b] and b is the number in front of t. So we get (2pi / (2pi / 15)). Simplifying leads to 30pi over 2pi which is just 15. Thus the period is 15 units

Lastly, Problem 3 asks for the inverse of a period since the frequency is 1 over the period. Applying the method from the last problem:

2pi / 524pi which simplifies to 1 over 262 is the period.

Now flipping 1 over 262 gives the frequency, which is just 262 by itself

Hope this long explanation helped

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Can some show the steps and the answer please I really need help tell me how you get it and the answer

Lana71 [14]

Answer:

Step-by-step explanation:

so this is about triangles.. sooo the following is a bit of helpful reminders that I keep on my computer to help me remember how to fit the trig functions to triangles.. I strongly suggest you copy it and keep it where you can look at it often.

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

I use this anytime I run into triangles or need some help with sin or cos

now the problem , 3 ladder 10, 12, & 15 feet. Alex wants to get to 8 feet.

the problems is also telling you that you can use t..... and then , the words are cut off.. but I know they were going to say Tan ... next.. :P

b/c Tan is how you figure out problems with the adjacent side and the opposite side. like this problem. Look at TOA above. use that to recall how the parts fit in the formula

Tan(∅) = Opp / Adj

they give us the Opp side of 8 feet in the problem

then they also tell us the Hyp of the triangle which is each of the ladders length. Then they ask us what is the Adj sides length?

So we also need to solve the triangle with the know hyp (ladder length).. uggg, this problem is long. Then we can solve the dist. from the wall or Adj side length.

it's two steps, if you want to think of it that way. You're supposed to be pretty confident with trig functions. I'm guessing this is a trig class.. right?

let's solve for the 3 different angles that the ladders make , each going to 8 feel. Obviously, nobody would really do this with a ladder they would just lean it against the wall . and if it's taller than where they want to climb, they would just go up part way. so anyway, find the 3 different angles.

look above to see which formula to use.

I like SOH b/c it seems to have all the pieces of the triangle we want to work with.

ladder 1 ( 10')

Sin(∅) = Opp / Hyp

Sin(∅) = 8 / 10

∅ = arcSin (4/5)

[ first, yes, I just reduced the fraction, then I did the arcSin on both sides, I think you might know how to do that already ? ]

∅ = 53.13010 °

( yes, I used my calculator to find that, calculators are okay to use when figuring out non standard angles )

ladder 2 (12')

Sin(∅) = 8/12

∅ = arcSin (2/3)

∅ = 41.81031°

ladder 3 (15')

Sin(∅) = 8/15

∅ = arcSin (8/15)

∅ = 32.230952°

now use our Tan function to find the Adjacent side which is the distance from the wall

Tan(∅)= Opp / Adj

Adj = Opp / Tan(∅)

( I did some quick algebra to move the side we want to solve for, now plug and chug all 3 angles )

ladder 1

Adj = 8 / Tan(53.13010)

Adj = 6.0000005

ladder 2

Adj = 8 / Tan(41.81031)

Adj = 8.94427

ladder 3

Adj = 8 / Tan(32.230952)

Adj = 12.688577

so the 10' ladder is 6 feet from the wall

the 12' ladder is 8.9 feet from the wall

the 15 foot ladder is 12.7 feet from the wall.

I really don't think that 15' ladder is going to stay on the wall.. if Alex climbs it... it's way way too far out... it will just fall straight down the wall :/ Maybe another math problem for the forces involved :P

5 0

2 years ago

the derivative of the function f is given by f'(x)=x^2cos(x^2). How many points of inflection does the graph of f have on the op

Vsevolod [243]

The point of inflection is calculated by equating the second derivative to zero and determining x from there.

f"(x) = -x²2xsinx² + cosx²(2x) = 0

2xcosx² - 2x³sinx² = 0
2x (cosx² - xsinx²) = 0

2x = 0 ⇒ x = 0
cosx² - xsinx² = 0 ⇒ x = 3.82 (if you use shift+solve in your scientific calculator)

Thus, the function only has 1 point of inflection and it is at x = 0.

5 0

3 years ago

Mark studied a group of 30 whales. If each will wait approximately 3.8×10 to the fifth power, pounds find the total weight of al

natta225 [31]

Answer:

11.4 x 10 ^ 6

Step-by-step explanation:

First, you have to convert 3.8 x 10^5 out of scientific notation. To do that, multiply 3.8 * 10^5, you'll get 380,000. This is the weight of each whale.
Now multiply the weight of each whale times 30. 380,000 * 30 = 11,400,000
Convert back to scientific notation. 11.4 x 10^6

7 0

3 years ago

Watching the weather channel, you can see the probability of it raining tomorrow. drag the term to the corresponding probability

azamat

Answer:

Probability:

1. probability of rain < 1/2 -------- Unlikely

2. probability of rain = 0 -------- Impossible

3. probability of rain = 1 -------- Certain

4. probability of rain > 1/2 --------- Likely

Step-by-step explanation:

Given -

Terms:

• impossible

• likely

• unlikely

• certain

Probability:

1. probability of rain < 1/2

2. probability of rain = 0

3. probability of rain = 1

4. probability of rain > 1/2

To find - Watching the weather channel, you can see the probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow.

Proof -

Probability:

1. probability of rain < 1/2 -------- Unlikely

2. probability of rain = 0 -------- Impossible

3. probability of rain = 1 -------- Certain

4. probability of rain > 1/2 --------- Likely

Reason -

Probability is the chance that an event will occur. Weather predictions are based on probability.

The probability of an event occurring is represented by a ratio.

A ratio is a number that is between 0 and 1 and can include 0 and 1.

An event is impossible if it has a probability of 0.

Having 13 months in a year has the probability of 0.

An event is certain if it has the probability of 1.

The probability that the sun will rise tomorrow morning is 1

8 0

2 years ago

Carole has $53.95 and washes cars for $8 each. Carole wants to attend a musical that costs $145.75.

yawa3891 [41]

Answer:

53.95+8x ≥145.75

Carole needs to wash at leas 12 cars

Step-by-step explanation:

A. 53.95+8x ≥145.75

subtract 53.95

8x ≥91.8

divide by 8

x ≥11.475

round

Carole needs to wash at leas 12 cars

b. what is the solution?

6 0

2 years ago

Read 2 more answers