MARKING BRAINLYEST IF ANSWERED UNDER 10 MINUTESThe difference in length of a spring on a pogo stick from its non-compressed length when a teenager is jumping on it after seconds can be described by the function f of theta equals 2 times sine theta plus radical 2 periodPart A: Determine all values where the pogo stick's spring will be equal to its non-compressed length. (5 points)Part B: If the angle was doubled, that is became 2, what are the solutions in the interval [0, 2)? How do these compare to the original function? (5 points)Part C: A toddler is jumping on another pogo stick whose length of its spring can be represented by the function g of theta equals 1 minus cosine squared theta plus radical 2 period At what times are the springs from the original pogo stick and the toddler's pogo stick lengths equal? (5 points)

Part A=kWhere k is an integer k=0,1,2..Part B=[tex]k\frac{\pi }{2}[/tex]Where k is an integer k=0,1,2..Part C=kWhere k is an integer k=0,1,2..What is trigonometric function?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengthsPart AGiven that,f(x)=2sin+[tex]\sqrt{2}[/tex]Non compressed length = [tex]\sqrt{2}[/tex]Then2sin+[tex]\sqrt{2}[/tex]=[tex]\sqrt{2}[/tex]2sin=0sin=0Therefore is the integer multiple of =kWhere k is an integer k=0,1,2..Part BHere angle is doubledThen,2sin2+[tex]\sqrt{2}[/tex]=[tex]\sqrt{2}[/tex]2sin2=0sin2=0Here will be the integer multiple of [tex]\frac{\pi }{2}[/tex]=[tex]k\frac{\pi }{2}[/tex]Where k is an integer k=0,1,2..Part Cg(x)=1-[tex]cos^{2}[/tex]+[tex]\sqrt{2}[/tex]Here f(x)=g(x)2sin+[tex]\sqrt{2}[/tex]=1-[tex]cos^{2}[/tex]+[tex]\sqrt{2}[/tex]2sin=1-[tex]cos^{2}[/tex]we know that [tex]1-cos^{2}[/tex]=[tex]sin^{2}[/tex]2sin=[tex]sin^{2}[/tex]sin=0Therefore is the integer multiple of =kWhere k is an integer k=0,1,2..Hence, we have solved thatPart A=kWhere k is an integer k=0,1,2.. Part B=[tex]k\frac{\pi }{2}[/tex]Where k is an integer k=0,1,2..Part C=kWhere k is an integer k=0,1,2..Learn more about Trigonometric functions herehttps://brainly.com/question/10731141#SPJ2

Mathematics Middle School

MARKING BRAINLYEST IF ANSWERED UNDER 10 MINUTES

The difference in length of a spring on a pogo stick from its non-compressed length when a teenager is jumping on it after θ seconds can be described by the function f of theta equals 2 times sine theta plus radical 2 period

Part A: Determine all values where the pogo stick's spring will be equal to its non-compressed length. (5 points)

Part B: If the angle was doubled, that is θ became 2θ, what are the solutions in the interval [0, 2π)? How do these compare to the original function? (5 points)

Part C: A toddler is jumping on another pogo stick whose length of its spring can be represented by the function g of theta equals 1 minus cosine squared theta plus radical 2 period At what times are the springs from the original pogo stick and the toddler's pogo stick lengths equal? (5 points)

Answers

Answer 1

Answer:

Step-by-step explanation:

So,0= the lengths of springs from the original pogo stick and the toddler's pogo stick are equal.

Hence, the values for different conditions were calculated with the help of trigonometric functions.

Answer 2

Part A

θ=kπ

Where k is an integer k=0,1,2..

Part B

θ=[tex]k\frac{\pi }{2}[/tex]

Where k is an integer k=0,1,2..

Part C

θ=kπ

Where k is an integer k=0,1,2..

What is trigonometric function?

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths

Part A

Given that,

f(x)=2sinθ+[tex]\sqrt{2}[/tex]

Non compressed length = [tex]\sqrt{2}[/tex]

Then

2sinθ+[tex]\sqrt{2}[/tex]=[tex]\sqrt{2}[/tex]

2sinθ=0

sinθ=0

Therefore θ is the integer multiple of π

θ=kπ

Where k is an integer k=0,1,2..

Part B

Here angle is doubled

Then,

2sin2θ+[tex]\sqrt{2}[/tex]=[tex]\sqrt{2}[/tex]

2sin2θ=0

sin2θ=0

Here θ will be the integer multiple of [tex]\frac{\pi }{2}[/tex]

θ=[tex]k\frac{\pi }{2}[/tex]

Where k is an integer k=0,1,2..

Part C

g(x)=1-[tex]cos^{2}[/tex]θ+[tex]\sqrt{2}[/tex]

Here

f(x)=g(x)

2sinθ+[tex]\sqrt{2}[/tex]=1-[tex]cos^{2}[/tex]θ+[tex]\sqrt{2}[/tex]

2sinθ=1-[tex]cos^{2}[/tex]θ

we know that [tex]1-cos^{2}[/tex]θ=[tex]sin^{2}[/tex]θ

2sinθ=[tex]sin^{2}[/tex]θ

sinθ=0

Therefore θ is the integer multiple of π

θ=kπ

Where k is an integer k=0,1,2..

Hence, we have solved that

Part A

θ=kπ

Where k is an integer k=0,1,2..

Part B

θ=[tex]k\frac{\pi }{2}[/tex]

Where k is an integer k=0,1,2..

Part C

θ=kπ

Where k is an integer k=0,1,2..

Learn more about Trigonometric functions here

https://brainly.com/question/10731141

#SPJ2

Related Questions

can u help please? i don't understand this

Answers

Answer:

Step-by-step explanation:

To do this you need to simplify (4^3)^5

To do this, simply multiply the powers

So, it would be 3x5

3x5=15

so the answer would be 4^15, which is D

Answer:

4^15

Step-by-step explanation:

( 4^3 )^5

Formula : -

( a^m )^n = a^(mn)

Here,

a = 4

m = 3

n = 5

( 4^3 )^5

= 4^( 3*5 )

= 4^15

I like risking my points for hard homework

Answers

Answer:

The triangle and the square have the same area because they both have four squares

Step-by-step explanation:

The square has four that are easily shown but the triangle has one full one but when two are split together like some of them when you put the two together they equal one whole.

Have a wonderful day/night/afternoon

it’s the same the triangle has a length of two and a height of 4 so it’s 8. but that would be a square so we divide the 8 by 2 and it’s 4. and the square in the right is also 4

A tent has a triangular shaped net over the door. Jelena needs to sew a new net for the door. What is the minimum amount of material needed if the triangle has a height of 52 inches and a base of 60 inches?

1560 square inches

112.5 square inches

3120 square inches

112 square inches

Answers

Answer:

3120 square inches

Step-by-step explanation:

Answer:

1560 square inches

Step-by-step explanation:

52*60/2

Height*Length/2

1560 square inches

How do I solve this fraction 2/5×5/9?

Answers

You times the numbers across 10/45

Answer:

2/5 x 5/9 = 10/45

Simplified: 2/9

Good Luck! I hope this helps! :)

If It's CORRECT I will give BRAINLIEST!!!!!

Answers

Answer:

Im pretty sure its C... Step-by-step explanation: what im seeing here is 10 with the small numbers in front so it looks like scientific notation, Maria has 1 million because 1 x a number = that number, 10 multiplied by itself 6 times equals 1 million, 10 x10 = 100 x 10 = 1000 x 10 = 10,000 x 10 = 100,000 x 10 = 1,000,000. so from this we know what Larry's 10 to the power of 5 is, we need to know what 100,000 x whatever equals. If im doing this right, Larry's number is 1 million 2 hundred thousand which is greater than 1 million. (sorry if the explanation is wanky and sorry if it was wrong, im new to brainly.)

Charisma is getting a gumball out of the gumball machine. There are 24 red gumballs, 20 blue gumballs, 14 yellow gumballs, 17 purple gumballs, and 15 white gumballs in the machine. What is the probability that Charisma gets a gumball that is not yellow?

Answers

Answer:

38:45

Step-by-step explanation:

First, add them all together. This is 90. Next, subtract 14. This is 76. Now simplify. I could only simplify down to 38:45

Hope this helps:)

77/91 is the answer as a fraction i’m not sure about a percentage

match these equations balncing steps with the discription of what was done in each step

Answers

Answer:

CAB

Step-by-step explanation:

12x - 6 = 10

divide both sides by 2

6x - 3 = 5

add 3 to both sides

6x = 8

multiply both sides by 1/6

x = 4/3

I don't know how you want to write the answer but this is how you get each equation :/

Answer:

CAB

Step-by-step explanation:

Which net below forms a rectangular prism?

Answers

I think that it is a.

it’s A. it can be folded to form a rectangular prism

can some one please help me?

Answers

Answer:

here's a tip: (use the equation to get the triangle area/length, then find the surface area of the entire thing). Anyways, I think the answer might be ether 268m squared or 853m squared.

Step-by-step explanation:

Hope this helps you!

Answer:

402.62

Step-by-step explanation:

4*22=88

7.21*22=158.62

6*22=132

2((6*4)/2)=24

add them all up=402.62

Warm-Up
Select all the expressions that are equivalent to [tex]3x-4+2x-6[/tex]

Answers

It should be 5x-10 but it’s very mysterious

5x-10. Hope this helps!

Dean and his friends went to Aqua World Water Park, where they floated down the Lazy River for 1 2 of an hour. This was 1 4 of the total time Dean and his friends spent at Aqua World. Use an equation to find the total amount of time Dean and his friends spent at the park. To write a fraction, use a slash ( / ) to separate the numerator and denominator.

Answers

1/2 of an hour is 30 minutes
That’s 1/4 of the total amount of time they spent in the park
So, 30 minutes x 4 would be 120 minutes or 2 hours which means they spent 2 hours at the water park

∆ABC ˜∆EFG – Why is the notation written in a specific order?

Answers

Answer:because it shows how the shape on the right is the same as the one on the left, just after being enlarged

Step-by-step explanation:

Please help! simplify the expression:

Answers

-20a-28 I believe is the answer!
You first distribute 7 into -2a-4, which gets -6a-14a-28. You then combine like terms -6a and -14a, to get -20a-28 which you cannot combine anymore!
Hopefully that’s correct :3

The answer is 3 the guy above me shows how to do it

Did I do this right?
If not can you tell me what I did wrong?
And please hurry, I need to get this done

Answers

Answer: I’m sorry I can’t help. There is not a picture attached.

Step-by-step explanation:

(1d) Instructions for a craft project say that the length of a piece of red ribbon should be 7 inches less than the length of a piece of blue ribbon. How long is the BLUE ribbon if the length of the RED ribbon is 12 inches? *

Answers

Answer:

19 inches

Step-by-step explanation:

Since the blue ribbon needs to be 7 inches longer than the red ribbon, add 7 to 12 to get 19 inches total.

Hopefully this helps- let me know if you have any questions!

Hey there!

Let's make an equation 28evbar01

=> Convert word problem into equation

7 - x = 12

x = 12 + 7

x = 19

Therefore, Blue ribbon is 19 inches

hope this helps

please mark me brainiest

can someone please help me

Answers

Answer:

Step-by-step explanation:

Two ways we can solve this problem:

1. Graphically

2. Mathematically

Because you already solved it graphically, I will show you how to do so mathematically. Of course, graphically is much much easier and more efficient in this problem.

Let's break the problem down.

First, we are given a graph which contains a slope.

To find slope, we use the technique -> rise/run

Picking 2 obvious points from the graph, we can see

1st point -> (10, 20)

2nd point -> (40, 80)

Now, let's find the slope

[tex]\frac{80-20}{40-10} = \frac{60}{30} = 2[/tex]

Now, we have an equation y = 2x, where y = number of pies and x = cups of sugar

We want to find how many cups of sugar we need to bake 80 pies. Simply substitute 80 = number of pies = y

y = 2x -> 80 = 2x

Solving for x, divide both sides by 2

40 = x

We need 40 cups of sugar.

brainliest if it is right

Answers

Answer:

Step-by-step explanation:

1.) D has the largest circumference, because it’s diameter is the largest with 100 inches.
2.) B has the smallest circumference because it has a diameter of 20 inches.

I think these are right, I solved for the circumference to be sure.

Solved = a) 301 b) 62 c) 75 d) 314

Sofia's family took a road trip to Mount Rushmore. Sofia slept through the last 65% of the trip. If the total length of the trip was 840 miles, how many miles had they travelled when Sofia fell asleep?

Answers

Answer:

546

Step-by-step explanation:

Sofia slept 546 miles and was awake for 45% which is 294 of the miles.

You can find this by finding 1%, and that would be 8.4. (You get 1% from dividing 100 from the 100% number.) Then you multiply it by 65 so now you get 546.

If the total length of the trip was 840 miles, then Sofia had traveled 294 miles before she fell asleep.

Given that,

If Sofia slept through the last 65% of the trip and the total length of the trip was 840 miles,

then she stayed awake for the first 100% - 65% = 35% of the trip.

Here, we have to calculate the distance she traveled before falling asleep, we can use the percentage of the total distance:

Distance traveled by Sofia = 35% of 840 miles

Distance traveled by Sofia = 0.35 * 840

Distance traveled by Sofia = 294 miles

So, Sofia had traveled 294 miles before she fell asleep.

To learn more on percentage click:

brainly.com/question/13450942

#SPJ3

can someone please help me and explain

Answers

Answer:

160

Step-by-step explanation:

Area of base x height

Area of base= 15x3=45

45 x height= 45 x 4

45 x 4= 180

This is the answer 45x4=180

Jackie has a circular shaped table. She wants to paint the circular top. If the radius of the circle is 3 feet, what is the area of the table top?

18.84 square feet

28.26 square feet

56.52 square feet

9.42 square feet

Answers

area of circle :- π r²

[tex] \frac{22}{7} \times 3 \times 3 \: ft {}^{2} \\ \frac{22}{7} \times 9 {ft}^{2} \\ \frac{198}{7} = 28.26 {ft}^{2} [/tex]

Answer:

Step-by-step explanation:

The formula (i believe) is:

A = 2r[tex]\pi[/tex]

A = 2(3)(3.14)

A = (6)(3.14)

A = 18.84

The answer i got is 18.84

hope this helps :)

Jonathan and Shaneeka both get paid an equal hourly wage of $12 per hour. This week, Jonathan earned an additional $54 as a bonus. To calculate the total earnings for both Jonathan and Shaneeka, 4 expressions are written in which J represents the number of hours Jonathan worked, and S represents the number of hours Shaneeka worked.

Which expression is not correct?

A. Expression 1

B. Expression 2

C. Expression 3

D. Expression 4

Answers

Answer is c because both are working $12 and hour so 12s and 12j then j gets $54 extra so 54j

An online pet store offers the hamster house shown in the figure below.
Choose all of the expressions that could be used to find the volume of the hamster house.

Answers

I think C but I’m not for sure sorry

Hello, Again i need help again

Answers

Answer : = -16

hope it helped! :)

Felix and Julyssa are computing 3 + 4 x 4. Feliz says the answer is 28. Julyssa says the answer is 19. Who is right? Explain.

Answers

Answer: Julyssa is right

Step-by-step explanation: According to PEMDAS, multiplication goes first (before) addition so

3 + (4x4)

3 + 16

= 19

PEMDAS

PARENTHESES

EXPONENTS

MULTIPLICATION

DIVISION

ADDITION

SUBTRACTION

Julyssa is right.
We know this because in bidmas, multiplication comes first, so 4 x 4 is done first.
So 4 x 4 = 16
And 16 + 3 = 19

A bag contains tiles of different colors. Roshan randomly selects a tile from the bag and returns the tile to the bag after recording the color. He picks a green tile 6 times, a red tile 20 times, a blue tile 7 times, a purple tile 8 times, and a black tile 4 times. Based on the results, what is the theoretical probability that the next tile Roshan picks will be green?

Answers

Answer:

6/41

Step-by-step explanation:

6 + 7 + 20 + 8 = 41 so that is number of tiles he took. 6 of those were 41 so therefore, the chance is 6/41

Answer:

There are four red marbles and six blue marbles in all, for a total of ten marbles.

Without replacement, the probability of the first marble being blue is 6/10, while the probability of the second marble being red is 4/9.

The probability of both events occurring is reduced to 4/15 by multiplying 6/10 * 4/9 = 24/90.

Step-by-step explanation:

Mark me brainliest

Sandra bought 4 pounds of sweet potatoes for $5.36. What is the cost per pound of
the sweet potatoes?
A. $0.75
B. $1.34
C. $1.26
D. $9.36

Answers

The answer is b because if you multiply 1.34 times 4 that would get you 5.36

Answer:

B. $1.34

Step-by-step explanation:

5.36 ÷ 4

=536×1/4×1/100

=536/400

=1.34

Please help with these questions, I need help and please be quick!

(Image attached)

Answers

Answer:

hee-hee!

Step-by-step explanation:

We know that the circles diameter is 15 mm. We can tell that by looking at the side of the rectangle. It says 15 mm.

Either way, we use the formula to find the area of a circle:

A = [tex]\pi[/tex]d

A = (3.14)(15)

A = 47.1

The area of the circle is 47.1. (i think?)

sowwy if it took long

Answer:

426.45 mm

Step-by-step explanation:

find the area of the circle by multiplying the radius by pi(3.14) then you would subtract that from the area of the rectangle. Hope this helps

Find the area of the blue shaded region in the figure.
A) 80 cm2
B) 112 cm2
C) 120 cm2
D) 160 cm2
Ayuda Por Favor
Help Please

Answers

Answer:

160cm^2

The area of the rectangle minus the area of the right angled triangle (20×10-8×10÷2)

160cm^2 I did this earlier

giving brainliest!!!!!

Answers

Answer:

5.(4,6) 6. (2,9) 7. (0,4)

1-4 i dont know

1. The x axis is the horizontal line
2. The y axis is the vertical line.
4. 1,5 is the first square… 4,6 is the second.. and 5,1 is the third

which inequality does this graph show?

Answers

Answer:

y ≤ 0

Step-by-step explanation:

y ≤ 0

< or >: dashed line

≤ or ≥: solid line

≤ or <: shade below the line

≥ or >: shade above the line

Here we have:

a solid like (possibilities: ≤ or ≥)

shades below the line (≤)

Final answer, y ≤ 0

Hope this helps!

Answer:

The inequality is D) y is less than or equal to 0

Step-by-step explanation:

The yellow shaded area is on the 0 line and below it, making it less than or equal to 0.

-I hope this helps!

Other Questions

how was power distributed in ancient india? Help picture below problem 11 Find the sum or product two different ways. 5+6+7+8 Which circuit illustration represents circuit B? |x-b|=c, only one solution is -3 In the US, about 41% of the energy we produce ends up wasted.TrueFalse Which statement best compares the two headlines? headline 1 is biased, but headline 2 is objective. headline 1 has a neutral tone, but headline 2 is negative. headlines 1 and 2 both use emotional, subjective language. headlines 1 and 2 both use clear, objective language. Determine the ratio of the note B to middle C.a. 1.8877b. 1.7983C. 1.9348d. 1.3654 Help picture below problem 15 Reflect the shape A in the line x=1What are the coordinates of the vertices of the image?anyone who is amazing at maths please help!!!!!!!!!!!!!!!!!!!!i am running out of time Regularly scheduled meetings are always necessary. Please select the best answer from the choices provided T F. What is the refusal to buy something called? A rectangular field is 120 meters long and 85 meters wide.Give the length and width of another rectangular field that has the same perimeter but a smaller area. FM (Isang istasyon lamang)(Filipino subject) What caused relations between the united states and the soviet union to begin to change in the early 1980s? select two answers. jimmy carter became president. leonid brezhnev died. the soviet union invaded afghanistan. ronald reagan became president. the united states withdrew from vietnam. richard nixon resigned as president. What enables humans to "see" light in the infrared range of the electromagnetic spectrum?RF technologyUV convertermicrowave sensornight-vision goggles 2/5 10+36-6 ................... HELP PLEASE Given a circle with a radius of 7 inches and a central angle of 140, find the area of the sector. What made a knight most valuable to a lord? Suppose object A has double the specific heat and triple the mass of object B. If the same amount of heat is applied to both objects, how will the temperature change of A be related to the temperature change of B? Enter your answer to three significant figures.