What is the period of rotation of the wheel for which the height of a rider (in feet) above the ground after riding the wheel for t seconds dunce passing the farthest right position on the wheel given by h(t)=60+45 sin (30t)?

Answers

Answer 1

According to the given sine function, it is found that the period of rotation is of 0.21 seconds.

What is the period of a sine function?

Suppose a sine function modeled by:

[tex]y = A\sin{[B(x + c)]}[/tex]

The period is given by:

[tex]P = \frac{2\pi}{B}[/tex].

In this problem, the function is:

h(t)=60+45 sin (30t).

The vertical shift and the amplitude do not interfer in the period, hence B = 30 and:

[tex]P = \frac{2\pi}{30} = 0.21[/tex]

The period of rotation is of 0.21 seconds.

More can be learned about the period of a sine function at https://brainly.com/question/16818112


Related Questions

You send an email with a file size of 4 kilobytes. one kilobyte is 2-0 bytes. what is the file size of your email in bytes? write your answer as a power.

Answers

The file size sent in kilobytes was converted to bytes, the 4 kilobytes is equivalent to 80 bytes

Unit Conversion

Given Data

File Size = 4 kilobytes

We are told that 1 kilobytes = is equivalent to 20 bytes

hence 4 kilobytes will be equivalent to x bytes

cross multiplying we have

4*20 = x

x = 80 bytes

Therefore, the file size is 80 bytes

Learn more about unit conversion here:

https://brainly.com/question/13016491

Rosa has a garden in the shape of a parallelogram she says she can find the perimeter of her garden by adding the two sides and doubling the sum is rosa correct

Answers

Rosa is correct. The perimeter of a parallelogram can be determined by  adding the two sides and doubling the sum.

What is a paralleogram?

A  parallelogram is a quadrilateral (a four-sided object) that is made up of parallel sides. Theopposite sides and angles are congruent .

The perimeter of the parallelogram is the distance round the shape. It is the sum of the four sides.

To learn more about the perimeter, please check: https://brainly.com/question/3205029

someone help me please

Answers

Answer:

The answer is 40^1/2

Step-by-step explanation:

The square root's value is - 1/2

so  √4 = 4^1/2

A small bottle of shampoo can hold 35 milliliters of shampoo, whereas a large bottle can hold 500 milliliters of shampoo. Jasmine wants to buy the minimum number of small bottles necessary to completely fill a large bottle. How many bottles must she buy

Answers

Answer:

15

Step-by-step explanation:

500/35 approx 14.28

Always round up otherwise there won’t be enough

14.28 rounded up = 15


Kareem rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 91 cents for each mile driven. Kareem had to pay
$206.36 when he returned the truck. For how many miles did he drive the truck?

Answers

The answer is d I did it in edinuity and got it right

pls help me dont bot me

Answers

Answer:

c

Step-by-step explanation:

What type of triangle is this?

Answers

We can classify triangles by their angles and their side lengths.

ANGLES:

---Acute = all angles in the triangle are less than 90 degrees

---Right = one angle in the triangle is equal to 90 degrees

---Obtuse = one angle in the triangle is greater than 90 degrees

SIDE LENGTHS:

---Equilateral = all side lengths of the triangle are the same

---Isosceles = two side lengths of the triangle are the same

---Scalene = no side lengths of the triangle are the same

In the given triangle, it has a right angle, which means that it must be a right triangle. Looking at the side lengths, none of them are the same (presumably), so it is also a scalene triangle.

Answer: right, scalene

Hope this helps!

3 pounds to 18 ounces

Answers

Answer:

divide the pounds to get 18 ounces

Step-by-step explanation:

i think?

story with these 5 letters comprehend, collect, compare, community, college asap

Answers

In the word document :)

what geometric figure have 5-12 sides

Answers

A dodecagon is a twelve-sided polygon that's equally spaced around a circle and with all sides, the same length.

(18 POINTS) PLEASE ANSWER CORRECTLY :)

Write SSS, SAS, ASA, and AAS Congruence if they are congruent.​

Answers

Step-by-step explanation:

16

SSS

17

SAS

18

SSS

19

AAS

20

ASA

Bilquis is trying to find the height of a radio antenna on the roof of a local building. She stands at a horizontal distance of 29 meters from the building. The angle of elevation from her eyes to the roof ((point AA)) is 17∘
, and the angle of elevation from her eyes to the top of the antenna ((point BB)) is 31∘
. If her eyes are 1.51 meters from the ground, find the height of the antenna ((the distance from point AA to point BB)). Round your answer to the nearest meter if necessary.

Answers

Using relations in a right triangle, it is found that the height of the antenna is of 10 m.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

In this problem, the vertical height from her eyes to the top of the antenna is the side opposite to the angle of 17º, while the adjacent side is the horizontal distance of 29 m, hence:

[tex]\tan{17^\circ} = \frac{h}{29}[/tex]

[tex]h = 29\tan{17^\circ}[/tex]

[tex]h = 8.87[/tex]

Adding the eye height:

h = 8.87 + 1.51 = 10.38 m.

Rounding to the nearest meter, the height of the antenna is of 10 m.

More can be learned about relations in a right triangle at https://brainly.com/question/26396675

Answer:

9

Step-by-step explanation:

I just took the test.

please fund the area

Answers

Answer:

48 sq m

Step-by-step explanation:

Given quadrilateral is a parallelogram.

Here,

Base = 8 m

Height = 6 m

Area of parallelogram = Base * Height

-> Area = 8 * 6 = 48 sq m

Find the perimeter of composite figures

Answers

Answer: 15 ft

Step-by-step explanation:

You basically add all the sides:

3 + 3 + 3 + 3 +3 = 15 ft

And if you have to add 12 ft then the answer should be 27 ft in total.

I hope this helped!

can y’all help me answer question 4 pleas e

Answers

Answer:

b = a + 13

Step-by-step explanation:

bc 1 + 13 = 14

Hope this helps !

HELP PLEASE?!!
Taking post test: exponential and logarithmic functions

Answers

Answer:

k = 2

Step-by-step explanation:

f(2) = 1
g(2) = 2

g(x) is double of f(x)

Find the product


231 × 56 =

Say it in the comments because I cannot have access to the answer box looking. Thanks!

Answers

Answer:

12,936

I hope this Answer your question

Find the inverse of the function
f (x) = -8x + 9

Answers

Answer:

[tex]y=\frac{x-9}{-8}[/tex]

Step-by-step explanation:

1. change f(x) to y

2. switch x and y

[tex]x= -8y+9[/tex]

3. solve for y

[tex]x-9=-8y[/tex]

[tex]y= \frac{x-9}{-8}[/tex]

Answer: y = (9-x) / 8

Step-by-step explanation:

set f(x) = y

y = -8x + 9

to find inverse repalce all y values with x and x values with y then solve for y again

x = -8y + 9

x - 9 = -8y

y = (x-9) / -8

distribute -1 through the numerator and make 8 positive

y = -x+9/8

y = (9-x)/8

triangle ABC has vertices as points (-1,6), (-3,2), and (-9,5). what shape does this create

a) equilateral triangle
b) right triangle
c) isosceles triangle

Answers

Answer: b

Step-by-step explanation:

Graphing the triangle, we can see that it will be right.

What is the value of x?



Enter your answer in the box.

x =

Answers

Answer:

(3x+50)°=(6x-10)°

3x-6x= -10°-50°

-3x/-3 = -60/-3

x=20

use a distribute propety for the equiotion 25- (3x+5 ) =2(x +8)+x

Answers

Answer:

x=2/3

Step-by-step explanation:

25-(3x+5)=2(x+8)+x

25-3x-5=2x+16+x

20-3x=3x+16

20-3x-3x=16

20-6x=16

6x=20-16

6x=4x=4/6

simplify

x=2/3

Answer:

x=2/3

Step-by-step explanation:

what is the value of x?

6(x-4)=10

Answers

Answer:

[tex]\boxed{\sf{x=\dfrac{17}{3}=5.6 }}[/tex]

Step-by-step explanation:

Use a distributive property.

Distributive property:

[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

⇒ 6(x-4)=10

First, divide by 6 from both sides.

⇒ 6(x-4)/6=10/6

Solve.

⇒ x-4=5/3

Add by 4 from both sides.

⇒ x-4+4=5/3+4

Solve.

5/3+4

4*3/3+5/3

4*3+5/3

4*3=12

12+5=17

x=17/3

Dividing is another option.

17/3=5.6

x=17/3=5.6

Therefore, the final answer is x=17=5.6.

I hope this helps you! Let me know if my answer is wrong or not.

Hurry ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A bag contains 6 blue coins and 5 red coins. A coin is removed at random and replaced by three of the other color. What is the probability that the removed coin is blue? Enter your answer as a simplified fraction. The probability that the removed coin is blue is ...?

Answers

Answer:

6/11

Step-by-step explanation:

total number of coins = 11

number of blue coins = 6

p(blue) = 6/11

Answer:

heyy.

Step-by-step explanation:

Find the volume of the cone.

Use 3.14 for π. Round your answer to the nearest tenth if needed. Do not enter units.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Volume of cone :

[tex]\qquad \sf  \dashrightarrow \: \frac{1}{3} \pi{r}^{2} h[/tex]

Now, let's plug in the values as per the diagram ~

[tex]\qquad \sf  \dashrightarrow \: \frac{1}{3} \times 3.14 \times {(18)}^{2} \times 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: \frac{1}{3} \times 31.4 \times 324[/tex]

[tex]\qquad \sf  \dashrightarrow \: 31.4 \times108[/tex]

[tex]\qquad \sf  \dashrightarrow \:3391.2 \: \: ft {}^{3} [/tex]

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!

Answers

Answer:

A.

Mean-103.0625

Median- 8, 9

Mode- 8, 1

B.

They should use the shoe size 6, because it has the most women waering it.

Your Welcome!

Step-by-step explanation:

Mean:-

5+5.5+6+6.5+7+7.5+8+8.5/854/86.9

Median:-

Total terms 8

Median =n/2th term +(n/2+1)th term

Median=6.5 and 7

Mode:-

No modes

Jack had m math problems to complete during his vacation. He solved the same
number of problems every day and finished them all in 5 days.
Suppose Jack was solving 15 problems per day. Use this information and the answer
to part (a) to build an equation.

Answers

Answer:

M/5 =15

Step-by-step explanation:

The answer to part a was m/5. m/5 is the amount of questions Jack does per day. If 15 is supposedly the number of question he does per day, then m/5 and 15 are equal. Making m/5=15. Good luck fellow RSM student.

HELP PLEASE!!!!!!!!!!!

The sum of all but one interior angle of an octagon is 776°. The measure of the final interior angle is ___ degrees.

Answers

the sum of all interior angles in a polygon, regular or not is

180( n - 2), n = number of sides

now, this is an octagon, with 8 sides, so it has a total of interior angles of 180( 8 - 2) or 180(6) = 1080.

we know the sum of all BUT one is 776°, so the last one must be 1080° - 776° = 304°.

Pls help! This is my question..

A sample of iron has dimensions of 2 cm x 4 cm x 6 cm and a mass of 100g. What is the density of the sample?

Answers

First mass/volume is density
So,
1000/48

What do we know:

the dimensions ⇒ can help us find the volume, area, surface areamass

What do we want to find ⇒ Density

To solve that,

  ⇒ must find the relationship between density, mass, and volume

Definition of density: mass per unit volume

         ⇒ Density = mass / volume

Now let's convert some units to make it into a standard answer:

mass = 100g   ⇒ 0.1 kg      (1000g = 1kg)volume = 2 * 4 * 6 = 48 cubic centimeters = 0.000048 cubic meter

               (1 cubic meter = 1000000 cubic centimeter)

               

   ⇒ Density = 0.1 / 0.000048 = 2,083.33 kilograms per cubic meter

Hope that helps!

 

     

Find the value of X
Find the measures of the following angles

Answers

Answer:

angle X = 80; angle Y = 100; angle W = 100; x = 10

Step-by-step explanation:

opposite angles are always equal, which means that angle Z and angle X are equal.

angle X = 80º

now, angle Z plus angle Y makes a straight line, which means 180º (if you put the two angles next to each other)

that means 80 + (11x - 10) = 180

11x = 110

x= 10

by using this, we can find angles Y and W since opposites are equal

11x - 10 would be 100 and angles Y and W would be 100

I’m terrible at math

Answers

Answer:

lol same but that's okay we can all for sure get better at it :)

Step-by-step explanation:

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