A particle moves along a circular path with radius 3 centimeters. The particle has an angular velocity of 3π/4 radians per second. What is the length of the arc, in centimeters, generated after 5 seconds? Round your answer to the nearest tenth.

Answers

Answer 1

After 5 s, the particle traverses a path subtended by an angle of

(3π/4 rad/s) (5 s) = 15π/4 rad

Now, 15π/4 rad = 15/8 * 2π rad, so the arc has a length equal to 15/8 of the circumference of the path:

15/8 * 2π * (3 cm) = 45π/4 cm ≈ 35.3 cm


Related Questions

What is the measure of A

Answers

Answer:

the answer is 3

Step-by-step explanation: the third one is the answer

Statistic Company A Company B Arithmetic Mean 500 600 Median 500 500 Mode 500 300 Standard Deviation 40 20 Mean Absolute Deviation 32 16 Quartile Deviation 25 14 Range 240 120 Sample Size 100 80 The middle 95% of the wires from Company A tested between (________) and (upper) limit. Record ONLY the lower limit as a whole number.

Answers

Answer:

The answer is "About 421.6 and 578.4 the middle of 95% of both the wires of the A business checked".

Step-by-step explanation:

The Mean = Median = Mode= 500 for company A  

It also will see company A as a regular delivery  

Mean > Median > Mode for the business B  

Company B would seem to have a correct warped delivery

The value of Z varies in the center of 95% of the wires: [tex](-1.96\ \ from \ \ 1.96)[/tex]

[tex]\text{The lower bound} = Mean - 1.96 \times \sigma[/tex]

                           [tex]= 500 - 1.96 \times 40 \\\\= 500 - 78.4\\\\= 421.6[/tex]

[tex]\text{The upper limit = Mean} + 1.96 \times \sigma[/tex]

                         [tex]= 500 + 1.96 \times 40 \\\\= 500 + 78.4 \\\\= 578.4[/tex]

The formula K=59(F−32)+273.15 converts temperatures from Fahrenheit F to Kelvin K.

a. Solve the formula for F.

F= ​

Answers

Answer:

9/5 (K-273.15) + 32=F

Step-by-step explanation:

K=5 /9(F−32)+273.15

Subtract 273.15 from each side

K-273.15=5/9(F−32)+273.15-273.15

K-273.15=5/9(F−32)

Multiply by 9/5 on each side

9/5 (K-273.15)= 9/5 *5/9(F−32)

9/5 (K-273.15)=(F−32)

Add 32 to each side

9/5 (K-273.15) + 32=F−32 +32

9/5 (K-273.15) + 32=F

Answer:

f=1/59k+27.370339

Step-by-step explanation:

k=59(f−32)+273.15

Step 1: Flip the equation.

59f−1614.85=k

Step 2: Add 1614.85 to both sides.

59f−1614.85+1614.85=k+1614.85

59f=k+1614.85

Step 3: Divide both sides by 59.

59f/59=k+1614.85/59

f=1/59k+27.370339

Find the volume of a box that is 2 in x 4 in x 3 inch

Answers

Answer:

24in

Step-by-step explanation:

2*3*4= 24

Which expression is equivalent to (18x + 9k) + (2x + 6k)?
16 x + 3 k
20 x + 15 k
20 x + 16 k
36 x + 54 k

Answers

Answer:

B. 20x + 15

Step-by-step explanation:

Get rid of the parenthesis and combine like terms: 18x + 2x and 9k + 6k

You get: 20x + 15.

Answer:

b

Step-by-step explanation:

the person above me should have brainliest

Write an equation of the line shown. Then use the equation to find the value of 2 when y = 185

Answers

Answer:

[tex] y = 15x + 20 [/tex]

x = 11, when y = 185

Step-by-step explanation:

Given:

(0, 20);

(2, 50)

Required:

Equation of the line;

Value of x, when y = 185

SOLUTION:

Equation of the line can be written using the slope-intercept formula, given as, [tex] y = mx + b [/tex].

m = slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} =\frac{50 - 20}{2 - 0} = \frac{30}{2} = 15 [/tex]

b = y-intercept = the pointt at which the line cuts the y-axis = 20

Plug in the value into the formula to get the equation:

[tex] y = mx + b [/tex]

[tex] y = 15x + 20 [/tex]

Use this equation to solve for x, when y = 185

[tex] y = 15x + 20 [/tex]

[tex] 185 = 15x + 20 [/tex] (substitution)

[tex] 185 - 20 = 15x + 20 - 20 [/tex]

[tex] 165 = 15x [/tex]

[tex] \frac{165}{15} = \frac{15x}{15} [/tex]

[tex] 11 = x [/tex]

x = 11, when y = 185

If M is the midpoint of XY and XM=2x+5 and MY=3x-1, then what is the length of MY?

Answers

Answer:

If M is mid point then XM = MY

2x +5 = 3x -1

2x - 3x = -1 - 5

-x = -6....so

x = 6

MY = 3(6) -1

MY = 18 -1

MY = 17

The high school has 35 teachers and 630 students. What is the ratio of teachers to students?
A: 18:1
B: 1:18
C: 630:35
D: 35:630

Answers

Answer:

The ratio of teachers to students is B) 1:18

Step-by-step explanation:

Simply divide the number of teachers to the number of students

630/35 = 18

Therefore the ratio between teachers to students is 1:18, meaning that there is 1 teacher designated for every 18 students.

When Alyssa was ten years old, she was twice as old as her horse midnight. If midnight died when he was twenty four years old, how old was Alyssa when Midnight died?

Answers

Let Alyssa's horse's age be x .

Then :-

Alyssa's age = 2x

Age of her horse when it died = 24

Alyssa's age when her horse died =

[tex]2x \\ = 2 \times x \\ = 2 \times 24 \\ = 48 \: years[/tex]

∴ Alyssa was 48 years old when her horse Midnight died .

Answer:

29

Step-by-step explanation:

Alyssa was twice the age of midnight so 10 ÷2 =5(age gap)

Midnight died at 24 so Alyssa was 29 that time because

24+5(age gap) =29

Hope this helps

Juan earns $625 per week. He is married and claims 3 withholding allowances. He pays $90 each week for childcare. If he participates in his employer's cafeteria plan and has the childcare expenses deducted from his wages before taxes, how much will he save in federal income and FICA tax each paycheck?

Answers

Answer:

help needed

Step-by-step explanation:

.

Can someone please help me with this please?

Answers

Answer:

10a.) 6   10b.) 4 sopranos, 10 altos, and 6 tenors

Step-by-step explanation:

24:60:36

these can all be divided by 6, or their gcf

So each group would have 4 sopranos, 10 altos, and 6 tenors

Hope this helps :) And sorry, I couldn't quite get the last two

The brewsters are saving for their daughters college days. The would like to be able to withdraw $800

Answers

Answer:

Very nice

Step-by-step explanation:

is there a question? or more information on it?

A tank measures 1.8m x 0.5m x 0.5 m what is the surface area including the top

Answers

Answer:

4.1

Step-by-step explanation:

1.8 x 0.5 = 0.9

0.5 x 0.5 = 0.25

2(0.9 + 0.9 + 0.25) = 2(1.8 + 0.25) = 2(2.05)

2 x 2.05 = 4.1

Therefore the answer is 4.1

I hope that was helpful!

Answer:

Hope it helps.....plz mark as brainliest

Step-by-step explanation:

SA = 2(hl+hw+lw)

 

It doesn't matter which specifically is the height or width or length in this case.

1.8 x 0.5 = 0.9

1.8 x 0.5 = 0.9

0.5 x 0.5 = 0.25

2(0.9 + 0.9 + 0.25) = 2(1.8 + 0.25) = 2(2.05)

2 x 2.05 = 4.1, which is the surface area.

A lake is 35 miles across. Find the width of the lake on the map.

Answers

Answer:

5 cm or 5 miles

Step-by-step explanation:

Because 1 cm = 7 miles so that mean divide it by 35 which you would get 5

Type the answer in standard form below.
What is the value
of the 7
in the number
7,682,912?

Answers

Answer:

its 7 million

Step-by-step explanation:

Can someone solve and show work for this pls

Answers

Answer:

Dividing : 6x5 + 26x4 - 5x3 + 17x2 - 21x + 10

("Dividend")

By : 3x - 2 ("Divisor")

dividend 6x5 + 26x4 - 5x3 + 17x2 - 21x + 10

- divisor * 2x4 6x5 - 4x4

remainder 30x4 - 5x3 + 17x2 - 21x + 10

- divisor * 10x3 30x4 - 20x3

remainder 15x3 + 17x2 - 21x + 10

- divisor * 5x2 15x3 - 10x2

remainder 27x2 - 21x + 10

- divisor * 9x1 27x2 - 18x

remainder - 3x + 10

- divisor * -x0 - 3x + 2

remainder 8

Quotient : 2x4 + 10x3 + 5x2 + 9x - 1

Remainder : 8


For this graph, mark the statements that are true.

I need help pls

Answers

HOWWW DID U ADD A PIC

A car is 180 inches long. A truck is 75% longer than the car. How long is the truck? Explain or show your reasoning.

Answers

Answer:

315 inches long

Step-by-step explanation:

180 x .75= 135 <--- that is 75% of 180

then add the two numbers

180 + 135

you add them because the original length of the car is 180 inches and the truck is 75% longer.

180 + 135= 315

is 7/28 and 12/34 proportional

Answers

Answer:

no it is notttttttttttttt

Answer:

No

Step-by-step explanation:

What are the solutions of the equation 4x3x 24 ?​

Answers

Check out tiger algebra you can get an answer there good luck

Graph the line using a point and a slope. Write the equation of each line.
c
a line that contains point (0, −3) and perpendicular to another line whose slope is 2.

Answers

Answer:

Graph attached.

Step-by-step explanation:

Line (i) contains  point (0, -3)It's perpendicular to line (ii) whose slope is 2

The product of slope of line (i) and slope of line (ii) should be equal to -1 (product of slopes of two perpendicular lines = -1)

i.e

Slope of line (i) × 2 = -1

Slope of line (i) = [tex]-\frac{1}{2}[/tex]

To find the equation of line (i), we need another point (x,y) on the line.

Slope (m) = change in y ÷ change in x = [tex]\frac{y - -3}{x - 0} = -\frac{1}{2}[/tex]

y = [tex]-\frac{1}{2} x[/tex] - 3

*The graph of this line is attached here below.

if 3/2p = 15 what is p

Answers

Answer:

p= 1/10

Step-by-step explanation:

i looked it up

Last week Margo bouggt 4 new nail polish colors and it cost her $14. Today she only has $11. How many new colors can she buy?

Answers

Answer:

she can buy 3

Step-by-step explanation: 3.50x3=10.50 which is the closest you can get without going over the price range

She can buy 3 new colors .

A triangle has one angle that measures 56∘ and one angle that measures 63∘. The measure of the triangle's third angle is _____ degrees.

Answers

Answer:

61 degrees

Step-by-step explanation:

Let's do this

So we know all the angles measure in a triangle will be 180 degrees

We have 56 and 63

To find the third, let's add and subtract

56+63=119

Now let's subtract from 180

So 180-119=61

The third angle measures 61 degrees

Now let's add them up and see if they total 180 degrees

So 56+63+61=180

Yay, we found the answer!

The answer is 61 degrees.

too young to tat based on a harris poll, among adults who regret getting tattoos, 20% say that they were too young when they got their tattoos. assume that five adults who regret getting tattoos are randomly selected, and find the indicated probability. find the probability that exactly one of the selected adults says that he or she was too young to get tattoos. group of answer choices​

Answers

Answer:

The probability that exactly one of the selected adults says that he or she was too young to get tattoos is 0.4096.

Step-by-step explanation:

Let X denote the number of adults who says that he or she was too young to get tattoos.

The probability of selecting an adults who says that he or she was too young to get tattoos is, p = 0.20.

Five adults who regret getting tattoos are randomly selected.

The events of any of these five adults regretting getting tattoos is independent of each other.

The random variable X follow a Binomial distribution with parameters n = 5 and p = 0.20.

Compute the probability that exactly one of the selected adults says that he or she was too young to get tattoos as follows:

[tex]P(X=x)={5\choose x}(0.20)^{x}(1-0.20)^{5-x}\\\\P(X=1)={5\choose 1}(0.20)^{1}(0.80)^{5-1}\\\\[/tex]

                [tex]=5\times 0.20\times 0.4096\\\\=0.4096[/tex]

Thus, the probability that exactly one of the selected adults says that he or she was too young to get tattoos is 0.4096.

Which transformation of f(x) will produce the same graph as g(x)?

f(x) = 3x
g(x) = f(x) + 3

A.
h(x) = f(x) + 1
B.
h(x) = 2f(x)
C.
h(x) = f(x + 1)
D.
h(x) = f(x − 1)

Answers

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Solve the equation for y

1/4y - 2x = 5

1. y = 8x + 20
2. y = 2x + 5
3. y = (1/2)x + 5/4
4. y = -8x + 20

Answers

Answer:

y = 8x +20

Step-by-step explanation:

The value of y for the given expression is y = 8x + 20. The correct option is A.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression is 1/4y - 2x = 5. The value of y for the expression is solved as below:-

1/4y - 2x = 5

( 1 / 4 )y = 2x + 5

y = 4 ( 2x + 5 )

y = 8x + 20

Therefore, the value of y for the given expression is y = 8x + 20. The correct option is A.

To know more about an expression follow

https://brainly.com/question/723406

#SPJ2

Please answer this correctly without making mistakes

Answers

Both are correct

I accidentally got rid of the other things so I now have to type 20 characters so i can actually answer it

ew gross i hate IXL....

The total number of students enrolled at Berhimar Middle School is 1,400 students. If the ratio of boys to girls is also to 4
for the school how many students are boys and how many students are girls at Berkmar Middle Seheel show your work or
explain your thinking




Help

Answers

Answer:

700 and 700

Step-by-step explanation:

kevin has $25. mp3 downloads cost 0.75

Answers

Answer:

He could make 33 downloads and have $0.25 left.

Step-by-step explanation:

Answer:

33 Downloads

Step-by-step explanation:

I'm assuming the question is asking how many downloads can Kevin get. the answer is 33 downloads.

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