A mechanic alters the lighthouse to make the light rotate in such a way that is reflection travels north word along the wall at a constant rate of 100 ft./s how fast in radians per second is the beam of light rotating when the lights reflection is 100 feet north of the point on the wall that is closest to the lighthouse

Answers

Answer 1

Answer:

The correct solution will be "1 Rad/sec".

Step-by-step explanation:

The given value is:

Velocity (V)

= 100 ft./sec

As we know,

Angular velocity,

⇒  [tex]\omega=\frac{V}{R}[/tex]

On substituting the values, we get

⇒     [tex]=\frac{100}{100}[/tex]

⇒     [tex]=1 \ Rad/sec[/tex]


Related Questions

What is 3 to the sixth power times 3 there is a picture please help worth 12 pts.!!!!!

Answers

Answer:

2187 ( 3 to the 7th)

Step-by-step explanation:

3 to the 6th= 729

729 x 3 = 2187

if ABC undergoes a dilation of scale factor 3 centered at the origin, what will be the coordinates of the image of point B?
A- ( 6, 3 ) ?
B- ( 2, 9 ) ?
C- ( 5, 6 ) ?
D- ( 6, 9 ) ?
And why ..?
Please help! I’ll give Brainliest to the first person who answers.

Answers

Answer:

Step-by-step explanation:

(5,6)

Evaluate n^3 + 12 when n=2

Answers

Answer:

20

Step-by-step explanation:

2^3=8

8+12=20

I hope this helps.

Could someone please help me? I'm lost on how to solve this.

here is the multiple-choice for the question:

A) $21.83
B) $21.65
C) $22.37
D) $22.08​

Answers

Answer:

$22.08

Step-by-step explanation:

As long as the night power is not greater than 50%, then the rate is $8.71365.

The day power plan is $13.3672, according to the narration the sum of both variable is required, which is $22.08085.

Please help!! Thank you

Answers

D , I hope this helps
A.

D. Is wrong
Hope this helps

x²+x-56=0 quadratic equations

Answers

Step-by-step explanation:

To solve the equation, factor x

2

+x−56 using formula x

2

+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=1

ab=−56

Since ab is negative, a and b have the opposite signs. Since a+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product −56.

−1,56

−2,28

−4,14

−7,8

Calculate the sum for each pair

−1+56=55

−2+28=26

−4+14=10

−7+8=1

The solution is the pair that gives sum 1.

a=−7

b=8

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x−7)(x+8)

To find equation solutions, solve x−7=0 and x+8=0.

x=7

x=−8

Sam's Club has a special that charges $2.49 per case of water. Vinny wants to pay that price, but needs to purchase a membership first, which costs $50. If Vinny spent $67.43, which equation represents how many cases of water Vinny bought at Sam's club?

Answers

Answer: $50 + $2.49x = $67.43

Step-by-step explanation:

Let the case of water bought be represented by x.

We are informed that Sam's Club has a special that charges $2.49 per case of water and that Vinny wants to pay that price, but needs to purchase a membership first, which costs $50 and that Vinny eventually spent $67.43.

The equation that represents the number of cases of water that Vinny bought at Sam's club will be:

$50 + $2.49x = $67.43

Write an equation for the description
The length of a rectangle is twice its width. The perimeter of the rectangle is 131 feet.
_____=_____

Answers

Answer:

[tex]131=6w[/tex]

Step-by-step explanation:

[tex]l=length\\\\w=width\\\\\Longrightarrow l=2w\\\\\Rightarrow Perimeter=l+l+w+w\\\\P=2l+2w\\\\P=2(2w)+2w\\\\P=4w+2w\\\\P=6w\\\\P=131\\\\131=6w\\\\w=\frac{131}{6}\\\\w=21.8\overline{3}\\\\l=43.\overline{6}[/tex]

Answer:

A) l = 2 * w

B) 131 = 2l + 2w

B) 2l = 131 -2w

B) l = 65.5 -w

Substituting this into A)

65.5 -w = 2w

3w = 65.5

width = 21.8333333333

length = 43.6666666666

Double - Check

131 = 2 * 21.833333333 + 2 * 43.6666666666

131  = 43.6666666  + 87.33333333

131 = 131

Step-by-step explanation:

10 points to whoever can answer this id give more but i only have 10. AVIS rent a car is running a deal where you can rent a car for $49.99 and $0.99 per mile. Using "m" for miles, write and expression that depicts this situation.

Answers

Answer:

.99m+49.99

Step-by-step explanation:

The slope is the value per mile, being .99. The constant is the value that remains the same, which in this situation is represented by the downpayment, being 49.99.

The L.C.M of 4 and 8 is what?​

Answers

Answer:

8 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

[tex]8 \: is \: the \: lcm \: of \: 4 \: and \: 8[/tex]

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

Less Than

Step-by-step explanation:

 Given;

The equation of one exponential function is

[tex]g(x)=-9(0.1)^x[/tex]

Solve for (y-intercept of g(x))

⇒ [tex]g(x) = -9(0.1)^x[/tex]

⇒ [tex]y = -9(0.1)^0[/tex]

⇒ [tex]y = -9[/tex]

Note;

The y-intercept is when x = 0

y-intercept of h(x) = 6

Hence, knowing that  -9 < 6.

Thus, y-intercept of g(x) is less than the y-intercept of h(x).

~Learn with lenvy~

Answer:

less than

Step-by-step explanation:

The y-intercept is when x = 0

Function g(x)

[tex]g(x)=-9(0.1)^x[/tex]

Input x = 0 into the equation and solve:

[tex]\implies g(0)=-9(0.1)^0=-9[/tex]

Therefore, the y-intercept of g(x) is (0, -9)

Function h(x)

From inspection of the table, the y-intercept of h(x) is (0, 6)

As -9 < 6, the y-coordinate of the y-intercept of g(x) is less than the y-coordinate of the y-intercept of h(x)

Write out the steps to find the solutions for the following quadratic: (x-2)^2 = 25
(Please help me out with this one!)

Answers

Answer:

x=7

Step-by-step explanation:

Starting with (x-2)² = 25

First, square root both sides to get rid of the square on the left. You'll get:

x-2 = 5

Add 2 to both sides to get x alone. You'll get:

x=7

Check your answer by filling in 7 for x:

(7-2)² = 25

(5)² = 25

25 = 25

(30PTS and PLEASE HELP!!) What is the function rule that describes the pattern in the table?

X: -2, -1, 0, 2, 1


Y: -6, -5, -4, -3, -2


A. x = y - 4


B. y = x + 4


C. y = x - 4


D. x = y + 4

Answers

9514 1404 393

Answer:

  C.  y = x - 4

Step-by-step explanation:

We notice that values of x are consistently 4 more than the corresponding values of y. One way this can be written is ...

  x = y + 4 . . . (matches choice D)

However, we usually consider y to be the dependent variable. Rearranging this to "y = " form, we have ...

  y = x - 4 . . . matches choice C

Beatrice traveled the last 220 miles of the trip at 55 miles per hour. The entire trip
covered 430 miles and took 7 hours. What was her rate for the first 210 miles?

Answers

Answer:

Beatrice traveled the last 220 miles of the trip at 55 miles per hour. The entire trip covered 430 miles and took 7 hours. What was her rate for the first 210 mile?

Let Beatrice's average speed for the first 210 miles = S

220/55 + 210/S

Solve for S:

4 + 210/S = 7

Bring 4 + 210/S together using the common denominator S:

(2 (2 S + 105))/S = 7

Multiply both sides by S:

2 (2 S + 105) = 7 S

Expand out terms of the left hand side:

4 S + 210 = 7 S

Subtract 7 S + 210 from both sides:

-3 S = -210

Divide both sides by -3:

Answer: |S = 70 - miles per hour, her speed for the first 210 mStep-by-step explanation:

help plz!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

3x = 105

x = 35

3(35) = 105

An emperor penguin dives down into the ocean at a constant rate. From the surface, he dives 1,760 feet in 8 minutes. The number -1760 represents the location of the penguin in relation to the surface. What number represents the location of the penguin in relation to the surface 2 minutes after beginning his dive?

Answers

Answer:

location after 2 minutes dive from the surface = -440 feet

Step-by-step explanation:

We are told that he dives 1,760 feet in 8 minutes.

Now, we are told that he dives down at a constant rate.

Thus means that the distance he dives per minute can be gotten.

Distance dived per minute = 1760/8 = 220 feet/minutes

Now, we want to find the location of the penguin in relation to the surface 2 minutes after beginning his dive.

Thus;

Distance after 2 minutes = 220 feet/minutes × 2 minutes = 440 feet

Now, because the dive is below the surface, the location will be negative.

Thus, location after 2 minutes dive from the surface = -440 feet

In what ratio is the line joining the points.

(-1,8) and (5,2) divided by the point (3,4)​

Answers

Answer:

2:1

Step-by-step explanation:

use k:1 as ratio, and then apply the section formula.

let's use the x co-ordinate pf the point in between the other two which is=(3)

section formula says,

x=mx2 + nx1/(m+n)

m=k , n=1

substitute all the values,

3=5k+(-1)/(k+1)

take k+1 to left side,

3(k+1)=5k-1

3k+3=5k-1

5k-3k=3+1

2k=4

(÷2)

k=2

hence, the ratio = 2:1

Please help me solve Question no C anyone?

Answers

Answer:

Step-by-step explanation:

help please! could someone also show how they got the answer?

Answers

Answer:

420

Step-by-step explanation:

1. Find the area of the square:

5 x 5 = 25

2. Find the area of the triangle:

1/2 x base x height

1/2 x 5 x 4 = 10

3. Add the two areas:

25 + 10 = 35

4. Multiply 35 by 12:

35 x 12 = 420

answer please!!! asap

Answers

The answer is 3.61. Because some of the square are half

What’s the value of the underlined digit?

Answers

Answer:

C

Step-by-step explanation:

Do 300,000/3 and count 0 to find answer

the answer is c hope it’s correct! sorry if it’s wrong! thank you!

Can anyone please help me I am not sure if it’s the correct answer but someone please help me!

Answers

Answer:

doing the inverse operation

Step-by-step explanation:

You can tell how to isolate a variable by listing the operations done to it, as prescribed by the order of operations. Then, you work backwards up the list performing inverse operations as you go.

__

Additional comment

Where mixed powers of the variable are involved, as in polynomials of degree higher than 1, there is generally not an inverse operation you can use to isolate the variable. Rather, special forms are used that facilitate isolating the variable. The variable in a quadratic, for example, can be isolated by "completing the square." Similar procedures are available for solving cubic and quartic equations, though those tend to be somewhat more complicated.

There are many kinds of equations in which there are no methods for isolating the variable. In general, any mix of polynomial terms and logarithmic, exponential, or trigonometric function terms are in that category: x +sin(x) -3 = 0, for example. (A graphing calculator shows the solution is near x=2.18, where the angle is in radians.)

Tammy has planted a small young tree in her yard. To allow for the trees growth she needs 15 ft in all directions around the base of the tree to remain open and unplanted which best describes the section of ground surrounding the base of the tree that should remain unplanted? Area of an isosceles triangle, area of a equilateral triangle, area of ellipse, area of a square, or the area of a circle?

Answers

Answer:

area if square or area of ellipse

Step-by-step explanation:

I think so if I get it word don't get made at me

The required area that is best for the planting of the tree is the area of the circle.

What is surface area?

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
Given that, Tammy has planted a small young tree in her yard. To allow for the growth of the tree she needs 15 ft in all directions around the base of the tree to remain open.
When the curve is drawn at 15 ft from the plant the curve came out to be a circle,

Thus, the required area that is best for the planting of the tree is the area of the circle.

Learn more about the surface area here: https://brainly.com/question/2835293

#SPJ2

How many solutions can be found for the equation 5x 3(x − 1) = 10x − 2x − 3? None One Two Infinitely many.

Answers

Answer:

D.∞

brainliest would be appreciated!

Help *QUICK!!!* please ​

Answers

Answer:

a. 8x+5

b. 7x+1

c. 14x²+6x+8

d. x²+6x+5

Susan walks into a coffeeshop. The shop charges $3 for a small coffee and $2 one-time tip for the barista. Consider the following: y = 3x + 2, y is the total cost for coffees and x is the number of coffees purchased. Based on the information, which statement is TRUE?

Answers

[tex]x^{2} \sqrt{x} \neq \geq \leq[/tex]Answer:

B

Step-by-step explanation:

Its so easy

A bird flies from the bottom of a canyon that is 87 7/10 feet below sea level to a nest


that is 829 7/10 feet above sea level. What is the difference in elevation between the bottom of the

canyon and the bird's nest?

Answers

Answer:

742 feet

Step-by-step explanation:

829 7/10 - 87 7/10=742

How many pieces of 3 1/2 in. Wood can be cut from a 63 in. Piece of wood?

Answers

Answer:

18

Step-by-step explanation:

So, it's a 63 in piece of wood, being cut into 3 1/2 in pieces, (or 3.5)

So do 63 / 3.5 = 18

18 pieces of 3 1/2 in pieces of wood

Which graph represents the inequality 3y−5x>−6?

Answers

Answer:Top Left

Step-by-step explanation:

Graph A represents the given inequality 3y−5x>−6. Option A is correct.

From the graphs, the graph is to choose which best describes the inequality 3y−5x>−6

What is inequality?

Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Given inequality,

3y−5x>−6.

Since the inequality contains only greater than sign, so options B and C will be omitted because both the graphs show boundary conditions that are wrong for the given inequality.
Now, graph A and D show now boundary condition and shaded portions

3y−5x>−6


Since the inequality is shown greater than -6 so the inequality will start from a negative y toward the positive y i.e.


3y−5x > −6

3y > 5x - 6
y > (5x - 6)/3


The above expression shows the value of y lies above the line y =5x/3-2 which implies graph A is correct.

Thus, Graph A represents the given inequality 3y−5x>−6. Option A is correct.


Learn more about inequality here:

http://brainly.com/question/14098842

#SPJ6


You lay a ladder against a building window. The building makes a right angle to the ground. The building is 30 feet tall, and the distance from the bottom of the building to the bottom of the ladder is 12 feet. What is the distance from the bottom of the ladder to the window?

Answers

Answer:

32.3 feet.

Step-by-step explanation:

I attached a picture to show u the work!! sorry I spelled pythagorean theorem

Other Questions
Solve for X I need help ASAP please Determine the circumference of the given circle. If DF = 84 and EF = 29. what is DE? PLS HELP GIVING BRAINLIEST TO FIRST PERSON What will display after the following code is executed? def main(): print("The answer is", magic(5)) def magic(num): answer = num + 2 * 10 return answer main() What happens during a drought?(1 point) a horse mass of 150kg it has force of 50n what is its acceleration is 14/20 and 16/24 equal (yes or no?) What is the length of a 46 inch TV that has a height of 30 inches Bonita is a licensed dentist. During the first month of the operation of her business, the following events and transactions occurred.April 1 Invested $18,000 cash in her business.1 Hired a secretary-receptionist at a salary of $500 per week payable monthly.2 Paid office rent for the month $1,100.3 Purchased dental supplies on account from Dazzle Company $4,200.10 Performed dental services and billed insurance companies $4,700.11 Received $1,400 cash advance from Leah Mataruka for an implant.20 Received $2,100 cash for services performed from Michael Santos.30 Paid secretary-receptionist for the month $2,000.30 Paid $2,720 to Dazzle for accounts payable due.(a)Partially correct answer iconYour answer is partially correct.Journalize the transactions. (List all debit entries before credit entries. Credit account titles are automatically indented when amount is entered. Do not indent manually. Record journal entries in the order presented in the problem. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.)DateAccount Titles and ExplanationDebitCreditchoose a transaction dateenter an account title to record the owners investment of cash in businessOwner's investment of cash in businessenter a debit amount $18,000enter a credit amount enter an account title to record the owners investment of cash in businessenter a debit amount enter a credit amount (Owners investment of cash in business)choose a transaction dateenter an account title to record a recruitment of secretary-receptionistenter a debit amount enter a credit amount enter an account title to record a recruitment of secretary-receptionistenter a debit amount enter a credit amount (Hired a secretary-receptionist)choose a transaction dateenter an account title to record the payment of monthly office rententer a debit amount enter a credit amount enter an account title to record the payment of monthly office rententer a debit amount enter a credit amount (Paid monthly office rent)choose a transaction dateenter an account title to record the purchase of supplies on account from Dazzle Companyenter a debit amount enter a credit amount enter an account title to record the purchase of supplies on account from Dazzle Companyenter a debit amount enter a credit amount (Purchased supplies on account from Dazzle Company)choose a transaction dateenter an account title to record billing the clients for services performedenter a debit amount enter a credit amount enter an account title to record billing the clients for services performedenter a debit amount enter a credit amount (Billed clients for services performed)choose a transaction dateenter an account title to record the receipt of the cash for future serviceenter a debit amount enter a credit amount enter an account title to record the receipt of the cash for future serviceenter a debit amount enter a credit amount (Received cash for future service)choose a transaction dateenter an account title to record the receipt of the cash for services performedenter a debit amount enter a credit amount enter an account title to record the receipt of the cash for services performedenter a debit amount enter a credit amount (Received cash for services performed)choose a transaction dateenter an account title to record the payment of monthly salaryenter a debit amount enter a credit amount enter an account title to record the payment of monthly salaryenter a debit amount enter a credit amount (Paid monthly salary)choose a transaction dateenter an account title to record the payment to Dazzle Company on accountenter a debit amount $2,720enter a credit amount enter an account title to record the payment to Dazzle Company on accountenter a debit amount enter a credit amount (Paid Dazzle Company on account) -. What parts of the present-day United States were explored by Spaniards looking for the Seven Cities of Cibola? * Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions. The History of Pizza Where was the "Margherita" pizza first made, and who was it made for? Pizza is not the only type of flat bread with toppings! According to the article, what other cultures have used flat bread as a food dish, and what kinds of toppings did they use? When did pizza come to America, and when did the first American pizzeria open? Which of the following are mathematical sentences? Check all that apply.O A. 9O B. 4+3 = 7OC. 7OD. 2 How has Mr. Rochester been freed by the fire?a. Mrs. Rochester died after having a fever and consumptionc. Mrs. Rochester's mother has taken her awayb. Mrs. Rochester came to her senses and has left Mr. Rochesterd. Mrs. Rochester killed herself by jumping off the 3rd story during the firePlease select the best answer from the choices providedABCD HELP ME PLS I NEED THIS LUV U GUYS please help if you can!! I will give you brainliest List TWO facts that show what fair discrimination is. Find the measure of < 5i will give brainly if u explain please One-fifth of an even number added to one-sixth of the next even number makes a total of 15. find the two numbers(Hint: let the number be x and x + 2.)