A windshield wiper turns through an angle of 150°. The top of the blade traces the are with a 20-inch radius. How long is the
arc?
A. 52.36 inches
B. 75.4 inches
C. 0.1308 inches
D. 3000 inches

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Arc length is given by the formula:

[tex]\displaystyle s=2\pi r\frac{\theta}{360^\circ}[/tex]

Where r is the radius and θ is the central angle, in degrees.

The windshield wiper has a radius of 20 inches and a central angle of 150°. Hence:

[tex]\displaystyle s=2\pi (20)\left(\frac{150}{360}\right)[/tex]

Use a calculator:

[tex]\displaystyle s=\frac{50}{3}\pi \approx52.36\text{ inches}[/tex]

Our answer is A.


Related Questions

Un aserradero adquiere maquinaria y equipo para el corte de madera, que va perdiendo valor conforme transcurren los años, hasta que su valor contable es cero, como indica la gráfica de la función D(x)=(-x^3+2x^2+20x+20)/(x^2+4x+4) que modela esta depreciación en el eje y cada unidad son 20 000 pesos y en el eje x cada unidad es de 3 años.
a) ¿Cuál es el valor inicial del equipo y herramienta? ¿cuánto se ha depreciado al cabo de 12 años?

b) ¿existe un modelo lineal que aproxime los mismos valores que la función D(x)?

c) ¿En cuánto difieren los valores de ambas funciones al cabo de 9 años?

Answers

Answer:

-1 5

Step-by-step explanation:

what is 70.5 and 79.5 on a number line 60-100?

Answers

Answer:

s

Step-by-step explanation:

Zoe is starting her own snow plowing business. Zoe thinks she will do a better job than her competitors, so she thinks she can charge $11 per hour. If she knows she will only be able to work 40.25 hours per week, how much money will she earn each week

Answers

Answer:

$442.75

Step-by-step explanation:

$11/hour x 40.25 hours/week=$442.75

Someone be a g and answer this!

Answers

Y= 8.50x + 2.99 I hope this helps

Johnny was buying pizza rolls. One sausage pizza roll cost 1.54 and he also bought pepperoni flavored rolls. If he buys 6 sausage rolls and 10 pepperoni rolls and he spends $22.54 in total. How much does a pepperoni roll cost?

Answers

Answer:

$1.33

Step-by-step explanation:

multiply 6 by 1.54 to see how much he spent on sausage rolls

subtract that from the total ($22.54)

divide by 10 to see how much each pepperoni roll costs

Answer:

$1.33

Step-by-step explanation:

1.54x6=9.24

22.54-9.24=13.30

13.30/10=1.33

Geometry i need help with this geometry question

Answers

Answer:

RS/XY = ST/YZ

Step-by-step explanation:

They need to follow the same direction and same length in comparision to the rest. From what I can see, that seems to be the one that does that best.

A new laundry detergent is supposed to be equally superior to the leading brand in both hot and cold water. If the new detergent works as predicted, then there should be an interaction between the brand of detergent and the temperature of the water.
a. True
b. False

Answers

Answer: false

Step-by-step explanation: because you set the temp not the liquids.

Plz help me well mark brainliest if correct....??

Answers

Answer:

Table B

Step-by-step explanation:

In a circle of radius 10 cm, a sector has an area of 40 (pi) sq. cm. What is the degree measure of the arc of the sector?
72
144
180°

Answers

Answer:

144°

Step-by-step explanation:

First, find the area of the circle, with the formula A = [tex]\pi[/tex]

Plug in 10 as the radius, and solve

A = [tex]\pi[/tex]r²

A = [tex]\pi[/tex](10²)

A = 100[tex]\pi[/tex]

Using this, create a proportion that relates the area of the sector to the degree measure of the arc.

Let x represent the degree measure of the arc of the sector:

[tex]\frac{40\pi }{100\pi }[/tex] = [tex]\frac{x}{360}[/tex]

Cross multiply and solve for x:

100[tex]\pi[/tex]x = 14400[tex]\pi[/tex]

x = 144

So, the degree measure of the sector arc is 144°

Answer:

Solution :-

We know that

Area = πr²

Area = 3.14 × (10)²

Area = 314/100 × 100

Area = 314 cm²

Now

40π/314 = x/360

40 × 3.14/314 = x/360

125.6/314 = x/360

0.4 = x/360

0.4 × 360 = x

144 = x

[tex] \\ [/tex]

A community organization wants to determine area support for the construction of a new skate park in the center of town. The organization decides to survey 500 people to see whether they are willing to have their taxes increased for one year to fund the construction of the skate park. What is the best way to randomly choose these 500 people? O Select the first 500 taxpayers listed at the town hall. O Survey the first 500 people who visit the existing skate park. O Assign each taxpayer in town a number and then randomly select 500 of these numbers. O Choose 100 taxpayers from 5 different age groups in town.
PLEASE HELP!!!!​

Answers

Answer:  I just took the test, and the answer is 'Assign each taxpayer in town a number and then randomly select 500 of these numbers.'

Step-by-step explanation: Happy Pride Month!!

Some of the ingredients in Monica's cake recipe will have 2/3 cup of
butter, and 3/4 cup of flour. Monica wants to make 12 cakes. How much
butter will she use? How much flour will she use?

Answers

Answer:

(a)3-2=1 (b) 4-3=1 (c) 12-1-1=10

I want to know what 5/8 divided by 8/5 equals

Answers

Answer:

The answer is 0.390625

(no links) Please Help!

Answers

9514 1404 393

Answer:

  D, B

Step-by-step explanation:

Price per pound is found by dividing dollars by pounds.

  Store A: $9/(3 lb) = $3.00 /lb

  Store B: $9.75/(3 lb) = $3.25 /lb

  Store C: $12.40/(4 lb) = $3.10 /lb

  Store D: $14.50/(5 lb) = $2.90 /lb

Part A: The lowest price per pound is $2.90 per pound at store D.

Part B: The highest price per pound is $3.25 per pound at store B.

the question is in the picture

Answers

Answer:

the hypotenuse is 10

Step-by-step explanation:

6^2 + 8^2 = 100

square root 100 and its 10

please help if u can

Answers

Answer:

x = 11.74739484

Step-by-step explanation:

To solve this problem, you can use trig functions. We are given an angle and the side next to it, and we are looking for the side opposite it. The perfect trig function to use for this would be tangent:

tan(θ) = opposite / adjacent

We can substitute the values we already have:

tan(40) = x / 14

x = 14 * tan(40)

We can evaluate this using a calculator and get:

x = 11.74739484

The Home Depot has two special lawnmowers for sale this year. The electric mower costs $300 each, and the gas-powered mower costs $450 each. The store has room for 25 total mowers, and the store has to order at least $6000 worth of mowers to start the sale.

Answers

Answer:

300a + 450b ≤ 6000

Step-by-step explanation:

Given:

Cost of electric mower = $300

Cost of gas mower = $450

Total number of mower = 25

Cost of total mower is at least = $6,000

Find:

Number of each mower equation

Computation:

Number of electric mower = a

Number of gas mower = b

So,

Equations

a + b ≤ 25 ........ Equation 1

300a + 450b ≤ 6000 .......  Equation 1

PLEASE HELP!!!

Identify the axis of symmetry and the vertex on the graph given. Type your answer in the boxes provided.

Answers

A. axis of symmetry
B. x-intercepts
C. vertex

Question 13 I don’t know how to do it

Answers

Answer:

y = - [tex]\frac{1}{4}[/tex] (x - 1)²(x + 2)(x + 6)

Step-by-step explanation:

The roots from the graph are

x = - 6 , then factor is (x + 6)

x = - 2 , then factor is (x + 2)

x = 1 ( multiplicity 2 ) , then factor is (x - 1)² then

y = a(x - 1)²(x + 2)(x + 6) ← a is a multiplier

To find a substitute any point on the graph into the equation

Using (0, - 3 ), then

- 3 = a(- 1)²(2)(6) = 12a ( divide both sides by 12 )

- [tex]\frac{1}{4}[/tex] = a

Then

y = - [tex]\frac{1}{4}[/tex] (x - 1)²(x + 2)(x + 6)

3/4(x-2)+1/3(2x+5)=4​

Answers

Answer:

X=86/17

Step-by-step explanation:

Answer:

x=46/17

Step-by-step explanation:

Let's solve your equation step-by-step.

3/ 4 (x−2)+ 1/ 3 (2x+5)=4

Step 1: Simplify both sides of the equation.

3/ 4 (x−2)+ 1/ 3 (2x+5)=4

( 3/ 4 )(x)+( 3/ 4 )(−2)+( 1/ 3 )(2x)+( 1/ 3 )(5)=4 (Distribute)

3/ 4x+ −3/ 2 + 2/ 3 x+ 5/ 3 =4

( 3/ 4 x+ 2/ 3 x)+( −3/ 2 + 5/ 3 )=4 (Combine Like Terms)

17/ 12 x+ 1/ 6 =4

17/ 12 x+ 1/ 6 =4

Step 2: Subtract 1/6 from both sides.

17/ 12 x+ 1/ 6 − 1/ 6 =4− 1/ 6

17/ 12 x= 23/ 6

Step 3: Multiply both sides by 12/17.

( 12/ 17 )*( 17/ 12 x)=( 12/ 17 )*( 23/ 6 )

x= 46/ 17

HELP ME PLEASE, I can't figure out this puzzle :(

Answers

042 good luck on ur test

Elena wonders how much water it would take to fill her cup, so she wants to determine the diameter of the cylindrical cup. She drops her pencil in her cup and notices that it just fits diagonally. (See the diagram.) The pencil is 17 cm long and the cup is 15 cm tall. What is the diameter of the cup? Explain or show your reasoning.

Answers

Answer:

get brainly pictures in the appp store it should help you

Step-by-step explanation:

21. What is area of a rectangle with width 6 meters and length 3 meters?
I
A 6 m2
B.
12 m2
c. 18 m²
D. 36 m2

Answers

Answer:

18 m^2

Step-by-step explanation:

what is the surface area?​

Answers

Answer:

D.)

Step-by-step explanation:

(3x4)/2 = 6

(3x4)/2 = 6

5x11= 55

4x11= 44

3x11= 33

= 146

A genie pops out of a lamp and presents you with the following choice: - Receive $50,000 now or For the next month, start with 2 pennies on Day 1 and then receive 2 more pennies on Day 2, 4 more pennies on Day 3, 8 more pennies on Day 4, etc.
Write a function for each situation to determine the best financial decision.

Answers

Answer:

y = .01x * 2^x

y = 50000x

Hope that this helps!

state of the given functions are inverses. Part 3. NO LINKS!!!!​

Answers

Answer:

9.

h(x)=-x-1

let y =-x-1

interchanging role of x & y

x=-y-1

y=-x-1

h-¹(x)=-x-1

again

f(x)=(2-3x)/2

let

y=(2-3x)/2

interchanging role of x & y

x=(2-3y)/2

2x-2=-3y

y=(2-2x)/3

f-¹(x)=(2-2x)/3

Given function are not inverse of each other.

10.

f(x)=-x+3

let y=-x+3

interchanging role of x & y

x=-y+3

y=3-x

f-¹(x)=-x+3

equal to g(x)=-x+3

Given function are inverse of each other.

Answer:

Step-by-step explanation:

Call h(x) = y (It's easier to see).

y = -x - 1

The first step is always to interchange x and y

y = -x - 1

-x = y - 1

Solve for y

-x + 1 = y

If I understand the question, these two (f(x) and h(x)) are not inverses.

10 is a bit tricky. An inverse can invert into itself: This is called an involution. But if they are differently labeled, I'm not sure. I don't think that this is exactly what is men by an involution. Something like y = x would be. But you have 2 different inverses. I'm not sure that this qualifies.

y = x + 3      

g = x + 3

x = y + 3

x - 3 = y

Theo has one piece of train track that is 74 millimeters long and a second piece of train track that is 97 millimeters long.

How many meters of track does Theo have in all?


0.171 m

1.71 m

17.1 m

171 m

Answers

A: 0.171 m, because 1 meter is 1,000 mm, and there is only 171 mm total.

if p=(-1,-1) find the image of P under the following rotation. 90 degrees counterclockwise about the origin brainly

Answers

Answer:

(1 , –1)

Step-by-step explanation:

bro, you can see it if you draw on graph paper, or you just need to use your imagination more

Answer:

1,-1

Step-by-step explanation:

Helpp me please!!
I need it knowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww

Answers

Answer:

8yd×10yd=80yd

80yd÷2=40yd²

Step-by-step explanation:

Hope it helps :)

35 Type the correct answer in each box. Day Amount 1 $26 2 $23 3 $31 4 $26 5 $34 The table shows the amount Bill spent on 5 days last week. The mean of the amount he spent is $ The mean absolute deviation is $ Reset Next​

Answers

Answer:

The answer is 23 I just took this test and got it right

Step-by-step explanation:

Answer: 23

Step-by-step explanation:

heeeeeeeeeeeelppppppppppppppppppppppppppppp

Answers

1. The Agent Earned $6,303  

First, the real estate agency will earned 5.5%

5.5/100 * $382,000 = $21,010

Then, the agent earns 30% of $21,010

30/100 * $21,010 = $6,303

2. Basically, we're setting up an equation where Option A and Option B are the same amount.

For option A, you are making 23 dollars each hours, for 40 hours. (40*23)

For option B, you are making 4% of your sales. We're looking for how much she sells, so we can write that as x. (.04x)

Set the 2 options as equal and solve for x.   so x is  920(.04x

sorry if wrong it was really hard

3. If 90% are women, 10% are men.

If x is the total amount of people.

.1x = 320

Solve x from here.

FIANNLY IM DONE

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