An automobile windshield wiper 26 inches long rotates through an
angle of 60°. If the rubber part of the blade covers only the last 20
inches of the wiper, find the area of the windshield cleaned by the
windshield wiper.

Answers

Answer 1

Answer:

[tex]\approx 209.44\:\mathrm{in^2}[/tex]

Step-by-step explanation:

The area of a sector with radius [tex]r[/tex] and central angle [tex]\theta[/tex] is given by [tex]A{sec}=r^2\pi\cdot \frac{\theta}{360^{\circ}}[/tex]. Note that a sector is a part of a circle which is the area created by the windshield wiper.

We're given:

[tex]r=20[/tex] [tex]\theta=60^{\circ}[/tex]

Substituting given values, we have:

[tex]A=20^2\pi\cdot \frac{60}{360},\\\\A=\frac{20^2\pi}{6},\\\\A=209.439510239\approx \boxed{209.44\:\mathrm{in^2}}[/tex] (round as necessary).


Related Questions

Which of the following is the graph of…

Answers

Answer:

A

Step-by-step explanation:

Try graphing the function on desmos


A: 28, 23,30, 25, 27
B: 22, 19, 15, 17, 20

The difference between the mean of the numbers in list A and the average of the numbers in list B is?

Answers

Answer:

8

Step-by-step explanation:

mean of A=28+23+30+25+27/5 = 26.6

average of B=22+19+15+17+20/5 = 18.6

now,

difference= 26.6-18.6

=8,,

If a cube has an edge of length e, then the lateral surface area is:

Answers

Answer:

The total lateral surface of this cube is 4*e^2

Step-by-step explanation:

A cube is a figure with all the sides of the same length, so each face of a cube is a square.

Remember that the area of a square of sidelength L is:

A = L^2

Now, when we want to find the lateral surface of a figure, we ignore the bases of the figure.

So, if a cube has 6 faces, if we ignore the two bases, we are left with 4 square faces.

And if the edge length is e, then each one of these four faces has an area:

A = e^2

So the total lateral surface is 4 times that:

S = 4*e^2

The total lateral surface of this cube is 4*e^2

Answer:

4e2

Step-by-step explanation:

I got it correct on founders edtell

For an avid bird watcher, the probability of spotting a California Condor while birdwatching in the Grand Canyon area is 0.3. The probability of being able to take a clear picture of the bird suppose one is able to spot it is 0.8. What is the probability that the bird watcher is able to take a clear picture of a California Condor

Answers

Answer:

the probability of taking a clear picture of a California candor is .24

Two metal spheres of diameter 2.3cm and 3.86cm are melted. The molten material is used to cast equal cylindrical slabs of radius 8mm and length 70mm. If 1/2 of the metal is lost during casting. Calculate the number of complete slabs casted.​

Answers

Answer:

4

Step-by-step explanation:

If 1/20 of the metal is lost during casting. Calculate the number of complete slabs casted. (4mks)

A group of hens lays 69 eggs in a single day. On one particular day, there were 7 brown eggs and 62 white eggs. If four eggs are selected at random, without replacement, what is the probability that all four are brown?

Answers

Answer:

The probability will 4.32%.

The probability that all four are brown is 35/8,64,501.

Given that, A group of hens lays 69 eggs in a single day. On one particular day, there were 7 brown eggs and 62 white eggs.

What is the probability without replacement?

Probability without replacement means once we draw an item, then we do not replace it back to the sample space before drawing a second item. In other words, an item cannot be drawn more than once.

If four eggs are selected at random, without replacement, the probability that all four are brown is 7/69 × 6/68 × 5/67 × 4/66

= 7/69 × 3/34 × 5/67 × 2/33

=7/23 × 1/17 × 5/67 × 1/33

=35/8,64,501

Therefore, the probability that all four are brown is 35/8,64,501.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ2

у
х
9
3
Find the value of y.

Answers

9514 1404 393

Answer:

  (d) 6√3

Step-by-step explanation:

There are several ways to work multiple-choice problems. One of the simplest is to choose the only answer that makes any sense. Here, that is 6√3.

y is the hypotenuse of the medium-sized right triangle, so will be longer than that triangle's longest leg. y > 9

The only answer choice that meets this requirement is ...

  y = 6√3

__

In this geometry, all of the right triangles are similar. This means corresponding sides have the same ratio. For y, we're interested in the ratio of long leg to hypotenuse.

  long leg/hypotenuse = y/(9+3) = 9/y

  y² = 9(9+3) = 9·4·3

  y = 3·2·√3 . . . . . . take the square root

  y = 6√3

__

Additional comments

You may notice that y is the root of the product of the longer hypotenuse segment (9) and the whole hypotenuse (9+3 = 12). We can say that y is the "geometric mean" of these segment lengths. Similarly (pun only partially intended), x will be the root of the product of the short segment (3) and the whole hypotenuse (12)

  x = √(3·12) = 6

This is another "geometric mean" relation.

Further, the altitude will be the geometric mean of the two segments of the hypotenuse:

  h = √(9·3) = 3√3

A way to summarize all of these relations is to say that the legs of the right triangle that are not the hypotenuse are equal to the geometric mean of the segments of the hypotenuse that the leg intercepts.

  x = √(3·12)

  y = √(9·12)

  h = √(3·9)

Which of the following behaviors would best describe someone who is listening and paying attention? a) Leaning toward the speaker O b) Interrupting the speaker to share their opinion c) Avoiding eye contact d) Asking questions to make sure they understand what's being said

Answers

Answer:

d) Asking questions to make sure they understand what's being said

Step-by-step explanation:

Asking questions is important for learning and clears up any confusion.

the value of M such that 3 3 M + 3 = 9 M + 4​

Answers

Step-by-step explanation:

If you like my answer than please mark me brainliest

[tex]\\ \sf\longmapsto 33M+3=9M+4[/tex]

Interchange sides

[tex]\\ \sf\longmapsto 33M-9M=4-3[/tex]

[tex]\\ \sf\longmapsto (33-9)M=1[/tex]

[tex]\\ \sf\longmapsto 24M=1[/tex]

[tex]\\ \sf\longmapsto M=\dfrac{1}{24}[/tex]

Find the missing side round to the nearest tenth

Answers

Answer:  11.6

======================================================

Work Shown:

sin(angle) = opposite/hypotenuse

sin(29) = x/24

24*sin(29) = x

x = 24*sin(29) ..... exact value

x = 11.635430885912 .... approximate value

x = 11.6

To get the approximate value, you'll need a calculator. Make sure the calculator is in degree mode.

The answer would be 12.

PLSSSSSSSSSSSSSS HELPPPPPPPPPPPP

Answers

Answer:

Point D

Step-by-step explanation:

CD and MD share a common point, so it is the intersection

D

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

look at the image below

Answers

The answer is 113.1ft³
That looks like a sphere to me

Given the data, identity the type of data for each variable. (For example, determine whether the variable Day is categorical or quantitative data). Which variable is most appropriate to summarize using ungrouped frequency distributions

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

The variables in the heavenly chocolate dataset is attached below :

Variables are classed as either Categorical or Quantitative.

Categorical variables are used for non - numeric variables which are used to group values based on labels whole quantitative variables are those which are numeric.

Therefore, the variables ;

Customer = Quantitative (represented with number values)

Day = Categorical (Non-numeric)

Browser = Categorical (Non - numeric)

Time = Quantitative (contains numeric values)

Pages viewed = Quantitative (contains numeric values)

Amount spent = Quantitative (contains numeric values)

Quantitative variables are most appropriate to summarize using ungrouped frequency as the attributed of the data can be adequately ibtia Ed without have to seperates or place data into categories.

The football coach randomly selected 10 players and timed how long each player took to perform a certain drill. The result has a sample mean of 9.48 minutes and sample standard deviation of 2.14 minutes. Round answers to two decimals. The 95% confidence interval for the mean time for all players is : __________

Answers

Answer:

The 95% confidence interval for the mean time for all players, in minutes, is: (7.95, 11.01).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So

df = 10 - 1 = 9

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.2622.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.2622\frac{2.14}{\sqrt{10}} = 1.53[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 9.48 - 1.53 = 7.95 minutes.

The upper end of the interval is the sample mean added to M. So it is 9.48 + 1.53 = 11.01 minutes.

The 95% confidence interval for the mean time for all players, in minutes, is: (7.95, 11.01).

a firm employs 360 people of whom 1/9are killed workers and the rest are unskilled workers. Of the unskilled workers, six are foremen who earn sh 13500 per month each while the rest earn sh9000 per month .of the skilled workers. a half earn sh19500 each pm while the rest earn sh 24500 each per month .prepare one months wages bill for the firm​

Answers

Answer:

3787000

Step-by-step explanation:

360*1/9=40 - skilled workers

360-40=320- the quantity of unskilled

6*13500=81000- wage for six unskilled

(320-6)*9000= 314*9000= 2826000- wage for the rest of unskilled

2826000+81000= 2907000- wage for unskilled

40/2=20 - the half on skilled

20*19500= 390000- Payment for a half

20*24500= 490000- Payment for ANOTHER HALF OF SKILLED WORKERS

2907000+390000+490000= 3787000

PLEASE ANSWER QUICK ITS BEEN 1 HOUR
Which of the following is a unit rate?

A. 4 Feet / 1 Second

B. 120 Miles / 2 Hours

C. $1.25 / 4 oz

D. 340 Miles / 6 Gallons

Answers

9514 1404 393

Answer:

  A.  4 feet/(1 second)

Step-by-step explanation:

A "unit" is one of something. A unit rate is a rate that has 1 of something in the denominator. Look down the list at the denominators and find the value that has 1 as a denominator:

  [tex]\dfrac{4\text{ feet}}{1\text{ second}}[/tex]

find the value of the trigonometric ratio. make sure to simplify the fraction if needed

Answers

Answer:

3/5

Step-by-step explanation:

sin=opp/hyp

sinc=24/40=3/5

Jacqueline will spend a fair spinner with the numbers 0 1 2 3 and 4 a total of three times if event a spinner lands on numbers are greater than 2 and event be total sum of 9 which of the following best describes event A and B

Answers

Events are said to be INDEPENDENT if the occurence of one does not rest or depend on the outcome of another. Therefore, since the outcome of event A and B does not depend on each other, then both events are INDEPENDENT

Giving a brief description of the options given :

Dependent events are simply events where the outcome of one event affects the occurence of the other. This is usually related to selection without replacement, where the number of subjects changes after each selection.

Mutually Exclusive events simply refers to a scenario whereby two events cannot occur simultaneously. For instance, obtaining a head and a tail simultaneously during a single coin throw.

Complement events describes two exactly opposite events. For instance, the Complement of obtaining a 4 on a 6 - sided die roll is (1, 2, 3, 5, 6)

For the event described above , the occurrence of A does not hinder the occurrence of the other (not a dependent event ) and it is possible to have both events simultaneously (not Mutually exclusive) (If we have 3 in all throws then both events have occurred )

Therefore, the best description for events A and B is that both events are INDEPENDENT.

Learn more about independent events :

https://brainly.com/question/1393117

Answer: the answer is dependent

Step-by-step explanation:

Events are independent if the knowledge of one event occurring does not affect the chance of the other event occurring. In this case, the chance of Event B occurring is greater if Event A occurs, so these events are dependent. Since the spinner could land on 3, 3, and 3, the events are not mutually exclusive.

Suppose that there are two internet service providers in Kabwe, Eyeconnect and Topconnect.
Currently, Eyeconnect has 180 000 customers and Topconnect has 120 000 customers.
Assume that, every year, 10% of the customer base of Eyeconnect switches to Topconnect
and 5% of the customer base of Topconnect switches to Eyeconnect. For the purposes of this
question, suppose no customer leaves a company without switching to the other one and no
company attracts customers that are not leaving the other (that is, the only changes in
customer base come from switching between the two companies).
a. Find the number of customers of Eyeconnect and Topconnect after one year.
b. Find the number of customers of Eyeconnect after many years.

Answers

Answer:

a. 168000 for Eyeconnect, 132000 for Topconnect

b. 100,000

Step-by-step explanation:

a.

Because the change in customers are only due to leaving companies, we can say that, after one year, Eyeconnect loses 10% of its customers to Topconnect and Topconnect loses 5% of its customers to Eyeconnect. This represents all changes in customers.

First, we can calculate how much Eyeconnect loses, which is 10% of 180,000 = 0.1 * 180,000 = 18,000 . They then have 180,000 - 18,000 = 162,000 employees

Next, Topconnect loses 120,000 * 5% = 120,000 * 0.05 = 6,000. They then have 120,000-6,000 = 114,000 employees

We can then add the customer amounts. Note that we are subtracting both sides before adding as both companies gain and lose customers simultaneously.

We can then add how much one company lost to the other company's customers.

Eyeconnect gains 6,000 customers, so they then have 162,000 + 6,000 = 168000 employees. Topconnect gains 18,000 customers so they then have 114,000 + 18,000 = 132,000 employees

b.

After many years, the number of customers Eyeconnect has will be less than the number of customers that Topconnect has. One way to find the end amount of customers that Eyeconnect has is to figure out when the customer bases even out, or when Eyeconnect loses the same amount of customers as Topconnect so the customer base stays the exact same. We know that no customers leave or join the companies except to leave/join the other, so the total amount of customers between the two companies stays the exact same. The amount of customers is 180,000 + 120,000 = 300,000. Therefore, at the end amount,

Eyeconnect customers (E) + Topconnect customers (T) =300,000

Furthermore, if the amount of customers that leave Eyeconnect is the same that leaves Topconnect, we can say

E * 0.1 = T * 0.05

divide both sides by 0.05 to isolate the T

E * 0.1 / 0.05 = T

2 * E = T

plug that into the first equation

E + 2 * E = 300,000

3 * E = 300,000

divide both sides by 3 to isolate E

E = 100,000 after many years

Identify the first 4 terms in the arithmetic sequence given by the explicit formula ƒ(n) = 8 + 3(n – 1).

Answers

Step-by-step explanation:

simple formula application :

a1 = 8 + 3×(1-1) = 8

a2 = 8 + 3×(2-1) = 11

a3 = 8 + 3×(3-1) = 14

a4 = 8 + 3×(4-1) = 17

...

What are 3 ratios that are equivalent to 8 :5

Answers

Answer:

Step-by-step explanation:

8/5 = 16/10 = 24/15

8:5 = 16:10 = 24:15


Please please help!! Quickly

Answers

Answer:

pretty sure its D

Answer:

I have to give 2 Ans for my question

8.113 as a fraction PLEASE HELPP​

Answers

Answer:

8 113/1000(as a mixed number)      8113/1000(as an improper fraction)

Step-by-step explanation:

1. Convert 0.113 to a fraction...113/1000

2. As there is no further simplification needed, add 8 to 113/1000....8 113/1000

3. To convert 8 113/1000 from a mixed number to an improper fraction, multiply 8 (the whole number) and 1,000(the denominator)...8,000. Then add 113 (the numerator) to 8,000...8113. After that, you put 8113 over the denominator of the previous mixed number, getting 8113/1000 as the improper fraction.

How do I solve for y:
x²y² = 12/z²

Answers

Answer:

Y=Srt(12xs^2/z^2)

Step-by-step explanation:

Firstly

We multiply both sides with 1/x^2

We get

Y^2=12/z^2*1/x^2

Y^2=12x^2/z^2

Next: introduce a srt root

We have

Y=srt(12x^2/z^2)

Lesson 1 Skills Practice
Lines For Exercises 1-12, use the figure at the right. In that figure, line m is parallel.

Classify each pair of angles as alternate interior, alternate exterior, or corresponding.

Pictures Below.

Answers

9514 1404 393

Answer:

alternate interior: (2, 4), (3, 5)alternate exterior: (1, 7), (43°, 6)corresponding: (1, 5), (2, 6), (3, 7), alternate interior: (2, 4), (3, 5)

corresponding: (1, 5), (2, 6), (3, 7), (43°, 4)4)

Step-by-step explanation:

In this geometry, "corresponding" angles are in the same direction from the point of intersection of the transversal with the parallel line.

"Alternate" refers to angles on opposite sides of the transversal. "Interior" and "exterior" refer to angles between and outside of the parallel lines, respectively.

Here, we list all angle pairs in each classification, so you can answer questions 1-12 based on this list.

alternate interior: (2, 4), (3, 5)

alternate exterior: (1, 7), (43°, 6)

corresponding: (1, 5), (2, 6), (3, 7), (43°, 4)

__

Additional classifications are also used:

consecutive (same-side) interior: (2, 5), (3, 4)

consecutive (same-side) exterior: (1, 6), (43°, 7)

vertical: (1, 3), (2, 43°), (4, 6), (5, 7)

linear pairs: (1, 2), (1, 43°), (2, 3), (3, 43°), (4, 5), (4, 7), (5, 6), (6, 7)

Please show your work this question what made you come to the conclusion. Thank you

Answers

Answer:

B the range, the x- and y-intercept

Step-by-step explanation:

the domain stays the same : all values of x are possible out of the interval (-infinity, +infinity).

but the range changes, as for the original function y could only have positive values - even for negative x.

the new function has a first term (with b) that can get very small for negative x, and then a subtraction of 2 makes the result negative.

the y-intercept (x=0) of the original function is simply y=1, as b⁰=1.

the y-intercept of the new function is definitely different, because the first term 3×(b¹) is larger than 3, because b is larger than 1. and a subtraction of 2 leads to a result larger than 1, which is different to 1.

the original function has no x-intercept (y=0), as this would happen only for x = -infinity. and that is not a valid value.

the new function has an x-intercept, because the y-values (range) go from negative to positive numbers. any continuous function like this must therefore have an x-intercept (again, y = the function result = 0)

[tex] 3 {b}^{x + 1} = 2[/tex]

[tex] {b}^{x + 1} = 2 \div 3[/tex]

[tex] log_{b}(2 \div 3) = x + 1[/tex]

[tex]x = log_{b}(2 \div 3) - 1[/tex]

The mean of 5 conservative odd number is 11, find the numbers

Answers

I bet you meant "consecutive". If x is the smallest of the 5 numbers, then the other 4 are x + 1, x + 2, x + 3, and x + 4. If their mean is 11, then

(x + (x + 1) + (x + 2) + (x + 3) + (x + 4))/5

= (5x + 10)/5

= x + 2 = 11

==>   x = 9

Then the five numbers are {9, 10, 11, 12, 13}.

Alternatively, since we're talking about an odd number of consecutive integers, the mean among them will always be the number in the middle. So if 11 is the mean, and there are five numbers overall, then we just take the four closest integers to 11, two on either side.

look below for the image

Answers

Answer:

135.7 yd²

Step-by-step explanation:

Surface area of the cone,

πr²+πrl

= π×3²+π×11.4×3

= 43.2π

= 135.7 yd² (rounded to the nearest tenth)

Which is the graph of the equation y- 1 =} (x 3)?
10
06
6 4
(9,5)
3.1)
1
-10-A-22
2 4 6 8 10 x
4
od
wo
10
6

Answers

slope: 2/3
y-intercept(0,-1)

What unit of measurement would you use to measure the capacity of a juice box?

Answers

Juice in a juice box is usually measured in ounces.

Other Questions
The medical laboratory claim that the mean turn-around time for the performance of the battery of tests on blood sample is 1.005 business days. The manager of large medical practice believes that the actual mean is larger. A random sample of 45 blood samples yielded mean 2.09 and standard deviation 0.13 days perform the relavent test at 10% level of significance using there data. Why is energy needed for economic development of a country Select the correct answer.What testing approach does a development team use when testing the developed code rather than just the functionality of the code?A. white box testingB. black box testingC. acceptance testing D. usability testing an image of a statue appears to be 11.5cm behind convex mirror with focal length 13.5cm. Find the distance from the statue to the mirror Which civilization developed a form of picture writing?A. The EgyptiansB. The PersiansC. The AryansD. The Phoenicians hcf and lcm of 54,18,90 One number is 2 less than a second number.Twice the second number is 16 more than 4 timesthe first. Find the two numbers. What is physiological? Can someone help with this? need help asap now plzHow does Twains use of hyperbole in this excerpt advance his viewpoint?From earliest infancy it had been a cherished ambition of mine to be shaved some day in a palatial barber-shop in Paris.It emphasizes the fact that the experience with the barber was terrible.It illustrates how important this experience was to Twain.It highlights Twain's skill at painting a vivid picture with words.It indicates that Twain exaggerates too much when telling a story. 2. In your own words, explain HOW to find the standard deviation of this data set. (20 points) 3. What does the standard deviation tell you about this data? (20 points) I NEEDDDDD THISSSSSS PLSSSSSSSSSSSSSSSS Assume that the demand for bicycles increases significantly at the same time that there is an increase in the number of people qualified to make bicycles. What would happen to the market equilibrium quantity of labor and wage rate for the labor to produce bicycles what is 8/9 divide 2/3? Which statement is true regarding the angles in the figure below?Triangle E D F. A diagonal line is drawn from point D to form an angle.Angle D is an exterior angle because it shares a side with the triangle.Angle D is an exterior angle because it is not inside the triangle.Angle D is an exterior angle because it is formed by one side of the triangle and by extending another side of the triangle.Angle D is not an exterior angle. Fill in the type of cost that best completes each sentence.a. Profits equal total revenue minus ______________ .b. The term __________ refers to costs that involve direct monetary payment by the firm.c. _____________ is falling when marginal cost is below it and rising when marginal cost is above it.d. The cost of producing an extra unit of output is the _____________ .e. __________ is always falling as the quantity of output increases.f. The opportunity cost of running a business that does not involve cash outflow is a(an) ____________ . A parallelogram is cut out of a 12-inch by 8-inch sheet of paper. There are four right triangle remnants. Two have the dimensions 2 inches by 9 inches, and the other two have the dimensions 3 inches by 6 inches. A parallelogram is shown. An altitude is drawn from one point to the opposite side to form a right angle. The length of the base is 9.22 inches. The resulting parallelogram has a base of approximately 9.22 inches. Henry is an economist and wants to understand the relationship between inflation and consumer spending habits. For his research, he needsthe Consumer Price Index for 2014 and the Inflation rate. Based on the prices of goods given, what will to he find to be the CPI and Inflation rate for2014? Assume that a consumer's basket for three consecutive years consists of the following:YearPrice of an AppleNumber of ApplesConsumedPrice of anOrangeNumber of OrangesConsumed201223322013322014Ut5Consider 2012 to be the base year. A.100 CPI, 49.56 percent inflation B. 165 CPI, 45.40 percent inflation C. 185 CPI, 55.35 percent inflationO D. 175 CPI, 60.56 percent InflationO E. 125 CPI, 50.60 percent inflation When 52 grams of O2 react with excess C3H8, how many grams of CO2 would be produced? Which of the following is the solution to the equation x + 8.6 = 36.2?10.417.227.644.8 your neighbour is throttling his recent bought motorbike to show off. the sound intensity measured at your window 16m away is 0.25W/m^2. what is the sound intensity level in dB at your friend's house, a distance of 28m away from the noisy bike?