A sailboat is 175 feet from the base of a lighthouse. If the angle of elevation to the top of the lighthouse is 23°, find the height of the lighthouse, to the nearest hundredth of a foot.

Answers

Answer 1

9514 1404 393

Answer:

  74.28 ft

Step-by-step explanation:

The tangent of the angle is the ratio of opposite side (lighthouse height) to adjacent side (distance from lighthouse).

  tan(23°) = height/(175 ft)

  height = (175 ft)·tan(23°) ≈ 74.28 ft


Related Questions

(((95*26)-470)-470)/16)-35

Answers

Answer:

Its either 60.625 or 90

Step-by-step explanation:

((2470 - 470)/16) - 35

(2000/16) - 35

125 - 35

90

90 is true if you made a mistake in adding two 470's, but if this is the actual equation, it is 60.625

(or when you follow the order of the numbers it becomes the 61 number)

Savanna spent a total of $116 on 30 plates, 40 cups, and 4 packages of napkins. Matthew spent $1000 on 250 plates, 300 cups, and 50 packages of napkins. Justin spent $189 on 55 plates, 55 cups, and 6 packages of napkins.

Which system of linear equations could be used to determine the price of each type of party supply?

Answers

Answer: rate this 5 stars or your gay

Step-by-step explanation:

Just do it

which graph best represents y= -x^2*6x-1

Answers

Answer:

c is the correct answer

Step-by-step explanation:

Answer:

Correct Answer is B

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex: (−3,−10)

Focus: (−3,−[tex]\frac{39}{4}[/tex])

Axis of Symmetry: x = −3

Directrix: y = −[tex]\frac{41}{4}[/tex]

x               y

-5             -6

-4             -9

-3            -10

-2             -9

-1              -6


Find the missing angle.

Answers

Answer: 80

Step-by-step explanation:

Total amount in a triangle is 180

180 - 80 - 20 = 80

We know that 65% of all Americans prefer chocolate over vanilla ice cream. Suppose that 1000 people were randomly selected. What is the standard error of the sample proportion

Answers

its not 65% americans like all

The standard error of the sample proportion is 0.0002275

What is the standard error of the sample proportion?

The standard error of a proportion p in a sample of size n is given by:

[tex]S= \sqrt{\frac{p(1-p)}{n}}[/tex]

Now it is given that,

Number of people selected is 1000.

So, sample size, n 1000

Americans prefer chocolate = 65%

Thus, proportion, p = 0.65

So, standard error of a proportion is given as,

[tex]S= \sqrt{\frac{p(1-p)}{n}}[/tex]

[tex]S= \sqrt{\frac{0.65(1-0.65)}{1000}}[/tex]

[tex]S= \sqrt{\frac{0.65(0.35)}{1000}}[/tex]

[tex]S= \sqrt{\frac{0.2275}{1000}}[/tex]

[tex]S= 0.0002275[/tex]

this is the required standard error of the sample proportion.

Thus, the standard error of the sample proportion is 0.0002275.

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Consider the following equation: Log(yt )= 0.7 + 1.2log(st ) + 0.3log(st-1) + 0.2log(st-2) + 0.1log(st-3) What is the percentage increase in y given a permanent 1% increase in s? a. 1.2 b. 1.8 c. 2.5 d. 0.5

Answers

Answer:

a. 1.2

Step-by-step explanation:

From the given question, we will notice that the dependent variable, as well as the independent variable, are log-transformed in the model. Thus, a 1% increase in S will likely result in 1.2% increase in Y.

What are the like terms in: 4x+7-2x? I will give brainliest

Answers

Answer:

4x and -2x

Step-by-step explanation:

Answer:

The like terms are 4x and 2x.

Step-by-step explanation:

4x and 2x have x as their variable.

3415 base 7 ×(-432base 7)

Answers

Ignore the negative sign, since that only affects the sign of the final product

3415₇ × 432₇

You can compute the product by considering the digit expansion, by which I mean first expanding each number as sums of powers of 7:

3415₇ = 3000₇ + 400₇ + 10₇ + 5₇

(It's the same thing as writing, for example, the decimal 3415 as 3000 + 400 + 10 + 5, just in a different base.)

Similarly,

432₇ = 400₇ + 30₇ + 2₇

Then apply the distributive property:

= (3000₇ + 400₇ + 10₇ + 5₇) × (400₇ + 30₇ + 2₇)

= 3000₇ × (400₇ + 30₇ + 2₇)

… + 400₇ × (400₇ + 30₇ + 2₇)

… + 10₇ × (400₇ + 30₇ + 2₇)

… + 5₇ × (400₇ + 30₇ + 2₇)

= {12}00000₇ + {9}0000₇ + 6000₇

… + {16}0000₇ + {12}000₇ + {8}00₇

… + 4000₇ + 300₇ + 20₇

… + {20}00₇ + {15}0₇ + {10}₇

where I use the curly braces to indicate products (written in base 10) of digits that exceed 6. Anything in these braces needs to be properly converted to base 7. For example,

{12}₇ = 7 + 5 = 15₇

So you would have

= 1500000₇ + 120000₇ + 6000₇

… + 220000₇ + 15000₇ + 1100₇

… + 4000₇ + 300₇ + 20₇

… + 2600₇ + 210₇ + 13₇

Add everything up:

• In the 7⁰ place,

3₇

• In the 7¹ place,

1₇ + 1₇ + 2₇ = 4₇

• In the 7² place,

2₇ + 6₇ + 3₇ + 1₇ = {12}₇ = 15₇

• Carry the 1 (underlined). In the 7³ place,

2₇ + 4₇ + 1₇ + 5₇ + 6₇ + 1₇ = {19}₇ = 25₇

• Carry the 2. In the 7⁴ place,

1₇ + 2₇ + 2₇ + 2₇ = {7}₇ = 10₇

• Carry the 1. In the 7⁵ place,

2₇ + 1₇ + 5₇ + 1₇ = {9}₇ = 12₇

• Carry the 1. In the 7⁶ place,

1₇ + 1₇ = 2₇

So, we end up with

3415₇ × 432₇ = 22045543₇

and thus

3415₇ × (-432₇) = -22045543₇

Plzz help me thank you

Answers

It would be A. A squares width and length are the same so both the width and length can be represented with x. The problem asks to add 5 to the length and 3 to the width creating the expression (x+5)(x+3). That can then be multiplied out to get x^2+8x+15

Answer:

A

Step-by-step explanation:

Grace was given a large box of 54 chocolates for her birthday. If she eats exactly 6
chocolates each day, how many chocolates would Grace have remaining 6 days after
her birthday?

This is an arithmetic sequence question

Answers

It is 18 chocolates left! Hope it helped pls brainest:)

Write a word expression for 7 + 4a.

Answers

Answer:

The answer is Seven plus Four A.

Help with this problem

Answers

Answer:

18

Step-by-step explanation:

side length of triangle RST is 4 ✓ 3, 3 ✓ 3

So, area of triangle RST = 1/2 × 4✓ 3 × 3✓ 3 =18

sorry can u delete this my answer is wrong lol

The length of a room is 2 metre longer than its breadth if the area of the room is 63 square metre find the length and the breadth of the room​

Answers

Answer:

7 metre

Step-by-step explanation:

Let the breadth of the room is x.m. , then the length is (x+2).m. , accordingly:-

(x+2).x. = 63.

or, x^2 +2 x - 63 = 0.

or, (x + 9).(x -7) =0.

or, x = - 9 (not valid) , 7 .

Thus , the length = (x+2).m.= (7+2) = 9.m. , breadth = x .m. = 7.m. , Answer.

hope it helps! please mark me brainliest..

Merry Christmas good day

15r-15s=
can you help

Answers

Answer:

i dlnt know 15 I think not sure

Answer: 0 i guess i dont know

Step-by-step explanation:

Which of the lines graphed has a slope of 3 and a y-intercept of 2?

Answers

Answer:

A

Step-by-step explanation:

1. David has $40 to spend at the state fair. The entrance fee is $15 and each
ride costs $1.25. Write an equation that best represents the situation. Then
solve to find out how many rides he can go on.

Answers

Answer:

let he takes x ride in total

1

$15 + 1.25x = $40

on solving

1.25x = 40 -15

1.25x=25

x=25/1.25 = 20

He can go on 20 rides.

Step-by-step explanation:

A school cafeteria sold 1,280 slices of pizza the first week, 640 the second week, and 320 the third week. If this pattern continues, in what week will the cafeteria sell 40 slices? Explain how you got your answer.

Answers

If you look at the question, You would see a pattern. That pattern is the amount of slices in one week is divided by 2 the next week. So on the fourth week you would do 320/2 and get 160. if you keep carrying on the pattern yourself, you would do: 160/2 = 80. 80/2 = 40. And there's your answer. week 4 we had 160 slices sold. week 5 80 slices sold. Week 6 40 slices sold

Simplify this into your own words if you have to

Could someone answer these problems ?

Answers

Answer:

She received $18.11

Step-by-step explanation:

25.63-7.52= $18.11

Answer:

8. $18.11

10. 71

Step-by-step explanation:

25.63 - 7.52 = 18.11

90 - 19 = She is old. JK

90 - 19 = 71

What is the Constant of proportionality between 3 and 18.85

Answers

Answer:2.25

Step-by-step explanation:it just is

Select the common unit rate you would use to solve a problem involving the speed of a vehicle.

A: Earnings per week
B. Words per minute
C: Kilometers per hour
D. Miles per gallon

Please select the best answer from the choices provided.​

Answers

Answer:

I think option c is the best answer but i am not surely ok

Answer:here's the correct answer for this question

Step-by-step explanation:edge2023

Using the table, give the percentage associated with each unit of standard deviation in the standard normal curve to the
nearest hundredth.
х
Area, A(x) x
Area, A(x)
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
0.0793
0.1554
0.2257
0.2881
0.3413
0.3849
0.4192
0.4452
0.4641
0.4772
2.2
2.4
2.6
2.8
3.0
3.2
3.4
3.6
3.8
4.0
0.4861
0.4918
0.4953
0.4974
0.4987
0.4993
0.4997
0.4998
0.4999
0.5000
Standard Deviation Percentage Area
-1 to 0
81.85 %
O to +1
34.13 %

Answers

Answer:

Using the table, give the percentage associated with each unit of standard deviation in the standard normal curve to the

nearest hundredth.

х

Area, A(x) x

Area, A(x)

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

0.0793

0.1554

0.2257

0.2881

0.3413

0.3849

0.4192

0.4452

0.4641

0.4772

2.2

2.4

2.6

2.8

3.0

3.2

3.4

3.6

3.8

4.0

0.4861

0.4918

0.4953

0.4974

0.4987

0.4993

0.4997

0.4998

0.4999

0.5000

Standard Deviation Percentage Area

-1 to 0

81.85 %

O to +1

34.13 %

Step-by-step explanation:

Using the table, give the percentage associated with each unit of standard deviation in the standard normal curve to the

nearest hundredth.

х

Area, A(x) x

Area, A(x)

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

0.0793

0.1554

0.2257

0.2881

0.3413

0.3849

0.4192

0.4452

0.4641

0.4772

2.2

2.4

2.6

2.8

3.0

3.2

3.4

3.6

3.8

4.0

0.4861

0.4918

0.4953

0.4974

0.4987

0.4993

0.4997

0.4998

0.4999

0.5000

Standard Deviation Percentage Area

-1 to 0

81.85 %

O to +1

34.13 %

Using the table, give the percentage associated with each unit of standard deviation in the standard normal curve to the

nearest hundredth.

х

Area, A(x) x

Area, A(x)

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

0.0793

0.1554

0.2257

0.2881

0.3413

0.3849

0.4192

0.4452

0.4641

0.4772

2.2

2.4

2.6

2.8

3.0

3.2

3.4

3.6

3.8

4.0

0.4861

0.4918

0.4953

0.4974

0.4987

0.4993

0.4997

0.4998

0.4999

0.5000

Standard Deviation Percentage Area

-1 to 0

81.85 %

O to +1

34.13 %

The percentages associated with each unit of standard deviation are all 0, since the standard normal curve is symmetric and the area under the curve for each interval of the same length and equidistant from the mean is equal.

What is standard deviation?

A standard deviation is a measure of how far apart the data is from the mean.

The table shows the area under the standard normal curve for different values of x, where x is the number of standard deviations from the mean.

To find the percentage associated with each unit of standard deviation, we can subtract the area from the table for the lower value of x from the area for the higher value of x, and round the result to the nearest hundredth.

For example, the percentage associated with one unit of standard deviation, from -1 to 0 or from 0 to +1, is:

Area from -1 to 0: 0.3413

Area from 0 to +1: 0.3413 (symmetric curve)

Percentage: 0.3413 - 0.3413 = 0 (rounded to nearest hundredth)

The percentage associated with two units of standard deviation, from -2 to 0 or from 0 to +2, is:

Area from -2 to 0: 0.4772

Area from 0 to +2: 0.4772 (symmetric curve)

Percentage: 0.4772 - 0.4772 = 0 (rounded to nearest hundredth)

Similarly, we can find the percentages associated with other units of standard deviation:

From -3 to 0 or from 0 to +3: 0.4987 - 0.4987 = 0

From -4 to 0 or from 0 to +4: 0.4999 - 0.4999 = 0

Therefore, because the standard normal curve is symmetric and the area under the curve for each interval of the same length and equidistant from the mean is equal, the percentages associated with each unit of standard deviation are all zero.

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Just Some e-dgenuity i need to get done

Answers

Answer:

Check mark number

2

4

5

What’s the formula for the sequence 9, 14, 19, 24, ...?

Answers

Answer:

add 5

Step-by-step explanation:

Answer:

+5

Step-by-step explanation:

It keeps adding five so,

14, 19, 24, 29, 34,39,44...

Help plsssssss............

Answers

Answer is B. x=9

12x-18=90
+18 +18
12x=108/12
x=9
the answer plus the work is in the picture im just writing this bc i have to fill out 20 characters

What is the answer 1.4 ÷ 0.7 =

Answers

Answer: 2

Step-by-step explanation: 0.7 times 2 is 1.4

Answer:

2

Step-by-step explanation:

7 1/2÷3/4 Please help this mom out!!

Answers

Answer:

10

Step-by-step explanation:

give me brainly

am i correct? let me know

Please Help!!! I don't understand :(

Answers

The answer is Friday! Take a look at the High and Low, and then find which one has the greatest difference. ((Brainlest?))
The answers are Tuesday and Friday

Calculate the minimum sampling rate necessary to digitize the track with high fidelity (i.e. so that it sounds like it does when you hear the friend play it in person) for storage on a hard drive.

Answers

Step-by-step explanation:

Calculate the minimum sampling rate necessary to digitize the track with high fidelity for storage on a hard drive.

[tex]f_{z} &=1.2 \times 2 \mathrm{~W}[/tex]

[tex]=1.2 \times 2 \times(15 \mathrm{KHz})[/tex]

[tex]=36 \mathrm{kHz}[/tex]

Therefore, the minimum sampling rate necessary to digitize the track with high fidelity for storage on a hard drive [tex]\mathrm{}$ is $36 \mathrm{kHz}[/tex]

Consider the experiment of rolling two standard (six-sided) dice and taking their sum. Assume that each die lands on each of its faces equally often. We consider the outcomes of this experiment to be the ordered pairs of numbers on the dice, and the events of interest to be the different sums. (a) How many outcomes does this experiment have

Answers

Answer:

36

Step-by-step explanation:

Given that:

2 standard six sided dice are rolled :

Die 1 = 1, 2, 3, 4, 5, 6

Die 2 = 1, 2, 3, 4, 5, 6

Outcome = ordered pair of Number on the two dice

Event = different sum of the ordered pair of numbers.

The number of outcomes in the experiment = the sample space =) number of Faces)^number of dies

= 6^2

= 36 different outcomes

Juan rides his bike 97 miles to and from school each month.

Part A
How can you use compensation to find the number of miles he rode in 6 months?
A.


97 is close to 100, so multiply 6 × 100 and then add 6 × 3.
B.


97 is close to 100, so add 6 + 100 and then multiply by 6 + 3.
C.


97 is close to 100, so add 6 + 100 and then add 6 × 3.
D.


97 is close to 100, so multiply 6 × 100 and then subtract 6 × 3.

Answers

Answer:

              cvfgrtyukjmn

Step-by-step explanation:

Other Questions
HELP ASAP I WILL GIVE BRAINLIEST How did the American Revolutiondevelop the concept of natural rights? Read the excerpt from "The Role of Social Media in the Arab Uprisings" by Heather Brown, Emily Guskin, and Amy Mitchell.In July 2012 a report was published by the United States Institute of Peace. . . .. . . The study suggests that the importance of social media was in communicating to the rest of the world what was happening on the ground during the uprisings. . . .Data from the Pew Research Centers Global Attitudes Project at least somewhat supports this conclusion with its findings that the majority of Egyptians are not online. Nearly two-thirds (65%) of the total population do not use the internet. When looking specifically at those with a college education, the use of social media for obtaining political information is more prevalent than in other segments of the population. Though most of the country is disconnected from the internet, 84% of those who are online say they visit social networking sites for news about Egypts political situation. These findings point to social medias important role in spreading information, but do not necessarily indicate that social media was a mobilizing force in the uprisings.Passing along information is an important part of the news process. Earlier [Project for Excellence in Journalism] research finds the role of Twitter in disseminating breaking news is not limited to the Arab uprisingsthe death of Whitney Houston, for example, was announced on Twitter 55 minutes before the [Associated Press] confirming the story.What types of evidence do the authors use in this excerpt? Select three options.research related to the popular use of social media in Egypt.a statistic supporting the claim that social media use in Egypt is not widespread.testimony about how social media use has changed in Egypt.an example that compares how traditional media and social media handle a news story.data related to the decline of social media use after the Arab Spring. Solve for t: t/4 +8 greater than -10need the answer now is pls hurry and can some give points pls A. t is greater or equal to 72B.t is greater or equal to -72C. t Is than or equal to -72D. t is than or equal to 72 Stewie wants to rent a moving truck.Suppose company a charges a rate of $40 per day band company b charges a $60 fee plus has a rate of $20 per day.For what number of days is the cost same? Which type of plant is small and lives in a wet environment? club moss, hornwort, fern, horsetail PLS HELP ASAP Please help:)........... A human cell in prophase of mitosis can be distinguished from a human cell in prophase I of meiosis by the presence of (A) paired homologous chromosomes in the meiotic cell. (B) kinetochores in the mitotic cell (C) a spindle in the mitotic cell (D) twice as many chromosomes in the mitotic cell (E) half as many chromosomes in the meiotic cell . Mrs. Nunn pours 3 juice boxes into a bowl to make punch. Each juice box holds 236 milliliters. How much juice does Mrs. Goldstein pour into the bowl? * A truck driver is able to move 48 kg in 20 weeks. Find the unit rate of how many kilograms the truck driver is able to move per week. Round to the nearest tenth. At night, the demand for electricity supplied by a fission nuclear reactor decreases. How is the fission nuclear reaction controlled to avoid overproduction of electricity? The temperature of the reactor is lowered because high temperature and pressure are needed. The temperature of the reactor is raised because the reaction slows down at higher temperatures. The exposure between the fuel rods and a neutron-absorbing material is increased. The exposure between the fuel rods and a neutron-absorbing material is reduced. okay last one haha i promise Find the slope of the line segment that contains the two points (-18,-20) and (-18,-15)A)none B)36/35C)-2/5D)-5E)undefined Leicester City Fanstore (LCF) will be selling the "new season jersey" for the 2018-2019 season. The regular price of the jersey is $80. Each jersey costs $40. Leftover jerseys will be sold at the end of the season (or later) at $30. Since jerseys are produced in China and lead time is long, Puma wants LCF to decide the quantity right now (December 2017). a. After some analysis using historic data, LCF expects that the demand will follow a Normal distribution with a mean 40,000 and a standard deviation of 8,000 due to uncertainty in team performance. 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