Sandra spotted the sailboat from the shore and measured the angle from the waterline to the top of the boats mast to be 7° if the top of the mask is 23 feet above the water how far is the middle of the sailboat from the shore? Estimate your answer to the nearest tenth.

Answers

Answer 1

Answer:

The middle of the sailboat is approximately 268.8 feet from the shore.

Step-by-step explanation:

Let the distance from shore to the middle of the boat be represented by x, the angle of elevation of Sandra from the shore to the top of the boat mast  is 7°. Applying the required trigonometric function to this question, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan 7° = [tex]\frac{23}{x}[/tex]

⇒  x = [tex]\frac{23}{Tan 7^{0} }[/tex]

       = [tex]\frac{23}{0.12279}[/tex]

      = 268.7515

∴ x = 268.8 feet

The middle of the sailboat is approximately 268.8 feet from the shore.


Related Questions

In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer. Radhika answered all the questions and scored 30 marks though she got 10 correct answers. How many incorrect answers had they attempted?

Answers

Answer:

10 incorrect answers

Step-by-step explanation:

From the information given, you can say that 5 marks for the number of correct answers minus two marks for the number of incorrect answers is equal to 30 that is the score that Radhika got:

(5*10)-2x= 30, where x is the number of incorrect answers.

Now, you can solve for x:

50-2x=30

50-30=2x

20=2x

x=20/2

x=10

According to this, the answer is that they attempted 10 incorrect answers.

Which equation represents a population of 300 animals that decreases at an annual rate of 23%? A. p=300(1.23)t B. p=300(1.77)t C. p=300(0.77)t D. p=300(0.23)t

Answers

For a given initial quantity A, a decrease of x% can be written as:

A - A*(x%/100%) = A*(1 - x%/100%)

With this, we need to construct an exponential decrease equation for the given situation, and we will find that the equation is:

P(t) = 300*(0.77)^t

Now let's see how we found that.

In this case, we know that:

The initial number of animals is 300.

They decrease at an anual rate of 23%.

This means that after the first year, the population will be:

P(1) = 300 - 300*(23%/100$) = 300*( 1 - 0.23) = 300*(0.77)

After another year, the population decreases again, so we get:

P(2) = 300*(0.77) - 300*(0.77)*(23%/100$) = 300*(0.77)^2

Here we already can see the pattern, the population in the year t, we will get:

P(t) = 300*(0.77)^t

Then we can see that the correct option is C.

If you want to learn more, you can read:

https://brainly.com/question/16993154

a car traveling at 87 km/h and a bus leave a toll booth at the same time. twenty minutes later the bus is 3 km farther from the toll booth than the car. what is the average speed of the bus

Answers

Answer:

96 km/h

Step-by-step explanation:

Speed of car = 87 km/h

Time = 20 minutes = [tex]\frac{20}{60} = \frac{1}{3}\ hrs[/tex]

Distance traveled by bus = 3 km more than that of traveled by car

To find

Average speed of bus = ?

Solution:

Formula for distance traveled is given as:

[tex]Distance = Speed \times Time[/tex]

So, distance traveled by car in 20 minutes = 87 [tex]\times \frac{1}3[/tex] = 29 km

As per given statement, distance traveled by bus = 29 + 3 = 32 km

Time taken = [tex]\frac{1}{3}\ hrs[/tex]

Using the formula:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

Speed of the bus =

[tex]\frac{32}{\frac{1}3} = \bold{96\ km/h}[/tex]

Complete the statements. f(4) is . f(x) = 4 when x is

Answers

Answer:

x=4

Step-by-step explanation:

it's a identity function because it is in the form of f(x)= x ,so the value of x is 4.

One stool rocks slightly from side to side on your kitchen floor. Which of the two stools could this possibly be? Explain your answer Choices: 3 legged stool, 4 legged stool

Answers

Answer:

The four legged stool is the one that rocks slightly from side to side. The three legged stool does not.

Step-by-step explanation:

The four legged stool is the one that rocks slightly because the three legs determine a plane, and the three legs are stuck on that single plane.

The diagonal of a square is 8 cm. What is the length of the side of this square? Give your answer as an exact surd in its simplest form.

Answers

Answer:

4[tex]\sqrt{2}[/tex] cm

Step-by-step explanation:

The diagonal divides the square into 2 right angles with legs s and the diagonal as the hypotenuse.

Using Pythagoras' identity in the right triangle , then

s² + s² = 8²

2s² = 64 ( divide both sides by 2 )

s² = 32 ( take the square root of both sides )

s = [tex]\sqrt{32}[/tex] = 4[tex]\sqrt{2}[/tex]

Answer:

Given :

↠ The diagonal of a square is 8 cm.

To Find :

↠ The length of the side of square.

Using Formula :

Here is the formula to find the side of square if diagonal is given :

[tex]\implies{\sf{a = \sqrt{2} \dfrac{d}{2}}} [/tex]

Where :

➺ a = side of square ➺ d = diagonal of square

Solution :

Substituting the given value in the required formula :

[tex]{\dashrightarrow{\pmb{\sf{ \: a = \sqrt{2} \dfrac{d}{2}}}}}[/tex]

[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \dfrac{8}{2}}}}[/tex]

[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \cancel{\dfrac{8}{2}}}}}[/tex]

[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times 4}}}[/tex]

[tex]{\dashrightarrow{\sf{ \: a = 4\sqrt{2}}}}[/tex]

[tex]{\dashrightarrow{\sf{\underline{\underline{\red{ \: a = 5.65 \: cm}}}}}}[/tex]

Hence, the length of the side of square is 5.6 cm.

[tex]\underline{\rule{220pt}{3pt}}[/tex]

2
3
4
5
Which expression is equivalent to (f + g)(4)?
f(4) + g(4)
f(x) + g(4)
f(4 +
| + g(4))
4(f(x) + g(x))

Answers

Answer:

  (f + g)(4) = f(4) + g(4)

Step-by-step explanation:

  (f + g)(4) = f(4) + g(4)

___

The notation (f+g)(x) means that the value of f(x) is added to the value of g(x).

2x+6y=7draw graph and check x=1,y=2 is solution of this equation​

Answers

Answer:

The solution in the photo

I hope it helps ^_^

Given that (8,7) is on the graph of f(x), find the corresponding point for the function f(x)+4

Hurry ! I need help

Answers

Answer:

( 8,11)

Step-by-step explanation:

When x = 8 the output is 7

The new function

f(x) +4

when x = 8

The output is f(8) +4= 7+4 = 11

( 8,11)

please answer the question in the photo​

Answers

Answer:

b

Step-by-step explanation:

i honestly dont know what a and c are but cytokinesis is the division of the cytoplasm eg in binary fission and the question is on chromatids I chose b since in meiosis is where homologous chromosomes fail to separate however this can happen if it's the second phase of meiosis but since in mitosis in anaphase is where sister chromatids can fail to separate I chose it

Mrs. Galindo decided to make Kool-Aid to serve along with the pizza at the Future Farmers of America party. The directions said to mix a half of a scoop of powdered drink mix with two gallons of water to make each pitcher of Kook-Aid. One of Mrs. Galindo's students said she will mix 4 scoops with 2 gallons of water to make 4 pitchers. Which choice best explains whether the student is correct and why. Question 1 options: The direction's constant of proportionality is 4. k = 2/0.5 There are 4 gallons of water per one scoop. The student is correct because 4 pitchers = 4 scoops times 2 gallons The direction's constant of proportionality is 4. k = 2/0.5 There are 4 gallons of water per one scoop. The student is incorrect because 4 pitchers does not equal 4 scoops times 2 gallons The direction's constant of proportionality is 0.25 k = 0.5/4 There is a quarter of a gallon of water per one scoop The student is correct because 4 pitchers = 4 scoops times 2 gallons The student is incorrect because 4 pitchers does not equal 4 scoops times 2 gallons

Answers

Answer:

The direction's constant of proportionality is 4. k = 2/0.5 There are 4 gallons of water per one scoop. The student is incorrect because 4 pitchers does not equal 4 scoops times 2 gallons

Step-by-step explanation:

Direction :

1/2 of a scoop + 2 gallons = 1 pitcher

Mrs. Galindo's students:

4 pitcher = 4 scoops + 2 gallons of water

Correct mixture for 4 pitchers:

1/2 scoop + 2 gallons of water =1 pitcher

For 4 pichers, multiply both sides by 4

1/2(4) scoops + 2(4) gallons of water =4 pitchers

4/2 scoops + 8 gallons of water =4 pitchers

2 scoops + 8 gallons of water =4 pitchers

The direction's constant of proportionality is 4. k = 2/0.5 There are 4 gallons of water per one scoop. The student is incorrect because 4 pitchers does not equal 4 scoops times 2 gallons

Al’s Produce Stand Al’s Produce Stand sells 6 ears of corn for $1.50. Barbara’s Produce Stand sells 13 ears of corn for $3.12. Write two equations, one for each produce stand, that model the relationship between the number of ears of corn sold and the cost. Then, use each equation to help complete the tables below.

Answers

Answer:

5.9998

Step-by-step explanation:

because thats the answer

Help me please! I’ll give brainliest

Answers

Answer:

200-150 equals 50

Answer:

50 N

Step-by-step explanation:

It is 50 N because person A is pushing with 200 N, and person B is pushing with 150 N. But they are both pushing at the same time. But since person A is pushing with more force with 200 N than person B with 150 N, that only leaves 50 N. So basically person A is pushing with 50 N.

Please solve.
Essie likes plants. She never misses a chance to go to the nursery section in Home Depot. Essie has a total of $65.50 to spend on her trips to the store over the next three days. On her second trip to the nursery she spent $15.50 dollars more than what she spent on the first trip to the store. On her third trip to the nursery she spent two times much as what she spent on her first trip to the nursery. How much did she spend on her first trip to the nursery? Create a linear equation to model a real-world situation and solve the equation to find the solution


Answers

Answer:

Step-by-step explanation:

Let $ x = the amount spent on the first day

The amount spent on the second day = x + 15.50

The amount spent on the third say = 2*x = 2x

Total amount Essie spent on 3 days = $65.50

x + (x +15.50) + 2x = 65.50

x + x + 15.50 + 2x = 65.50

Add like terms

4x + 15.50 = 65.50

Subtract 15.50 from both sides

4x = 65.50 - 15.50

4x = 50

Divide both sides by 4

x = 50/4

x = $ 12.50

The amount spent on the first day = $ 12.50

The amount spent on the second day = 12.50 + 15.50 = $ 28

The amount spent on the third day= 12.50 * 2 = $ 25

I am an odd two-digit number. The sum of my two digits is 10 and the difference of my two digits is 0. What number am I?

Answers

The answer is 55 I know this because 5 + 5 is 10 and 5 - 5 is 0. Therefor the answer is 55. HOPE THIS HELPS!

The projected worth (in millions of dollars) of a large company is modeled by the equation w = 236(1.06) t. The variable t represents the number of years since 2000. What is the projected annual percent of growth, and what should the company be worth in 2011? A. 6%; $448.00 million B. 16%; $474.88 million C. 16%; $250.16 million D. 6%; $422.64 million

Answers

Answer:

  A.  6%, $448 million

Step-by-step explanation:

a) The base of the exponential term is 1.06, so the projected annual growth is 1.06 -1 = .06 = 6%

__

b) Filling in 11 for t, we find the projected worth to be ...

  w = 236(1.06^11) ≈ $448 . . . million

Square root & simplifying radicals
√30

Answers

Answer:

√30 =

5.4772255751

It can be simplified as this only, not more

Solve for x. PLZ ANSWER FAST

Answers

Answer:

No solutions.

Step-by-step explanation:

7(2) + 39 > 53 and 16(2) + 15 > 31

14 + 39 > 53 and 32 + 15 > 31

53 >_ 53 but, 47 > 31 :/

So even with one the first equation is smaller.

find the slope of the line that contains (-1,2) and (2,2)

Answers

Answer:

[tex]slope=0[/tex]

Step-by-step explanation:

Use the slope formula:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}[/tex]

Rise over run is the change in the y-axis over the change in the x-axis from one point to the other. This is also known as the "slope".

Insert the values:

[tex](-1_{x1},2_{y1})\\\\(2_{x2},2_{y2})\\\\\frac{2-2}{2-(-1)}\\\\\frac{2-2}{2+1}\\\\[/tex]

Simplify:

[tex]\frac{2-2}{2+1}=\frac{0}{3} =0[/tex]

The slope of the line is 0. This means that the two points lie on the same horizontal line.

:Done

At an elite baseball camp, 60% of players can bat both right-handed and left-handed. If 25% of the players who bat left-handed do not bat right-handed, what is the probability that a player selected at random does not bat left-handed?

Answers

Answer:

The probability that a player selected at random does not bat left-handed is 20%.

Step-by-step explanation:

Assume that there are a total of 100 baseball players at an elite baseball camp.

The information provided is:

60% of players can bat both right-handed and left-handed. 25% of the players who bat left-handed do not bat right-handed.

That is, the number of players can bat both right-handed and left-handed is,

n (L and R) = 60.

Now, if 25% of the players who bat left-handed do not bat right-handed, then 75% of all left-handed players can also bat right-handed.

⇒ n (L and R) = n (L) × 75%

            60     = n (L) × 0.75

           n (L)    =  60/0.75

           n (L)    = 80

So there are 80 left handed batters.

Compute the number of only left handed batters as follows:

n (Only L) = n (L) × 25%

                = 80 × 0.25

                = 20

So there are 20 only left handed batters.

Compute the number of only right handed batters as follows:

Total = n (Only L) + n (Only R) + n (L and R)

 100 = 20 + n (Only R) + 60

n (Only R) = 20

Thus, the probability that a player selected at random does not bat left-handed is 20%.

Mr. Clifton was preparing for his upcoming birthday party. He ordered 51 white balloons and 47 red balloons. As he walked to his car 12 balloons flew away! With the remaining balloons, he mixed the colors to create bunches of 3 to decorate his party space. How many full bunches did Mr. Clifton have to decorate his party space?

Answers

Answer:

28 i think

Step-by-step explanation:

51+47=98

98-12 the ones that flew away that takes it to 86

86/3 the 3 balloons buntch than is 28

p.s. i mght of got some equations wrong but this is what i got

Which expression is not equivalent to the other expressions?

-6(2x-4)
-(12x-6)+18
-3(4x-3)+15
-4(3x+6)

Answers

It’s -4(3x+6) because if you solve it you get a different answer then all of them all over them were the same answer except -4(3x-6)

Which expression converts 100 inches per minute to feet per minute?


Answers

Answer:

C 100 inches/ minute * 1 ft/ 12 inches

Step-by-step explanation:

100 inches/ minute

We need to convert inches to ft

12 inches = 1 ft

100 inches/ minute * 1 ft/ 12 inches

7. The annual interest rate is 20%. The balance after the grace period was $15,000. A payment of $2,500 was made on the 3rd day. What is the interest for the month?

Answers

Answer:

Interest (I) = $18

Step-by-step explanation:

$15,000 by the end of grace period

$2,500 payment was made by the 3rd day

$15,000/$2500=6

6×3=18

I = PRT/100

I = (15,000 × 20% × 18 days)/100

I = {15,000 × 0.2 × (18/30)}/ 100

I= {15,000 × 0.2 × 0.6}/ 100}

I= {1800}/ 100}

I= {18}/ 1}

Interest (I) = $18

Two angles are complementary. One angle's measure is 3 more than 9
times the other angle. What is the measure of each angle? Write each
angle's measure separately. ​

Answers

Answer:

The measure of one angle is 81.3° and the other angle is 8.7°.

Step-by-step explanation:

We are given that two angles are complementary. One angle's measure is 3 more than 9  times the other angle.

Let the measure of one angle be 'x' and the measure of other angle be 'y'.

So, according to the question;

The first condition states that two angles are complementary, this means that the sum of both angles must be equal to 90°, i.e;

                                 x + y = 90°

                                 x = 90° - y  ---------------- [equation 1]

The second condition states that One angle's measure is 3 more than 9  times the other angle, i.e;

                             x = 3 + 9y ------------ [equation 2]

Now, both the equations we get;

90 - y = 3 + 9y

9y + y = 90 - 3

10y = 87

[tex]y=\frac{87}{10}[/tex] = 8.7°

Now, putting the value of y in equation 1 we get;

                x = 90° - y

                x = 90° - 8.7° = 81.3°

Hence, the measure of one angle is 81.3° and the other angle is 8.7°.

Change histul
bols
A store pays two fees when a customer uses a credit card to make a purchase. These fees include:
A flat fee of $0.15
A processing fee equal to 1.75% of the dollar amount of the purchase
There is no sales tax on the purchase.
What is the amount, in dollars and cents, the store pays in fees for a $60.00 purchase by a customer using a credit
card?**

Answers

Answer:

So the amount to pay is $1 and 20 cents ( or a total of 120 cents)

Step-by-step explanation:

Here, we want to know the amount paid as fees for a $60 purchase given that the store has to pay a flat fee of $0.15 and a processing fee of 1.75% of the amount of purchase.

Firstly, we establish that there are two fees to be paid.

We already have a fee of $0.15

The other fee to pay is 1.75% of $60

Mathematically that would be;

1.75/100 * 60 = $1.05

Thus, the fees to be paid on the $60 purchase is $1.05 + $0.15 = $1.20

What is x
I dont get it

Answers

Answer:

x = 35

Step-by-step explanation:

The angles of a triangle add to 180 degrees

103+ 42 + BCA = 180

BCA = 180 -103 -42

BCA =35

BCA and x are corresponding angles and corresponding angles are equal if the lines are parallel

The map of a biking trail is drawn on a coordinate grid. The trail starts at P(−2, 1) and goes to Q(6, 1). It goes from Q to R(6, −3) and then to S(9, −3). What is the total length (in units) of the biking trail? 11 15 18 19

Answers

Answer:

19

Step-by-step explanation:

Answer:

Hey there!

We use the distance formula to find the distances between each of these points.

From -2, 1 to 6, 1 is a total of 8 units.

From 6, 1 to 6, -3 is a total of 4 units.

From 6, -3 to 9, -3 is a total of 3 units.

8+4+3=15 units.

Let me know if this helps :)

for the function y= -2+5 sin [pi/12(x-2)], what is the maximum value

Answers

Answer:

The answer is 0. There is no minum or maxium vaule, it equals 0.

Step-by-step explanation:

NEED HELP!

Create a table of points from the equation f (x)= 3x^2 -8x + 2

Answers

Answer:

The second table

Step-by-step explanation:

To create table of points using the function, [tex] f(x) = 3x^2 - 8x + 2 [/tex], substitute the value of x in each case.

Thus,

For x = -1,

[tex] f(-1) = 3(-1)^2 - 8(-1) + 2 = 3(1) + 8 + 2 = 3 + 8 + 2 [/tex]

[tex] f(-1) = 13 [/tex]

For x = 0

[tex] f(0) = 3(0)^2 - 8(0) + 2 = 3(0) - 0 + 2 = 0 - 0 + 2 [/tex]

[tex] f(0) = 2 [/tex]

For x = 1,

[tex] f(1) = 3(1)^2 - 8(1) + 2 = 3(1) - 8 + 2 = 3 - 8 + 2 [/tex]

[tex] f(1) = -3 [/tex]

For x = 2,

[tex] f(2) = 3(2)^2 - 8(2) + 2 = 3(4) - 16 + 2 = 12 - 16 + 2 [/tex]

[tex] f(2) = -2 [/tex]

For x = 3,

[tex] f(3) = 3(3)^2 - 8(3) + 2 = 3(9) - 24 + 2 = 27 - 24 + 2 [/tex]

[tex] f(3) = 5 [/tex]

The second table is the correct answer.

Other Questions
What three compromises were made athe Constitution? Which is an example of dramatic irony in Act V, scene iii of Romeo and Juliet? Two automobiles are equipped with the same singlefrequency horn. When one is at rest and the other is moving toward the first at 20 m/s , the driver at rest hears a beat frequency of 9.0 Hz.Requried:What is the frequency the horns emit? Three friends have been working in a garden. One has worked for 11 hours and the other 2 worked for 7 hours. The garden owner paid $500 for the work that was done. How should this money be divided fairly between the three friends? Your task is to write and test a function which takes one argument (a year) and returns True if the year is a leap year, or False otherwise. The seed of the function is already sown in the skeleton code in the editor. Note: we've also prepared a short testing code, which you can use to test your function. The code uses two lists - one with the test data, and the other containing the expected results. The code will tell you if any of your results are invalid. The economy of the southern colonies is based on what? Nine and one half less than four and one half times a number is greater than 62,5. Which of the following representsthe solution set of this problem?O (16,400)O (-16,400)o (-0,16)o (-00,-16) Using the information below for Laurels Company; determine the cost of goods manufactured during the current year: Direct materials used $6,100 Direct Labor 8,100 Total Factory overhead 6,200 Beginning work in process 4,100 Ending work in process 6,200a. $19,700b. $16,900c. $18,300d. $12,800e. $14,800 Which of the following is NOT characteristic of the Gothic style? Suppose that in a month the price of oranges increases from $.75 to $1. At the same time, the quantity of oranges demanded decreases from 100 to 80. The price elasticity of demand for oranges (calculated using the initial value formula, also known as the simple elasticity formula) is:_______A 0.6. B. 0.75. C. 025. D. 20. (-2 + 1) + 5(12 : 3) - 9. Assume that females have pulse rates that are normally distributed with a mean of =73.0 beats per minute and a standard deviation of =12.5 beats per minute. Complete parts (a) through (c) below.a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 76 beats per minute.b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 76 beats per minute.c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?A. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size.B. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size.C. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size.D. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. 1. Escribe las razones de los siguientes enunciados: a. En una clase de un colegio cada pelota es utilizada por cada equipo de cinco nios, o sea que tenemos cinco alumnos por cada pelota de ftbol. b. En un estacionamiento hay coches de fbricas asiticas y de fbricas americanas. En total hay 3060 coches, de los cuales, 1740 son de fabricacin asitica y el resto, 1320, son de fabricacin americana. (es urgentee.. Es para una tarea) In a criminal trial, the lawyer trying to convince a jury to deliver a guilty verdictis called the:A. mediatorB. prosecutor.C. defense attorney.D. plaintiff. what is the symbol of mecury Which of the following would be an example of direct finance? Group of answer choices A saver deposits money into a credit union. A saver buys a bond a corporation has just issued so it can purchase capital. None of the above is correct. A saver buys shares in a mutual fund. What is the smallest value of n for which the wavelength of a Balmer series line is less than 400 nm Select the correct graph. It takes 250 \text{ g}250 g250, start text, space, g, end text of pasta and 240 \text{ ml}240 ml 240, start text, space, m, l, end text of sauce to make one batch of spaghetti, and it takes 600 \text{ g}600 g600, start text, space, g, end text of pasta and 700 \text{ ml}700 ml 700, start text, space, m, l, end text of sauce to make one batch of lasagna. What was one way President Nixon wanted to overcome economic challenges? paying the cost of foreign wars protecting the value of the US dollar helping companies affected by environmental regulations providing college scholarships to train women for the workforce