An operator at the top of a lighthouse sights a sailboat. The point from which the sighting is made is 25 m above sea level. The angle of depression of the sighting is 10 degrees. How far is the boat from the base of the lighthouse?

Answers

Answer 1

Answer:

141.78 m

Step-by-step explanation:

Let d = distance of boat from the base of the lighthouse

Tan 10 = 25/d

d tan 10 = 25

d = 25/tan 10

d = 141.78 m


Related Questions

help with this question pleaseee !!

Answers

I can’t see the picture I am sorry

water from a tap flows into a bath at rate of a 750 ml/s. how long does it take to fill the bath with 180 L of water​

Answers

Answer:

750 equals to 1081 after that divide 1081 by 750 then you will get an answer.


PLSSSSSSSS SOMEONE HELPPPP

Answers

Answer:

(-2, -4)

Step-by-step explanation:

The awnser is -2,-4

Last season the girls' volleyball team had 5 seventh-grade students and 4 sixth-grade students. What is the ratio of sixth-grade students to seventh-grade students on the volleyball team? A 4:5 B 4:9 C 5:4 D5:9

Answers

Answer:

A) 4:5

Step-by-step explanation:

A) 4:5

B) 4:9

C) 5:4

D) 5:9

If there are 4 sixth grade students, you can already cross off D because there is no 4 as an option. There are 5 seventh grade students, you can cross off B because there's no 5. So now it's down to 4:5 or 5:4. Since it wants the ration of sixth to seventh, it's 4 to 5.

Hence, the ratio is 4:5, answer A

Hope this helps :)

Stay Cold,

Brook

Which equation represents a circle with a center at -3, -5) and a radius of 6 units?
O (x - 3)2 + (-5)2 = 6
0 (x - 3)2 + (-5)2 = 36
O (x + 3)2 + (y + 5)2 = 6
(x + 3)2 + (y + 5)2 = 36
Mark this and retum
Save and Exit
Next.fm
Submit

Answers

Answer:

(x+3)²+(y+5)² = 36

Step-by-step explanation:

The general equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the centre of the circle

r is the radius of the circle

Given

Centre (-3, -5)

a = -3 and b = -5

radius r = 6units

Substitute

(x-a)²+(y-b)² = r²

(x-(-3))²+(y-(-5))² = 6²

(x+3)²+(y+5)² = 36

hence the required equation is (x+3)²+(y+5)² = 36

The equation of a circle that represents a circle with a center at (-3, -5) and a radius of 6 unit is (x + 3)² + (y + 5)² = 36

Equation of a circle

The general equation of a circle is expressed as follows:

(x-a)²+(y-b)² = r²

where

r = radius of the circlea and b are the centre of the circle

Therefore,

a = -3

b = -5

r = 6

Hence,

(x - (-3))² + (y - (-5))² = 6²

(x + 3)² + (y + 5)² = 36

learn more on circle here: https://brainly.com/question/22718701

#SPJ5

The function C(x) = -2x2 + 38x + 40 models the sales, in hundreds of

millions of dollars, of compact discs for years since 1990.

Answers

Question:

Rewrite the function to reveal when sales of compact discs and $0.

Answer:

The cost in 2010 is $0

Step-by-step explanation:

Given

[tex]C(x) = -2x^2 + 38x + 40[/tex]

Required

Find x when [tex]C(x) = 0[/tex]

This gives:

[tex]C(x) = -2x^2 + 38x + 40[/tex]

[tex]-2x^2 + 38x + 40=0[/tex]

Expand

[tex]-2x^2 + 40x -2x+ 40=0[/tex]

Factorize:

[tex]-2x(x - 20) -2(x- 20)=0[/tex]

[tex](-2x - 2)(x- 20)=0[/tex]

Solve for x

[tex]-2x-2=0\ or\ x - 20 = 0[/tex]

[tex]x = -1\ or\ x = 20[/tex]

x represents time.  So, it cannot be negative.

[tex]x = 20[/tex]

20 years after 1990 is: 2010. Hence, the cost in 2010 is $0

The curb weight of a new car is 3,347 pounds. How much does the car weigh?

Answers

Answer: 3,347 pounds

Step-by-step explanation:

Curb weight is simply the weight of a car with no passengers, cargo, or anyting other than the standard base model options.

Basically it's the weight of a base model car sitting on the dealership lot.  Curb weight would be different if ANYTHING is added to the base model car such as a passenger, any cargo, or any upgrades aftermarket or otherwise.

Answer:

Not sure if this the correct type of way your looking but its between 1 and 2 tons which is 1000

Step-by-step explanation:

I think...

PLEASE HELP ASAP ILL AWARD BRAINIEST

Answers

Answer:

Сен қазақ сыңба?

Step-by-step explanation:

қазашшаайтшыааа

hey what's the answer ?

[tex] \sqrt{36 \times 2 \times 2 \times 3 \times 3} [/tex]

Answers

Step-by-step explanation:

36 is your answer

I hope.it helps mate

have a nice day

#Captainpower

which expression is equivalent to (6 •p) + 3 ?​

Answers

Answer:

3+(p.6)

Step-by-step explanation:

Answer:

3 + (p • 6)

Step-by-step explanation:

A movie theater gave away coupons for smallmediumand large drinks. Customers could randomly pull a coupon from a box that held 75 small drink coupons , 125 drink coupons , and 150 large drink coupons . What is the probability that the first customer to pull a coupon from the box got a medium drink coupon ?

Answers

Answer: 35.7%

Step-by-step explanation:

First find out the total number of all coupons in the box.

= 75 + 125 + 150

= 350 drink coupons

There are 125 medium coupons so the probability that the first customer will pick a medium one is:

= Number of medium coupons / Number of total coupons

= 125 / 350

= 35.7%

What is 12x3 – 9x2 – 4x + 3 in factored form?

(
x2 –
)(
x –
)

Answers

Answer:

(√3·x - 1)(√3·x + 1)(4x - 3)

Step-by-step explanation:

Note that the last two coefficients are -4 and +3, and the associated factor is (4x - 3).

The first two terms are

12x^3 - 9x^2, which become 3x(4x^2 - 3x) through factoring and then 3x^2(4x - 3).  

Therefore, 12x3 – 9x2 – 4x + 3 can be rewritten as:

                   (4x - 3)(3x^2 - 1).  

It's possible to factor 3x^2 - 1, even though 3 is not a perfect square.  Write 3x^2 - 1 as (√3·x - 1)(√3·x + 1)    

Then 12x3 – 9x2 – 4x + 3 = (√3·x - 1)(√3·x + 1)(4x - 3)

Answer:

( 3 x2 –  1 )( 1  ⇒ 4x –  3 )

Step-by-step explanation:

I did it lol

PLEASE HELP!! I'll make brainliest ​

Answers

Sorry people send you links instead of actually helping you

At a particular restaurant, each mini hotdog has 100 calories and each slider has 200 calories. A combination meal with mini hotdogs and sliders is shown to have 1200 total calories and 4 times as many mini hotdogs as there are sliders. Graphically solve a system of equations in order to determine the number of mini hotdogs in the combination meal, x,x, and the number of sliders in the combination meal, yy.

Answers

Answer:

The number of sliders is 2 and the number of hot dogs is 8.

Step-by-step explanation:

Since at a particular restaurant, each mini hotdog has 100 calories and each slider has 200 calories, and a combination meal with mini hotdogs and sliders is shown to have 1200 total calories and 4 times as many mini hotdogs as there are sliders, in order to determine the number of mini hotdogs in the combination meal, X, and the number of sliders in the combination meal, Y, the following calculation must be performed:

2X + Y = 1200

800 + 400 = 1200

800/100 = 8

400/200 = 2

Thus, the number of sliders is 2 and the number of hot dogs is 8.

Help Please! Find The Circumference Of A Circle With R=12.3.

Answers

Answer:

77.28

Step-by-step explanation:

c=π2r

12.3 times 2 =

24.6π

=77.28317928

=77.28

Answer:

77.3

Step-by-step explanation:

If you give me right answer will cashapp money

Answers

Answer:

x=8

Step-by-step explanation:

The ratio of the sides is 7:14=1:2. So, the ratio of DF:XZ is 1:2. DF=2x-5, and XZ=22. This makes the ratio. 2x-5:22=1:2. That means 2x-5 is half of 22, which is 11. We can solve from there.

2x-5=11Add 5, 2x=16Divide by 2, x=8

Check your work:

2(8)-5=1116-5=1111=11

For each set of points below, determine the distance between them using the distance formula. If necessary express your answer in simplest radical form OR rounded to the nearest tenth.

Answers

where are the points below? i cant do anything if there isnt numbers or anything to work with

Since you didn’t give any points I’ll just give an example, and hope you answer using it

With a set of points (x1, y1) and (x2, y2) you can find the distance by d = [ (x2 - x1)2 + (y2 - y1)2 ]1/2.

Let (x1, y1) be (-4, 5) and (x2, y2) be (-1, -1)

d = [ (-1 - -4)2 + (-1 - 5)2 ]1/2 = [ (3)2 + (-6)2 ]1/2 = [ 9 + 36 ]1/2 = [ 45 ]1/2 = 3*[5]1/2 = 6.7

Guess the rule and add the next number in the sequence.
1 6 16 31 51

Answers

this is a centred pentagonal number the next numbers should be 76, 106, and 141

{67, 68, 68, 71, 73, 73, 73, 74, 74, 74, 74, 75, 75, 77, 78, 79, 79, 80, 80}
What is the mean of the data?
1,412
862
79
74

Answers

Answer:

the answer is 1,412

Step-by-step explanation:

all you do is add all the numbers together

Worth five points! it doesnt tell me if what answer is right but if i get 75% or up i will mark the first person who answered with an actual answer brainliest and i don't lie about brainliest!! Please no nonsense answers I just want help :(
Triangle DEF is an isosceles triangle with DE = EF, and mE =92°
What is mD?
A. 45
B. 44°
C. 88°
D. 90°

Answers

Answer:

Step-by-step explanation:

Answer:

44 is the awnser

Step-by-step explanation:

becuase if you were to look at the first persons work it is correct showing him solving the equasion and witch it is not 44

The points (x, 3) and (-1, -4) lie on the same line. If the slope of the line is 1, what is
the value of x?
A-3
B 1
C 6
D-6

Answers

Answer:

C)  6

Step-by-step explanation:

use slope formula:

(-4 - 3) / (-1 - x) = 1

cross-multiply:

-7 = -1 - x

-6 = -x

6 = x

58, 72, 74, 92, 84, 40, 74, 81, 76, 83 What was the mean score on Mr. Shenton’s final exam?

Answers

Answer: 73.4

Step-by-step explanation:

To find the mean, you add up all your data value then divide the sum by the # of values in the set.

58 + 72 + 74 + 92 + 84 + 40 + 74 + 81 + 76 + 83

= 734

There are 10 numbers in the set.

734  ÷ 10 = 73.4

The mean score on Mr. Shenton's final exam is 73.4

A smartphone regularly sells for $125. It is on sale this week for $85. The sale
price is what percent of the regular price?

Answers

Answer:

68%

Step-by-step explanation:

85 divided by 125 = .68 * 100 = 68

Answer: The sale price is 40 percent of the regular price

Step-by-step explanation:

Factor the Expression= -3x + 12

Answers

Answer:

-3(x-4)

Step-by-step explanation:

to factor, you have to find the gcf of both numbers. the gcf is -3

Answer:

-3 (x-4)

Step-by-step explanation:

Take a negative three out of each part of the problem.

PLEASE ASAP Suppose a normal distribution has a mean of 26 and a standard deviation of
4. What is the probability that a data value is between 28 and 31? Round your
answer to the nearest tenth of a percent.
A. 21.3%
B. 19.3%
C. 20.3%
D. 22.3%

Answers

Answer:

20.3%

Step-by-step explanation:

Hope that helps :)

Rectangle ABCD is congruent to rectangle A″B″C″D″ . Which sequence of transformations could have been used to transform rectangle ABCD to produce ​ rectangle A″B″C″D″ ​ ? ​ Rectangle ABCD ​ was reflected across the y-axis and then across the x-axis. ​ Rectangle ABCD ​ was translated 8 units left and then 7 units down. ​ Rectangle ABCD ​ was translated 2 units left and then 3 units down. ​ Rectangle ABCD ​ was rotated 180° around the origin and then translated 7 units down. A coordinate graph with rectangle A B C D and rectangle A double prime B double primes C double prime and D double prime. Rectangle A B C D has points at A begin ordered pair 2 comma 5 end ordered pair, B begin ordered pair 2 comma 2 end ordered pair, C begin ordered pair 6 comma 2 end ordered pair, D begin ordered pair 6 comma 4 end ordered pair. Rectangle A double prime B double prime C double prime D double prime has points at A double prime begin ordered pair negative 6 comma negative 3 end ordered pair, B double prime begin ordered pair negative 6 comma negative 5 end ordered pair, C double prime begin ordered pair negative 2 comma negative 5 end ordered pair, D double prime begin ordered pair negative 2 comma negative 3 end ordered pair

Answers

Answer:- A. Rectangle ABCD was translated 8 units left and then 7 units down.

Explanation:-
We can see vertex A(2,4) of rectangle ABCD moves to A"(-6,-3), in a way that A translated 8 units left (-8)and 7 units down(-7) to A".
i.e.(2-8,4-7)=(-6,-3)
Similarly the other vertices of rectangle ABCD moves to form rectangle A"B"C"D"
B (2,2) → B" (-6,-5)
C (6,2) → C" (-2,-5)
D(6,4) → D" (-2,-3)

Determine the value of variables a, b, and c that make each equation true.
What is the value of a in this equation?
1
(14496
30
a
What is the value of b in this equation?
b=
What is the value of c in this equation?
(x2)° = 222

Answers

Answer:

77

Step-by-step explanation:

I got it right on my question

WILL GIVE BRAINLIEST identify the domain of the function

Answers

Answer: The horizontal extent of the graph is -3 to 1, so the domain of f is (-3,1]

Step-by-step explanation:

The range is [-4,0]

Someone plz help me no need to explain

Answers

Answer:

Triangle, Pentagon, Hexagon, Decagon

Step-by-step explanation:

Triangle = 3 sides

Pentagon = 5 sides

Hexagon = 6 sides

Decagon = 10 sides

sorry for the late response

Please help I’m having a hard time :(

Answers

Answer:

i think you're right- you seem to have all numbers squared correctly, also every negative value squared becomes a positive number, which means that your answers are correct.. what is your issue?

Step-by-step explanation:

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