From the top of a 200 foot lighthouse, the angle of depression to a ship on the ocean is 23 degrees.
How far is the ship from the base of the lighthouse?

I know I did it right by the key says its wrong. Please provide steps

Answers

Answer 1

the ship is 472 m from the lighthouse

Step-by-step explanation:

from the question, we can know ∠OAS = 90°-23° =67° and AO = 200m

OS = A0 • tan 67°

= 200 m • 236°

= 472 m


Related Questions

find the product (n- 2xb)(4n- xb)

Answers

Step-by-step explanation:

(n-2xb)(4n-xb)

= 4n^2 - 8xbn - xbn + 2(xb)^2

= 4n^2 - 9xbn + 2(xb)^2

factor completely 1-x^2

Answers

Answer:

(1 + x)(1 - x)

Step-by-step explanation:

Step 1: Rewrite 1 as 1^2

[tex]1 - x^2[/tex] [tex]1^2 - x^2[/tex]

Step 2: Apply difference of two squares formula [tex]x^2 - y^2 = (x+y)(x-y)[/tex]

[tex](1+x)(1-x)[/tex]

Therefore, the answer is (1 + x)(1 - x).

Hey! Can I know how to solve this problem?
(2)/((1)/(\sqrt(3))+1)
It's been driving me insane.

Answers

Answer:

Can you ask again with a picture? it's not clear with only text

What is the slope of a line with one point at (2,1) and another at (5,3)

Answers

Answer:

Slope: 2/3

Step-by-step explanation:

Take the first point (2,1) as (x1, y1), and,

the second point (5,3) as (x2, y2).

Using the slope formula to calculate the slope:

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

= (3-1)/(5-2)

= 2/3

Hence, the slope is 2/3

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Ik this is not math but please help

Answers

Ecosystem is your answer

A pitcher can hold 1 7/8 pints if juice. part a : how many 2/5 pint glasses can the pitcher fill. show work. and part b : how many 1/4 pint glasses can the pitcher fill . show your work

Answers

Answer:

Correct answer is 0.67

Step-by-step explanation:

A sum of money is shared amongst three friends, Shai, Toni and Mara in the ratio 6:5:9 respectively. If Toni received $160, how much money did Shai and Mara receive?​ HELLLLLLLLPPPPPPP

Answers

Answer:

$192 and $288

Step-by-step explanation:

The ratio given:

Shai : Toni : Mara = 6 : 5 : 9

Toni receives $160, which is 5 portions.

Each portion is:

$160/5 = $32

Shai gets:

6*$32 = $192

Mara receives:

9*$32 = $288

Step-by-step explanation:

It is given

4x+3y=24

We can also write it as

3y=24−4x

 y=324−4x

Substituting x=0 in the given equation

 y=324−4(0)

 So we get 

 y=324

 By division 

 y=8 

 Substituting x=3 in the given equation 

 y=324−4(3)

 So we get

 y=312

 BY division 

 y=4

Can anyone please help me out

Answers

Answer:

B = 3.31662479

rounded to 3.32

Step-by-step explanation:

Pythagorean theorem: [tex]a^{2} + b^{2} = c^{2}[/tex]

A & B = the base and height

C = The diagonal line.

A & B can be base or height. ( base = 2 Height = 3. It can be [tex]2^{2} + 3^{2}[/tex] or [tex]3^{2} + 2^{2}[/tex] )

Because when you add it doesn't matter where each number is put.

I like doing b for the base, because there's a b in base, to make it easier for me. But you can do whatever.

A = 5

B = ?

C = 6

[tex]5^{2} + b^{2} + 6^{2}[/tex]

From here you will solve to get b.

[tex]5*5 + b^{2} = 6 * 6[/tex]

[tex]25 + b^{2} = 36[/tex]

25 - 25 + [tex]b^{2}[/tex] = 36 - 25

[tex]b^{2}[/tex] = 11

To under the exponent you have to [tex]\sqrt[/tex] it.

[tex]\sqrt{b_{2}}[/tex] = [tex]\sqrt{11}[/tex]

[tex]5^{2} + 3.32^{2} = 6^{2}[/tex]

B = 3.31662479

rounded to 3.32

Check your work :

[tex]5^{2} + 3.32^{2} = 6^{2}[/tex]

>> Answer

________

[tex] \: [/tex]

a² = c² - b²

a² = 6² - 5²

a² = 36 - 25

a² = 11

a = √11

a ≈ 3.316...

a car salesperson earns 4% commision for each car he sells.he sells a car for $21,250. how much commission does the saleperson earn

Answers

Work to your question. I hope this helps.

Can you subtract 8 tenths from 1 tenth?​

Answers

Answer:

Not if you want it to be a positive number. You can but it will be a negative.

Step-by-step explanation:

Can someone help me with number 36? Tysmmm

Answers

Answer: Never(!) [assuming I understand/interpret the question properly]

Step-by-step explanation: The question wants to know how many months it will take for your neighbor's total cost be the same as yours, with three televisions. One has to interpret "total cost." I deem it to be the total accumulated costs, including installation. If you interpret it as the cost per month, then they charges are the same after the month the installation cast was paid. That's because the satellite provider charges per television, and 3*(13.32) is equal to the same 39.96/month charged by the cable provider. It the questions means total cumulative costs, the satellite customer will never exceed the cable customer's total bill, because of the installation fee ($75 for cable and free for satellite)

explain mathematically how you know 5y+4=10 and 5y=6 are equivalent

Answers

Answer:

see explanation

Step-by-step explanation:

Given

5y + 4 = 10 ( subtract 4 from both sides )

5y = 10 - 4 , that is

5y = 6

Thus 5y + 4 = 10 is equivalent to 5y = 6

Answer: y=  9x+6y=15

Step-by-step explanation:

What is the volume of this cylinder?
6 ft
12ft

Answers

it’s is approximately 1357.17
pls give brainlest


You have 8/12
of a blueberry pie left over from dinner. If you sent 1/5 of the leftover
blueberry pie home with your guests, how much of the blueberry pie do you have left in the dish?

Answers

Answer:

8/12-1/5=7/15 reduce 8/12 to 2/3

10
Sarah is making 4 batches of cupcakes for a friend's birthday. Each batch requires 4 teaspoons of vanilla for the
cupcakes and 2 teaspoons of vanilla for the frosting. Which expression can you use to help find the number of
teaspoons of vanilla Sarah will need for all 4 batches?
O 4 + 2 x4
o (4 + 2) x4
(4 x 4) + 2

Answers

Answer:

Step-by-step explanation:

the answer is (4 x 4)+2

Answer:

o (4+2) x4   is the expression that means 4 batches of 4+2 teaspoons of vanilla.

Step-by-step explanation:

1c = t(4 + 2) is created as t = tspoon but any letter cna represent and maybe the o means teaspoons so lets compare

we see the brackets on (4+2) x4 and use this. And if you must put a 0 in front then I would also convert to show without 0 and show both

As long as brackets separate the (4x 2) to the 4 batches it becomes a workable expression.

When algebra becomes understandable for multiplying we show 4(4 +2)

because in brackets its always add or subtract, but we recognise mainly as the question is worked out first for one part being  1 cupcake = 1c

so 1c = 4t+2t

then;  4c = 4t+2t

we need to multiply the set as a reverse to usual equations that try to make you find what t or c means.

so as we are not subtracting the numbers either side of the = we can just demonstrate a multiplication

4( 4+2)t = 0(4+2) x 4

equation in bold = expression given and chosen

they both mean the same so we know the first one in bold is an equation and the 2nd one as asked is an expression

Trigonometric identities: Performance task

Answers

#1

[tex]\\ \sf\longmapsto (1+cosx)(1-cosx)[/tex]

[tex]\\ \sf\longmapsto 1-cos^2x[/tex]

[tex]\\ \sf\longmapsto sin^2x[/tex]

#2

[tex]\\ \sf\longmapsto \dfrac{1}{cot^2x}-\dfrac{1}{cos^2x}[/tex]

[tex]\\ \sf\longmapsto tan^2x-sec^2x[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

is 9^4 equivalent to 3^8

Answers

Answer: 9^4 is 6561 and 3^8 is 6561 so yes it is equivalent.

Brainliest if you liked answer

check the image below

Answers

Answer: A

Step-by-step explanation:since the dot on -3 is solid that means it is included or equal to. since the dot on 2 is not filled in that means not equal to that number but everything up to it, including everything from -3 up to but not including 2

a!! think of it as a snake filling in the dot or not filling in the dot

help help pls!!!!!!!!!!!!!

Answers

Answer:D

Step-by-step explanation:the exterior angle of a triangle is equal to the sun of the opposite interior angles

120 =11x-6+10x

21x= 126

x=6

How do animals get nitrogen?

by eating other organisms
from the air
by absorbing the sun
through their skin

Answers

Answer:

By eating plants or other animals that contain nitrogen


[tex]Evaluate: \int \frac{ \sin(2x) }{1 + \sin^{2} (x) }dx \\ [/tex]
Hopping for a great answer.​

Answers

Answer:

ln (1 + sin^2(x)) + C

Step-by-step explanation:

Note that sin(2x) = 2 sin(x) cos(x).

So, the integrand is rewritten as:

(2 sin(x) cos(x)) / (1 + sin^2(x) ).

Now, make the substitution u = sin(x), so that du = cos(x) dx.  Thus, in terms of the variable u, the integrand is

(2 u )/(1 + u^2).

Make another substitution v = 1 + u^2, so that dv = 2 u du, and the integrand in terms of v is

1 / v

Now, we integrate, and then back substitute to write that the indefinite integral is

ln |v| + C = ln |1 + u^2| + C = ln |1 + sin^2(x)| + C + ln (1 + sin^2(x)) +C, since 1 + sin^2(x) + 1 is positive for all real x.

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

We have to evaluate the given integral.

[tex] \displaystyle \rm = \int \dfrac{ \sin(2x) }{1 + \sin^{2} (x) } \: dx[/tex]

[tex] \displaystyle \rm = \int \dfrac{2 \sin(x) \cos(x) }{1 + \sin^{2} (x) } \: dx[/tex]

Now let us assume that:

[tex] \rm \longmapsto u = 1 + { \sin}^{2}(x)[/tex]

[tex] \rm \longmapsto \dfrac{du}{dx} = 2 \sin(x) \cos(x) [/tex]

[tex] \rm \longmapsto dx = \dfrac{1}{2 \sin(x) \cos(x) } \: du[/tex]

Therefore, the integral becomes:

[tex] \displaystyle \rm = \int \dfrac{1}{u} \: du[/tex]

[tex] \displaystyle \rm = \ln(u) + C[/tex]

[tex] \displaystyle \rm = \ln(1 + sin^{2}x ) + C[/tex]

Therefore:

[tex] \displaystyle \rm \longmapsto \int \dfrac{ \sin(2x) }{1 + \sin^{2} (x) } \: dx = \ln(1 + sin^{2}x ) + C[/tex]

Two golf balls are randomly selected from a bag that contains 3 Titleist, 5 Top Flite, and 2 Pinnacle golf balls .If the first golf ball is replaced before the second golf ball is selected, determine the probability that you select a Titleist and then a Top Flite.

Answers

Answer:

type b balls

Step-by-step explanation:

Answer:

b balls

Step-by-step explanation:

your mom

10. The half-life of a radioactive substance is 15
years.
Write an equation that can be used to determine
the amount, s(t), of 200 grams of this substance
that remains after t years. (2 points)
Determine algebraically, to the nearest year, how
long it will take for 1/10 of this substance to
remain. (3 points)

Answers

Answer:

s(t)=200(1/2)^t/13

Step-by-step explanation:

Here's answer:

https://www.nysedregents.org/algebratwo/619/algtwo62019-mrs.pdf

The number of years it will take for  1/10 of this substance to remain is; 50 years

What is the half life formula?

The half life formula is;

N(t) = N₀(¹/₂)^(t/t_1/2)

where;

N(t) is quantity of the substance remaining

N₀ is initial amount of substance

t is time elapsed

t_1/2 is half life

Thus;

S(t) = 200(¹/₂)^(t/15)

We want to find the time it will take 1/10 of the substance to remain. Thus;

1/10 = (200/200)(¹/₂)^(t/15)

1/10 = (¹/₂)^(t/15)

t/15 = In(1/10)/In(¹/₂)

t/15 = 3.32193

t = 49.88 ≈ 50 years

Read more about Half Life at; https://brainly.com/question/26689704

Simplify: 36 - [18 - {14 - (15 - 4 ÷2 ×2)}]​

Answers

Answer:

36 - [18 - {14 - (15 - 4 ÷ 2 × 2)}]= 36-[18-{14-(15-4)}]= 36-[18-{14-9}]=36-[18-5]=36-13=23

Step-by-step explanation:

Step-by-step explanation:

36 - [18 - {14 - (15 - 4 ÷2 ×2)}]

= 36 - [18 - {14 - (15 - 2 ×2)}]

= 36 - [18 - {14 - (15 - 4)}]

= 36 - [18 - {14 - 11}]

= 36 - [18 - 3]

= 36 - 15

= 21

Answer:

21

a line passes through the point (4, -4) and has a slope of -5 / 4

write an equation in slope-intercept form for this line​

Answers

Answer:

y=-5/4x+1

Step-by-step explanation:

y- y-coordinate= slope(x- x-coordinate)

y- (-4)= -5/4 (x - 4)

y - (-4)= -5/4x +5

move (-4) to the other side of the equal sign, the sign changes to +4

y= -5/4x +5 +4

y=-5/4x+1

How do you do this ?

Answers

Answer:

you're supposed to distribute the 4 to whatever "n" is

an arrow is horizontally projected from the top of a tower with an initial velocity of 18m/s if it reaches the ground 7s later, calculate the height of the tower (take g=10m/s²)​

Answers

Answer:

x[f]=at^2/2+v[i]t+x[i]

Brackets dennote a subscript.

You're given x[f], a, t,and v[i]. You can just plug in their values into the formula and solve for x[i]. The horizontal velocity is irrelevant, the height of the tower is the initial position of the arrow, and final position is gonna be when it reaches the ground,or 0.

Which one is the larger average rate, -3.142 or -0.5?

Answers

Answer:

-0.5 is the larger average rate

Step-by-step explanation:

-3.142 is less than -0.5

Anyone know how to do long division I know about the DMSBD but I wanna example

Answers

Step-by-step explanation:

imjteiuddjddjjdjjdjsh

usudtdbiemsihdhhdud yeh dhejuehhee

Hope's this helps

Answer:

Example Problem

1,234 ÷ 4 = 308 r 2

Step-by-step explanation:

I wasn't able to find a long division symbol so im sorry for any confusion!

         0308

4 Γ1234

       −0      

         12    

       −12    

         03  

       −0  

         34

       −32

         2


Which of the following is a measure of spread?

1.Range
2.Mean
3.Median
4.Mode
5.All of the above: Mean, Median, Mode, and Range
6.Mean, Median, and Mode only

Answers

Answer:

1....... range...............

Answer:

they include Quartile ,Inter-quatile , range......................

Step-by-step explanation:

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