Please help!!!



A boat is pulled in by means of a winch located on a dock 10 feet above the deck of the boat. Let the angle of elevation ø = 18 degrees. Find the length s of the rope.

Please Help!!! A Boat Is Pulled In By Means Of A Winch Located On A Dock 10 Feet Above The Deck Of The

Answers

Answer 1

9514 1404 393

Answer:

  32.4 feet

Step-by-step explanation:

The applicable relationship between angle and triangle lengths is ...

  Sin = Opposite/Hypotenuse

The dock height is the side of the triangle opposite the given angle. The desired length is the hypotenuse of the triangle, so we have ...

  sin(18°) = (10 ft)/s

  s = (10 ft)/sin(18°) = (10/0.30902) ft

  s ≈ 32.4 ft

The length of the rope is about 32.4 feet.


Related Questions

Jerry lives 3 1/2 miles away from Jake. Jerry and Jake decided to meet half between their houses and then walk to the park together. The park is located 3/5 mile from the halfway point. How far did Jerry walk in all to get to the park?

Answers

Answer: Jerry walked 2 7/20 miles to get to the park

Step-by-step explanation:

1/2 of 3 1/2

1/2 of 7/2 = 7/4

7/4 + 3/5

Find the LCM of the denominator

LCM of 4 and 5 = 20

35/20 + 12/20 = 47/20 = 2 7/20

Jerry walked 2 7/20 miles to get to the park

A population of 249 birds increases at a rate of 16% annually. jewel writes and exponential function of the form f(x)=abc to represent the number of birds after x years. Which values should she use for a and b

Answers

Answer:

a = 249 and b = 1.16

Step-by-step explanation:

Consider the provided information.

The exponential function for growth is:  [tex]y=a(1+ r)^x[/tex]

Here, a is the initial value and r is the rate of change.

It is given that the number of birds is 249.

It means a = 249

The rate is given 16%

r=0.16

Put the value of a and r in the above formula.

[tex]y=249(1+0.16)^x[/tex]

[tex]y=249(1.16)^x[/tex]

Now we will compare it with the exponential function form [tex]y=ab^x[/tex]

Therefore, a = 249 and b = 1.16

From stations A and B, the distance between which is 910 mi,
two trains left simultaneously moving towards each other. The
speed of one train was 10 mph greater than the speed of the
other one. In 5 hours the trains met. Find the speed of each train.

Answers

Answer:

The slowest train goes at 86 mph and the fastest train goes at 96 mph.

Step-by-step explanation:

Distance and Speed

Assume x is the speed of the slowest train, therefore the speed of the fastest train is x+10.

The distance is calculated as:

d = vt

Where v is the speed and t is the time.

The distance traveled by each train in 5 hours is:

Slowest: 5x

Fastest: 5(x+10)

The sum of both distances is 910 miles:

5x + 5(x + 10) = 910

Operating:

5x + 5x + 50 = 910

10x = 910 - 50 = 860

x = 860/10

x = 86

The slowest train goes at 86 mph and the fastest train goes at 96 mph.

On Friday, there were x students at the baseball game. On Monday, there were half as many students at the game as there were on Friday. On Wednesday, there were 32 fewer students at the game as there were on Friday. Which expression could represent the total number of tickets sold for all 3 games?
2 and one-half minus 32
2 and one-half x + 32
3 and one-half x minus 32
3 and one-half x + 32

Answers

Answer:

I assuume it is C, hope this works?

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

I

what equation is y=4/5x+8 in standard form

Answers

Answer:

4x−5y=−40 I think thats the answer

If f(x) = -x2 – 1, and
g(x) = x + 5, then
g(f(x)) = [? ]x? +[ ]x +[ ]

could someone help me with this please, thank u

Answers

Answer:

g(f(x)) = -x^2 + 4

Step-by-step explanation:

What we simply have to do here is to put f(x) into g(x)

What this mean is that every x in g(x) will be represented by f(x)

Thus, we have it that

-x^2 - 1 + 5

= -x^2 + 4

Find the simple interest if you invest $568 at 16% for 8 months.

Answers

Ello! The answer is $60.59, because if you do

568x 0.16x 0.666667 = 60.58669696

Now, you obviously can’t type out all those numbers so you simplify which gets you 60.59!


I hope this helps you! :)

A number c minus 6 is less than or equal to 5.3. Write this word sentence as an inequality.

An inequality is

Answers

Answer:

C - 6 < = 5.3

Step-by-step explanation:

Writing the above as an equality, we would have ;

Since C is less than 6, then;

C - 6

Therefore, C minus 6 is less than or equal to 5.3 is

C - 6 < = 5.3

An inequality is when an unequal relationship exist between two expressions, which uses signs such as not equal to , less than < , greater than > etc.

3) A skier traveled downhill at a rate of 12 feet per second. If he started at an elevation of 1,200 feet, what is his elevation after one minute?​

Answers

Answer:

480

Step-by-step explanation:

12 x 60 = 720

1200 - 720 = 480

Answer: 1,920

Step-by-step explanation:

12ft per second, so to find out his elevation after one minute you would have to convert from seconds to minutes. (60 sec = 1 min). So you would do 12*60 to get 720. And since he already started at 1,200 feet, you add 720. So 1,200+720 = 1,920 ft.

It takes servers in a restaurant 18 minutes to clear and set 9 tables.
At this rate, how long will it take them to clear and set 20 tables

Answers

Answer:

40 minutes

Step-by-step explanation:

To find it taes to clear and set one table divide time by the amount of tables. 18/9=2. It takes 2 minutes per table. To find the answer for 20 tables, you have to multiply 20 by 2. It takes 40 minutes to set and clear 20 tables.

Expressions include numbers, variables, and an equal sign.

True

False

Answers

False. Generally, an expression does not contain an equality symbol.  Numbers and/or variables (letters) and operation symbol(s), for example, “x + 10”

Al's Cardboard produces cereal boxes and uses the expression 16x ^ 2 + 56x + 24 to determine the volume of each box. The cereal box below was produced by Al's Cardboard and has a width of 8 centimeters ( cm )

Answers

Answer:(8x+24) (2x+1)

Step-by-step explanation:

Answer:d

Step-by-step explanation:


If x²-2=2⅔ +2-⅔
then prove that 2x³-6x =5 solve and send photo please​

Answers

Answer:

Step-by-step explanation:

x²-2=2⅔ +2-⅔

x^2 = 2^1 + 2⅔ +2-⅔

x^2 =   4.21736

x = 2.0536.

Plug this into 2x^3 - 6x:

= 2(2.0536)^3 - 6(2.0536)

= 5

So 2x^3 - 6x = 5.

answer:

[tex]x1 = - \sqrt{6} \\ x2 = \sqrt{6} [/tex]

Step-by-step explanation:

[tex]x ^{2} - 2 = \frac{8}{3} + 2 - \frac{2}{3} [/tex]

[tex]x^{2} - 2 = 4[/tex]

[tex]x^{2} = 4 + 2[/tex]

[tex]x^{2} = 6[/tex]

[tex]x = - \sqrt{6} \\ x = \sqrt{6} [/tex]

[tex]x1 = - \sqrt{6} \\ x2 = \sqrt{6} [/tex]

Candice is deep-sea diving with two friends. Whitney is exploring a coral reef 56 feet in front of Candice, and Ed is floating on the surface directly above Candice. If Ed and Whitney are 70 feet apart, how far apart are Candice and Ed?​

Answers

Answer:

126

Step-by-step explanation:

  70

+ 56

 126

If Ed and Whitney are 70 feet apart, then Candice and Ed are 42 feet apart.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that the Candice is deep-sea diving with two friends

Whitney is exploring a coral reef 56 feet in front of Candice

The distance between Whitney and Candice is 56 feet.

Ed is floating on the surface directly above Candice.

Ed and Whitney are 70 feet apart, we need to find the distance between Ed and candice.

By using Pythagoras theorem we can find this.

70²=56²+x²

4900=3136+x²

Subtract 3136 from both sides

4900-3136=x²

x²=1764

Take square root on both sides

x=42

Hence, If Ed and Whitney are 70 feet apart, then Candice and Ed are 42 feet apart.

To learn more on trigonometry click:

https://brainly.com/question/29002217

#SPJ2

Suppose a charity received a donation of $19.2 million. If this represents 36% of the charity's donated funds, what is the total
amount of its donated funds?
Round your answer to the nearest million dollars.

Answers

Answer: 53 million dollars

Explanation: To find this, you first need to do 19.2/0.36 and you will get 53.3 repeating. Then, you will round down to 53 since it says round your answer to the nearest million dollars. Finally, label 53 as 53 million dollars. Hope this helped!

Couch and coffee table cost a total of $996. The cost of the couch is two times the cost of the coffee table find the cost of each item.

Answers

Answer:500

Step-by-step explanation:

Please help me thanks please

Answers

Answer: 3234 cubic units

Step-by-step explanation:

Volume of cylinder: πr²h

The diameter of the cylinder is 14 units so the radius is 7 units.

Now we'll substitute.

π = 22/7

h = 21

πr²h

π × 7² × 21

22/7 × 49 × 21 = 3,234

The volume is 3,234 cubic units.

HELP???? PLEASE AND FAST IM ON THE BRINK OF DEATH --

Determined to finish her milkshake before Diego, Lin now drinks her 12 ounce milkshake at a rate of 1/3 an ounce per second.

Diego starts with his usual 20 ounce milkshake and drinks at the same rate as before, 2/3 an ounce per second.

1) Graph this situation on
2) What does the graph tell you about the situation and how many solutions there are?

Answers

Answer:

See below.

Step-by-step explanation:

Create a system of equations to represent this scenario.

Lin: 12 - 1/3x = yDiego: 20 - 2/3x = y  

1) A graph of these equations is attached below. Lin is in red; Diego is in blue.

2) The time (seconds) is on the x-axis, while the milkshake (oz) is on the y-axis. The graph shows the rate of change that the volume of the milkshake is decreasing for both Lin and Diego. The intersection point tells us at what time t (s) Lin and Diego have the same amount of milkshake left.

There is only one solution to this system of equations: (24, 4). This tells us that at t = 24 s, Lin and Diego both have 4 oz of milkshake left.

The zeros, aka where the graph touches the x-axis, tell us at what time Lin and Diego finish their milkshakes.

Lin finishes her milkshake later than Diego, at t = 36 s (36, 0), while Diego finishes his milkshake at t = 30 s (30, 0).

heeeeeeelpppppppppppp

Answers

Answer:

$128

Step-by-step explanation:

write a real word problem that you could represent 3+ x =10

Answers

A real world problem that you could represent 3+x=10

i did it

now give brainliest

3. The measure of side c is 110 inches and
the measure of side a is 45 inches. What is
the length of side b?

Answers

C is it I think let me know if I’m wrong

5 pencils cost £4.25.
How much do 9 pencils cost?

Answers

Answer:

£ 7.65

Step-by-step explanation:

Cost of 5 pencils = £ 4.25

Cost of 1 pencil = £ 4.25 / 5 = £ 0.85

Now

Cost of 9 pencils = £ 0.85 * 9 = £ 7.65

Hope it will help :)❤

Step-by-step explanation:

Hey there!

Given;

The cost of 5 pencils is £ 4.25.

Cost of 9 pencils= ?

Now;

~ Finding cost of one pencil.

Cost of 1 pencil= £4.25/5

= £0.85

~ Finding cost of 9 pencils.

Cost of 9 pencils= £9*0.85

= £7.65

Therefore, the Cost of 9 pencils is £7.65.

Hope it helps....

If the maximum value of y=-3x² + mx + 10 is 37, find the values of m.​

Answers

Step-by-step explanation:

y = -3x² + mx + 10

dy/dx = -6x + m.

When dy/dx = 0, -6x + m = 0. => x = m/6.

We have y = -3(m/6)² + m(m/6) + 10 = 37.

=> -m²/12 + m²/6 = 27

=> -m² + 2m² = 324

=> m² = 324

=> m = 18 or m = -18.

m=-18...................

Is range a measure of center or a measure of variation? A. measure of center B. measure of variation​

Answers

Answer:

B

Step-by-step explanation:

It’s B bc I know!!!

Four puzzles that were manufactured contained a total of 420 pieces. The next 6 puzzles contained a total of 630 pieces. If the relationship between the number of puzzles and the total number of puzzle pieces continues to be proportional, which could be the missing entries in the table?​

Answers

Answer: B.) 8 Puzzles and 840 pieces

What is this answer?

Answers

Answer:

The answer is (-1,-10)

hope this helps

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

D. (-1, -10)

Step-by-step explanation: I put your question into a math calculator and got this as your answer. Good luck!

Pam went to the fair. She went on the same 6 times and used the same number of tickets each time. She used 18 tickets. How many tickets did she use each time she went on the ride?

Answers

Answer:

3 tickets

Step-by-step explanation:

If you did 18/6 it would cost 3 tickets each time on the ride.

18÷6=3 tickets

Bryant spent half of his weekly allowance on an XBOX ONE game. To earn more money his parents let him wash the car for $4. What is his weekly allowance if he has $12 at the end of the week? Which equation matches the word problem?

Answers

Answer:

$16

Step-by-step explanation:

12-4=8

8 x 2= 16

⭐hello my Friend!

he will have 16 dollars.

just do the math:

[tex]12 - 4 = 8[/tex]

[tex]8 \times 2 = 16[/tex]

⭐have good studies!

☝️follow the rules of brainly!

‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️
A recipe calls for 6 cups of water and 4 cups of flour. a. What is the ratio of water to flour?
b. If the recipe is increased to use 6 cups of flour, how much water should be used?
c. If the recipe is decreased to use 2 cups of water, how much flour should be used?

Answers

Answer:
A: 6:4
B: 9 cups of water
C: 3 cups of flour

Answers:

a) The ratio of water to flour is 3:2b) 9 cups of waterc)  1 & 1/3 cups of flour

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

Work Shown:

Problem 1

6 cups water: 4 cups flour

(6/2) cups water: (4/2) cups flour

3 cups water: 2 cups flour

3:2 is the ratio of water to flour

In the second step, I divided both parts by the GCF 2 to reduce the ratio.

-------------------------

Problem 2

(3 cups water)/(2 cups flour) = (x cups water)/(6 cups flour)

3/2 = x/6

3*6 = 2*x ... cross multiply

18 = 2x

2x = 18

x = 18/2

x = 9

You'll need 9 cups of water

-------------------------

Problem 3

(3 cups water)/(2 cups flour) = (2 cups water)/(y cups flour)

3/2 = 2/y

3y = 2*2

3y = 4

y = 4/3

y = (3+1)/3

y = 3/3 + 1/3

y = 1 + 1/3

y = 1 & 1/3

You'll need 1 & 1/3 cups of flour

This value is a mixed number with the first "1" being the whole part, and the 1/3 being the fractional part.

This is saying you'll need 1 full cup of flour, plus an additional one-third cup of flour to go on top of that.

Brady has a card collection with 32 basketball cards, 24 football cards, and 40 baseball cards. He wants to
arrange the cards in equal piles, with only one type of card In each plle.
How many cards can he put in each plle? Select all that apply.

Answers

Answer:

he can make 8 piles before he runs out and has 2 cards leftover

Step-by-step explanation:

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