A Boat is tied to the dock with a 25-foot rope. When the rope is pulled tight, the boat is 18 feet away from the base of the dock. The rope connects to the boat at the level of the water. What is the measure, to the nearest tenth of a degree, of x, the angle formed by the rope and the surface of the water?

Answers

Answer 1

Answer:

43.9°

Step-by-step explanation:

We solve the above question using the Trigonometric function of Cosine

cos x = Adjacent/Hypotenuse

From the question

Adjacent = Distance of the boat from the dock = 18 feet

Hypotenuse = Length of the rope = 25 feet

The angle formed by the rope and the surface of the water = x

Hence:

cos x = 18/25

x = arc cos (18/25)

x = 43.945519562°

Approximately θ = 43.9°

The angle formed by the rope and the surface of the water is given as 43.9°


Related Questions


Reflect Rodrigo drew this diagram
related to the diagram in problem 3.
How does Rodrigo's diagram help to
support understanding of the
Pythagorean Theorem?

Answers

Ugh I hate math so much are you in 8th grade too?? I’m doing the same thing

What is
P =4s when p= 64
Missing variable

Answers

Answer:

s=16

Step-by-step explanation:

P=4s

Put P=64

64=4s

s=16

I need help. For khan academy. Explain if you can

Answers

Answer: Ok so the number on the y axis is 0,-3 cause it is above -4. And the next point is 1,-5. That is because the first thing you plot is the x axis and then the y axis so that it gives you your number

f(x) = -6x-1
f(-1/2) = ?

Answers

Answer:

Intersection point of this is (0,-0.5)

Step-by-step explanation:

Hope this helps :)

I need help my teacher never taught me well

Answers

Answer:

3:20

Step-by-step explanation:

Answer:

4:18

hope it helps.....

??????????????????????????????

Answers

Priya

Add not divide

I’ve tried and none my answers match the choices

Answers

Answer:-13/3

Step-by-step explanation:

Match each equation with the correct answer.

19 - 4
24 - 9

Answers

Answer:

half of 30

Step-by-step explanation:

19 - 4 = 15

24 - 9 = 15

i need help with this someone help me asap please

Answers

Jkjjjjhhgfcccgggggghhhhhjji

Answer:

5*-2 = 1/25

5*3 = 125

2*-4 = 1/16

2*5 = 32

A satellite cable company charges an installation fee of $50 plus an additional $35.95 per month for service.

Answers

My answer would be 85.95

While shopping, Lucinda spent $48. If the amount she spent was 15% of her savings how much savings did she have before she shopped?

Answers

Answer: $320

Explanation: 100 divided by 15 = 6.666666666666667 then with that number you times it by $48 which will give you the answer of $320

Justin set his watch 19 seconds behind, and it falls behind another 1 second every day. How
many days has it been since Justin last set his watch if the watch is 50 seconds behind?

Answers

Answer:

31 days

Step-by-step explanation:

Hope this helps!

Brainiest?

Answer:

31 days

Step-by-step explanation:

you have a set number already 19 if every day the watch goes back 1 day 31+19=50

Read the excerpt from Heart of a Samurai.
Each of them was also given a metal stick, with four prongs on one end.

“Fork,” the sailor said – and showed them they should use it to eat the rice.

The fishermen recited their prayer before eating. “Itadakimasu – I will humbly receive.”

Then Goemon said, “It might be poison.”
What can readers infer based on details in the excerpt?
A. Goemon likes new experiences.
B. Goemon is not afraid of his rescuers.
C. Goemon does not trust his rescuers.
D. Goemon has used a fork before.

Answers

The correct answer is b

Answer:

c. goemon does not trust his rescuers.

Step-by-step explanation:

goemon said it might be poison.

he was cautious about eating the food.

The following dot plot shows the pulse rates of runners after finishing a marathon:

Which of the following data sets is represented in the dot plot?

{6, 5, 2, 4}
{140, 165, 170, 180}
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
{140, 141, 142, 145, 145, 149, 150, 151, 152, 160, 165, 170, 170, 172, 178, 179, 180, 180}

Answers

Answer:

The correct answer is Option C:

{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}

Step-by-step explanation:

Dot plots are one of the tools that are used to represent data in statistics and mathematics.

As the dot plot is given, we can make the data set from the plot.

As we can see that there are 6 dots above the value 140 that means 140 occurs 6 times in the data set.

Similarly, 165 occurs 5 times, 170 two times and 180 four times.

So the dataset will be:

{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}

[100 points! Please, I need the right answer!!]
The length of a 2-inch-long thorn was measured by Sandrine to be 1.9 inches long. Which measurement is more precise but less accurate than Sandrine’s?

1.95 inches
2 inches
2.12 inches
3 inches

Answers

Answer:

Given that he length of a 2-inch-long thorn was measured by Sandrine to be 1.9 inches long. The measurement that is more precise among the choices given is:

2 inches.

This is because it is the closest approximation of the length compared to the rest of the approximations.

Step-by-step explanation: can i have brainliest pls

Answer:

I'm note sure but I think it's the first one

Please simplify
–z -10y +2 +15y – 2z -10

Answers

Answer:

25y-3z-8

Step-by-step explanation:

happy to help

Answer:

-z-2z-10y+15y+2

-3z+5y+2

Step-by-step explanation:

HELP GIVING BRAINLIEST NUMBER 5!!!!!!

Answers

Answer:

1 solution

Step-by-step explanation:

4x + 5 = 6(x+3) - 20 - 2x

4x + 5 = 6x + 18 - 20 - 2x

4x + 5 = 4x -2

X = 3 therefore, there is only one solution

Some one help ASAP please help I’m stuck

Answers

Answer:

SOH CAH TOA

Step-by-step explanation:

/hyp/2=/ opp/ 2 +/Adj/2

x2=(1/21)2 + 1/28)2

Robin saves $500 at a yearly simple interest rate of 4%. What is the total amount of money she has after 20 years?

Answers

Answer:

Use the equation 500x0.04x20 and then 500x20 and add the sums up and get 10,400 i believe is im wrong sorry :/

$900 is the total amount of money she has after 20 years.

What is simple interest?

Simple interest is, by definition, the amount of interest paid on a specific principal sum of money when an interest rate is applied. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.

From the formula of simple interest A = P(1 + rt)

Where A = amount earned

P = principal amount

r = rate of interest

t = time

In our case

P = 500

r = 4%

t = 20

Thus,

Amount earned after 20 years = 500(1 + 4*20/100)

Amount earned after 20 years = 500(1 + 4/5)

Amount earned after 20 years = 900

therefore, the total amount of money she has after 20 years is $900.

Learn more about simple interests here:

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Is (1, 6) a solution to this system of equations?
5x + 2y = 17
x + 3y = 19
yes
no

Answers

Answer:
Yes

Explanation:
5x + 2y = 17

We are given the values (1, 6)

Substitute then into the equation

(I put a question mark to basically ask the question “is 5(1) + 2(6) equal to 17?”)

5(1) + 2(6) = 17?
5 + 12 = 17?
Yes!

Hope this helped and made sense :)
Yes because when you plug it in you get the the same Y. Which means yes

Help pls and thank you :)

Answers

Answer:

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

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex]. Here's what the variables mean:

y = the y-coordinate

m = the slope

x = the x=coordinate

b = the y-intercept (what y is equal to when the line crosses the y-axis)

First, we need to calculate the slope of the line (m). The slope is the [tex]\frac{rise}{run}[/tex] of the line, or in other words, the change in y over the change in x. We can find this by just looking at the graph, between the two given points. For 3 spaces the line travels to the right, it travels downward 2 spaces. Therefore, the slope of the line is [tex]\frac{-2}{3}[/tex].

We can also calculate this using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] by using two points that fall on the line, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. Here, we can use the points (-3,3) and (0,1).

[tex]\frac{y_2-y_1}{x_2-x_1}\\\frac{1-3}{0-(-3)}[/tex]

Two negatives make a positive

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

Then, we need to find the y-intercept of the line (b). We can find this by, again, looking at the graph. The line crosses the y-axis when y is equal to 1, so the y-intercept of the line is 1.

Now, we plug our calculated values back into the original equation:

[tex]y=mx+b\\y=\frac{-2}{3} x+1[/tex]

I hope this helps!

Henry rolls a fair dice 42 times. How many times would Henry expect to roll a number greater than 5?​

Answers

Answer:

7 times

Step-by-step explanation:

There is one number greater than 5 on a dice - that is the number 6.

So probability of throwing a six = 1/6.

So it is 42 * 1/6.

(4/9) to the power of 2

Answers

Answer:

24.01

Step-by-step explanation:

The question is incomplete the complete question is

Evaluate (4/9) to the power of 2.

We have given that,

(4/9)^2

Apply the product rule to 4/9.

What is the exponent rule?

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]

[tex]=\frac{4^2}{9^2}[/tex]

[tex]4^2=16[/tex]

[tex]=\frac{16}{9^2}[/tex]

[tex]9^2=81[/tex]

[tex]=\frac{16}{81}[/tex]

Therefore the (4/9) to the power of 2 is equal to [tex]\frac{16}{81}[/tex].

To learn more about the exponent rule visit:

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y = 2x - 3
y = 2x + 1

Answers

Answer:

No solution.

General Formulas and Concepts:

Algebra I

Solving systems of equations by graphing

Step-by-step explanation:

If the lines are parallel, they will have no solutions.

If the lines are the same, they will have infinite solutions.

If the lines are anything else, they will usually have 1 solution.

If we graph the systems of equations, we see that the lines are parallel.

∴ the systems has no solution.

please help me with this its my last math question will give brainly for correct answer
The sum of the digits of a two-digit number is 10. When the digits are reversed, the new number is 18 less than the original number. Find the original number. Check your answer.
The original number is 46.
The original number is 82.
The original number is 28.
The original number is 64.

Answers

Answer:

64

Step-by-step explanation:

 

is 5y=7x+6 linear or nonlinear

Answers

Answer:

Linear

Step-by-step explanation:

5y=7x+6 is linear equation in two variables.

{(1, -2), (-2, 0), (-1, 2), (1, 3)}
determine if the following relations are functions. then state the domain and range.

Answers

It is not a function because x repeats
Domain={1,-2,-1}
Range={-2,0,2,3}

Hope this helps

Have a great day/night

I need this answer ASAP

Answers

Answer:

The surface area is 143m

Step-by-step explanation:

(at least I think)

Can a triangle can have sides with lengths 2.7, 3.5, and 9.8.

Answers

Answer: No

Step-by-step explanation:

2.7 + 3.5 is not greater than 9.8.

Answer:

no It cant

Step-by-step explanation:

2.7 + 3.5 is not greater than 9.8.

What is the greatest common factor of 14 and 49?

Answers

Answer:

7

Step-by-step explanation:

The greatest common factor is found by listing the factors of both numbers, then finding what the biggest number is that is common.

Hope I helped!! :)

Brainliest?

Have a good night/day/afternoon!!!

The greatest common factor of 14 and 49 is 7.

To find the greatest common factor (GCF) of 14 and 49, we can determine the factors of both numbers and identify their largest common factor.

The factors of 14 are 1, 2, 7, and 14.

The factors of 49 are 1, 7, and 49.

The common factors of 14 and 49 are 1 and 7.

Since we are looking for the greatest common factor, we can conclude that the GCF of 14 and 49 is 7.

To know more about greatest common factor:

https://brainly.com/question/29584814


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