a boat is tied to a dock with a 25-foot rope.when the rope is pulled tight, the boat us 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.​

A Boat Is Tied To A Dock With A 25-foot Rope.when The Rope Is Pulled Tight, The Boat Us 18 Feet Away

Answers

Answer 1

Answer:

≈ 44.0°

Step-by-step explanation:

Use trigonometry

The ratio of the adjacent side of a right triangle to the hypotenuse is called the cosine:

cos x = 18/25 = 0.72cos x = 0.72x = arccos 0.72x = 43.9455° ≈ 44.0° rounded

Related Questions

Ritu and Jitu both deposited Rs 100 in a Bank. Ritu deposited for 5 years with interest rate 8% per year and Jitu deposited for 4 years with interest rate 9% per year. Who will get more interest? By how much?

Answers

Step-by-step explanation:

Step 1

For Ritu,

Principal(P) = Rs 100

Time(T) = 5 year

Rate(R) =8%pa

Intrest (I) = ???

We know,

I = P*T*R /100

= 100*8*5/100

=Rs40

now

For Jitu,

Principal(P) =Rs 100

Rate(R)=9%pa

Time (T) = 4 year

Intrest(I) =?

We have

I = P*T*R/100

=100*4*9/100

=Rs36

Step 2

We have

Intrest of Ritu have more then that of Jitu so she makes more profit

now Profit diffrence =Rs40-Rs36

=Rs4

Therefore Ritu gets 4 more profit then Jitu

please help me please really need help please

Answers

The answer is Y = 2/3x - 4

For a hypothesis test of H0: p = 0.35 against the alternative, Ha: p > 0.35, the z test statistic is found to be 2.45. What can be said about this finding?

a. The finding is significant at α = 0.05, but not at α = 0.01.
b. The finding is significant at α = 0.01, but not at α = 0.05.
c. The finding is significant at both α = 0.05 and α = 0.01.
d. The finding isn't significant at α = 0.05 and α = 0.01.
e. The finding is inconclusive because we don't know the value of p.

Answers

Answer:

c? sorry if it's wrong...

The correct statement is,

⇒ The finding is significant at both α = 0.05 and α = 0.01.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

For a hypothesis test of H₀, p = 0.35 against the alternative,

And, Hₐ: p > 0.35, the z test statistic is found to be 2.45.

Now, We get;

P(z < 2.45) = 0.9929

Hence, Significant is,

⇒ 1 - 0.9929 = 0.0071

Thus, Significant at both 0.05 and 0.01 because both are greater than 0.0071.

So, The correct statement is,

⇒ The finding is significant at both α = 0.05 and α = 0.01.

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ3

Hannah has a dog and a cat. Her dog has 9 spots.
Her dog has 3 times as many spots as her cat.
How many spots does Hannah's cat have?

Answers

Hannah's cat has 3 spots

How to calculate the number of spots that Hannah cat has ?

Hannah has both a dog and a cat

Her dog has 9 spots

Her dog has 3 times as many spots as her cat

The number of spots that her cat has can be calculated as follows

= 9/3

= 3

Hence Hannah's cat has 3 spots

Read more on spots here
https://brainly.com/question/13576028

#SPJ1

Someone help pls:( !!!!!!!!!!

Answers

Answer:

Multiply both sides by -2 and reverse the inequality symbol

Step-by-step explanation:

since it is division you want to make it multiplication so that you can get the answer easier

-1/2w<12

it cancels out the -1/2 than just multiply 12 and -2 you get -24

w > -24

PLEASE HELP its multiple choice i’ll mark brainliest and i added a couple points

Answers

Answer:

i think it the third one but i don't know i'm not in collage math class so...

Step-by-step explanation:

WILL GIVE BRAINLIEST IF UR RIGHT!!!!!​

Answers

Answer:

5 cm

Step-by-step explanation:

If B to C is about 8 cm then C to E is about half of that plus one because its half way to A and a little bit to the right.

Hope this helps!

A $75 item is discounted 20%. Find the amount of discount

Answers

Answer:

$15

Step-by-step explanation:

70 * .2 = 15 hope this helps!

Answer:

$15

Step-by-step explanation:

Turn the discount into a decimal, multiply the decimal and the $75

Jessica has $42.60 in her piggy bank. She spent 1/3 of her money at the movies and made $24.50 babysitting her cousins. How much money does she have now? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK!!)
A. 52.90
B. 1.04
C. 12.84
D. 458
E. 5x-8y+7
F. 25.30

Answers

Answer:

a

Step-by-step explanation:

i took the quiz

1.8 divide by 0.72 explain

Answers

Answer:

0.40

Step-by-step explanation:

Change the divisor 1.8 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.

We then have the equations:

7.2 ÷ 18 = 0.40

and therefore:

0.72 ÷ 1.8 = 0.40

Both calculated to 2 decimal places.

Solve the proportion.
u/2 = 4/1

U=

Answers

[tex] \dfrac{u}{2} = \dfrac{4}{1} [/tex]

[tex] \implies \: u \: = \frac{4}{1} \times 2[/tex]

[tex] \implies \: u = 8[/tex]

Answer:

Solve the proportion.

u/2 = 4/1

U = 8

Step-by-step explanation:

2 x u/2 = 2 x 4/1

U = 8

Which statement best describes the graphs of the lines
y=-x-3 and y=x+6
A) They are the same line.
B) They are parallel lines.
C) They intersect at exactly one point.
D) They intersect at exactly two points.

Answers

Answer:

Step-by-step explanation:

C they intersect only once  and are also perpendicular lines

This year a train ticket costs £24.97

Last year a train ticket for the same journey cost £22.70

Write this year’s cost as a percentage of last year’s cost.

Answers

Answer:

10%

Step-by-step explanation:

24.97 - 22.70=2.27

Increased price÷initial price×100%

2.27÷22.70×100%=10%

A group of friends wants to go to the amusement park. They have no more than $125 to spend on parking and admission. Parking is $15, and tickets cost $12.50 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.

Answers

Answer:

100

Step-by-step explanation:

What is the constant of proportionality in the equation -
Y=x/9

Answers

The constant proportionality is 9.

Help me out with this question (geometry)

Answers

Answer:

Step-by-step explanation:

∠UST=2 m∠2

10x+10=2(6x-1)

10x+10=12x-2

12x-10x=10+2

2x=12

x=6

m∠UST=10×6+10=70°

Which of the following is a trinomial with a constant term?
A. -x + y^10
B. X+ 4y + 7
C. y^5
D. x^3 + 11x^2 + x

Answers

Answer:

B

Step-by-step explanation:

because a constant term is a number with out a variable

What is the vertex of the graph of f(x) = |x + 5|– 6? (A) (-6, -5)
(B) (-6, 5)
(C) (-5, -6)
(D) (5.-6)​

Answers

Answer:

C

Step-by-step explanation:

Plz mark as brainliest

Answer:

It’s D

Step-by-step explanation:

12 + 30x

neeeeeeeeed heeeeeeeeeeeelp

Answers

Answer:42x

Step-by-step explanation:

You can’t combine them they are unlike terms

I need help on this!! please help me!​

Answers

Given:

Line segment labelled y is the midsegment of the triangle.

To find:

The measures of x, y and z.

Solution:

Since line segment labelled y is the midsegment of the triangle. So, it divides the included sides in two equal parts.

Line segment labelled y is bisector of both included sides.

[tex]x=21[/tex] units

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

[tex]z=32[/tex] units

According to the midsegments theorem, the length of the midsegment is half of third side or non included side of the triangle.

[tex]y=\dfrac{14}{2}[/tex]

[tex]y=7[/tex] units

Therefore, [tex]x=21\text{ units},y=7\text{ units},z=32\text{ units}[/tex].

A fish tank takes 13.5 minutes to fill at a rate 1.2 litres per minute. How many minutes would
it take 5.4 litres per minute?​

Answers

Answer:

74.1 minutes is the answer

what is 5/8 - 1/10 please help

Answers

Answer:

0.525

Step-by-step explanation:

by using two simple numbers just subtract with a regular calculator <3 If I got it wrong very sorry

A blueprint uses a scale factor of 3 in = 2 ft. What is the area on the blueprint of a 3,500 square foot house in inches?

Answers

The answer would be 7,000.

find the commission. sales: $450 commission rate: 9%

Answers

$40.50¢

I used a website...

Solve the system of equations.

y = 7x + 43 y = 2x + 13

a. (-6, 1)
b. (6, -1)
c. (6, 1)
d. No solution

Please select the best answer from the choices provided ​

Answers

Answer:

a x=-6 y=1

Step-by-step explanation:

7x+42y=0

2x-y=-13

2
1
x
-5
-4 -3 -2 -1
1
2
3
4
5
1
-2
-3
-4
-5
-6
-8

Answers

Answer:

-1,123,593 i think this is you answer if it is to add, subtract, divide, and multiply.

What property is demonstrated below:

(2/3v) x 1 = 2/3v​

Answers

Answer:

Identity property of multiplication

Step-by-step explanation:

Identity property of multiplication: The product of 1 and any number is that number. For example, 7 × 1 = 7 7 \times 1 = 7 7×1=77, times, 1, equals, 7.

Plz Brain-list thanks...

The Identity Property Of Multiplication

The soda bottle below holds 16 ounces. What is the unit rate of the soda?

Answers

Answer:

16 oz per bottle

Step-by-step explanation:

Answer:

11.1 repeating per dollar

Pls Help ASAP
#8 only

Answers

Answer:

Domain: [tex]x\geq -8[/tex]

Range: [tex]y\geq 0[/tex]

Can someone please help me I’ve tried so many ways and still can’t get the answer.

Answers

Answer:

15.22

Step-by-step explanation:

The equation of the circumference of a circle is 2(pi)r

This is actually because 2pi is angle of the arc that makes up the full circle (radians of course)

so a simple formula is:

arc length in radians X radius

radius = 4 cm

the area that the question wants is the oposite

of the 142 degree section so 360 - 142 = 218

218 degrees *  (pi/180) = 3.80482 rad

3.80482 * 4 = 15.21928 cm

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