While on spring break, Kayla decided she wanted to go parasailing She was held at a constant angle above the water by a large tow rope attached to the back of the boat. The length of the tow rope is 240 meters. If the angle of the rope keeps Kayla at a horizontal distance of 181 meters away from the boat, how high above the boat is Kayla?

Answers

Answer 1

Answer:

157.6m

Step-by-step explanation:

Given

Horizontal distance = 181m

Length of the rope =240m

To know how high above Kayla was, we will use the Pythagoras theorem.

According to the theorem;

d² = x²+y²

x is the horizontal distance

y is the vertical distance

d is the length of the rope

Substitute

240² = 181²+y²

y² = 240²-181²

y² = 24839

y = √24839

y = 157.6m

Hence the boat is 157.6m above Kayla


Related Questions

Corey is 6 feet tall. There are 2.54 centimeters in 1 inch. What is corey’s height in centimeters

Answers

Answer:

He is 182.88 cm tall

Step-by-step explanation:

6×12= 72

72×2.54= 182.88

Not sure how to do this

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At the bottom of the graph it says year on on the table there is a label that says years putter coordinate point like it was a game of battle ship

what is the explicit formula for this sequence? -8, -3, 2, 7

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Answer:

an+9n-11

Step-by-step explanation:

Which pair of lines are perpendicular

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Answer:

D

Step-by-step explanation:

is -7.8 an irrational number

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Answer:

No.

Step-by-step explanation:

An irrational number has never-ending decimals.

A rational number can be written as a fraction or has a terminating decimal.

-7.8 can be rewritten into a fraction. Its decimal also terminates. Therefore, it is not irrational but rational.

Answer:

-7.8 is rational

Step-by-step explanation:

irrational numbers are nubers that repaet random numbers that you wont know what comes next like pi or the squar root of 2. hope this halps and can you take in consideration of giving me a brainliest?  Thank you

8x-13+4+1=90 helppppppp

Answers

Answer:

x = 49/4

Step-by-step explanation:

For f(x)=3x+1 and g(x)=x^2-6, find (fxg)(x).

3x^2-17

4x^2-6x-8

3x^3+x^2-18x-6

3x^3+x^2-6x-6

Answers

Answer:

3x+1+x^2-6

Step-by-step explanation:

(fxg)(x)= 3x+1+x^2-6

f(x) is = to 3x+1

and g(x) is = to x^2-6

so the answer would be 3x+1+x^2-6!

Which equation best represents the graph shown above

Answers

Answer:

Its y=-2(x-1)^2+6

Step-by-step explanation:

Answer = y= -2(x-1)^2+6

Lemme put y’all on this app called Cymath. It answers the questions and explains the steps

Answers

Thanks! Imma go check it out

Dylan is planting flower boxes to decorate the school entrance. He has 64 marigolds and 72 periwinkles. Each flower box must contain both flowers. He puts the same number of marigolds in each flower box, and the same number of periwinkles in each flower box. What is the maximum number of flower boxes Dylan can plant and how many marigolds and periwinkles will each flower box have?

Answers

Answer:

Dylan can plant maximum 8 plants.

Number of marigolds in each flower box  [tex]=8[/tex]

Number of periwinkles in each flower box  [tex]=9[/tex]

Step-by-step explanation:

Number of marigolds = 64

Number of periwinkles = 72

To find the maximum number of flower boxes Dylan can plant, find H.C.F of 64 and 72.

[tex]64=2^6\\72=2^3\,\,3^2[/tex]

So,

H.C.F(64, 72) = [tex]2^3=8[/tex]

That is Dylan can plant maximum 8 plants.

Number of marigolds in each flower box = [tex]\frac{64}{8}=8[/tex]

Number of periwinkles in each flower box = [tex]\frac{72}{8}=9[/tex]

Determine the value of x. images attached.

Answers

Answer:

The answer is option A

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of x

To find the value of x we can use either sine or cosine

Using sine we have

[tex] \sin(30) = \frac{5}{x} \\ x \sin(30) = 5 \\ x = \frac{5}{ \sin(30) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}[/tex]

Using cosine we have

[tex] \cos(60) = \frac{5}{x} \\ x \cos(60) = 5 \\ x = \frac{5}{ \cos(60) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}[/tex]

Hope this helps you

HELPPPPpPPPZZZ PLZZZZ I NEED HELLPP

Answers

Answer:

The triangles are lined up with their correct pairs already.

Step-by-step explanation:

The leg that is the base is always seen as the bottom, and the leg to the side of it that makes the right angle will always be the height. Though if the base is at the hypotenuse as it is seen in the last photo, the height will be from the point of which the two legs of the triangle meet down to the hypotenuse.

PLEASE HELPPPPPJohn and Kathy are shopping for their first home. Between the two of them, they feel they can afford a $1400 monthly house payment. The bank has already preapproved them for a 30-year loan with 5.4% interest. What is the maximum house price John and Kathy can afford?

Answers

Answer:

4860000

Step-by-step explanation:

just multiple the interest by monthly payment and then by 30

To create a model of an artery, a health teacher uses the scale 2.5 cm:0.75 mm. If the
diameter of the artery is 2.7 mm, what is the diameter on the model?
HELP PLS

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is 9 cm

Step By Step Explanation

Please help this has 15 points

Maria and Buzz both walk from their houses to the bus stop every morning. Maria walks 2.4 kilometers further, and together they walk 5.1 kilometers.

If Buzz walks a distance of m kilometers find the value of m.

Answers

Answer:

m = 1.35

Step-by-step explanation:

Buzz = m

Maria = m + 2.4

Together = 5.1

Equation:

m + m + 2.4 = 5.1

2m + 2.4 = 5.1

2m = 2.7

m = 1.35

So now:

Buzz = 1.35

Maria = 1.35 + 2.4 = 3.75

1.35 + 3.75 = 5.1

This solution is correct.

Hope this helps!

Gianna is paid $90 for 5 hours of work.
a. At this rate, how much would Gianna make for 8 hours of work?
b. At this rate, how long would Gianna have to work to make $600?

Use a ratio table to solve.

Answers

Answer:

a. $144

b. about 34 hours

Step-by-step explanation:

If Gianna is paid $90 dollars for 5 hours of work, that means that she is paid $18 an hour. So, 18x33 is 594, which means that 18x34 is $612.

SCory earns $20 per day plus $6 for every sale he makes. On Saturday, he wants to earn at least $50. Which best describes the number of sales he needs to make to reach his goal? (Hint: Write an inequality to find solution.)

Answers

Answer:

5 sales is the answer now give brainliest

Answer:

He would have to make 5 sales.

Step-by-step explanation:

To write this as an inequality, you would write it as 20 + 6(x).

Some students did treadmill workouts, each one running at a constant speed. Answer the questions about their workouts. Tyler ran 4,200 meters in 30 minutes. • Kiran ran 6,300 meters in 1 hour. . Mai ran 6.3 kilometers in 45 minutes. 2. At what rate did each of them run?

Answers

Answer:

rate of Tyler = 8.4 Km/hour

rate of Kiran = 6.3 Km/hour

rate of Mai = 8.5 Km/hour

Step-by-step explanation:

Rate is the speed with which each ran

speed = total distance covered/total time taken to cover that distance

we will use unit  km/hour for speed calculation

_____________________________________________________________

For Tyler

distance = 4200 m

1000 m = 1 km

4200 m = 1/1000 *4200 km = 4.2 KM

time = 30 minutes

60 mins = 1 hour

30 minutes = 1/60 *30 hour = 0.5 hours

thus,

speed/rate of Tyler = 4.2 KM/0.5 hours = 8.4 Km /hour

_____________________________________________________

For Kiran

distance = 6300 m

1000 m = 1 km

6300 m = 1/1000 *6300 km = 6.3 Km

time = 1 hour

thus,

speed/rate of Kiran = 6.3KM/1 hours = 6.3Km /hour

_____________________________________________________

For Mai

distance = 6.3 Km

time = 45 minutes

60 mins = 1 hour

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speed/rate of Mai = 6.3KM/0.75 hours = 8.5 Km /hour

What is the equation of the line that is perpendicular to y = -x + 4 and passes through
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Answers

Answer:

Try y=x²+4

Step-by-step explanation:

y=-x+4

when its perpendicular you change the -x to x. When you have a perpendicular equation flip the sign and if fraction flip the fraction as well but there isn't a fraction here so you just change the -x to a +x and then work out the problem like this

y-3=x(x- -1)

y-3=x²+1

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__________

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Answers

Answer:

[tex]y = - 2x + 5[/tex]

Step-by-step explanation:

Simply simplify the equation from what it is to the slope intercept format:

[tex]y = mx + b[/tex]

Step-by-step explanation:

Hey there!

We know;

The slope intercept form of equation is;

y = mx+c

So, let's try to take it in this form.

(y-1) = -2(x-2)

Multiply -2 and (x-2)

(y-1) = -2x + 4

Take '-1' to right side.

y = -2x+4+1

y = -2x+5

Therefore, the equation is y = -2x+5.

Hope it helps...

5,000,000
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What is this in scientific notation and standard form

Answers

Solution:

1. 5 x 10^6
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A truck can be rented from Company A for ​$160 a day plus ​$0.40 per mile. Company B charges ​$80 a day plus ​$0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer:

la respuesta correcta es $123.222per mile

Answer: T he number of miles in a day at which the rental costs for Company A and Company B are the same is when x = 160miles.

Step-by-step explanation:

Step 1

Let us  write the rental cost with each company:

Company A , they will charge =$160 +$ 0.40x

Company B, They will charge = $80 + $0.90x

Where x =number of miles travelled

Step 2

we then find the number of miles in a day at which the rental costs for Company A and Company B will be  the same by equating both equations and solving for x

160 + 0.40x= 80 + 0.90x

160-80 = 0.90x-0.40x

80= 0.50x

x= 80/0.5

x= 160

Therefore t he number of miles in a day at which the rental costs for Company A and Company B are the same is when x = 160 miles.

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Answers

Answer:

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Answers

Answer:

0

Step-by-step explanation:

1+2 = 3

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Answer:

16 8 * 2 = 16 <3

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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.Step-by-step explanation:

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Answer :

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

(Refer to picture)

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