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:
Option (4)
Step-by-step explanation:
From the figure attached,
Length of the rope holding Kayla to the boat = 240 meters
Horizontal distance of Kayla from the boat = x = 181 meters
Let the distance of Kayla above the boat = y meters
Triangle formed is a right triangle. Therefore, by applying Pythagoras theorem in the given triangle,
x² + y² = (240)²
(181)² + y² = (240)²
y = [tex]\sqrt{57600-32761}[/tex]
= [tex]\sqrt{24839}[/tex]
= 157.6 meters
Therefore, vertical distance between Kayla and boat is 157.6 meters.
Option (4) will be the answer.
Related Questions
If it took 7 hours to mow 4 lawns, then at that rate how many lawns can be mowed in
35 hours?
Answers
Answer: I'm pretty sure they mowed 61 lawns
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
first divide 4 by 7 to see how much lawn ncan be mowed in an hour
4/7=0.5714
multiply by 35 = 19.9999
so almost 20 lawns
help pls . .. a a z z z z . zz
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Answer:
the lines are perpendicular
So sorry if it’s wrong
Help, please. I will give brainliest to anyone that answers first.
Answers
Answer:
5000 I think bc 5 times 1000 is 500
Answer:
Step-by-step explanation:
1000 meter = 1 kilometer
1 km= 1000 meter
constant proportionality
y/x=k
y is km , x is meter
1/1000=k
y=1/1000 x (x is the number of meters)
meter Km
250 0.25
12 12/1000=0.012
1 1/1000
kilometer meter
5 5000
20 20000
0.3 300
i need help plz thank you
Answers
Answer:
8 times blank = 48
Good luck!!!
solve for x: 1/2(x-10)=3/4(x+20)
Answers
Answer:
x = -80
Step-by-step explanation:
[tex]\frac{1}{2}(x-10)=\frac{3}{4}(x+20)\\\\\\\frac{1}{2}x-\frac{1}{2}*10=\frac{3}{4}x+\frac{3}{4}*20\\\\\\\frac{1}{2}x-5=\frac{3}{4}x+3*5\\\\\\\frac{1}{2}x-5=\frac{3}{4}x+15\\\\\\\frac{1}{2}x-5-15=\frac{3}{4}x\\\\\\\frac{1}{2}x-20=\frac{3}{4}x\\\\\\-20=\frac{3}{4}x-\frac{1}{2}x\\\\\\-20=\frac{3}{4}x-\frac{1*2}{2*2}x\\\\\\-20=\frac{3}{4}x-\frac{2}{4}x\\\\\\-20=\frac{1}{4}x\\\\\\-20*4=x\\\\\\x = -80[/tex]
What is an equation of the line that passes through the points
(0,8) and
(−8,−4)? Put your answer in fully reduced form.
Answers
y+4 = 1.5 (x+ 8)
y+4 = 1.5x + 12
1.5x - y = -12+4
1.5x - y = -8
Answer:
Answer given in the photo
23.79 divided by 3 estimate
Answers
Answer:
Answer: 7.93
Estimate: 8
Answer: 7.93, or to the nearest tenths, 7.9
Express x in terms of y:
3(x + 2y) = 2x = 5y
Answers
Answer:
-6y=x
Step-by-step explanation:
3x+6y=2x=5y
Subtract 5y from all
3x+y=2x-5y
subtract y and 2x from both sides
x=-6y
The sun produces 3.8 * 10 to the 27 power joules of energy per second. How much energy is produced in a year?
Answers
Answer:
1.20 × 10^35
Step-by-step explanation:
There are 60 seconds in 1 min and there are 60 mins in 1 hour. So in an hour there are 60 × 60 = 3600 seconds. There are 24 hours in a day. In a day, there are 3600 × 24 = 86400 seconds. A year is 365 days. So in a year there are 86400 × 365 = 31536000 seconds.
[tex](3.8 \times {10}^{27}) \times 31536000 = 1.20 \times {10}^{35} [/tex]
If BC measures 8 inches, the approximate area of circle B is
square inches.
Answers
The area of the circle radius as 8 inches will be 201.062 inches².
What is a circle?A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
In our daily life, we always see circular objects for example our bike wheel.
The longest line which can be drawn inside the circle will be the diameter.
Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.
Given the circle with a radius BC of 8 inches.
Area of circle = πr² where r is the radius of the circle.
So,
Area = π(8)² = 201.062 inches.
Hence "The area of the circle radius as 8 inches will be 201.062 inches².
To learn more about the circle,
https://brainly.com/question/266951
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The given question figure is missing the figure has been attached below;
Sarah is having a party with 30 people. She has 212 large pizzas at the party. She gives equal amounts of pizza to each person. What fraction of pizza does each person get?
Answers
Answer: Everyone would get about 7 pizzas
Step-by-step explanation:
I did 212 divided by 30 which is 7.06666666667 which is closest to 7 then 8 so the answer would be 7. I know this is about right because 7 times 30 is 210 which is closest to 212 then 8*30 which is 240.
how to find the square root of 1225
Answers
Hope i helped
Answer:
35
Step-by-step explanation:
The square root is 35 because if you multiply 35 times 35 ([tex]35^{2}[/tex]), it would equal 1225.
Hope this helps and pls do mark me brainliest if you can:)
what type of number is -15
Answers
Answer:
an integer
Step-by-step explanation:
integers are whole number that includes positive number, negative numbers, and zero
What is the missing exponent? and the numerical answer
Answers
Answer:
? = -4
Step-by-step explanation:
Answer for brainliest!!!! YOU CAN DO IT!!!
Answers
what is the question pls.
can you pls tell me
ARF HELP PLS RN jdsodjksldkdks
Answers
PLEASE HELP ASAP!! I'LL GIVE YOU BRAINLIEST!!
Answers
Answer:
-5
Step-by-step explanation:
This is the correct answer, I messed up at first so I edited it. (my bad)
slope of one dotted lines:
slope of the reflection line:
Answers
Answer:
Slope of dotted lines: 1
Slope of reflection line: -1
Step-by-step explanation:
For the dotted lines, the rise up by one unit and run for one unit, thus their slopes are 1.
For the reflection line, it does the same thing as the dotted line, but instead of rising one unit, it goes down for one unit and runs for one unit, making its slope -1.
The cost y (in dollars) for x yards of fabric is represented by y=4x. Graph the equation.
Answers
Answer:
(0,0) (1,4) See the explanation below for the graph.
Step-by-step explanation:
f (0) = 4 x 0 = 0
f (1) = 4 x 1 = 4
(0,0) (1,4) * Remember X1 and Y1, X2 and Y2.
Write the equation of the line that passes through the point (3,5) and is perpendicular to the line y=3.
x=3
y=5
x=2
y=3
Answers
Answer:
x = 3
Step-by-step explanation:
y = 3 is the equation of a horizontal line parallel to the x- axis.
A line perpendicular to it must therefore be a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (3, 5) with x- coordinate 3 , thus
x = 3 ← equation of perpendicular line
Vinnie is 1/2 as old as Julie Julie is 24 how old is vinnie
Answers
Answer:
Vinnie is 12.
Step-by-step explanation:
24 divided by 2 is 12
A fraction is the representation of a decimal number so the fraction of 1/2 of 24 is 12 thus its age of Vinnie is 12 years.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
In another word, the fraction is the division of the two numbers, but the division is not wholly complete.
For example, 1/3 is a fraction and in decimal, it is 0.333. Here 1 will be called a numerator while 3 will be the denominator.
Given that,
Age of Julie = 24 years
Age of Vinnie = 1/2 of 24
The 1/2 fraction of 24 will be
⇒ 24/2 = 12 years.
Hence "The fraction of 1/2 of 24 is 12 thus the age of Vinnie is 12 years".
For more about fractions,
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What is the value of x?
(5х)
110°
110°
70
14
Answers
Answer:
The answer to your question is :The value of 5× = 110°
Jacob spent $10 of the $25 in his wallet write a decimal that represents the fraction of the $25 Jacob
Answers
Answer:
0.4, incase you want it, it also is 40% and [tex]\frac{2}{5}\\[/tex].
Step-by-step explanation:
10/25 =0.4
Hope this helped :D
Marsha gave the cashier 20 to pay for 3 pairs or socks.
Answers
First, you must subtract.
$20 - $5.03 = $14.97This is because he recieved $5.03 in exchange.
Next, you must divide by 3.
$14.97 / 3 = $4.99
Therefore each pair of socks costs $4.99.
Hope this helps!
Drag the cards to create a number that matches these rules.
The number ends in the tenths place.
8 is the nearest one when rounding
Answers
HURRY UP NEED HELP
7. Find the equation of a line that fits the data shown in the graph below.
Answers
Answer:
y=-x+3/2, I hope that I hoped, and by the way, it is NEGATIVE x. It's a little hard to see :P
Answer:
y=2x + (-1)
Slope is m=2 and the y-intercept is b= -1
The sum of -3/8 and 2 2/3
Answers
Answer:
27/24 or (Decimal: 2.291667)
Step-by-step explanation:
Write an equation in slope-intercept form if the y-intercept is (0, -4) and the slope is 6?
Answers
Answer:
y=6x-4
Step-by-step explanation:
for the y=mx+b format your m is the slope which is 6 and the b is the y intercept which is the 4
I can’t answer this question
Answers
9514 1404 393
Answer:
3
Step-by-step explanation:
The radicals get in the way a bit, so we can define ...
x = √p
y = √q
Then the equation is ...
(x +y)/(1-x) = (4x+y)/(1-x^2)
Multiplying by (1-x^2), we have ...
(x +y)(1 +x) = 4x +y . . . . . . using 1-x^2 = (1-x)(1+x) the 1-x factor cancels
x^2 +xy +x +y = 4x +y . . . eliminate parentheses
x(x +y) = 3x . . . . . . . subtract (x+y)
x +y = 3 . . . . . . . . . . divide by x
This is the sum we're looking for:
√p +√q = 3
Answer: The answer is 3
Step-by-step explanation:
write an expression for a number that is 5 times greater than 2
For pre-algebra class
Please help thanks i need it thanks a lot for helping me thank you alot
Answers
Answer:
x = 5x > 2
or just 5x > 2 ya its that
Step-by-step explanation: