design a waterskiing ramp. show how you can use direct variation to plan the heights of the vertical supports.
Answers
In designing the waterskiing ramp using direct variation the vertical supports, y will be related to the horizontal distance, x by a constant k, as in the relation
k = y/x
What is a constant of proportionality?The ratio between two quantities that are directly proportional is the constant of proportionality.
When two quantities grow and shrink at the same rate, they are directly proportional.
When y and x are two values that are directly proportional to one another, the proportionality constant k is defined as k=y/x.
In the problem, the distances between the vertical supports is x while the height of the support is y. To have a direct proportionality this relationship between x and y must be a constant say k.
Hence we say k = y / x
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Related Questions
A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and 2 tables is $22. The total cost to rent 3 chairs and 8 tables is $71. What is the cost to rent each chair and each table?
Answers
Answer:
The cost to rent each chair is $1.25 and the cost to rent each table is $8.50
Step by step:
A party rental company has chairs and tables for rent. The total cost to rent
A party rental company has chairs and tables for rent. The total cost to rent 4
chairs and 8
tables is $73
. The total cost to rent 2
chairs and 3
tables is $28
. What is the cost to rent each chair and each table?
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Edward C. answered • 02/10/15
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Let C = cost to rent each chair
Let T = cost to rent each table
4C + 8T = 73
2C + 3T = 28
Multiply the 2nd equation by (-2) and then add the equations together
4C + 8T = 73
-4C - 6T = -56
2T = 17
T = 17/2 = 8.5
Plug this in to the 1st equation to solve for C
4C + 8(17/2) = 73
4C + 68 = 73
4C = 5
C = 5/4 = 1.25
So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50
The cost to rent each chair and each table are $1 and $8.5 respectively.
Suppose the price of one chair =x
The price of one table =y
What is a linear equation?Any equation of the form ax+by+c=0 is called a linear equation where a, b, c∈ R.
According to the question, the total cost to rent 5 chairs and 2 tables is $22.
5x+2y=22
Multiplying it by 4 on both sides
20x+8y=88.......(1)
The total cost to rent 3 chairs and 8 tables is $71.
3x+8y=71.........(2)
Subtracting (2) from (1)
17x=17
x=1
So, y=8.5
So, the price of 1 chair =$1
the price of 1 table =$8.5
Hence, the cost to rent each chair and each table are $1 and $8.5 respectively.
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Find the lowest common multiple. 4 and 22
Answers
Answer:
44
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
hope this helps
Ron purchases $32,000 worth of stock on his brokers advice and pays his broker a 1.25% broker fee. How much did he pay his broker! Show work please !!
Answers
factor the expression below
x^2-49
Answers
Answer:
(x+7)(x-7)
Mark my answer as Brainlist.
Need help!!!! ahaaaaaa
Answers
Answer:
Not sure if I am right but this is what I did. I have attached a picture of me solving the equation. Hope this helps, thank you !!
What is the answer to 10x2x5%20
Answers
Answer:
ITS 0
Step-by-step explanation:
The shadows of two vertical poles were measured at the same time to be 6m and 15m long. If the first pole is 8cm long, find the height of the second pole
Answers
Answer:
20 cm
Step-by-step explanation:
Shadow of vertical poles : 6m ; 15m
Length of poles : 8cm ; h
8cm long pole = shadow length, 6m
h cm long pole = shadow length, 15 m
Using cross multiplication :
8cm * 15 m = h cm * 6m
120 = 6h
h = 120 / 6
h = 20 cm
Height of second pole = 20cm
Two learners are planning to make baskets to raise money for the honors society at their school. Marcia will make baskets out of palms. Norma plans to make baskets out of pine straw. Together, they have $100 to spend on supplies.
The palm baskets cost $4 to make and will sell for $20.
The pine straw baskets cost $3 to make and will sell for $17.
The learners agree that they will each make at least 14 items. Let x represent the number of palm baskets and let y represent the number of pine straw baskets.
Answers
Answer:
3
Step-by-step explanation:
Pretty sure it is the third but sorry if im incorrect
In ΔJKL, l = 920 inches, j = 880 inches and ∠K=157°. Find the length of k, to the nearest inch.
Answers
Answer:
1764
Step-by-step explanation:
Answer:
1764
Step-by-step explanation:
Delta Math
Lita has 4 bananas and Liza has 8 bananas. They give some bananas to their
friends. What is the biggest number of bananas each of their friends get if each of
them receive the same number of bananas?
1. What is asked for in the problem?
2. How will you solve the problem?
3.What is the answer to the problem?
Eggs are sold in trays of 4 and 6. What is the smallest number of eggs that can
be sold using the trays?
4.How will you solve the problem?
5.What is the answer to the problem?
pa help po please kailangan na po kase e
Answers
Answer:
hi kpop fan
Step-by-step explanation:
she is blackpink jisoo in your profile pick right
Answer:
they will receive 4 banana
Need help ASAP giving 55 points and a branlist
Answers
Answer:
There are 54 squares on a rubix cube
Step-by-step explanation:
each side has 9 squares, and there are 6 sides, so you multiply 9x6 wich equals 54, so your answer would be
54 squares
Hope this helps! :)
Whos your favorite character from Miraculous Ladybug?! mines Alya and of course cat noir he kinda cute
Answers
Answer:
CAT NOIR
He's cool and my cousin's fav characters LOL
Step-by-step explanation:
um, he's cool i guess?
Answer:
I like Mari and Luca bc he is rlly cute for me
Please answer please.
Answers
Answer:
Triangles are not similar.
Step-by-step explanation:
Properties of the similarity of two triangles,
1). Corresponding angles of two triangles are equal in measure.
2). Corresponding sides of the similar triangles are proportional.
From the given triangles,
- Corresponding angles of the given triangles are not equal in measure.
- Ratios of the corresponding sides,
[tex]\frac{KM}{XY}=\frac{CM}{RY}= \frac{KC}{XR}[/tex]
[tex]\frac{53}{53}= \frac{54}{53}= \frac{64}{53}[/tex]
But these ratios are not equal.
Therefore, both the triangles are not similar.
Help me plsssssssssssssssssssssssssssssssssss
Answers
Answer:
One inch would represent 100 miles
Answer: 1 inch is 100 miles
Step-by-step explanation:
1/4 times 4 is 1 right so 25*4=100
Answer the photo below thanks
Answers
Answer:
C. 36 degrees
Step-by-step explanation:
90 + 54 = 144
180 - 144 = 36
you were correct
180 - 90 - 54 = 36.
You selected the right answer.
Graph the image of rectangle EFGH after a reflection over the line x= –1
Answers
Answer:
G (1,7)
H (2,7)
F (1,-1)
E (2,-1)
Step-by-step explanation:
The image of rectangle EFGH after a reflection over the line x = –1 will cover the points G (1,7), H (2,7), F (1,-1), and E (2,-1).
What is a translation?The process of changing the location of the image on the coordinate system will be known as the translation. A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that graph the image of rectangle EFGH after a reflection over the line x= –1. Translated image of the points is attached with the answer below. The translated points are G (1,7), H (2,7), F (1,-1), and E (2,-1).
Therefore, the image of rectangle EFGH after a reflection over the line x = –1 will cover the points G (1,7), H (2,7), F (1,-1), and E (2,-1).
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Factorize:36 X ^2 + 36 X + 8 / 2 x - 1 pls help me answer thisssss by tonight plsss
Answers
Answer:
36X2 + 40X − 1 = 0
Four students are reading books with different numbers of pages. The table shows the number of pages each student has read. Drag each name to order the students from the lowest percentage of their book read to the highest percentage of their book read. Pages Read Total Number of Pages Elliot 105 175 = Elliot Frankie 165 300 Hayden 88 220 = Frankie Ruth 117 260 = Hayden = Ruth
Answers
Answer:
i think is 434.54
Step-by-step explanation:
Answer:
434.54
Step-by-step explanation:
Convert 64°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
C= 5 (F-32)
P=C+32
Answers
Celsius = 17.7
Help me please, I’m a freshman taking a tenth grade course. I’m lost :/
Answers
Answer:
what is the question? Please ask a question.
Help a dum person out?
Answers
Answer:
150 i think i dont really understand this question either sorryyy <3
Step-by-step explanation:
bc it has to be less than 150 but the answer also has to be more than 138 so i hope that helped more than the answer i put :)
Answer:
I think It was 123
Step-by-step explanation:
Because i try to add it all four then divide it unto 5 so it was the result but I'm not sure about my answer maybe it will help :)
Sheila is flying a kite with a string that makes a 59-degree angle with
the sand. If the height of the kite above the ground is 97 feet, how
long is the string? (Please use the exact ratio to calculate the missing
side and round your answer to the nearest hundredth.)
Answers
I'm assuming we're looking for the hypotenuse?
[tex]sin = \frac{opp}{adj} [/tex]
[tex] \sin(59) = \frac{94}{hyp} [/tex]
[tex]hyp = \frac{94}{ \sin(59) } [/tex]
[tex]hyp = 109.6635393382 feet[/tex]
The string is 109.66 feet long.
Taylor is decorating for a party. She cuts 5 equal-length streamers from a strip of yellow paper that is 9 feet long.?
Answers
Answer: 1 4/5 feet
Step-by-step explanation:
Here's the complete question:
Taylor is decorating for a party. She cuts 5 equal-length streamers from a strip of yellow paper that is 9 feet long. How long is each streamer in fraction form?
The length of each streamer will be gotten by dividing the length of the strip of yellow paper by the number of streamers. This will be:
= 9 feet / 5
= 1 4/5 feet
Therefore, the length of each streamer is 1 4/5 feet.
what is the error in this polynomial x²+9=(x+3)(x+3)?
Answers
Answer:
(x + 3i)(x - 3i)
Step-by-step explanation:
Wrong statement: x² + 9 = (x + 3)(x + 3)
Correct statement: x² + 9 = x² - (3i)² = (x + 3i)(x - 3i)
7x< 21 Im on khan academy so i need help
Answers
Answer:
x< 3
7x<21
Divide each term in 7x<21 by 7.
Cancel the common factor of 7.
Divide 21 by 7.
The result can be shown in multiple forms.
Inequality Form:
x< 3
Interval Notation:
(−∞, 3)
Help me out plz ????
Answers
96 cm^2
Each side has an area of 24 cm^2, so just multiply that by 4
yo 20 points! pls help me out
Answers
Answer:
the top one would be -40x+24, bottom one is x=12
Step-by-step explanation:
uwu
Answer:
a. -40x + 24
b. x = 4
Step-by-step explanation:
-8 * 5x = 40x, -8 * -3 = 24
-5 * -x = 5x
-5 * 4 = -20
40 - 20 = 20
20/5 = 4
3. Use distributive property to simplify
a. (-6) * [(-12) + (25)]
C. (+6) * [(-17) + (+28)]
e. (+7) * [(-12) – (+6)]
Solve this answer with solution please
Answers
Answer:
see the answersStep-by-step explanation:
to understand thisyou need to know about:PEMDAStips and formulas:orders of PEMDAS:
parenthesesexponentmultiplication ordivisionaddition orsubstractionleft to rightlet's solve:a)
remove first parentheses and add: -6×[-12+26] =-6×[14]remove third parentheses and multiply:-6×14=-84c)
remove first parentheses and add:(6)×[-17+28]=6×[11]remove third parentheses and multiply: 6×11=66e)
remove first parentheses and substract:7×[-12-(6)]=7×[-12+(-6)]=7×[-18] multiply:7×[-18]=-126PLE HELP ASAP
WILL MAKR BRAINLIEST
Answers
Answer:
no
Step-by-step explanation:
bc in order for the size of a pack to be represented as the function of ots price, you need to have the same ratio for every pack
but if you do the math
2.30/1000=0.0023
1.70/850=0.002
they do not have the same ratio
so no
5 years ago, john was half the age he will be in 8 years. How old is he?
Answers
Answer: John is now 18 years old
Step-by-step explanation:
Let, John's age is now x years.
5 years ago, he was (x - 5) years old
In 8 years, he will be (x + 8) years old
By the given condition,
x - 5 = 1/2 (x + 8)
⇒ 2 (x - 5) = x + 8
⇒ 2x - 10 = x + 8
⇒ 2x - x = 8 + 10
⇒ x = 18