The wind force f on a sail varies jointly as the area a of the sail and the square of the wind speed w.



the force on a sail with area an area of 500 ft2 is 64. 8 pounds when the wind speed is 18 mph. what



would be the force for a sail with an area of 250 ft? with a wind speed of 35 mph.



how would you solve this problem? what would your answer be?



response:

Answers

Answer 1

Answer:

  122.5 lbs

Step-by-step explanation:

The relation between force, wind speed, and area can be written ...

  f = ks²a

for some wind speed s and area a.

__

The constant of proportionality, k, can be found from the given data.

  64.8 = k(18²)(500) . . . force in pounds, area in square feet, speed in mph

  k = 64.8/(324×500) = 0.0004

__

Using the equation with the second set of data, we have ...

  f = 0.0004(35²)(250) = 122.5 . . . . pounds

The force on the 250 square foot sail would be 122.5 pounds.


Related Questions

In a video game, the player can choose a character from 4 animal characters and 3 human characters. Players can also let the computer randomly select a character for them. The player will have the computer randomly select his character. What is the probability it will pick a human character? Enter your answer as a fraction in simplest form in the box. PLEASEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

The probability of selecting the human characters will be equal to 3 / 7.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that:-

The player can choose a character from 4 animal characters and 3 human characters.

The probability will be calculated as:-

Probability = 3 / (3+4)

Probability = 3 / 7

Therefore the probability of selecting the human characters will be equal to 3 / 7.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ1

5TH GRADE WORK HELP PLEASE I DON'T KNOW HOW TO DO THIS

Answers

Answer:

1 yard = 3 feet

We will need to multiply the yard lengths by 3 to convert the measurements to feet.

8 feet x 3 = 24 yards  >>>> 8 ft = 24 yards

6 feet x 3 = 18 yards  >>>> 6 ft = 18 yards

5 feet x 3 = 15 yards  >>>> 5 ft = 15 yards

Then you would do Length x width x depth x 7.5 (Since there are 7.5 gallons in each cubic foot, multiply the cubic feet of the pool by 7.5 to arrive at the volume of the pool, expressed in gallons.)

So...

24 x 18 x 15 x 7.5 =

48, 600

I hope this helps and this helps and I hope this is the answer you needed.

Part D
What is the probability of the next wolf caught in the park being unmarked? Write the probability as a fraction, a decimal number, and a percentage.
Animal Total in Park Number Marked
elk 5,625 225
wolf 928 232
cougar 865 173
bear 1,940 679
mountain goat 328 164
deer 350 105
moose 215 86

Answers

Answer:

636/928 = 137/200

0.685

68.5%

Step-by-step explanation:

Simplify 3(2x+6)+4x-1

Answers

10x + 17 use PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)

Answer: 10+17

Step-by-step explanation:

Distribute:

3(2+6)+4−1

6+18+4−1

Subtract the numbers:

6+18+4−1

6+17+4

Combine like terms:

6+17+4

10+17


solution:

10+17

Please help me!!!!!! Thanks!!!!!!!!!!

Answers

Answer:

See below ~

Step-by-step explanation:

Question 4

Finding the lateral area :

⇒ Lateral area = 2πrh

⇒ Lateral area = 2π(8)(20)

Lateral area = 320π cm²

===============================================================

Finding the surface area :

⇒ Surface area = Lateral area + 2 × area of the circle

⇒ Surface area = 320π + 2 × π(8)²

⇒ Surface area = 320π + 128π

Surface area = 448π cm²

=============================================================

Question 5

⇒ In this scenario, the part that is painted is the lateral area

⇒ Area painted = 6 × 4 × 170

⇒ Area painted = 24 x 170

Area painted = 4,080 mm³

SOMEBODY PLS HELP ME

Answers

Answer:

I would say 6m because i measured the side that is labeled 6m, and DE is also 6m.

( I hope I'm right ^^)

( I hope this helps ^^)

6x + 12 = 3+3x


I'll give 25 points...

Answers

Step-by-step explanation:

Question:-6x + 12 = 3+3x

Answer:- 6x + 12 - 3 - 3x=0

6x-3x+12-3=0

3x+9=0

3x=-9

x=-9/3

x=-3

Hope this helps you

Have a nice day

Answer:

x = -3

Step-by-step explanation:

6x + 12 = 3+3x

6x + (12-12) = (3-12)+3x

(6x-3x) = (3x-3x)-9

3x/3 = -9/3

X=-3

-2(8f+9)-6n use f=5 and n=7

Answers

Answer: Correct me if I am wrong, but this is how I think you should solve it.

Step-by-step explanation:

1. Simplify 8×5 to 40.

−2×(40+9)−6×7


2. Simplify 40+9 to 49.

−2×49−6×7


3. Simplify −2×49 to −98.

−98−6×7


4. Simplify 6×7 to 42.

−98−42


5. Simplify

−140

Your all done! Hope this helps.


3. In which quadrant do lines land m Intersect?
m
A. Quadrant !
B. Quadrant II
C. Quadrant III
D. Quadrant IV

Answers

Answer:

Quadrant 3 so the answer should be c

Suvam fixed the price of a watch as Rs. 1200 and he sold it allowing a discoiunt of 15% and made a profit of Rs. 120. What was the cost price of the watch? Find it.​

Answers

15% of 1200 = 180
1200-180= 1020

to find the cost price use the discounted price and take it away from the original, then use the profit take away the discounted price.

1020-120=900
the cost price of the watch is Rs. 900

Triangle ABC has vertices A(-4, 3), B(2, 3) , C(-5, 1). A dilation with a scale factor of 5 and center at the orgin is appiled to this triangle.
What are the coordinates of C' in the dilated image? Enter your answer by filling in the boxes​

Answers

Answer:

C' (- 25, 5 )

Step-by-step explanation:

since the dilatation is centred at the origin, then multiply each of the coordinates by the scale factor 5

C (- 5, 1 ) → C' (5 × - 5, 5 × 1 ) → C' (- 25, 5 )

There is a bag with only red marbles
and blue marbles.
The probability of randomly choosing
a blue marble is
7/9
There are 63 marbles in total in the
bag and each is equally likely to be
chosen.
Work out how many red marbles there
must be.

Answers

Answer:

14 red marbles.

Step-by-step explanation:

If I am reading this correctly, since the probablitly of choosing a blue marble is 7/9, then 7/9 of the bag must be blue marbles. That amounts to 7/9*63=49 and the bag containing 49 blue marbles. Therefor, 63-49=14 is the number of red marbles in the mag.

SURFACE AREA QUESTION: the cargo area of the moving truck will be completely filled by 45 identical cube-shaped boxes. What will be the Surface area of one layer of boxes on the floor of the truck bed. (the truck has a height of 6 ft, a length of 6ft, and a width of 10ft.)​

Answers

I believe it is 312, hope this helps, sorry if it doesn't!:)

someone help this is so confusing

Answers

I mean im prob in a lower grade then you so i'd say b?

Use the function below to find F(-4) F(x) = 2^x

Answers

To answer this item, note that what needs to be done is to substitute -4 to all x's in the equation. That is,

                    F(x) = 2^x

will become,

                    F(-4) = 2^(-4) = 1/16 or 0.0625

What does this math statement tell us?
ΔΑΒC ~ ΔΧΥΖ
PLS HELP I WILL MARK BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

~ symbol refers to similarity. ∆ABC ~∆XYZ means that the two triangles are similar(Same shapes, not the same size).

Answer: B) Triangles ABC and XYZ are similar, this means their side lengths are proportional to each other.

A soup can has a diameter of 8 cm and a height of 12 cm. What is the volume of the soup can? Use 3. 14 for Pi. A cylinder has a height of 12 centimeters and diameter of 8 centimeters. 192. 00 cubic centimeters 301. 44 cubic centimeters 602. 88 cubic centimeters 2,411. 52 cubic centimeters.

Answers

Answer:

The volume of the soup can is 602. 88 cubic centimeters

Step-by-step explanation:

Volume of a cylinder = π {r} ^{2} h

Where π = 3.14

r = diameter ÷ 2

r= 8 ÷ 2

r= 4 cm

h= 12 cm

Volume of the soup can= 3.14 × 4 × 4 × 12

= 602. 88 cubic centimeters

(3x+8) (x + 4) need help solving the problem

Answers

Answer:

3x^2 [squared] + 20x + 32 (If your factoring)

Step-by-step explanation:

3x X x = 3x^2

3× X 4 = 12x

8 X x = 8x

8 X 4 = 32

Which statements are true? check all that apply. the total possible outcomes can be found using 52c5. the total possible outcomes can be found using 52p5. the probability of choosing two diamonds and three hearts is 0.089. the probability of choosing five spades is roughly 0.05 the probability of choosing five clubs is roughly 0.0005.

Answers

A deck of playing cards has four suits, with thirteen cards in each suit consisting of the numbers 2 through 10, a jack, a queen, a king, and an ace. The true statements about the cards are

The total possible outcomes can be found using 52C5. The probability of choosing five clubs is roughly 0.0005.

What is Probability?

Generally,  Probability is simply defined as the position or attribute of being likely.

In conclusion, The accurate assertions are: The total number of potential outcomes may be calculated using 52C5, and the chance of selecting five clubs is around 0.0005.

CQ

A deck of playing cards has four suits, with thirteen cards in each suit consisting of the numbers 2 through 10, a jack, a queen, a king, and an ace. The four suits are hearts, diamonds, spades, and clubs. A hand of five cards will be chosen at random. Which statements are true? Check all that apply. The total possible outcomes can be found using 52C5. The total possible outcomes can be found using 52P5. The probability of choosing two diamonds and three hearts is 0.089. The probability of choosing five spades is roughly 0.05 The probability of choosing five clubs is roughly 0.0005.

Read more about probability

https://brainly.com/question/795909

#SPJ4

Answer:

A & D

Step-by-step explanation:

E2020 Geometry B!! :33

Ac and db are chords that intersect at point h. a circle is shown. chords a c and d b intersect at point h. the length of a h is 20 minus x, the length of h b is 12 minus x, the length of d h is x 4, and the length of h c is x. what is the length of line segment db? 4 units 8 units 16 units 20 units

Answers

The chords ac and db are intersecting chords, and the length of line segment db is 16 units

How to determine the length of segment db?

The given parameters are:

ah = 20 - x

hb = 12 - x

dh = x + 4

hc = x

Start by calculating the value of x using the following intersection chord equation

ah * hc = dh * hb

So, we have:

(20 - x) * x = (x + 4) * (12 - x)

Solve for x

x = 4

The length of segment db is calculated using:

db = dh + hb

So, we have:

db = x + 4 + 12 - x

Substitute 4 for x

db = 4 + 4 + 12 - 4

Evaluate

db = 16

Hence, the length of line segment db is 16 units

Read more about intersecting chords at:

https://brainly.com/question/13950364

#SPJ4

Answer:

c

Step-by-step explanation:

Evaluate 1/x^-2 for x= 7.
-49
49
1/49
Please help
And thx but HURRY

Answers

Answer: 49

Step-by-Step Explanation:

As we can see, we have been given a negative exponent for “x”. Hence we have to take the reciprocal which would be x squared.


Therefore, x = 7
= x^2 = 7 * 7
= 49

Answer:

49

Step-by-step explanation:

Simplify the expression such that the variable has a positive exponent.

[tex]\frac{1}{x^{-2} }[/tex]x² [negative exponent is taken to the other side]

Substitute x = 7.

(7)²49

Find m I need helppp pleasee !!!

Answers

Answer:

hope this will help you (✿^‿^)

Step-by-step explanation:

by Pythagorean theorem

h²=p²+b²

12²=9²+b²

b²=12²-9²

b=√63

b=7.9372

Need to know this asap number 6 and 7

Answers

The equation that does not assign one value to y is [tex]\frac 5y = 7x + \frac{10}{2y}[/tex] and the points that do not represent a function is (c)

The equation that does not assign one value to y

To do this, we simply make y the subject of formula.

So, we have:

[tex]\frac 5y = 7x + \frac{10}{2y}[/tex]

Simplify

[tex]\frac 5y = 7x + \frac{5}{y}[/tex]

Subtract 5/y from both sides

[tex]0 = 7x[/tex]

Rewrite as:

[tex]x = 0[/tex]

This means that the value of x is 0 irrespective of the value of y

Hence, the equation that does not assign one value to y is [tex]\frac 5y = 7x + \frac{10}{2y}[/tex]

The points that do not represent a function

For a set of point to represent a function, the points must represent a one-to-one or many-to-one relationship.

From the list of options, option (3) represents a one-to-many relationship.

This is so because one x value has 3 y values

Hence, the points that do not represent a function is (c)

Read more about functions and relations at:

https://brainly.com/question/6904750

#SPJ1

SOMEONE PLEASE HELP ME I WILL LOVE YOU FORVER

Answers

Answer:

A. OEO, EOE, EEE, EEO, OOE, OEE

A (probability). [tex]\frac{3}{4}[/tex]

B. OEO, EOE

B (probability). [tex]\frac{1}{4}[/tex]

C. EOE, EEE, OOE, OEE

C (probability). [tex]\frac{1}{2}[/tex]

hope this helps:)

Answer:

A. OEO, EOE, EEE, EEO,  ------- (probability).  3/4

B. OEO, EOE ------(probability). 1/4

C- EOE   --------------(probability). 1/4 aswell

Step-by-step explanation:

Sorry it took so long

I hope this helps C:

One container of lemonade mix weighs 2.33 kilograms. How much will 7 containers weigh?

Answers

Answer:

16.31 kg.

Step-by-step explanation:

2.33 * 7

Which of the following BEST describes how to use the addition property of equality to isolate the variable y
below?
y-12 = 14
A. add 12 to the left side of the equation only
B. subtract 12 from the left side of the equation only
C. add 12 to both sides of the equation
D. subtract 12 from both sides of the equation
Please select the best answer from the choices provided
Ο Α
ОВ
С

Answers

Answer:  C) add 12 to both sides

Reason:

We add 12 to the left side to undo the -12, which will get y by itself.

We must do the same thing to both sides to keep things balanced.

8.2.PS-10
8.8 cm
A company is designing a new cylindrical water
bottle. The volume of the bottle will be 198 cm³.
The height of the water bottle is 8.8 cm. What is
the radius of the water bottle? Use 3.14 for .
The radius of the water bottle is about
cr
cm. (Round to the nearest tenth as needed.)
Questio

Answers

Answer:

Step-by-step explanation:

Givens

Volume = 198 cm^3h = 8.8 cmpi = 3.14r = ?

Formula

V = pi * r^2 * h                                         Substitute givens into formula

Solution

198 cm^3 = 3.14 * 8.8 * r^2                     Combine the right

198 = 27.632 * r^2                                  Divide both sides by 27.632

198 / 27.632 = 27.632 * r^2 / 27.632

7.1656 = r^2                                            Switch the equation

r^2 =  7.1656                                           Take the square root of both sides

√r^2 =  √7.1656  

r = 2.6768

Answer

r = 2.7 rounded to the nearest tenth

Find the interquartile range (IQR) of the data in the dot plot below. ms orlando

Answers

Answer:
1.75
Step-by-step explanation:
Low- 81
Q1-82.5
Median- 83.5
Q3-84
High- 85

Simplify
[tex]\sqrt{25-10\sqrt{3} +3}[/tex]

Answers

Answer:

The given equation is expansion of (a-b)²= a²-2ab+b²

[tex]\sqrt{25-10\sqrt{3} +3} \\ \sqrt{ {(5 - \sqrt{3})}^{2} } \\ (5 - \sqrt{3})[/tex]

I need the answer soon please help. 20 points
Divide. −3 6/8 Enter your answer as a mixed number, in simplified form, in the box.

Answers

Answer:

The solution is in the image

Other Questions
what is 2 times 2 times 5 times 6 divided by 3 and subtracted 3 and plus 1? State the center coordinate and radius length of the circle: x^2 + y^2 - 8x + 12y + 40 = 0 Find the empirical formula of a compound containing 26.56% potassium, 34.51% chromium, and the remainder oxygen. 17. These are some of the challenges teen parents face. (1 point)O financial burdens, exhaustionO unlimited social lifeO finding a dateO having private time HELPPP!! Ill give brainliest (more dangerous) in a sentence Alice thinks that she is the president's illegitimate daughter If the volume is 7 and the density is 1.420 what's thr mass any help?? please :)) A new website received 1700 hits within 10 hours of going live what is the maximum number of hits it might receive in 24 hours if this triend continues? what is your favorite subject? mine is math Who is eligible for government home improvement grant?. The Tang Dynasty was referred to as the Golden Age of China.true or false? What was jonas selected to do? why was trying to selected for this role? To help all children at risk, be aware that some developmental delaysand disabilities can mimic the signs of abuse and neglect.TrueFalse 85% of fans going to a baseball game will spend at least $7.00 on food at the ballpark.If 38,214 fans come out to Miller Park to watch the Milwaukee Brewers play against the Miami Marlins, howmuch money will the ballpark make on food sales? Tech B says that in a four-stroke engine, the piston travels to TDC four times to complete the cycle. Tech B says that in a four-stroke engine, the air-fuel mixture is ignited once every two strokes. Who is correct By the end of the war, african american volunteers made up nearly which percentage of the union army?. PLEASE HELP, ASAP. TY IF U HELP. GIVING BRAINILEST TO CORRECT ANSWER, TY :PIn 2-3 sentences, describe the purpose of studying and learning the meanings of prefixes, suffixes, and word roots. how far are -4,-1 and 3,1