wind resistance varies jointly as an objects surface area and velocity. if an object traveling at 55 miles per hour with a surface area of 20 square feet experiences a wind resistance of 220 newtons how fast must a car with 55 square feet of surface area travel in order to experience a wind resistance of 275 newtons?​

Answers

Answer 1

Answer:

25 miles per hour

Step-by-step explanation:

Given

[tex]W = Wind\ resistance[/tex]

[tex]A = Surface\ Area[/tex]

[tex]V = Velocity[/tex]

The joint variation can be represented as:

[tex]W\ \alpha\ A*V[/tex]

Where:

[tex]V = 55; A = 20; W = 220[/tex]

Required

Find V,  when: [tex]A = 55; W = 275[/tex]

We have:

[tex]W\ \alpha\ A*V[/tex]

Express as an equation

[tex]W= k *A*V[/tex]

Where k is the constant of variation

Make k the subject

[tex]k = \frac{W}{A*V}[/tex]

When: [tex]V = 55; A = 20; W = 220[/tex]

We have:

[tex]k = \frac{220}{20 *55 }[/tex]

[tex]k = \frac{220}{1100}[/tex]

[tex]k = 0.2[/tex]

When: [tex]A = 55; W = 275[/tex]

We have:

[tex]k = \frac{W}{A*V}[/tex]

Substitute: [tex]A = 55; W = 275[/tex] and [tex]k = 0.2[/tex]

[tex]0.2 = \frac{275}{55 * V}[/tex]

Make V the subject

[tex]V= \frac{275}{55 * 0.2}[/tex]

[tex]V= \frac{275}{11}[/tex]

[tex]V= 25[/tex]


Related Questions

find the missing side of each triangle

Answers

Answer and Step-by-step explanation:

To solve this, we have to find x.

To find x, we have to use the Pythagorean theorem.

The Pythagorean theorem is:

[tex]A^2 + B^2 = C^2[/tex]

Where A is a side, B is a side, and C is the hypotenuse.

Plug in the values accordingly.

[tex]6^2 + 8^2 = x^2\\\\\\\\36 + 64 = x^2\\\\\\\\\\100 = x^2\\\\\\\\10 = x[/tex]

The answer is 10 = x.

#teamtrees #PAW (Plant And Water)

the answer is 10 i believe

hi i like cheesi like cheese e i like chi like cheese eese i like cheese i like cheesi liki like cheese e cheei like chi lii like cheese ke chei like chei like cheese ese ese eese se e

Answers

Answer:

cheese is good but have you tried your mom

Step-by-step explanation:

S) A $4.00 sales tax is charged for a $50.00 purchase. At this rate, what is the sales tax for a $1200.00
purchase?

Please help me :) I’m down bad

Answers

Answer:

$96

Step-by-step explanation:

4/50=.08 which is sales tax rate

1200X.08=$96 sales tax

Two scuba divers are 20 m apart below the surface of the water. They both spot a shark that is below them. The angle from diver 1 to the shark is 47 degrees, and the angle from diver 2 to the shark is 40 degrees. How far is diver 2 from the shark?

Answers

Answer: Approximately 14.647147438893 meters

Round this value however you need.

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

Explanation:

Refer to the diagram below. The blue horizontal line is the water surface, and just below that are points A and B to represent diver 1 and diver 2 respectively. Point C is the shark's location. The diagram is not to scale. The assumption is that the two divers are at the same depth in the water.

Angle A (also known as angle BAC or CAB) is the angle formed at diver 1's location, which is the 47 degree angle mentioned earlier. Angle B is 40 degrees. This must mean angle C is 180-A-B = 180-47-40 = 93 degrees. Note how A+B+C = 47+40+93 = 180.

The goal is to find the distance from diver 2 to the shark. So we want the distance from point B to point C. In other words, we want the length of segment BC. Since this segment is opposite angle A, we'll refer to this side as lowercase 'a'. The lowercase letters represent side lengths and they are conventionally opposite the uppercase letter angles. So side b is opposite angle B, and side c is opposite angle C.

Here's what we have so far:

side a = unknown = what we want to solve forangle A = 47 degreesside c = 20 meters = distance between the two diversangle C = 93 degrees

We can apply the law of sines to find side 'a'.

a/sin(A) = c/sin(C)

a/sin(47) = 20/sin(93)

a = sin(47)*( 20/sin(93) )

a = 14.647147438893

Make sure your calculator is in degree mode.

The distance from diver 2 to the shark is approximately 14.647147438893 meters. Round this value however you need.

Geometry Question, please help! WORTH 20 POINTS

Answers

Answer:

zy = 65

Step-by-step explanation:

a full circle is 360*

half of that is 180*

180 - 115 = 65

(8+2b)+(-4+6x)+(6+9m)

Answers

Answer:

2 b + 9 m + 6 x + 10

Step-by-step explanation:

2 b + 4 + 6 x + 6 +9 m

2 b + 6 x + 10 + 9m

2 b + 6 x + 9 m + 10

= 2 b + 9 m + 6 x + 10

Answer:

multiply the +sign with the second bracket.Also do the same with the third bracket.But for the first bracket just remove the bracket and then correct the like terms and solve it

Eli's parents open a savings account for when he was born in the account earns compound interest compounded annually how much money will be in Eli's account at age 21

Answers

Answer:

Is C.$24 I use the I=Prt

Solve the expression. 8 + (37-19)

Answers

Answer:

26

Step-by-step explanation:

HELP ASAP
photo attached

Answers

Answer:

D. undefined

General Formulas and Concepts:

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Trig Derivative:                                                                                                       [tex]\displaystyle \frac{d}{dx}[sinu] = u'cosu[/tex]

Derivatives of Parametrics:                                                                                   [tex]\displaystyle \frac{dy}{dx} = \frac{\frac{dy}{dt}}{\frac{dx}{dt}}[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{dx}{dt} = 5[/tex]

[tex]\displaystyle \frac{dy}{dt} = sin(t^2)[/tex]

Step 2: Differentiate

[x Derivative] Basic Power Rule:                                                                   [tex]\displaystyle \frac{d^2x}{dt^2} = 0[/tex][y Derivative] Trig Derivative [Chain Rule]:                                                 [tex]\displaystyle \frac{d^2y}{dt^2} = cos(t^2) \cdot \frac{d}{dt}[t^2][/tex][y Derivative] Basic Power Rule:                                                                   [tex]\displaystyle \frac{d^2y}{dt^2} = cos(t^2) \cdot 2t^{2 - 1}[/tex][y Derivative] Simplify:                                                                                   [tex]\displaystyle \frac{d^2y}{dt^2} = 2tcos(t^2)[/tex][Derivative] Rewrite:                                                                                     [tex]\displaystyle \frac{d^2y}{dx^2} = \frac{2tcos(t^2)}{0}[/tex]

Anything divided by 0 is undefined.

Topic: AP Calculus BC (Calculus I/II)

Unit: Differentiation with Parametrics

Book: College Calculus 10e

what is the slope of any line parallel to the line 9x+4y=7?​

Answers

Answer:

-9/4

Step-by-step explanation:

First you need to change the equation to slope-intercept form (y=mx+b). To start, you need to get y alone, so subtract 9x on both sides to give you 4y=-9x+7. Next, divide 4 from both sides giving you y=-9/4x +7/4. The slope is the coefficient of x.

-9/4!!!!!!!!!!!!!!!!

There are 16 kilometers in 10 miles how many kilometers are in 5 miles?

Answers

Answer:

8 kilometers

Step-by-step explanation:

What is 90 divided by 10

Answers

Answer:

9

Step-by-step explanation:

help meeeeeeeeeeeeeeeee


Which is larger, 8 tons or 14,000 pounds?

Answers

Answer:

tons          pounds

7           14,000

8            16,000

so 8 tons

Step-by-step explanation:

Answer:

8 tons is larger than 14,000 pounds.

Step-by-step explanation:

Here is my explanation:

One ton (same thing as a short ton) is equivalent to 2,000 pounds.

So 8 tons is basically just 2,000 * 8 which is equal to 16,000.

Hope this helps!

Write the equation in standard form for the circle with center (0,

8) and radius 2
19.

Answers

Use this link to find your answer

https://lalinks.org/linksweb

2. Jacquelyn has 50 vocabulary words to study for an exam. She creates a flashcard for each word to study. Day 1 she studies 10 of the flash cards. Day 2 she studies the same 10 cards from the first day along with 5 new cards, for a total of 15 cards. Day 3 she studies the 15 cards she studied on the second day along with 5 new cards, for a total of 20 cards. Jacquelyn continues to increase the number of cards she studies each day by 5.
(a) Write a recursive rule to represent the number of cards Jacquelyn studies on day n.
(b) Write an explicit rule to represent the number of cards Jacquelyn studies on day n.
(c) On which day will Jacquelyn first study all 50 vocabulary cards?

Answers

Answer:

Sequence:

10, 15, 20, ...

(a) Recursive formula:

a₁ = 10, aₙ = aₙ₋₁ + 5

(b) Explicit rule:

aₙ = a₁ + (n - 1)*5 aₙ = 10 + 5n - 5 = 5n + 5aₙ = 5n + 5

(c) aₙ = 50, n = ?

50 = 5n + 55n = 45n = 9

Day 9

Weird math question.

Answers

Answer:

It is 4/11

Step-by-step explanation:

Let x = 0.363636363636

Now as there are two digits repeating immediately after decimal point, we multiply above by 100 and get

100x = 36.363636363636

Now subtracting first equation from second we get

99x = 36

and hence

x = 36/ 99

= (9 × 4) / (9 × 11)

which then equals

= 4/11

Answer:

It is 4/11

Step-by-step explanation:

Which function is linear?
es --
A)
f(x) = 13x] + 4
х
B)
f(x) =
+ 4
3x
f(x) = 3x - 4
D)
f(x) = 13x1 - 4


The answer is C... I just did it and it said it was C!!

Answers

Answer:

answer is b bro :)))))))))))))))

NCERT SOLUTIONS FOR CLASS 7

MATHS

ALL CHAPTERS

Answers

Answer:

https://www.learncbse.in/ncert-solutions-for-class-7-maths/

Evaluate 5/8 × 5/9 Give your answer in its simplest form.

Answers

Answer:

[tex] \frac{5}{8} \times \frac{5}{9} \\ = \frac{5 \times 5}{8 \times 9} \\ = \frac{25}{72} \\ = 0.3472[/tex]

Answer:

25 / 72

Step-by-step explanation:

5/8 x 5/9 =

5 x 5 / 8 x 9 =

25/72

Suppose that 5% of the time Todd attends a concert twice a month, 40% of the time he attends a concert once a month, and 55% of the time he doesn't attend a concert at all in a given month. What is the expected value for the number of times Todd attends a concert during a month?

Answers

it’s the right answer anyways hope u pass all your classes thanks bye now purrr 1245/4849

Which of the following points
would be plotted in Quadrant
IV on a coordinate grid?
A. (2,3)
B. (-4,-9)
C. (-9, 3)
D. (5, -6)
WIB

Answers

Answer:

D. (5, -6)

Step-by-step explanation:

So like how do I do this?

Answers

Answer:

Step-by-step explanation:

The legs of the triangle have lengths 9 and 12.  The Pythagorean Theorem says [tex](\text{hypotenuse})^2=(\text{leg})^2+(\text{leg})^2[/tex].

[tex]x^2=9^2+12^2=81+144=225\\x=\sqrt{225}=15[/tex]

Yes, these values make a Pythagorean Triple (3 integers that fit the Pythagorean Theorem)

There are infinitely many of these triples:  3,4,5   5,12,13 are examples.  The triple in this problem is 3 times the 3,4,5 triple.

x= 15

No

H²= O²+A²

x²= 9²+12²

x²= 81+144

x²= 225

x= √225

x= 15

PLEASE ANSWER ILL GIVE YOU BRAINLIEST

Answers

Answer:

i think its 28.27

Step-by-step explanation:

Step-by-step explanation:

[tex]v \: = \: pi \: \times \: r {}^{2} \: \times h[/tex]

Volume = 3.14×2.25×4 = 28.26 yd³

Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....

Answers

Answer:

Tn = 4(-6)^n-1

Step-by-step explanation:

Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....

The sequence is a geometric sequence

Tn = ar^n-1

a is the first term

a = 4

r = -24/4 =144/-24

r = -6

Substitute

Tn = 4(-6)^n-1


Write each equation in slope-intercept form.
12y =(8x - 48)/3

Answers

Answer:

y=(2/9)x-(4/3)

Step-by-step explanation:

12y=(8x-48)/3

multiply by 3 on both sides

36y=8x-48

divide by 36 on both sides

y=(8/36)x-(48/36)

simplify fractions

y=(2/9)x-(4/3)

I NEED HELP PLZ!!!!!!!

Answers

Answer: what's up?

Step-by-step explanation:

Thirty two students try out for the basketball team. There are 5 players on the court during a game and the coach wants three times as many players on the team. How many students will NOT be a part of the basketball team?

Answers

Answer:

17

Step-by-step explanation:

Please help this is due tonight

Answers

Answer
149
Explanation
It adds up to 360 so add all the numbers together and take it away from 360

Please evaluate 7/13×8/11

should be in fraction form!
will be marked brailiest

Answers

Answer:

56/143 ([tex]\frac{56}{143}[/tex])

Answer:56/143

Step-by-step explanation:

13. Find the measure of angle ABC. B 8x 6x 6x A С​

Answers

Answer

Angle A = 54 degree

Angle B = 72 degree

Angle C = 54 degree

Explain

It is a triangle, so the total of angle is 180 degree

Find X

8x + 6x + 6x = 180

20x = 180

x = 180/20

x = 9°

Value of x is 9°

Substitute a score of x for every angle =

Angle A

= 6x

= 6(9)

= 54°

Angle B

= 8x

= 8(9)

= 72°

Angle C

= 6x

= 6(9)

= 54°

#LearnWithBrainly

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