Let l be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x and y vary with time. If x increases at a constant rate of 19 ft/s and y decreases at a constant rate of 15 ft/s, how fast is the size of the diagonal changing when x

Answers

Answer 1

The rate of change of the size of the diagonal is; 25.2 ft/s

By Pythagoras theorem;

The length, l of a diagonal of a rectangle whose sides have lengths x and y is;

l² = x² + y².

In essence; the length of the diagonal is dependent on the length, x and y of the sides.

Therefore;

(dl/dt)² = (dx/dt)² + (dy/dt)²

where;

(dx/dt) = 19 ft/s(dy/dt) = -15 ft/s

Therefore,

(dl/dt)² = 19² + (-15)²

(dl/dt)² = 361 + 225

dl/dt = √586

dl/dt = 25.2

Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.

Read more;

https://brainly.com/question/12559989


Related Questions

HELP!!!!!!!!!!!!!!!!!!!!!​

Answers

Answer: A

Step-by-step explanation:

The easiest way to solve this would be to convert everything into a fraction.

9.5, 9 3/8, 9.125, 9 3/4

=

9 4/8, 9 3/8, 9 1/8, 9 6/8

So from greatest to least,

9 3/4, 9.5, 9 3/8, 9.125

So, A

Answer: The answer is F ( 9 3/4 9.5 9 3/8 9.125 )

Step-by-step explanation:

From greatest to least.

1) 9 3/4 = 9.75

2) 9.5 = 9.50 ( 9 1/2)

3) 9 3/8 = 9.37

4) 9.125 = 9.12 ( 9 1/8)

Grace rides her bike 21 km in 1 1/6 hours. What is her average speed in kilometers per hour?

Answers

126 because 20 X 6 and 6 x 1

Calculate the frequency of a wave with a speed of 250m/s and a wavelength of 50m.


HELPPPPPPPPPPPPPPPPPPPPPPPP PLS

Answers

Answer:

formulas

frequency=speed/wavelength

f=250/50

f=50hz

You ordered several pizzas from
Tonys Pizzeria, The pizzas cost
$50 but you also have to pay 6%
tax and want to leave a 10% tip.
How much will you pay in total,
after the tax and tip?

Answers

It will cost you $58 after the tax and tip!

Hope this helped!! :)

2. Charges imposed on citizens by local, state, and federal governments are called?
A.)debts
B.)income
C.) taxes
D.)tips

Answers

Answer:

Compulsory charges imposed on citizens by local, state, and the federal government. Employers withholding allowance certificate provides the percentage of gross to be withheld for taxes. It is a law for employers to withhold taxes from wages.

8
Which does NOT describe the quadrilateral below?
O A. trapezoid
B. square
C. parallelogram
О
D. rectangle

Answers

A: trapezoid. while trapezoids can have two right angles they are classified as having only one pair of parallel sides while the shape has two pairs

A recipe calls for 1/2 cup sugar and 1 cup flour. How much flour will you need if you use 3/4 cup of sugar?

Answers

Answer:

1 1/2 cups

Step-by-step explanation:

3/4 is 1 1/2 of 1/2, and 1 1/2 is 1/2 of 1

Answer:

1.5 cups of sugar

Step-by-step explanation:

3/4 divided by 1/2 is 1.5

what is the slope of the line?




Answers

Answer:

The slope is 3 or 3/1

Step-by-step explanation:

A television weighs 50 pounds and a microwave
weighs 30 pounds. A TV occupies 4 cubic feet
and microwave occupies 3 cubic feet. A truck is
carrying 1500 pounds of cargo that occupies 138
cubic feet of space. Which system of equations
can be used to find the total number of
televisions, t, and microwaves, m, that are in the
truck?

Answers

Answer:

Step-50*t + 30*m = 1500,   (1)   (pounds)

4*t +  3*m = 138.    (2)   (cubic feet)

From (2), express 3m = 138 - 4t, and substitute it into (1). You will get

50t + 10*(138-4t) = 1500,  or

10t = 1500 - 1380  --->  10t = 1120  --->  t = 112 TVs.

From this point, find the number of microwaves on your own.

step by-step explanation:

Vernon lives in New Mexico and pays 5% in sales tax. He bought an air conditioner, and the amount he paid after sales tax was $1527.75. What was the cost of the air conditioner before sales tax was applied?

Answers

1264$ is the cost of the air conditioner before sales tax was applied.

There are three main parts to a division problem: the dividend, the divisor, and the quotient. The dividend is the number that will be divided. The divisor is the number of “people” that the number is being divided among. The quotient is the answer.

Answers

Answer:its a because its a

Step-by-step explanation:

Answer:

it is the letter a

Step-by-step explanation:

Last year the cost of a season ticket for a football club was £560.
This year the cost of a season ticket for the club has been increased to £600.
Write down the increase in the cost of a season ticket as a fraction of last year's cost.

Answers

Answer:

The cost increased by 1/14

Step-by-step explanation:

help me please???????​

Answers

Answer:

The answer is 25.1 degrees.

x - 7 < -20 inequalify

ps. also tell me is it's closed or open ⭕ (I tried to get a picture and it wasn't working)​

Answers

Step-by-step explanation:

x - 7 < -20

x < -20 + 7

x < -13

X = (-12, -11, -10,...)

Inequalify

[tex] \sf \longmapsto{x}−7<−20[/tex]

Let's start.

Add [tex]\text7[/tex]to both sides

[tex] \sf \longmapsto \: x−7+7<−20+7[/tex]

Answer

[tex] \sf \longmapsto \: x<−13[/tex]

An actor invested some money at 7% simple interest, and $27,000 more than four times the amount of 8%. The total annual interest earned from the investment was $54,030. How much did he invest at each amount?

Answers

The total annual interest earned from the investment is $36780

Explain how to apply the substitution property of equality to the equation
a
+
42
=
b
if
a
=

16
and
b
=
26
.

Answers

Answer: Substitute the values given. The equation is a + 42 = b. Since a = -16 and b = 26, the equation will become -16 + 42 = 26. This equation holds true so it is correct.

Would appreciate brainliest <3

(6-i\sqrt(2))/(6+i\sqrt(2))

Answers

Answer: 18 sqrt= i

Hope this helps :)

Step-by-step explanation:

please help me it's done in 4 mins I beg you ​

Answers

Answer:

the slope rise/run = 4/6

Chaos theory worksheet

Answers

Image does not load please re upload

Solve to get cake, cookies and a hug

Answers

First find the length of the line in the middle.

c^2=5^2 + 5^2
c = square root of 50

Then use that to find x.

8^2 - c^2 = x^2
64-50 = x^2
14 = x^2
x = square root of 14

in the equation 3(x-1)=2x+c for what value of c will x=3? explain your reasoning.

Answers

Answer:

0

Step-by-step explanation:

if x is 3 then;

3(3-1)=2×3+c

c=0

so if c=0 then

x=3

The Clark family bought 8 crates of eggs last week. Each crate had 12 eggs. Since then, they have eaten 28 of the eggs. How many eggs are left?

Answers

8 • 12 -28

96 - 28

68

68 eggs are left.

1. what is the inverse of f(x) = x+9/10x-1?
a. 10x-1/x-9
b. x-9/10x+1
c. x+9/10x-1
d .2x+9/5x+1



#mathematics

Answers

Answer:

A OPTION IS THE INVERSE OF YOUR QUESTION

help me please (show work)

Answers

Answer: A, B, C, and D have the same volumes:  100 units^3

Step-by-step explanation:

The details are attached.  Use the volume formula for the respective shapes.  Bear in mind that B is he area of the base (I assume).  It is the

[tex]\pi[/tex][tex]r^{2}[/tex] in the formulas that have a round base, and the width x length for bases that are rectangular (or square).

Me ayudan a responder este asientos de contabilidad

1.- Pagamos a Seguros la Provincial, S.A. la póliza anual contra incendio, por $ 22,000.00 Más

IVA del 16%, con cheque certificado. Aplicar la primera amortización mensual.

2.- Emitimos cheque por el pago de la renta de un año, de la oficina de ventas en el centro. El

importe es de $ 24,000.00 + IVA del 16%. Además, se agrega el pago del depósito en ga-

rantía, que es por el importe de 3 meses de renta. Aplicar la primera amortización mensual.

3.- Pagamos con cheque la suscripción semestral al periódico Noticetis, S. A. para recibir un

ejemplar diario. Son $ 2,000.00 Más IVA del 16%. Aplicar la amortización mensual.

Answers

Answer:

???

Step-by-step explanation:

find the domain of the expression.

[tex]\sqrt{u} -\sqrt{-u}[/tex]

Answers

Answer:

No Solution

Step-by-step explanation:

One of the rules of a square root is not to have negative numbers inside, if you do not want imaginary numbers. Therefore this question has no solution. Hope this helps :)

I need Help on this question

Answers

Answer:

Step-by-step explanation:

22/25, 6, 6.21, 137/20, 6.885

YALL I RLLY DONT KNOW HOW I HAVE 13 OVERDUE ASSIGNMENTS BUT PLEASE HELPING ME JUST ON MATH would make my day....

Answers

Answer:

Should be second option: (-6.5,-3.5)

The actual coordinates are (-6.4,-3.6) but the points are rounded.

Step-by-step explanation:

Since these two lines are both in slope-intercept form, all you have to do is graph them, and what ever point they cross each other at, is the solution to this system of equations. (Hint: you can also go online and search desmos graphing calculator, to see how it's graphed, for additional help).

(I've graphed and labeled them for you above btw⤴⤴⤴)

Hope this helps you :)

your amazing and beautiful or handsome or whatever you are comfortable with!:D​

Answers

Answer:

1. C

2. E

3. D

4. A

5. B

Step-by-step explanation:

1. It shows that the number of students decrease.

2. It increases more than the breakfast (B)

3. It's on thin line representing the students and workers whom stayed in the cafeteria.

4. It increases showing the same amount of students that entered the other day.

5. The same

When can you write ratios as fractions?

Answers

Yes I ca-n YOU eritemul raționale as
Given a ratio of two integers, write it as a fraction
Given a ratio of two decimals, write it as a fraction
Given a ratio of two mixed numbers, write it as a fraction
Other Questions
While cultural differences should always be considered, which industry should be especially aware of traditions when trying to enter a foreign market Select the container from the figure (Figure 1) that represents the dilution of a 4 % (m/v) KCl solution to each of the following: Figure1 of 1 There is a diagram showing several containers. One container is filled with 4 percent of mass to volume solution of NaCl. Container 1 is filled with a solution in which volume is two times less than the volume of NaCl solution. Container 2 is filled with a solution of a volume two times larger compared to the NaCl solution. Container 3 is filled with a solution of a volume two times larger than the volume of the solution in container 2. Part A 2 % (m/v) KCl What order does the address where you live go in? Ex 4355 Giyu st, Lawrenceville, GA, United States. solve the system of equations by elimination: 3x+y=52x-2y=-2 ar verb conjugations1. Enrique y Jorge (hablar) ______2. Rosa (cantar) _______3. Rosa y yo (estudiar) _______4. yo dibujar _______5. Rosa y Luisa (bailar) _______6. T (practicar) _______7. Enrique, Luisa, y Rosa (hablar) _______8. Luisa y t (nadar) _______9. Jorge (dibujar) _______10. Roberto y t (practicar) (PRETEND YOU'RE IN SPAIN) _______ PLEASE HELP EXPLANATION 100 POIUNTS Taryn is measuring ribbon to make decorations for a fall party. She needs32 feet of ribbon. She has 12 &1/3 feet of ribbon. How many more feet ofribbon does she need? Wayfair Co. Reported the following results from the sale of 5,500 tables in May: sales $300,000, variable costs $165,000, fixed costs $85,000, and net income $50,000. Assume that Wayfair increases the selling price of tables by 10% on June 1. How much is the new contribution margin ratio?. Which word pair represents the closest cohort competitors of the word sandwich. A garden is in the shape of a square of length 353m. Find it's (i)perimeterand (ii) area. The relationship of operant conditioning to classical conditioning is the same as the relationship of _____ responses to _____ responses. 54,392 rounded to the hundreds place straight line graph table - complete the table of values for the equation y=x+6 using values that lie on the graph shown question is on picture attached 12(6x + 10) + x = 9x + 5(1 x) can u solve this? help will give brainliest Through his investigation, Nathanial identified when equal forces are applied to an object, the motion of the object does not change. He started a data table to record the evidence from his investigation. Which further evidence can Nathanial use to support his findings? 67 N in row one and 110 N in row two 120 N in row one and 67 N in row two 115 N in row one and 65 N in row two 100 N in row one and 65 N in row two one half of the sum of number and 10 A coin will be tossed twice, and each toss will be recorded as heads (H) or tails (T). the sum of a number and six is four less than three times a number. find the number.