1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
avanturin [10]
3 years ago
7

A model car travels around a circular track with radius 5 feet. Let Z denote the distance between the model car and a fixed poin

t that is 20 feet to the left of the center of the circular track. The diagram above indicates the fixed point at the origin, the center of the circular track at the point (20,0), and the position of the car at the point (x,y). Z is the length of the line segment from the origin to the point (x,y). If x and y are functions of time t, in seconds, what is the rate of change of Z when x=23, y=4, and dxdt=2 ?
Mathematics
1 answer:
Eddi Din [679]3 years ago
5 0

Answer:

\frac{dZ}{dt}= \frac{40}{\sqrt{545} } , so the model car is moving away from the fixed point at a rate of approximately 1.7 feet per second.

Step-by-step explanation:

The functions x and y satisfy (x−20)^2+y^2=25 and differentiating gives 2(x−20)dx/dt+2y dy/dt=0. Substituting the three known values and solving for dy/dt yields dy/dt=−32. Since Z=x^2+y^2−−−−−−√, dZ/dt=(2x ^ dx/dt+2y^dy/dt) / 2x2+y2√. Substituting Since Substituting for x, y,\frac{dx}{dt} , and \frac{dy}{dt} gives \frac{dZ}{dt}= \frac{40}{\sqrt{545} } ,

You might be interested in
8x+4=32 What is the value of X in the problem stated, all answers real and imaginary.
GarryVolchara [31]
Subtract 4 from both sides.  You'll get 8x = 28.   Solving for x, x = 28/8 = 7/2
8 0
3 years ago
Select the gcf of these numbers. 25 · 5· 11 and 23· 52 · 7 a 2^2 · 3
White raven [17]
The greatest common factor of the numbers is that which is the fused factors of all the numbers without the repetition of the common factors present in the given.
                          25·5·11 = 5·5·5·11
                          23·52·7 =23·2·2·13·7
Since, there are no repeated factors, the answer would be,
                                        5·5·5·11·23·2·2·13·7
The answer unfortunately is not among the choices.
7 0
3 years ago
Find the perimeter of the shape below:
skad [1K]
Add all sides


use distance formula to fnd distance: sqrt((x1-x2)^2+(y1-y2)^2)
if is wrong,i'm sorry,i think this is right


8 0
3 years ago
Read 2 more answers
Sam says the longest ski trail is more than three times the length of the shortest ski trail. Eli says it is less than three tim
iragen [17]

Answer:

Sam

Step-by-step explanation:

Sam: Longest ski trail >3x    x = shortest ski trail

Eli: Longest ski train< 3x

Sam is correct because the longest ski trail has to be greater than the shortest and it can't be less than.

6 0
2 years ago
A triangle with angle measures of 20° and 30° is a (FILL IN THE BLANK) triangle.
White raven [17]
Obtuse triangle, if the two angles add up to 50 degrees and a whole triangle equals 180 degrees. That means the third angle is greater than 90 degrees and only obtuse angles are greater than 90 degrees
7 0
2 years ago
Other questions:
  • Please help quickly needed !<br> thank you !
    12·1 answer
  • What is 6 13/50 as a decimal
    5·1 answer
  • Which number has a 4 that is one tenth the value of the 4 in 438?
    7·1 answer
  • The number 3. I 4063 written correct to 3 decimal places is
    8·1 answer
  • The freight is traveling at a constant speed the table below shows how far the train travels after different amounts of time com
    13·1 answer
  • To 6x - 5(2x - 4) = 3x - 6?
    5·1 answer
  • What is the volume of the prism below?
    6·2 answers
  • Joseph bought a box of pens for $15.98. The price included a $1.25 donation to the local food drive. Tina bought 3 boxes of the
    9·1 answer
  • BRAINILEST TO WHO ANSWERS FIRST<br><br> Factor x^2−2x−8
    9·1 answer
  • If the sales price is 55.50, and the discount is 75%, what is the original price
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!