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
mamaluj [8]
3 years ago
14

Two cars are moving away from an intersection along roads that make a 90 degree angle. The first car is 100 feet from the inters

ection and is travelling at a rate of 30 ft/s. The second care is 150 feet away from the intersection and is travelling at a rate of 40ft/s. Find the rate of change of the distance between the cars after one second.
Mathematics
1 answer:
AleksAgata [21]3 years ago
3 0
D = sqrt(x^2 + y^2); where x = 100 ft, y = 150 ft, dx/dt = 30ft/s, dy/dt = 40ft/s
After one second, x = 130 ft, y = 190 ft

ds/dt = (2x dx/dt + 2y dy/dt)/(2sqrt(x^2 + y^2) = (2(130)(30) + 2(190)(40)) / 2sqrt(130^2 + 190^2) = (7,800 + 15,200) / 2sqrt(16,900 + 36,100) = 23,000 / 2sqrt(53,000) = 49.95 ft/s

Therefore, the rate of change of the distance between the cars after one second is approximately 50 ft/s.
You might be interested in
Michelle, Jennifer, and Betty volunteered to make cupcakes for a school fundraiser. They've been asked to make 100 cupcakes. Mic
erastovalidia [21]
B. 2 2/9 hours.

in 2 hours the will already have made 96 cupcakes so the only logical answer is B
3 0
2 years ago
I'm not sure what trig function to use. Someone please help, and please answer sedulously, and not just for points. Thank you in
Alex Ar [27]

Answer:

w = 6.7451

x = 8.0805

Step-by-step explanation:

Find W

Tan(56) = opposite / adjacent

opposite = 10

Adjacent = w

Tan (56) = 10/w

w*Tan(56) = 10

w = 10 / tan(56)

w = 10/ 1.4826

w = 6.7451

Find x

Tan (34) = 10 / (w + x)

Tan (34) = 0.6745

(w + x) * Tan(34) = 10

w + x = 10 / tan(34)

w+ x = 10 / 0.6745

w + x = 14.826

But we found w = 6.7451

6.7451 + x = 14.826

x = 14l826 - 6.7451

x = 8.0805

7 0
2 years ago
Do you know the answer to this question?
WINSTONCH [101]

Answer:

Step-by-step explanation:

4 0
2 years ago
I will give you the brainliest if you answer asap please
IRINA_888 [86]

Answer:

168

Step-by-step explanation:

You just need to triple the answer to get 168.

8 0
3 years ago
Which of the following would you most likely measure in kilograms?
garri49 [273]

Answer:

The mass of a longhorn cow.

Step-by-step explanation:

Kilograms will measure mass, not length, so we are left between two options. Kilograms would be used for heavier objects, so between a paper clip (which would be likely measured in grams,) and the longhorn, the cow would be what you would measure in kilograms.

5 0
3 years ago
Other questions:
  • A rectangular piece of gift wrap is 5.5 inches by 2.1 inches. What is the area of the gift wrap? ( hint: use A = lw
    15·1 answer
  • What angles do perpendicular lines form?​
    15·2 answers
  • The perimeter of a rectangle is 96 cm. The length of the rectangle is 10 cm more than the width. Find the length and width of th
    15·1 answer
  • Q2: How do you identify which fractions will have repeating decimals?
    6·1 answer
  • Help.me please rn❤️❤️❤️❤️❤️❤️❤️
    11·1 answer
  • A customer at Lost Pastores placed an order for 3 burritos which was priced at x amount of dollars each. He also ordered a plate
    6·2 answers
  • 5k + 9 = 89.............
    8·2 answers
  • OKAY I NEED HELP. DONT MIND THE FACT I HAVED IT ANSWERED IT DOESNT SEEM TO LET ME TAKE IT OFF BUT I NEED HELP PLS D:::
    6·2 answers
  • Save my soul!!!!<br> if you can pIz show me what you did to get answers.
    7·1 answer
  • The net of a cone is composed of a circle and a <br> triangle<br> wedge<br> triangle
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!