![elijahmoore841](/avatars/42463.jpg)
elijahmoore841
06.06.2020 •
Mathematics
The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of 3 cm/s. When the length is 15 cm and the width is 12 cm, how fast is the area of the rectangle increasing?
Solved
Show answers
More tips
- H Health and Medicine 10 Tips for Avoiding Vitamin Deficiency...
- F Food and Cooking How to Properly Cook Buckwheat?...
- F Food and Cooking How Many Grams Are In a Tablespoon?...
- L Leisure and Entertainment Carving: History and Techniques for Creating Vegetable and Fruit Decorations...
- P Photography and Videography How to Choose the Perfect Photo Paper for Your Images?...
- H Health and Medicine What vaccines do children need?...
- H Health and Medicine Reasons for the Appearance of Warts: Everything You Need to Know...
- A Art and Culture How to Learn Screaming: Step-by-Step Guide for Beginners...
- H Health and Medicine Contraceptive Pills After 35: The Importance Of Choosing The Right Medication...
- C Computers and Internet How to Choose a Monitor?...
Answers on questions: Mathematics
- M Mathematics Please help number n yang memenuhi (12 + 8)+ (-3n) = -22 adalah? A. -16 B. -14 C.14 D.16...
- M Mathematics Angl is a square. The equation of line NG is Y= 1/2 X - 6. Find the equation of line LG in slope intercept form given that the coordinates of L are (-5,1)...
- M Mathematics In the equation below, what is the coefficient of the variable? 26=9x...
- B Biology Eye color is also determined by genes. Brown eyes are dominant, and blue eyes are recessive. What must be true for two brown-eyed parents to produce a blue-eyed child?...
- M Mathematics HELP ME PLS Solve for x. 2 3 (x + 7) = 10 A) 22 B) 8 C) - 1 3 Eliminate D) 41 3...
- B Biology Waves break on a beach due to: 1 turbulence near the shoreline 2 reducing depth of water near beach3 increasing wavelength near beach...
Ответ:
105 cm ^ 2 / s
Step-by-step explanation:
We have that the area of a rectangle is given by the following equation:
A = l * w
being the length and w the width, if we derive with respect to time we have:
dA / dt = dl / dt * w + dw / dt * l
We all know these data, l = 15; w = 12; dl / dt = 5; dw / dt = 3, replacing we have:
dA / dt = 5 * 12 + 3 * 15
dA / dt = 105
Which means that the area of the rectangle increases by 105 cm ^ 2 / s
Ответ: