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
Lubov Fominskaja [6]
3 years ago
6

A rectangle has width w inches and height h, where the width is twice the height. Both w and h are functions of time,t, measured

in seconds. If A represents the area of the rectangle, what is the rate of change of A with respect to t at the instant where the width is 4 inches and the height is increasing at the rate of 2 inches per second?
Mathematics
1 answer:
cupoosta [38]3 years ago
8 0

Answer:

dA/dt = 16 square inches per second

Step-by-step explanation:

Width of rectangle is w

Height of rectangle is h

width = twice height

w = 2h

Area = wh = (2h)*h

A = 2h^2

Differentiating the equation with respect to time

dA/dt = 2+2h dh/dt

dA/dt = 4h dh/dt

According to the given situation when width is 4 inches

h = w/2

h = 2

Rate of change of A is  

dA/dt = wh dh/dt

dA/dt = 4(2)(2)

dA/dt = 16 square inches per second

You might be interested in
Isabella uses the equation V = one-third (12) squared (9) pi to find the volume of the cone below.
Gemiola [76]
Answer is : D hope this helps!
4 0
3 years ago
Sort the words into a category based on whether they indicate a positive number or a negative number
ankoles [38]

Answer:

POSITIVE: gain, adding, above

NEGATIVE: loss, below, taking away

5 0
2 years ago
Nathaniel bought headphones online for $22. He used a coupon code to get a 40% discount. The website also applied a 10% processi
Tatiana [17]

Answer:

8.80 if it's the 40°/.

2.20 if it's the 10°/. processing fee

13.20 for how much he paid

8 0
2 years ago
Which of these always has congruent diagonals?
docker41 [41]

Answer:

rectangle

Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
In FGH, the measure of H=90°, HF=91 feet, and GH = 50 feet. Find the measure of F to the nearest degree.
Rudik [331]

Given:

The angle of H=90°, HF=91 feet, and GH = 50 feet.

The objective is to find the measure of angle<em> F.</em>

In the given right angled triangle, the side opposite to the requierd angle is called opposite side, and the other smaller side is called adjacent side.

The trigonometry formula which relates with the opposite and adjacent side is,

\tan \theta=\frac{opposite}{adjacent}

Now substitute the value of opposite and adjacent in the above formula to find the value of angle <em>F</em>.

\begin{gathered} \tan \theta=\frac{50}{91} \\ \theta=\tan ^{-1}(0.549) \\ \theta=28.787^0 \\ \theta\approx29^0 \end{gathered}

Hence, the value of angle <em>F</em> is 29 degree.

3 0
1 year ago
Other questions:
  • Eighty-eight less than m is smaller than -176
    13·2 answers
  • F AC = 36 and BC = 18, find AD. Round to the nearest tenth, if necessary.
    6·2 answers
  • Convert <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B280%7D" id="TexFormula1" title="\frac{1}{280}" alt="\frac{1}{280}" al
    14·1 answer
  • The height of a diver above the water is given by the quadratic function h(t)= -5t^2+5t+10, with t in seconds and h(t) meters. W
    13·1 answer
  • Please help this is a big test!
    8·1 answer
  • Please help with questions will give brainlsest
    13·1 answer
  • What is the formula for a triangle prism
    14·1 answer
  • PLEASE HELP I HAVE NO CLUE WHAT TO DO
    7·1 answer
  • Simplify 4x+2x+3x Helpppp
    12·2 answers
  • Can somebody help me with my work please????
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!