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
weqwewe [10]
3 years ago
9

F the height remains fixed and the side of the base is decreasing by 0.002 meter/yr, what rate is the volume decreasing when the

height is 180 meters and the width is 200 meters?
Mathematics
1 answer:
katrin [286]3 years ago
4 0

The original volume equation looks like this: V = 1/3 * h * (x^2) 
After the side is reduced by 0.002, the new volume would look like V1 = 1/3 * h * (x-0.002) ^ 2 

Then we have: 
V-V1 = 1/3*h*(x^2) - 1/3*h*(x – 0.002) ^2 


= 1/3 * h *(x^2 - (x – 0.002) ^2) 


= 1/3 * h * (0.004x - 0.00004) 


The rate of decreasing is computed by:


(V-V1)/V * 100% = [1/3 * h *(0.004x - 0.00004)] / [1/3 * h * (x ^ 2)] * 100% this would be equal to (0.004x - 0.00004) / (x^2) * 100% 

So replace x by 200, you’ll get:

(0.004(200) - 0.00004) / (200^2) * 100% 

= 0.001999% is the rate of decreasing.

You might be interested in
Given the following sequence, find the 25th term: 0, 1, 2, 3, 4, . . .
Burka [1]
The answer for this question would be 24 because 0 is included.
8 0
3 years ago
I will give u brainliest
Lady bird [3.3K]

Answer:

130

Step-by-step explanation:

I don' know my explanation.

6 0
2 years ago
Does anyone wanna help ya girl out?? I’ll give brainliest for best answer (it’ll go who answers first, and how helpful the answe
ludmilkaskok [199]

Answer: 1, 2, and 4

Step-by-step explanation:

3 0
3 years ago
Twelve is at least<br> number x decreased<br> by 7.
sineoko [7]

Answer:

x is greater than or equal to 19

4 0
3 years ago
Read 2 more answers
Solve: (-5) + (-18) <br><br>A -23<br><br>B- 13<br><br>C 13<br><br>D 23​
Lina20 [59]
The answer would be -23
8 0
2 years ago
Other questions:
  • An arithmetic sequence has a first term of 10 and a sixth term of 40. What is the 20th term of this sequence?
    10·2 answers
  • Not quite sure of the answer. help me out???
    8·1 answer
  • Two cards are drawn from a standard deck of 52 cards. A king is drawn first and not replaced. Find the probability of drawing a
    13·2 answers
  • Can someone plz help me on this thank you and please stop giving me links
    5·1 answer
  • Please help it I will give lots of points!
    9·2 answers
  • Evaluate -8•|2|<br> -10<br> 10<br> -16<br> 16
    12·2 answers
  • Need help answer quick plzzzz ​
    15·1 answer
  • A brick of himalayan salt measures 20x10x4 and weighs 1 kg and 600 gs what is its density
    14·1 answer
  • Choose the equation for the graph
    10·1 answer
  • a listing for a home for sale is shown as follows: “3/2/1 house for sale. price 140000” what does “3/2/1” mean
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!