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
inn [45]
3 years ago
6

if caramel is put onto a sphere-shaped apple such that the surface area increase at a rate of 10 cm2/min, find the rate at which

the diameter increases when the diameter is 15cm
Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0

Answer:

The diameter will increase at a rate of 1/30π cm/min

Step-by-step explanation:

Here we want to calculate the rate at which the diameter will increase

Mathematically, the area of a sphere is given as;

A = 4πr^2

But r = d/2

so A = 4 * π * d/2 * d/2 = πd^2

dA/d(d) = 2πd

Thus dd/dA = 1/2πd = 1/2 * π * 15 = 1/30π

Given dA/dt = 10

Mathematically;

d(d)/dt = d(d)/dA * dA/dt

dd/dt = 1/30π * 10 = 10/30π = 1/3π cm/min

You might be interested in
What is a three digit number thats an odd multiple of three and the product of its digits is 24 and is larger than 15 squared?
Reika [66]
The only way 3 digits can have product 24 is 
1 x 3 x 8 = 241 x 4 x 6 = 242 x 2 x 6 = 242 x 3 x 4 = 24
So the digits comprises of 1,3,8 or 1,4,6, or 2,2,6, or 2,3,4 
To be divisible by 3 the sum of the digits must be divisible by 3.
1+  3+ 8=12, 1+ 4+ 6= 11, 2 +2 + 6=10, 2 +3 + 4=9Of those sums of digits, only 12 and 9 are divisible by 3. 

So we have ruled out all but integers whose digits consist of1,3,8, and 2,3,4.

Meanwhile they must be odd they either must end in 1 or 3.
The only ones which can end in 1 are 381 and 831.

The others must end in 3. 

They must be greater than 152 which is 225. So the

First digit cannot be 1. So the only way its digits can contain of1,3,8 and close in 3 is to be 813.

The rest must contain of the digits 2,3,4, and the only way they can end in 3 is to be 243 or 423.  
So there are precisely five such three-digit integers: 381, 831, 813, 243, and 423.
7 0
3 years ago
What is the value of x?
melisa1 [442]

Answer:

x=71

Step-by-step explanation:

38+x+x=180

x+x=142

2x=142

x=71

3 0
3 years ago
Factor wheels show all the
Zielflug [23.3K]

answer: 2 × 2 × 2 × 2 × 2 = 32

Step-by-step explanation:

32 \\  = 16 \times 2  \\ = 4 \times 4 \times 2  \\ = 2 \times 2 \times 2 \times 2 \times 2

3 0
2 years ago
21 POINTS AND BRAINLEIST
noname [10]

Answer: The answer is D The difference between Shelly's and Terrence's total points

Hope this helped and brainleist please

:D

5 0
3 years ago
Read 2 more answers
Let's play a game of Russian roulette. You are tied to your chair. Here's a gun, a revolver. Here's the barrel of the gun, six c
4vir4ik [10]

Answer:

Don't spin the barrel.

Step-by-step explanation:

Each time you spin the barrel, the probability A of finding a bullet, having two bullets in six chambers is:

P(A)=\frac{2}{6}=\frac{1}{3}=0.33

For you to get shot in the second try but not the first, the barrel spin would have to stop precisely at one specific chamber: the one right before the bullets, so that probability would be:

P(B)=\frac{1}{6}=0.17

which means that this event is half as likely as finding a bullet every time the barrel is spun. Your chances are better if you pull the trigger for the second time without spinning the barrel.

4 0
4 years ago
Other questions:
  • A recipe takes 90 minutes to make 35% of the time is spent preparing the ingredients how many minutes are spent preparing
    13·2 answers
  • Can any one please do this for me I did not know how to do it can some one please help me
    7·1 answer
  • Given: Quadrilateral ABCD is inscribed in circle O.
    5·2 answers
  • Triangle P Q R is shown. The length of P Q is 17, the length of Q R is 15, and the length of P R is 14. Law of cosines: a2 = b2
    11·1 answer
  • 2x - 5 = 11<br> Pease Answer Quickly
    12·2 answers
  • The table below shows the amount of money needed to buy certain amounts of fabric.
    8·1 answer
  • What is the measure of angle C?
    9·1 answer
  • Gatorade come in two different sizes. A 16 ounce bottle costs 2.10 and a 20 ounce bottle costs $3.15. Which is the better buy an
    11·1 answer
  • In which number is the value of the digit 5 greater? Write
    12·1 answer
  • Solve the following system of inequalities graphically on the set of axes below. State
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!