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svp [43]
2 years ago
9

I need help is it A B C or D

Mathematics
1 answer:
Masteriza [31]2 years ago
8 0
The answer to this is C.
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The surface area of a melting snowball decreases at a rate of3.8cm2/min. Find the rate at which its diameter decreases when the
Scorpion4ik [409]

Answer:

Step-by-step explanation:

This is a pretty basic related rates problem. I'm going to go through this just like I do in class when I'm teaching it to my students.

We see we have a snowball, which is a sphere. We are talking about the surface area of this sphere which has a formula of

S=4\pi r^2

In the problem we are given diameter, not radius. What we know about the relationship between a radius and a diameter is that

d = 2r so

\frac{d}{2}=r Now we can have the equation in terms of diameter instead of radius. Rewriting:

S=4\pi(\frac{d}{2})^2 which simplifies to

S=4\pi(\frac{d^2}{4}) and a bit more to

S=\pi d^2 (the 4's cancel out by division). Now that is a simple equation for which we have to find the derivative with respect to time.

\frac{dS}{dt}=\pi*2d\frac{dD}{dt} Now let's look at the problem and see what we are given as far as information.

The rate at which the surface area changes is -3.8, and we are looking for \frac{dD}{dt}, the rate at which the diameter is changing, when the diameter is 13. Filling in:

-3.8=\pi(2)(13)\frac{dD}{dt} and solving for the rate at which the diameter is changing:

-\frac{3.8}{26\pi}=\frac{dD}{dt} and divide to get

\frac{dD}{dt}=-.459\frac{cm}{min} Obviously, the negative means that the diameter is decreasing.

7 0
3 years ago
What is the sum of Negative 8 + 6?
Pavlova-9 [17]

Answer:

-14 or -2

Step-by-step explanation:

-8+-6= -14

-8+6 = -2

7 0
3 years ago
Round to the nearest tenth. 8.54
Katarina [22]
The answer would be 8.5. 8.54 rounds down to 8.54. 
Hope this helps!
Can u plz mark me as brainliest?
4 0
2 years ago
Read 2 more answers
PLEASE HELP
Vladimir [108]

Answer:

5.5 inches

Step-by-step explanation:

1) the formula to find the area of a square is l^2= area and l=length

in this case we already know the area but not the length

so we have to find the square root of 30 as the opposite operation needs to be used to find the missing number

so

√30= 5.47

5.47 rounded= 5.5

the length of one side is 5.5 in

5 0
3 years ago
What is the value of the expression below?
Ghella [55]

Answer:

A. 12

Step-by-step explanation:

use pemdas

4^4=16

20+8=28

28-16=12

4 0
2 years ago
Read 2 more answers
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