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Ivan
3 years ago
10

There is more than 1 way to name a ray True or false

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
5 0
True for example a ray is using it’s endpoints first & then any other point on the ray (—> BA
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The radius of a right circular cylinder is increasing at the rate of 7 in./sec, while the height is decreasing at the rate of 6
Arlecino [84]

Answer:

\approx \bold{6544\ in^3/sec}

Step-by-step explanation:

Given:

Rate of change of radius of cylinder:

\dfrac{dr}{dt} = +7\ in/sec

(This is increasing rate so positive)

Rate of change of height of cylinder:

\dfrac{dh}{dt} = -6\ in/sec

(This is decreasing rate so negative)

To find:

Rate of change of volume when r = 20 inches and h = 16 inches.

Solution:

First of all, let us have a look at the formula for Volume:

V = \pi r^2h

Differentiating it w.r.to 't':

\dfrac{dV}{dt} = \dfrac{d}{dt}(\pi r^2h)

Let us have a look at the formula:

1.\ \dfrac{d}{dx} (C.f(x)) = C\dfrac{d(f(x))}{dx} \ \ \ (\text{C is a constant})\\2.\ \dfrac{d}{dx} (f(x).g(x)) = f(x)\dfrac{d}{dx} (g(x))+g(x)\dfrac{d}{dx} (f(x))

3.\ \dfrac{dx^n}{dx} = nx^{n-1}

Applying the two formula for the above differentiation:

\Rightarrow \dfrac{dV}{dt} = \pi\dfrac{d}{dt}( r^2h)\\\Rightarrow \dfrac{dV}{dt} = \pi h\dfrac{d }{dt}( r^2)+\pi r^2\dfrac{dh }{dt}\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2r \dfrac{dr }{dt}+\pi r^2\dfrac{dh }{dt}

Now, putting the values:

\Rightarrow \dfrac{dV}{dt} = \pi \times 16\times 2\times 20 \times 7+\pi\times 20^2\times (-6)\\\Rightarrow \dfrac{dV}{dt} = 22 \times 16\times 2\times 20 +3.14\times 400\times (-6)\\\Rightarrow \dfrac{dV}{dt} = 14080 -7536\\\Rightarrow \dfrac{dV}{dt} \approx \bold{6544\ in^3/sec}

So, the answer is: \approx \bold{6544\ in^3/sec}

3 0
3 years ago
Find 7/12 of 36 <br><br> I want a good answer!!!
12345 [234]

Answer:

option a 21 is the right answer

Step-by-step explanation:

7/12.36

12 into 3 is 36

so 12 1's are and 12 3's are

now it'll become 7 into 3

which is 21

therefore 21 is the answer

4 0
3 years ago
Answer the problem and show all work.
marishachu [46]

Member Price = 30 + 3x

Non-member Price = 6x

x = the tickets they buy.

We want 30 + 3x = 6x

So, first we subtract 3x from each side and are left with:

30 = 3x

Then, divide each side by 3.

10 = x

So, the cost of 10 tickets is the same more non-members and members.

We can also check it:

Member Price: 30 + 3(10)

30 + 30 = 60

Non-member Price: 6(10)

60

8 0
3 years ago
Please answer step by step:<br><br><br><br> -4=2x+16<br><br> What does x equal?<br><br> x=____?
Fed [463]

Answer:

Step-by-step explanation:

-4=2x+16

-16. -16

-20=2x

20/2=2x/2

10=x

5 0
3 years ago
The cost of printing a catalog of the products that your company distributes is a flat rate of $52 plus $0.20 per copy. Let C re
Delvig [45]

Answer:

1045384620173418506891046 number of copies

Step-by-step explanation:

10464929103984753671930600 ×55215278300

5 0
3 years ago
Read 2 more answers
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