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NeX [460]
3 years ago
9

I need 33. B) find the exact time when the radius reaches 10 inches 100 points! Plz help

Mathematics
1 answer:
stealth61 [152]3 years ago
3 0

Step-by-step explanation:

You have found a function r(V(t)). We can see that this function is a one variable function. The variable is time.

So in this specific function we can call r(v(t)), r(t).

So:

r(t) =  \sqrt[3]{ \frac{3 \times (10 + 20t)}{4\pi} }

If α is the moment that the radius is 10 inches and since the function above gives radius in inches we have to solve the equation:

r( \alpha ) = 10

Which is the same as:

\sqrt[3]{ \frac{3 \times (10 + 20 \alpha )}{4\pi} }  = 10 \\  \frac{3 \times (10 + 20 \alpha )}{4\pi}  = 1000 \\ (10 + 20 \alpha ) =  \frac{4000\pi}{3}  \\ 20 \alpha  =  \frac{(4000\pi - 30)}{3} \\  \alpha  =  \frac{(4000\pi - 30)}{60}

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Help please this is for my homework that is due to tomorrow!!
Murljashka [212]

The given polygons are similar

Step-by-step explanation:

By observing the given diagrams, we can see that the respective angles are congruent.

Two shapes are said to be similar if they have same shapes or one shape is created by uniformly increasing or decreasing the side of other.

For this purpose we find the scale factor of greater to smaller image, if the scale factor is same for each side then the two shapes are similar

So,

The scale factor is:

\frac{EF}{AB} = \frac{3}{1} = 3\\\\\frac{FG}{BC} = \frac{9}{3} = 3\\\\\frac{GH}{CD} = \frac{15}{5} = 3\\\\\frac{EH}{AD} = \frac{21}{7} = 3

We can see that the scale factor is same for all sides.

Hence,

The given polygons are similar

Keywords: Polygons, similarity

Learn more about polygons at:

  • brainly.com/question/6569012
  • brainly.com/question/6541303

#LearnwithBrainly

5 0
2 years ago
What will be the new position of the given point (-2,7)after translation of 3 units up and 1 units left?
Sindrei [870]

Answer:( -3, 10)

Step-by-step explanation:

5 0
2 years ago
Image of parabola with a maximum value at (1, 9), y-intercept at (0, 8) and x-intercepts at (2, 0) and (4, 0).
natka813 [3]

Answer:

  (a)  4 seconds

Step-by-step explanation:

The given point (4, 0) on the parabola tells you the answer to the question: the coin was in the air 4 seconds before its height is 0. It is no longer in the air at that point.

__

<em>Additional comment</em>

In order to match the rest of the problem statement, the first given x-intercept must be (-2, 0).

4 0
2 years ago
Use compatible numbers to find two estimates 73÷4,858
zvonat [6]
Compatible numbers to find two estimates 73÷4,858

70÷4,850 = 0.014
You sure it's not 4,858÷73
4,850÷70 =

______ _____ 69 2/7
70)4850. 7)485
42
65
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8 0
3 years ago
What is the equation of this graph? <br><br>a) x=-7<br>b) y=-7<br>​
sergiy2304 [10]
Since it’s vertical it would be x=-7
4 0
3 years ago
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