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snow_lady [41]
3 years ago
5

A stained glass window is shaped like a semicircle. The bottom edge of the window is 36 inches long. What is the area of the sta

ined glass window? Round your answer to the nearest hundreth.
Mathematics
1 answer:
zhannawk [14.2K]3 years ago
3 0

A semi circle is half of a circle, and since a circle is (pi)r^2, it would be 1/2 (pi) r^2. Since the radius is half the diameter, we would turn the 36 inches into 18 inches. So 18in is your radius. Plug it in and you've got it. :)


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10 mL = ____________ L ( 1L = 1000 ml
DENIUS [597]

Solution:

<u>Note that:</u>

  • 1 L = 1000 ml

<u>Using the clue above, let's solve each problem.</u>

  • 10 mL        =        10/1,000 L           =           0.01 L
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  • 4 L            =       4 x 1,000 mL        =       4,000 mL
  • 230 mL    =        230/1,000 L         =           0.23 L
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Hoped this helped!

4 0
3 years ago
It's 1880 and you've just heard that a professional bas ball team is starting in your town.would you want to be on the team or w
Oksana_A [137]
Sorry, I don't know what you would say, but to your preference, choose which you would prefer, then back your reasoning with three sentences using evidence from your personality and how the situation would work out for you. It would work out like a persuasive essay, so put a lot of effort and balance your sentences out.
Hope this helped
5 0
4 years ago
Read 2 more answers
Find the radius of convergence, r, of the series. ? n2xn 7 · 14 · 21 · ? · (7n) n = 1
defon
I'm guessing the series is supposed to be

\displaystyle\sum_{n=1}^\infty\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}

By the ratio test, the series converges if the following limit is less than 1.

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7\cdot14\cdot21\cdot\cdots\cdot(7n)\cdot(7(n+1))}}{\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}}\right|

The first n terms in the numerator's denominator cancel with the denominator's denominator:

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7(n+1)}}{n^2x^n}\right|

|x^n| also cancels out and the remaining factor of |x| can be pulled out of the limit (as it doesn't depend on n).

\displaystyle|x|\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2}{7(n+1)}}{n^2}\right|=|x|\lim_{n\to\infty}\frac{|n+1|}{7n^2}=0

which means the series converges everywhere (independently of x), and so the radius of convergence is infinite.
3 0
4 years ago
What is the range of F(x)=72x-x^2
Marianna [84]

Answer:

Range of F(x) = (-∞ ,72).

Step-by-step explanation:

Range of the function F(x) means the set of values which are taken by the function along its domain.

F(x) = 72 - x^{2}

Since coefficient of x^{2} is negative on the right side ,

Maximum value of F(x) will come at x = 0.

Which is, F(0) = 72.

Now, as x increases , F(x) decreases , when x will reach infinity ,

F(x) will be reaching negative of infinity .

Thus, F(x) is ranging from -∞ to 72 .

Range of F(x) = (-∞ ,72).

3 0
3 years ago
You roll a number cube once.<br> what is the theoretical probability that you roll a 3 or 4?
yanalaym [24]

Answer:

2/6 or 1/3

Each number has 1 /6 probability. But since you can accept either 3 or 4, the probability is better and is 2/6 or simplified to 1/3.

4 0
3 years ago
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