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chubhunter [2.5K]
3 years ago
13

Gordy is a goalie for a neighborhood soccer team.He played in 65% of the 20 games this season.In how man ygames did he not play?

Explain
A.6
B.7
C.10
D.13
Mathematics
2 answers:
elena-s [515]3 years ago
8 0
If you would like to know in how many games Gordy didn't play, you can calculate this using the following steps:

Gordy played in:
65% of 20 games = 65% * 20 = 65/100 * 20 = 13 games

He did not play in:
20 games - 13 games = 7 games

The correct result would be B. 7 games.
Maksim231197 [3]3 years ago
4 0
<span>.35*20=7

</span><span>B.7 is the answer.</span>
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The expression that is equal is 72 or 4935
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if Angela's house is assessed valuation of $61,200 and the tax rate per 100 is $3.78 what will she pay in annual real estate tax
poizon [28]

Answer:

\boxed{\text{\$2313.40}}

Step-by-step explanation:

The tax rate is $3.78/$100 assessed

\text{Tax} = \text{\$61 200 assessed} \times \dfrac{\text{\$3.78}}{\text{\$100 assessed}}

Cancel the $100 assessed.

612 × $3.78 = $2313.40

Angela's real estate tax will be \boxed{ \textbf{\$2313.40}}

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3 years ago
use the general slicing method to find the volume of The solid whose base is the triangle with vertices (0 comma 0 )​, (15 comma
lyudmila [28]

Answer:

volume V of the solid

\boxed{V=\displaystyle\frac{125\pi}{12}}

Step-by-step explanation:

The situation is depicted in the picture attached

(see picture)

First, we divide the segment [0, 5] on the X-axis into n equal parts of length 5/n each

[0, 5/n], [5/n, 2(5/n)], [2(5/n), 3(5/n)],..., [(n-1)(5/n), 5]

Now, we slice our solid into n slices.  

Each slice is a quarter of cylinder 5/n thick and has a radius of  

-k(5/n) + 5  for each k = 1,2,..., n (see picture)

So the volume of each slice is  

\displaystyle\frac{\pi(-k(5/n) + 5 )^2*(5/n)}{4}

for k=1,2,..., n

We then add up the volumes of all these slices

\displaystyle\frac{\pi(-(5/n) + 5 )^2*(5/n)}{4}+\displaystyle\frac{\pi(-2(5/n) + 5 )^2*(5/n)}{4}+...+\displaystyle\frac{\pi(-n(5/n) + 5 )^2*(5/n)}{4}

Notice that the last term of the sum vanishes. After making up the expression a little, we get

\displaystyle\frac{5\pi}{4n}\left[(-(5/n)+5)^2+(-2(5/n)+5)^2+...+(-(n-1)(5/n)+5)^2\right]=\\\\\displaystyle\frac{5\pi}{4n}\displaystyle\sum_{k=1}^{n-1}(-k(5/n)+5)^2

But

\displaystyle\frac{5\pi}{4n}\displaystyle\sum_{k=1}^{n-1}(-k(5/n)+5)^2=\displaystyle\frac{5\pi}{4n}\displaystyle\sum_{k=1}^{n-1}((5/n)^2k^2-(50/n)k+25)=\\\\\displaystyle\frac{5\pi}{4n}\left((5/n)^2\displaystyle\sum_{k=1}^{n-1}k^2-(50/n)\displaystyle\sum_{k=1}^{n-1}k+25(n-1)\right)

we also know that

\displaystyle\sum_{k=1}^{n-1}k^2=\displaystyle\frac{n(n-1)(2n-1)}{6}

and

\displaystyle\sum_{k=1}^{n-1}k=\displaystyle\frac{n(n-1)}{2}

so we have, after replacing and simplifying, the sum of the slices equals

\displaystyle\frac{5\pi}{4n}\left((5/n)^2\displaystyle\sum_{k=1}^{n-1}k^2-(50/n)\displaystyle\sum_{k=1}^{n-1}k+25(n-1)\right)=\\\\=\displaystyle\frac{5\pi}{4n}\left(\displaystyle\frac{25}{n^2}.\displaystyle\frac{n(n-1)(2n-1)}{6}-\displaystyle\frac{50}{n}.\displaystyle\frac{n(n-1)}{2}+25(n-1)\right)=\\\\=\displaystyle\frac{125\pi}{24}.\displaystyle\frac{n(n-1)(2n-1)}{n^3}

Now we take the limit when n tends to infinite (the slices get thinner and thinner)

\displaystyle\frac{125\pi}{24}\displaystyle\lim_{n \rightarrow \infty}\displaystyle\frac{n(n-1)(2n-1)}{n^3}=\displaystyle\frac{125\pi}{24}\displaystyle\lim_{n \rightarrow \infty}(2-3/n+1/n^2)=\\\\=\displaystyle\frac{125\pi}{24}.2=\displaystyle\frac{125\pi}{12}

and the volume V of our solid is

\boxed{V=\displaystyle\frac{125\pi}{12}}

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gtnhenbr [62]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Need help with this
nydimaria [60]

Answer:

The median is 36.8

Step-by-step explanation:

The median is the middle number in an ordered list.

We have to sort the list in increasing or decreasing order

5.9, 11.2, 13.9, 16.6, 22.9, 36.8, 43.1, 43.7, 44.2, 45.1, 49\\

Now we can remove the first and last numbers in each iteration until we get to the median

11.2, 13.9, 16.6, 22.9, 36.8, 43.1, 43.7, 44.2, 45.1\\13.9, 16.6, 22.9,36.8, 43.1, 43.7, 44.2\\16.6, 22.9, 36.8,43.1, 43.7\\22.9, 36.8, 43.1

36.8

4 0
2 years ago
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