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Stells [14]
3 years ago
15

How do I do this, I am very VERY confused I need a lot of help please someone!?!?

Mathematics
1 answer:
Lyrx [107]3 years ago
7 0

it is 40.5 because area equals base times height.

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Randy filled out a deposit slip today. He deposited two checks for $123.17 and $34.68 and took out $50 in cash
erica [24]
What he has left in the bank is here :

(123.17 + 34.68) - 50 = 107.8

He still has $107.8 left in the bank and he has $50 in his pocket.

I hoped I helped!
7 0
3 years ago
Read 2 more answers
Convert the integral below to polar coordinates and evaluate the integral.
Lelechka [254]

Answer:

\int\limits_{0}^{4/\sqrt{2}}\int\limits_{y}^{\sqrt{16-y^2}}  xy \, dxdy =  \int\limits_{0}^{\pi/4} \, \int\limits_{0}^{4}    r^3 cos(\theta)\sin(\theta) \,\,  drd\theta = 16

Step-by-step explanation:

We are trying to evaluate this integral.

\int\limits_{0}^{4/\sqrt{2}}\,\,\int\limits_{y}^{\sqrt{16-y^2}}  xy \,\,dxdy

The first thing that we have to do is understand this region in the plane.

\{ (x,y) \in \mathbb{R} :  0\leq y \leq \frac{4}{\sqrt{2}} \,\, , y \leq x \leq \, \sqrt{16-y^2}   \}

If you graph it looks something like the photo I join.

Now we need to describe that same region in polar coordinates.

That same region in polar coordinates would be

\{ (r,\theta) : \,\, 0 \leq \theta \leq \frac{\pi}{4}  \,\,\, 0\leq r \leq 4  \}

Now remember that when we do the polar transformation we use the following formula

\int\limits_{a}^{b} \, \int\limits_{c}^{d}    f(x,y) \,dxdy =  \int\limits_{\theta_1}^{\theta_2} \, \int\limits_{r_1}^{r_2}    r* f(rcos(\theta),rsin(\theta))  \,drd\theta

Then our integral would be

\int\limits_{0}^{4/\sqrt{2}}\int\limits_{y}^{\sqrt{16-y^2}}  xy \, dxdy =  \int\limits_{0}^{\pi/4} \, \int\limits_{0}^{4}    r^3 cos(\theta)\sin(\theta) \,\,  drd\theta = 16

6 0
3 years ago
Kareem lives 4/10of a mile from the mall . write equivalent fractions that show what fraction of a mile karen lives from the mal
Slav-nsk [51]
You just have to simplify it by two 2/5 8/20

6 0
3 years ago
What I am really in need of help. If anyone answers this I will award 60 points to anyone!
Vesna [10]
There is usually calculator that will solve it for you look for them just plug the question in and it can show the steps too
7 0
3 years ago
15. Madison invested in a certificate of deposit for 4 years at a 6% interest rate. At the end of the 4 years, the value
Reptile [31]

Answer:

2455.49

Step-by-step explanation:

3100=x(1+.06)^4\\x=2455.490356

6 0
3 years ago
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