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It doesn't specify what type of quadrilateral, so you can use any kind, and I would think a square would be the easiest to prove. Draw the diagram, label the points, and see if you can prove it from there. 

Hope this helps!

Agreed

It was a pretty awsome day 

Let all possible slopes be S. S is anything bigger than or equal to 1, and anything smaller than or equal to -1.

If you draw the diagram, you can see that the pentagon is made up of the three triangles that we got the area of. So $A=10.2+11.5+16.3=38$.

Hope this helps!

Thank you for the thanks, though today has been an off day for me I have to say..

Who Thinks today is Awsome?????

By using Complementary Counting, you can find the probability that no days snow, and subtract that from $1$. The probability that no day snows is $\frac{1}{3}*\frac{1}{3}*\frac{1}{3}=\frac{1}{27}$, so the probability of it snowing at least one day is $1 - \frac{1}{27}= \frac{26}{27}$.

- Daisy

The diagonal of the rectangle would be the radius, so you can use Pythagorean Theorum to find the diagonal. We have $6^2+8^2=(2x)^2$, so $100=4r^2$, $r=5$.

- Daisy

Thank you so much CoolStuffYT! 

It's an effective annual rate.

Suppose we had 5% interest.

Compounded quarterly we'd have an effective annual rate of 

$\left(1+\dfrac{0.05}{4}\right)^4 -1= 0.0509453 =5.09453\%$

Compounded monthly 

$\left(1+\dfrac{0.05}{12}\right)^{12} -1=0.0511619 = 5.11619\%$

Nice one! You are a lot better at drawing diagrams than I am apparently.

If the first foci is $(3,7)$ and the second is $(d, 7)$, then $C =$ $(\frac{d+3}{2}, 7)$. $C$ is the center of the ellipse. The point where the ellipse touches the x-axis is $(\frac{d+3}{2}, 0)$.

We know that $P$(any points on the ellipse) = $T$, so

$2 \sqrt{\left( \frac{d - 3}{2} \right)^2 + 7^2} = d + 3$  

$\sqrt{\left( \frac{d - 3}{2} \right)^2(4) + 7^2(4)} = d + 3$

$\sqrt{(d - 3)^2 + 196} = d + 3$

Then, by squaring both sides, we get 

$(d - 3)^2 + 196 = d^2 + 6d + 9$

$d^2-6d+9+196=d^2+6d+9$

$12d=196$

$d=\frac{49}{3}$

- Daisy

Using a + z score table        0.9082

That is a compound interest formula     r is the ANNUAL rate    n is the number of compunding periods per year    and t is the number of years.