Circumference = 2 * pi * r, where r is the radius
For this circle, the circumference is 11pi, so 11pi=2*pi*radius. Divide both sides by 2pi and you get r is = to 5.5 inches.
Area of a circle is pi*r^2. Since we just saw that r = 5.5 inches, the circle has an area of 5.5 inches * 5.5 inches * pi or 30.25 pi inches squared.
let's recall that the vertical asymptotes for a rational expression occur when the denominator is at 0, so let's zero out this one and check.
![\bf \cfrac{5x+5}{x^2+x-2}\qquad \stackrel{\textit{zeroing out the denominator}~\hfill }{x^2+x-2=0\implies (x+2)(x-1)=0}\implies \stackrel{\textit{vertical asymptotes}}{ \begin{cases} x=-2\\ x=1 \end{cases}}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B5x%2B5%7D%7Bx%5E2%2Bx-2%7D%5Cqquad%20%5Cstackrel%7B%5Ctextit%7Bzeroing%20out%20the%20denominator%7D~%5Chfill%20%7D%7Bx%5E2%2Bx-2%3D0%5Cimplies%20%28x%2B2%29%28x-1%29%3D0%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bvertical%20asymptotes%7D%7D%7B%20%5Cbegin%7Bcases%7D%20x%3D-2%5C%5C%20x%3D1%20%5Cend%7Bcases%7D%7D)
Answer:
They cost 25c
Step-by-step explanation:
100÷4 is 25
and boom mark brainliest pls
Answer: Choice A) $4500.33
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Explanation:
The formula you'll use is
F = P*(1+r)^t
where
F = final amount
P = initial amount
r = growth rate (in decimal form)
t = time in years
In this case,
F = unknown (this is what we're trying to figure out)
P = 3046
r = 0.05 (since 5% = 5/100 = 0.05)
t = 8
Plug those three known values into the formula and evaluate
F = P*(1+r)^t
F = 3046*(1+0.05)^8
F = 3046*(1.05)^8
F = 3046*1.4774554
F = 4500.3291484
F = 4500.33 ... round to the nearest penny
Answer:
its the 3rd choice.
Step-by-step explanation:
Firstly, we find angle BDC (180-90-30=60)
Now that we found it we can use the sine rule to find DB (which i put as an x), which is sin60/14=sin30/x, by cross multiplication, we find that its equal to a decimal number, i will use its root version to this easier, its equal to 14sqrt3/3 inches.
And now we use the pythagorean theorem to find DC, we find that it is equal to 28sqrt3/3
Now, we find angle BAC (180-90-(30+15)=45)
Again, we use the sine rule to find AB (whom i will refer to as x and from whom we will subtract DB to find the length of AD), so we cross multiply in sin45/14=sin(30+15)/x, it is equal to 14.
So since AB-DC=AD
14-(14sqrt3/3)= 5.917096231 (and we ound that to a 5.9)