Answer:
66018.5 sq feet
Step-by-step explanation:
Area = πr²
To find the Radius R we need Diameter which 290 fee so:
R = Diameter / 2
R = 290/2
R = 145 ft
Now put values in Area Formula
Area = 3.14 x (145)^2
A = 66018.5 sq feet
Answer:
A and C.
Step-by-step explanation:
to get rid of the square root & n, you would have to multiply it by n on both sides of the equation, giving you r^n=a.
also to get rid of the square root & n, you can also multiply both sides of a and r by the exponential fraction with n as the denominator:
![\sqrt[n]{a} =r \\(a)^\frac{1}{n} = r\\a\frac{1}{n} = r](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%20%3Dr%20%5C%5C%28a%29%5E%5Cfrac%7B1%7D%7Bn%7D%20%3D%20r%5C%5Ca%5Cfrac%7B1%7D%7Bn%7D%20%3D%20r)
A ray is basically a line that has a "fixed point" on one end (this would be represented by a shaded circle on one end) and the opposite end goes to infinity (this would be represented by an arrow). The first image below is an example of a ray.
When writing rays out you must write it like in the third image below. Note that there is a "ray" on top of the "letters". The letter that signifies the end point (In the example below this would be "A") is under the side that has NO arrow symbol, and the letter that signifies the continues end is under the side of the ray that HAS the arrow. In other words the "formula" for writing out rays is:
End point; infinite end
We must find four rays with the endpoint E. This means that the "fixed point" must be E and the other end must continue indefinitely.
In the second image below I have colored each ray with the end point E in a different color.
First we have the ray EA (I don't know how to make the ray symbol on here so just assume that above EA the arrow looks like so: --->)
Next is ray EG (again the symbol above EG is --->)
Next is the ray ED (symbol above ED is --->)
Finally EF is a ray with the end point E (symbol above EF is --->)
When looking at the answer choices the only two that even use the correct symbol is B and C.
The issue with option C is that the end point (E) doesn't come first when they wrote it out.
That makes the answer B!
Hope this helped!
~Just a girl in love with Shawn Mendes
~Just a girl in love with Shawn Mendes
V=x(8-2x)(10-2x) or expanded
V=x(4x^2-36x+80)
V=4x^3-36x^2+80x
...
If you were to graph the above equation for V(x) you will see a maximum point where the "y" value is maximized, but be careful as V will increase without bound at values of x that are not part of the domain, ie, in this case x<8/2, x<4 to have any meaning...The proper domain of this function is:
x=(0,4), Mathematically finding this point quickly is by differentiating it with respect to x...
dV/dx=12x^2-72x+80, The maximum volume will occur when dV/dx=0 and the x value is within the correct domain...
12x^2-72x+80=0 (using the quadratic formula for ease)
x=(72±√1344)/24, and since x<4
x≈1.472in (to the nearest one thousandth of an inch)
Answer: 80 miles
Work: I just did 40 times 2 because they completed half their trip, and they need to complete 40 more miles.
<em>Happy Holidays! :)</em>