Answer:
r=3.399
Step-by-step explanation:
82.3=1/2(4/3pir^3)
164.6=4/3pir^3
164.6*(3/4) = 123.45=pir^3
123.45/pi=39.2953554494=r^3
cube root of 39.2953554494 =3.399
r= around3.4
Answer:
74 feet and 6 feet
Step-by-step explanation:
Mentioned that
The Length of the dog park is = (8x + 2)............(i)
And,
The Width of the park is = (2x -12)..................(ii)
Perimeter = 160 feet
Now here we use the perimeter formula which is
Perimeter is
= 2 (length + width)
160 = 2 (8x + 2 + 2x - 12)
160 = 2 (10x - 10)
160 = 20x - 20
180 = 20x
x = 9
Now put the x value into the equation 1 and equaton 2
For the equaton 1, the length us
= 8x + 2
= 8(9) + 2
= 74 feet
And, the width is
= 2x - 12
= 2(9) - 12
= 18 - 12
= 6 feet
The answer is 1,800, you would multiply 5 by 10 which is 50 then t would be 50 to the 4th power 50 times 4 is 200. then you do the same on the other side 3 time 10 which is 30 to the second power which is 90 than you multiply 200 and 90 because when you have two parentheses next to each other you always multiply but when you do that your answer turns out to be 1,800
Answer:
Step-by-step explanation:
we know that distance d from the focus to P should be the same to the distance from P to the directrix
(x-h)^2=4p(y-k)
we need to find the y coordinate,
x is the same from focus, 3
y=(3, (4+2)/2)=(3,3)
we find p now by subtracting the y from the focus from the y that we just found
p=4-3=1
again (x-h)^2=4p(y-k), p=1
(x-3)^2=4(1)(y-3)
(x-3)^2=4(y-3), (x-3)^2=4y-12
simplify
4y=(x-3)^2+12
y=((x-3)^2)/4 + 3