Answer:
A is correct
Step-by-step explanation:
In this question, we are concerned with. calculating the diameter of a bubble given the volume of the bubble.
Since we have assumed the bubble to be a perfect sphere, it’s volume V = 4/3 * pi * r^3
Plugging the value of V = 1000cm^3 , we have
1000 = 4/3 * pi * r^3
3000/4pi = r^3
r^3 = 238.732
r = cube foot of 238.732
r = 6.20cm
This is same as 6.2cm
Answer:
5256 orbits
Step-by-step explanation:
There are 8760 hours in a year, and at a rate of 0.6 orbits per hour you can find how many orbits there are per year by multiplying the rate and time like this
8760 x 0.6
This gives us an answer of 5256 which is the number of orbits per year
sin^2 x + 4 sinx +3 3 + sinx
-------------------------- = -------------------
cos^2 x 1 - sinx
factor the numerator
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
cos^2 x 1 - sinx
cos^2 = 1-sin^2x
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
1- sin^2x 1 - sinx
factor the denominator
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
(1-sinx ) (1+sinx) 1 - sinx
cancel the common term (1+sinx) and (sinx +1)
(sinx +3) 3 + sinx
-------------------------- = -------------------
(1-sinx ) 1 - sinx
reorder the first term
3+sinx 3 + sinx
-------------------------- = -------------------
(1-sinx ) 1 - sinx
72/75 in the simplist form is a 24/25 as 3 is the only the number that divides into them both for an whole answer
