The volume of the cube would be S^3, where S is the length of the side.
Volume = (5a + 4b)^3
Which becomes:
(5a+4b)(5a+4b)(5a+4b)
Multiply the first two sets of parenthesis by each other:
(25a^2+40ab+16b^2)(5a+4b)
Now multiply that by the 3rd set of parenthesis to get:
125a^3+300a^2b + 240ab^2 + b^3
Answer:
Step-by-step explanation:
Short of taking 3 hours to type out the way that I did this, let me just tell you the process. Square both sides and multiply to distribute. You end up with radicals still, so square both sides again and multiply to distribute. What you end up with is a 6th degree polynomial that has to be factored. What I got in the end were these zeros:
x = 21.41917943
x = 1.306542114+/-7186864435i
x = -1.066667927
x = 1.28038353
x = 1.28038353
x = -.2459792634
1.6 : 4
1.6 is also equal to 8/5
therefore,
8/5 : 4
(8/5)/4
**get the reciprocal of the denominator (4) which is equal to 1/4**
(8/5)*(1/4)
(8/4)*(1/5)
2*(1/5)
2/5
two fifth is the answer
Answer:
A protractor.
Step-by-step explanation:
Answer:
- radius: 15 ft
- diameter: 30 ft
- circumference: 30π ft
Step-by-step explanation:
The area is given in terms of the radius as ...
A = πr^2
so we can find the radius as ...
r = √(A/π)
For your circle, the radius is ...
r = √(225π ft^2/π) = 15 ft
The diameter is twice the radius, so is ...
d = 2r = 2·15 ft = 30 ft
And the circumference is π times the diameter:
C = πd = π·30 ft = 30π ft