Answer:
a) 235.62in³
b) 904.78in³
Step-by-step explanation:
a) The formula to find the volume of a cylinder is:
We are given that r = 5 and h = 3, so we can just plug in and solve:
b) The formula to find the volume of a sphere is:
We are given that the diameter is 12in, which means that the radius (r) must be 6in (half the diameter). Now, we can plug in and solve:
Answer:
Step-by-step explanation:
the first one is not proportional, and the second one is proportional
the answer would be y is 5 times x.
hope this helped!
Answer:
hello :
3x3 – 11x2 – 26x + 30 divided by x – 5 is :3x2 + 4x – 6
because :
(x-5)(3x²+4x-6)=3x^3+4x²-6x-15x²-20x+30 =3x3 – 11x2 – 26x + 30
Step-by-step explanation:
Answer:
2nd option
Step-by-step explanation:
Under a rotation about the origin of 90°
a point (x, y ) → (- y, x )
There are 4 cats, 2 dogs and 1 goldfish for a total of 7 animals. These animals should be distributed to each of Mr. Smith's children. But we must note of the restrictions.
This is the solution for the problem:
2(7C6) + 2(7C4) + 3(7C1)
How is this so? The first term stand for Anna and Betty, hence, 2. Each of them must choose 6 out of the 7 animals (except for goldfish). That's why it's written as '7C6' which is combination of 6 out of 7. It stands for nCr, or 'r' objects out of 'n'. The equation for that is n!/[r!(n-r)!]. The second term is for Charlie and Danny who gets 4 cats out of the 7 animals. And lastly, the other 3 would get the three last pet available.
Solving the equation, the answer is 105 ways.
