Answer:
12
Step-by-step explanation:
40 divided by 4 is 10. 56 divide by 4 is 14. So 3 times 4 is 12
Answer: The answer is 2,713 in³
The volume (V) of the prop is the sum of the volume of cone (V1) and half of the volume of the sphere (V2): V = V1 + 1/2 * V2
Volume of the cone is:
V1 = π r² h / 3
According to the image,
h = 14 in
r = 9 in
and
π = 3.14
V1 = 3.14 * 9² * 14 / 3 = 1,186.92 in³
The volume of the sphere is:
V2 = π r³ * 4/3
According to the image,
r = 9 in
and
π = 3.14
V2 = 3.14 * 9³ * 4/3 = 3,052.08 in³
The volume of the prop is:
V = V1 + 1/2 * V2
V = 1,186.92 in³ + 1/2 * 3,052.08 in³
V = 1,186.92 in³ + 1,526.04 in³
V = 2,712.96 in³ ≈ 2,713 in³
Answer:
Step-by-step explanation:
Math on it's own is not hard. It's the way teachers teach it. It also could be your brain, some peoples brain (like my own) aren't made for math where there is only one answer but for creative interprutive answers like philosophy and art. Some minds are good for sports. Find what your mind is good for and you never go wrong.
As it has been given that 
, 
.
We need to find the value of the following:
(i) 
, substituting the value of 'x' and 'y' in the expression, we get:
So, 
(ii) 
, substituting the value of 'x' and 'y' in the expression, we get:
So, 
(iii) 
, we need to substitute the value of 'x' and 'y' in the expression, for this, we can use distributive property of multiplication that says,
Using the distributive property of multiplication:
Now, we know that 
We get, 
Therefore, =
.
(iv) We have, 
, we need to substitute the value of 'x' and 'y' in the expression, we get:
Again, we can use distributive property of multiplication that says,
So,
since, 
we get,
Therefore,
