Answer:
401.92 cm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = (3.14) (4)^2 *8
V= 401.92
Answer:
y=2
Step-by-step explanation:
first solve those in the brackets then find the square root
2y+3=11
put like terms together
3 goes to the right side
2y=11-3
2=8
y=4
√4=2
y=2
Recall that 2sin(x) cos(x) is actually equal to sin(2x).
We can prove this by expanding sin(2x) to sin(x + x).
sin(x + x) = sin(x) cos(x) + cos(x) sin(x) = 2sinxcosx
Thus, 2sin(x/2)cos(x/2) can be rewritten in the form:
sin(2x/2), and this simplifies down to sinx.
Answer: 20,40,60,80,100
Step-by-step explanation:
The possible numbers has be the multiples of 5 and 4 in other words the LCM.
The LCM of 5 and 4 are,
20,40,60, 80,100 ....
Answer:
Step-by-step explanation:
It must end in 
(divisible by 2 rule) and the digits must sum to a multiple of 9(divisible by 9 rule).
The digit sum is 
.
We want to make 
as low as possible because it's a higher digit than 
.
If is as low as possible, we have that the sum is 
. Uh-oh. has to be even! So 
doesn't work.
If 
, we have that the sum is 
. Yay!
So, the answer is 
