Answer:
)Alex picks more red cards than black cards,
Step-by-step explanation:
Answer:
12 cm
Step-by-step explanation:
First, we find the scale factor from cone S to cone T.
ratio of volumes = (vol of T)/(vol of S) = (6144 pi cm^3)/(768 pi cm^3) = 8
The ratio of the volumes is 8:1
The scale factor, which is the ratio of linear dimensions (height, radius, etc.), is the cubic root of the ratio of the volumes.
scale factor = cubic root of 8 = 2
The height of cube T is 24 cm, so the height of cube S is 24 cm/2 = 12 cm.
The value of sin(2x) is 
Explanation:
Given that 
The formula for 
is 
Since, 
Also, it is given that
Thus, 
and 
To find the hypotenuse, let us use the pythagoras theorem,
Now, we can find the value of sin x and cos x.
Now, substituting these values in the formula for sin 2x, we get,
Thus, the value of sin(2x) is
10(3+4)= 30+40
I factored the 10 and put it on the outside
1/3 of 39,900 equals 1/3*39900
(1/3)*(39900/1)= 39900/3
39900/3= 13300
Final answer: 13,300
