A cylindrical cooling sleeve for a beverage is filled with liquid for freezing.The sleeve is 1 cm thick; the inner radius of the sleeve is 4 cm, the outer radius of the sleeve is 5 cm and the height of the sleeve is 10 cm. How much liquid is needed? Give the exact answer.
180? cm3
Mathematics
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Write the first four terms of the sequence.an = 1 - 
A. a1 = 0, a2 = 
, a3 = 
, a4 = 
B. a1 = 0, a2 = 
, a3 = 
, a4 = 
C. a1 = 1, a2 = 
, a3 = 
, a4 = 
D. a1 = 1, a2 = 
, a3 = 
, a4 = 
Mathematics
Write the sum as a product. sin 4x + sin 5x
(a) sin 4x sin 5x (b) sin 4x cos5x (c) 2sin(9x / 2)cos(x / 2) (d) sin 4x cos(x / 2) (e) 2sin 3x cos(x / 2)
Mathematics
Combine the following, if possible.
+ 
+ 
+ 
A. 11
+ 
+ 
B. 11
+ 9
C. 
+ 
+ 9
D. 73
+ 9
Mathematics
Evaluate 
using the formula from this section.
?
?
A. 20 B. 28 C. 10 D. 21 E. 15
Mathematics