Answer:
see below
Step-by-step explanation:
sin x 1
------------------- = -----------
sec^2 x - tan ^2 x csc x
Sec = 1/cos and tan = sin/cos
sin x 1
------------------- = -----------
1/ cos ^2 x -sin^2/cos ^2 x csc x
Factor the denominator
sin x 1
------------------- = -----------
(1-sin^2 x)/ cos ^2 x csc x
We know that 1 - sin^2 x = cos ^2
sin x 1
------------------- = -----------
(cos^2 x)/ cos ^2 x csc x
sin x 1
------------------- = -----------
1 csc x
Multiply the top and bottom of the left hand side by 1/ sin x
sin x * 1/ sin x 1
------------------- = -----------
1 * 1 sin x csc x
1 1
------------------- = -----------
1 sin x csc x
We know that 1/sin x = csc
1 1
--------- = -----------
csc (x) csc x
Pairs of numbers between 1 and 6 that add up to 7: 1+6, 2+5, 3+4, 4+3, 5+2, 6+1
Pairs of numbers between 1 and 6 that add up to 8: 2+6, 3+5, 4+4, 5+3, 6+2
Pairs of numbers between 1 and 6 that add up to 9: 3+6, 4+5, 5+4, 6+3
6 for 7, 5 for 8, 4 for 9. 15 in all
Answer:
b. 256
Step-by-step explanation:
Data:
W= 8
L= 8
H= 8
soln:
firstly the formula of lateral area is
LSA = (2W+2L) H
therefore:
LSA = (2×8+2×8) 8
LSA = (16+16) 8
LSA = (32) 8
LSA = 256
Answer:
Step-by-step explanation:
slope, m = 0.1m/4m = 0.025
Theoretical effort (ignoring friction) = 9000N * 0.025 = 225 N
actual effort = 300 N
efficiency
= potential energy out / actual energy in
= 225 N / 300 N = 0.75
