Answer:
sec theta = (sqrt24/5) cos theta = -2/5 tan theta = (-[sqrt 21]/2) sec theta = 5/2 csc theta = (5sqrt21)/21 cot theta = (-2sqrt21)/21
Step-by-step explanation:
During the problem, secx = -5/2, we can assume that as cos = -2/5. -2 = x. 5 = r. find for Y with: x^2+y^2=r^2. After that, plug in for the variables and you get all the answers. Rationalize the square roots, don't forget.
Answer:
Volume of rectangular prism = 1 1/3 x 5/6 x 2/3 = 4/3 x 5/6 x 2/3 = 20/27
Volume of cube = 1/6 x 1/6 x 1/6 = 1/216
Number of cubes that will pack the rectangular prism = 20/27 / 1/216 = 160
eddibear3a and 47 more users found this answer helpful
Step-by-step explanation:
Subtract 469 from 576
576
-469
--------
107
Answer:
36
Step-by-step explanation:
N = 6
S = 0 n = 1
2(1) - 1 = 1
S = 0 + 1 = 1
n = n + 1
n = 1 + 1
n = 2
S = 1 n = 2
2(2) - 1 = 3
S = 1 + 3 = 4
n = n + 1
n = 2 + 1
n = 3
S = 4 n = 3
2(3) - 1 = 5
S = 4 + 5 = 9
n = n + 1
n = 3 + 1
n = 4
S = 9 n = 4
2(4) - 1 = 7
S = 9 + 7 = 16
n = n + 1
n = 4 + 1
n = 5
S = 16 n = 5
2(5) - 1 = 9
S = 16 + 9 = 25
n = n + 1
n = 5 + 1
n = 6
S = 25 n = 6
2(6) - 1 = 11
S = 25 + 11 = 36
n = n + 1
n = 6 + 1
n = 7 > N
Stop
Answer:
Step-by-step explanation
(x^2-3)(x+2)=x^3+2x^2-3x-6
x(x^2-3)+2(x^2-3)=x^3+2x^2-3x-6
x^2(x+2)-3(x+2) =x^3+2x^2-3x-6