Answer:
26
2
/3 cm3
Step-by-step explanation:
V = (6
2
3
)(2)(2) = 26
2
3
Can also be solved by counting the fractional cubes.
Answer:
- 4m - 2r - 25
Step-by-step explanation:
-8m + (-15) + 4m - 2r - 10
- 8m - 15 + 4m - 2r - 10
collect the like terms beginning with the positives
4m - 8m - 2r - 10 - 15
- 4m - 2r - 25
Answer:
-8
Step-by-step explanation:
x+x+1= -15
2x+1=-15 (group the x's together)
2x= -14 (move the 1 to the right side)
x= -7
(-7)+(-8) = -15
-8 is the smaller integer
The identity in question is
cos(a - b) = cos(a) cos(b) + sin(a) sin(b)
so that
cos(a - b) = 12/37 cos(a) + 3/5 sin(b)
Since both a and b lie in the first quadrant, both cos(a) and sin(b) will be positive. Then it follows from the Pythagorean identity,
cos²(x) + sin²(x) = 1,
that
cos(a) = √(1 - sin²(a)) = 4/5
and
sin(b) = √(1 - cos²(b)) = 35/37
So,
cos(a - b) = 12/37 • 4/5 + 3/5 • 35/37 = 153/185
