A.
Number of marbles with 'B' written on them is [ n(A)] = 6.
Total number of marbles [ n(S)] = 15.
Thus, Probability is
P(A) = n(A) / n(S)
= 6/15 = 2/5. ⬅️
B.
Number of green marbles [ n(A)] = 5.
Total number of marbles [ n(S)] = 15.
Thus, Probability is
P(A) = n(A) / n(S)
= 5/15 = 1/3 ⬅️
Conversion Formula: Radian/π = Degree°/180°
R= 7π/4, Degree =?
Apply the formula:
So [(7π/4) / π = Degree / 180] (note that 7π/4) / π = 7/4)
Degree = (7/4) x 180° = 315°
Answer:
x = 3, y = 3, z = - 2
Step-by-step explanation:
Given the 3 equations
x - y - 2z = 4 → (1)
- x + 3y - z = 8 → (2)
- 2x - y - 4z = - 1 → (3)
Add (1) and (2) term by term to eliminate x
2y - 3z = 12 → (4)
Multiply (1) by 2 and add to (3) to eliminate x
2x - 2y - 4z = 8 → (5)
Add (3) and (5) term by term to eliminate x
- 3y - 8z = 7 → (6)
Multiply (4) by 3 and (6) by 2
6y - 9z = 36 → (7)
- 6y - 16z = 14 → (8)
Add (7) and (8) term by term to eliminate y
- 25z = 50 ( divide both sides by - 25 )
z = - 2
Substitute z = - 2 into (7)
6y + 18 = 36 ( subtract 18 from both sides )
6y = 18 ( divide both sides by 6 )
y = 3
Substitute y = 3 and z = - 2 into (1)
x - 3 + 4 = 4
x + 1 = 4 ( subtract 1 from both sides )
x = 3
Solution is x = 3, y = 3, z = - 2
Answer:
43.94?
Step-by-step explanation:
I think if you use inverse cos you should get the correct number. So, to find cos, you need to know the adjacent side and the hypotenuse. Here, the reference angle would be the person holding the kite. The distance from the person to the barn is the adjacent side, which is 18. The string of the kite, I assume, would be 25.
cos(∅) =
cos(∅) = 0.72
cos⁻¹(0.72) = 43.94
I don't know if that's what you're looking for, but... If it's not correct, lmk so I can rewrite it. :)
Hello :
<span>(4y-3)²=72
4y-3 = </span>√72 or 4y-3 = - √72
y= (3+√72) /4 or y= (3 - √72) /4