Answer:
1/6
Step-by-step explanation:
There are 6 sides to a die, and 6 occupies one side, so the probability of rolling a 6 is 1/6.
-1 is the answer to your question
Answer:
k = 3
Step-by-step explanation:
If the line passing through the points A (-1,3k) and B (k , 3) is parallel to the line whose equation is 2y+3x=9, then their slopes are equal
For coordinate AB;
slope m1 = 3 - 3k/k-(-1)
m1 = 3-3k/k+1
For the line 2y+3x = 9
2y = -3x + 9
y = -3/2 x + 9/2
Slope m2 = -3/2
Since m1 = m2
3-3k/k+1 = -3/2
Cross multiply
2(3-3k) = -3(k+1)
Expand
6 - 6k = -3k - 3
-6k+3k = -3 - 6
-3k = -9
k = -9/-3
k = 3
Hence the value of k is 3
Answer:
x = 14
Step-by-step explanation.
First I would use sine to find x's value. So ----> sin(30) = 7/x ----> x sin(30) = 7 ----> x = 7/sin(30) = 14.
You Can also find that x is equal to 14 by applying the 30, 60, 90, triangle rule. Becuase '7' opposes the 30 degree angle it is 1/2 the hypotenuse, if thats the case just multiply the 7 by 2 and you have the hypotenuse length.
