There's an identity
sec^2 x = 1 + tan^2 x
so here we have
sec^2 theta = 1 + (3/8)^2 = 73/64
sec theta = sqrt 73 / 8 or 1.068 to nearest thousandth
Answer:
y=x
Step-by-step explanation:
Answer:
a. (15, 15)
Step-by-step explanation:
We start with those two equations:
1) a - 1.2b = -3
2) 0.2b + 0.6a = 12
We'll begin by modifying equation #1 to isolate a:
a = -3 + 1.2b
Then we'll use this value for a in the second equation:
0.2b + 0.6 (-3 + 1.2b) = 12
0.2b - 1.8 + 0.72b = 12
0.92b = 13.8
b = 15
Then we'll place that value of b in the first equation to find a:
a - 1.2 (15) = -3
a - 18 = -3
a = 15
Answer:
2/15
Step-by-step explanation:
Given that :
pretzel = 4
Popcorn = 3
Cheddar cracker = 3
Total = 4 + 3 + 3 = 10
Probability = Required outcome / Total possible outcomes
Selecting with replacement :
First selection :
P(pretzel bag) = 4 / 10
Second selection :
P(pretzel bag) = 3 / 9
P(2 pretzel bags) = 4/10 * 3/9 = 12 / 90 = 2/15
Answer:
187
Step-by-step explanation: