Answer:
The answer to your question is x = 14.7
Step-by-step explanation:
Data
∠A = 20°
∠B = 46
a = 7
b = x
Process
To solve this problem use, the law of sines. This law states that the ratio of a side of a triangle to the sine of the opposite angle is the same for all three sides.
The law of sines for this problem is
x / sin 46 = 7 / sin 20
-Solve for x
x = 7 sin 46 / sin 20
-Simplification
x = 7 (0.719) / 0.342
x = 5.035/0.342
-Result
x = 14.7
Answer: (D) 16%
Step-by-step explanation:
Binomial probability formula :-
, where n is the sample size , p is population proportion and P(x) is the probability of getting success in x trial.
Given : The proportion of students in College are near-sighted : p= 0.28
Sample size : n= 20
Then, the the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is given by :_

Hence, the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is closest to 16%.
The whole number of minutes that Gianna complete each week as a function of x and y:

Since the above number is greater than 450 minutes, we get the inequality:

Also, "she can complete at most 10 workouts this week" so we deduce the inequality:

Therefore, the system of inequalities is the following:


The above system has many solutions, for example :
Answer:
B
Step-by-step explanation:
For it to be parallel, the lines must have the same slope. So A and C are out. Basic math reveals that if you plug in (1, 8) for <em>(x, y)</em> you find B to be true.