Answer:
8
Step-by-step explanation:
You use law of sines, and get: AB/sin(53) = 7/sin(44)
You multiply both sides by sin(53), and get:
AB = 7*sin(53)/sin(44)
That means AB is 8.04776679886, which rounds to 8
Answer:
15
Step-by-step explanation:
The difference between consecutive integers is 1.
The difference between consecutive odd integers is 2.
Let the smallest odd integer be x.
Then the next greater one is x + 2. The greatest one is x + 4.
"3 times the first" is 3x
"twice the third" is 2(x + 4)
"3 times the first of three consecutive odd integers is 3 more than twice the third"
3x = 2(x + 4) + 3
3x = 2x + 8 + 3
x = 11
The smallest integer is 11.
x + 4 = 11 + 4 = 15
The greatest one is 15.
<span>In statistics finding percentiles relates to the standard deviation and something called a z-score. For normally distributed data the z-score represents how many standard deviations above or below the mean that group is a part of. The z-score for normally distributed data for the 90th percentile is 1.28. The standard deviation is then multiplied by the z-score to find, in this case, the shotlrtest height needed to be in the 90th percentile of this population. In this case to be in the 90th percentile your height must be 60.27 inches.</span>
Answer:
Step-by-step explanation:
Sum of interior angles of a triangle = Exterior angle
m∠VWX + m∠WVX = Exterior angle = 155°
m∠VWX + 86° = 155°
m∠VWX = 69°
