Answer:
a. 53
Step-by-step explanation:
The side with length 15 is opposite the right angle, so it is the hypotenuse of the right triangle.
For angle x, the side measuring 12 is the opposite leg.
Our 3 items of interest are: angle, opposite leg, hypotenuse.
The trig ratio that relates the opposite leg to the hypotenuse is the sine ratio.
sin x = opp/hyp
sin x = 12/15
sin x = 0.8
Now we take the inverse sine of 0.8 to find the measure of the angle.
x = sin^(-1) 0.8 = 53 deg
Using statistical concepts, it is found that the number of outcomes that are possible for the complement of the union of Events J and K is of 43.
<h3>What is the union of events J and K?</h3>
It means that at least one of event J or event K is true, hence, it is composed by employees that are either considered support staff(less than 5 years of experience) or employees that have more than five years of experience, combining a total of 7 + 8 = 15 employees.
<h3>What is the complement?</h3>
The total number of outcomes of the union of J and K, plus the complement, add to the total number of 58, hence:
15 + x = 58
x = 43.
The number of outcomes that are possible for the complement of the union of Events J and K is of 43.
More can be learned about complementary events at brainly.com/question/9752956
Answer:
A B and D
Step-by-step explanation:
Answer:
Factor the numerator and denominator and cancel the common factors.
−1
Answer:
42 square units
Step-by-step explanation:
Hello There!
The area of a trapezoid can be found using this formula
where a and b are bases and h is height
if you look at the graph we can see that the lines are counting by 2 units
knowing this we want to find the dimensions
the shown trapezoid has the following dimensions
a =2*2 or 4
b=5*2 or 10
h=3*2 or 6
having found this information we then plug it into the formula
so we can conclude that the area of the trapezoid is 42 square units
