Answer:
A = 32°, a = 19, b = 14, B=22.98°, C = 125.02°, c = 29.36
Step-by-step explanation:
We have two sides of the triangle and we have an angle.
A = 32 °, a = 19, b = 14
We use the sine theorem to find the angle B.
We know that according to the sine theorem it is true that:
We know that the sum of the internal angles of a triangle is always equal to 180.
So:
Finally we find the c side
Answer:
And we can find this probability with the normal standard distribution and we got:
Step-by-step explanation:
Let X the random variable that represent the variable of a population, and for this case we know the distribution for X is given by:
Where 
and 
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
Using this formula we got:
And we can find this probability with the normal standard distribution and we got:
Answer:
A. (4, 18)
Step-by-step explanation:
The "y" coordinate of the midpoint will be equal to the average of the y coordinates of the endpoints, and the x coordinate of the midpoint will be equal to the average of the x coordinates of the endpoints, and so we get that...
The x coordinate of the midpoint = (5 + 3) / 2 = 8 / 2 = 4
The y coordinate of the midpoint = (21 + 15) / 2 = 36 / 2 = 18
So the right answer is A (4, 18)
Answer:
Step-by-step explanation:
The answer is C.
That's another way of using the vertical line test. Put a ruler perpendicular to the x axis and going through a point. If the ruler hits only one point, then then if all the points plotted do the same thing, then the points make a function.
C says the same thing. Only 1 element in the domain (x) can be associated with 1 y value (the range). If there is more than 1 y value, then you do not have a function.
Answer:
The answer is 115.
Step-by-step explanation:
6+4 equals 10, so $11.50 x 10 equals $115.
