Solve for the variable. *show your work*​

Step-by-step explanation: Notice that we have a 30° angle and we're given that the side opposite the 30° angle has a length of h and the side adjacent to the 30° angle has a length of 18.

Remember than so we can setup the equation tan 30° = h/18.

Solving for h, we multiply both sides of the

equation by 18 and we have (18)(tan 30°) = h.

From here, we enter this into our calculator to get 10.3923 or 10.4.

Instead of using trigonometry here, we could have also noticed that this is a special right triangle, a 30° - 60° - 90° triangle, which means that the long leg is √3 times the length of the short leg, so we could have setup an equation to find the value of h. Either way should be acceptable.

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation: