Answer:
17.7 cm^2
Step-by-step explanation:
Use trig to find the height of the triangle. Then the area is bh/2.
Extend side BC to the right until it is vertically below point A. Draw a segment from point A vertically down until it intersects the extension of side BC. Call the point of intersection D. <D is a right angle.
Use triangle ABD to find the height, AD, of triangle ABC.
For <B of 37 deg, AD is the opposite leg. AB is the hypotenuse. The trig ratio that relates the opposite lefg to the hypotenuse is the sine.
sin B = opp/hyp
sin 37 deg = AD/13.1
AD = 13.1 * sin 37 deg
AD = 7.9
AD is the height of triangle ABC. BC is the base. We can find the area of triangle ABC.
area = bh/2
area = (4.5 cm)(7.9 cm)/2
area = 17.7 cm^2
Number of registrations a website received during July = 2500
Number of registrations a website received during August = 2245
Number by which the registrations decreased :


Thus, the registrations decreased by 255.
Let x be the perrcentage of decrease.
Which means :







▪︎Thus, the percentage of decrease in the number of registered members = 10.2%
Point D will pass from (1,-2) to (-1,2)
The second choice is the correct one.