Students, Mark and Sarah, are discussing expectations of warehouses today. Mark says that warehouses are expected to execute more transactions in less time. Sarah says that warehouses are expected to handle and store more items. Which student, Mark or Sarah, is correct? A. Mark is correct
B. Sarah is correct
C. Both is correct
D. Neither is correct

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

credit history is used by lenders to determine whether you are a 'risky' person to give their money to.

having a short history provide very little data for the lenders. they wouldn't be able to determine your credit behavior from such a small samples. even if they are perfect.

having long credit history with few blemishes provide larger and more accurate data for the lenders to predict your credit behavior.