The School's maintenance department has 4 painters. If one painter goes to an office to do the painting, it takes her 5 minutes to get set up to paint, followed by 10 minutes to paint each wall (45 minutes total to paint all 4 walls). Due to the disruption caused by a painter, each office must be vacated for the full time it is being painted (but no other office need be vacated). If all 4 employees go, then it takes each employee the same 5 minute setup but the 4 walls then take only another 10 minutes to be painted simultaneously (the office must be vacated for only 15 minutes). The School has two objectives: it wants to vacate each person's office for the shortest time possible, but it must get at least 4 offices painted per hour on average. What should the batch size be for the walls in an office?

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.

answer: b) the us is the leading importer but not the leading exporter.

extra info:

the u.s is the largest importer but it is not the largest exporter as china sits on the top of the table when it comes to leading exporters.

but u.s is not far from first,

they rank in 2nd globally as the worlds largest exporter.

happy to

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answer; career pathways;