A box is a cuboid with dimensions 28 cm by 15 cm by 20 cm all measured to the nearest centimetre.
Disc cases are cuboids which measure 1.5 cm by 14.2 cm by 19.3 cm all
measured to the nearest millimetre.
Show that 17 disc cases, stacked as shown, will definitely fit in the box.
19.3 cm
ㅋ
20 cm
15 cm
14.2 cm
28 cm
1.5 cm

Step-by-step explanation:

The dimensions of the box as given is

28 by 15 by 20.

Therefore writing the lower bound and the higher bound for the box dimensions respectively are --

Box :

Length (27.5 , 28.5)

Width (14.5 , 15.5)

Height (19.5 , 20.5)

Similarly writing the disc dimensions with their lower and higher bounds respectively as --

Disc :

Length (1.45 , 1.55)

Width (14.25 , 14.35)

Height (19.25, 19.35)

Therefore, using the lower bounds of the box and the upper bounds of the discs,

14.35 < 14.5

19.35 < 19.5

So, 17   1.55 =  26.35

And, 26.35 < 27.5

Therefore, 17 discs can definitely fit in the box.

goog may have it for you

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq