The masses to the nearest 0.5 kg of two parcels are 1.5 kg and 2.5 kg .calculate the lower and upper bounds of their combined mass.

(3.5, 4.5)

Step-by-step explanation:

The masses have a total margin of 0.5 kg, or ±0.25 kg.

The mass of the first parcel is 1.5 kg ± 0.25 kg.

The mass of the second parcel is 2.5 kg ± 0.25 kg.

The combined mass is:

(1.5 kg + 2.5 kg) ± (0.25 kg + 0.25 kg)

4 kg ± 0.5 kg

So the lower bound is 3.5 kg and the upper bound is 4.5 kg.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.