A triangle has two sides of length 14.8 and 12.8. What compound inequality describes the possible lengths for the third side, x? Write a compound inequality like 1

2<x<27.6

Step-by-step explanation:

Let the sides of the triangle be x, y and z. For a triangle having the three sides, the following are true:

x+y>z 1

x+z>y2

y+z>x3

Let z= 14.8 and y = 12.8

Substitute the given values into 1

x+12.8>14.8

x > 14.8-12.8

x>2

Or 2<x

Substituting into equation 3;

14.8+12.8>x

27.6>x or x<27.6

Combine both inequalities

2<x and x<27.6

We will have;

2<x<27.6

Hence the compound inequality is 2<x<27.6

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have