Asystem of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped. which constraint couldbe part of the scenario? a)the pool is 1 meter deep. b)the pool is 2 meters deep. c)the toy falls at a rate of at least a 1/2meter per second. d)the toy sinks at a rate of no more than a1/2 meter per second

Option A. is the constraint.

Step-by-step explanation:

The given question is incomplete without any attachment; here is the attachment with the answer.

From the given figure,

First inequality is y ≥ (-1)

[Bold red line with shaded area in red color]

Since blue line is dotted and passes through origin (0, 0) and (-2, 1) so the equation of the line will be y = mx

where m = slope of the line

Since m =

             =

Inequality showing the shaded area will be

Solution of the set of inequalities is (2, -1)

Since pool is 1 meter deep and beyond this order pair the graph will be not continuous, so the constraint is A). The pool is 1 meter deep.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

answer:

your answer is: c. 196 7/8 in^3.