Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. the equation h = −16t + 160t + 120 models the h height at t seconds of the flare. how long will it take for the flare to hit the ground? (to the nearest tenth of a second)

10.7 sec.

Step-by-step explanation:

When the flare hits the ground, the height of the flare will be equal to 0; that is h = 0.

We substitute h with 0 in the equation and solve for t. This can be done graphically or analytically. Kindly find the attached for the graphical solution.

From the graph, we see that h is 0 when t is 10.7 sec.

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.