As usual, draw a diagram. You can easily see that if you are x away from the wall,
<span>the angle of elevation of the bottom of the screen (A) is </span>
<span>cotA = x/3 </span>
<span>A = arccot(x/3) </span>
<span>angle B to the top is </span>
<span>cotB = x/10 </span>
<span>B = arccot(x/10) </span>
<span>So, since θ = B-A </span>
<span>dθ/dt = dB/dt - dA/dt </span>
<span>= -3/(x^2+9) + 10/(x^2+100) </span>
<span>= 7(x^2-30)/((x^2+9)(x^2+100)) </span>
<span>so, at x=30 </span>
<span>dθ/dt = 203/30300</span>
I believe the correct answers are:
<span>UV = 14 ft and m∠TUV = 45°</span>
<span>ST = 20 ft, UV = 14 ft, and m∠UST = 98°
Or, in other words, Options A and D.
</span>
Total Attendence = Mean Attendence × No. of Incidents
= 24,500 × 25
= 612,500.
Proportional reasoning is a form of mathematical reasoning that involves a sense of co-variation and of multiple comparisons, and the ability to mentally store and process several pieces of information. I hope my answer has come to your help. God bless and have a nice day ahead!
C. The graph
The equation y=8x should have a slope of 8. This means that it should go up 8 spaces, every time it moves over by 1. but if you look at the graph you’ll see the slope is 1/8 because it goes up 1 space after moving over 8. If the graph were correct, the x and y values would be swapped.
