3
The period is the amount it time it takes to make one complete cycle. If we start at 0 for simplicity sake, the graph is at its maximum point. It reaches its maximum point again at 3, this is one complete cycle and thus the period is 3.
I'm confused, the answers are larger than the trail?
Answer:
i cant see
Step-by-step explanation:
Answer:
a. 6, b. 99, c. 63
Step-by-step explanation:
A) The function s(t) is in the vertex form. The standard vertex form is a(x-h)+k where the vertex is (h,k). The vertex is the highest (or lowest in some cases) point of the graph, so if we use s(t) to get the vertex we get that h=6 and k=99. This means that for a student to get a perfect score they need to study 6 hours
B) We can just take the k value from the first question because that's the highest value for s(t), so the highest score will be 99
C) For this one just plug in 0 for time, so -(0-6)^2+99. This equals -(-6)^2+99, which equals 99-36 =63
A) The hypotenuse is the longest side of the triangle .In the figure EG is the hypotenuse.The given angle is <G=40 degrees.The side adjacent is FG= 10 units.
The question is asking us to find the trigonometry ratio which will help us find EG.We can use cos as cos is ratio of adjacent and hypotenuse.

B) Cos 40 =0.766.
Substituting tan40 value we have:

EG=13.05.
C)Sum of angles in triangle is 180.
<E+<F+<G=180
<E+90+40=180
<E+130=180
<E=50 degrees.
D) 
EF=8.39
E) Area of triangle EFG= 
A rea of the triangle = 
Area= 54.75 square units.