Answer:
Step-by-step explanation:
For each game played the chance of winning is 0.05 and losing is 0.95.
If the student wins, they get $5 -$1 = $4, but they lose $1.
<u>Expected value is:</u>
It means you will make $0.75 per average game.
Answer:
30.7 km
Step-by-step explanation:
The distance between the two fires can be found using the Law of Cosines. For ΔABC in which sides 'a' and 'b' are given, along with angle C, the third side is ...
c = √(a² +b² -2ab·cos(C))
The angle measured between the two fires is ...
180° -(69° -35°) = 146°
and the distance is ...
c = √(11² +21² -2(11)(21)cos(146°)) ≈ √945.015
c ≈ 30.74
The straight-line distance between the two fires is about 30.7 km.
Answer:
Answer is D.
30
Step-by-step explanation:
all angles add up to 180(applys to triangles)
Answer:
A. Reflection
B. Rotation and Translation
C. Translation
Step-by-step explanation:
We are given the figures transformed to different figures.
According to the options,
A. We see that,
Triangle ABC is reflected about the line y=x to obtain the triangle A'B'C'.
B. In the second figure, we get,
Triangle RST is rotated clock-wise around the point T and then translated 2 units to the right to obtain R'S'T'.
C. We have,
Triangle EFD is translated 3 units downwards followed by translation of 2 units to the right to get E'F'D'.
(1,3) and (7,3) falls on the same horizontal line. hence, the distance is just equal to 6 units. (7,3) and (7,7) meanwhile lie on the same vertical line. hence the distance is 4. (7,7) and (4,7) lie on the same horizontal line with a distance of 3.
Finally, to get back to point (1,3) - (4,7) ----> (1,3), 3 to the left and 4 down, the diagonal being 5.
6+4+3+5= 10 + 8 = 18.
