Answer:
First option: cos(θ + φ) = -117/125
Step-by-step explanation:
Recall that cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)
If sin(θ) = -3/5 in Quadrant III, then cos(θ) = -4/5.
Since tan(φ) = sin(φ)/cos(φ), then sin(φ) = -7/25 and cos(φ) = 24/25 in Quadrant II.
Therefore:
cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)
cos(θ + φ) = (-4/5)(24/25) - (-3/5)(-7/25)
cos(θ + φ) = (-96/125) - (21/125)
cos(θ + φ) = -96/125 - 21/125
cos(θ + φ) = -117/125
Answer:
Part A
Which is the ordered pair for Point B?
A. (2, 8)
B. (6, 8)
C. (6, 6)
D. (8, 6)
Part B
Which point is at (8, 2)?
A. A
B. B
C. C
D. None of these
Part C
What are the coordinates of point A?
Enter your answer in the boxes.
(
2
,
8
)
Part D
What are the coordinates of the fourth vertex of the rectangle?
Enter your answer in the boxes.
(
0
,
0
)Step-by-step explanation:
Answer:
Given: DB = 7.2 cm, AE = 1.8 cm and EC = 5.4 cm and DE || BC.
DB
AD
=
AC
AE
[by basic proportionality theorem which states that if a line is drawn parallel to one side of a triangle the other two sides in distinct points, then the other two sides are divided in the same.
7.2
AD
=
5.4
1.8
AD=
5.4
7.2×1.8
AD=
10
24
⟹AD=2.4cm
There are a couple of answers, it could be 2+10 or 3+9
Answer:
Step-by-step explanation:
it becomes lighter :P or maybe you could say "bouncier" :P
