We have that
csc ∅=13/12
sec ∅=-13/5
cot ∅=-5/12
we know that
csc ∅=1/sin ∅
sin ∅=1/ csc ∅------> sin ∅=12/13
sec ∅=-13/5
sec ∅=1/cos ∅
cos ∅=1/sec ∅------> cos ∅=-5/13
sin ∅ is positive and cos ∅ is negative
so
∅ belong to the II quadrant
therefore
<span>the coordinates of point (x,y) on the terminal ray of angle theta are
</span>x=-5
y=12
the answer ispoint (-5,12)
see the attached figure
Angle PQR=90 degrees.
cos 52=PQ/14.72
PQ=14.72 x (cos 52)
PQ= 9 cm to the nearest cm
The vector v is given by:
v = (7, 2) - (-5, 0)
v = ((7 - (- 5)), (2-0))
v = ((7 + 5), 2)
v = (12, 2)
Then, the angle is given by:
tan (theta) = 2/12
theta = atan (2/12)
theta = 9.46 degrees
Answer:
The direction angle of vector to the nearest tenth of a degree is:
theta = 9.5 degrees
Answer:
2/11
Step-by-step explanation:
Probability is the LIKELIHOOD of an event.
According to the word problem, there are 11 people in total and 2 of them are being selected.
The probability of them being the 2 oldest people is 2 in 11, or 2/11.
The velocity of the particle is given by

Since
and
, we get


Similarly, the position function is obtained via

We know
and we're told that
, so


making the answer A.