Answer:
CotR = -√3
Step-by-step explanation:
In the 4th quadrant, sin is negative;
Since Cos R = √3/2,
Adjacent = √3
Hypotenuse = 2
Get the opposite;
opp^2 = 2^2 -(√3)^2
opp^2 = 4 - 3
opp^2 = 1
Opp = 1
Get sinR
Sin R = opp/hyp
SinR= -1/2
CotR = cosR/sinR
CostR = (√3/2)/(-1/2)
CotR = √3/2* -2/1
CotR = -√3
Answer: 28.75° and 61.25°
Step-by-step explanation:
A complementary angle equals 90°.
Let the measure of the angle be a
Therefore, its complement will be:
= 90-a.
The complement of an angle is 25 less than 3 times the angles itself can be written as:
90-a = 3a - 25
90 + 25 = 3a + a
115 = 4a
a = 115/4
a= 28.75
Since the angle is 28.75°, the complement will be:
= 90° - 28.75°
= 61.25°
The angles are 28.75° and 61.25°
The greatest common factor (gcf) is 6.
Answer:
12
Step-by-step explanation:
Given:
On every 3 DVDs she rents, 1 DVD is received for free
Rent of each DVD = $3
Total amount paid = $114
Now,
The total number of DVDs she took on rent = 
or
The total number of DVDs she took on rent = 
or
The total number of DVDs she took on rent = 38
also,
For every 3 DVDs she gets 1 Free DVD
thus,
For every 1 DVD she gets 
free DVD
therefore,
For 38 DVD she gets 
free DVD
or
she gets 12.67 DVDs free
Since,
the DVDs cannot be given in fraction
Hence she will get 12 free DVDs
<span>72÷p=8
</span>p = 72÷ 8
p = 9
hope it helps
