Answer:
y=3x-5y
Step-by-step explanation:
Two teacher sponsors. Write a rule for the number of chaperones that must be on the trip. Write ordered pairs to represent the number of chaperones that must attend the trip when there are 120,150,200, and 210 students.
The rule would be:
c = # of chaperones
s = # of students
c = 1/5s + 2
Plug those numbers of students into "s" in the above equation. Your answers will be the second number of the ordered pair.
C= S/5 + 2
C=Chaperones
S=Students
(S,C)
(120,26), (150,32), (200,42), (210,44)
Let , missing value(_)=A
As, it is given that ,
To convert the value of A into Radians,
360°=2 π Radians
So, missing value to the nearest hundredth= 1.26 Radians
If x terminates in the fourth quadrant, then we know that sin(x) < 0 and cos(x) > 0. Given that sec(x) = 8, we immediately have
cos(x) = 1/sec(x) = 1/8
Recall the Pythagorean identity,
cos²(x) + sin²(x) = 1
Then it follows that
sin(x) = -√(1 - cos²(x)) = -3√7/8
Now recall the double angle identities,
sin(2x) = 2 sin(x) cos(x)
cos(2x) = cos²(x) - sin²(x)
Then
sin(2x) = 2 (-3√7/8) (1/8) = -6√7/64 = -3√7/32
cos(2x) = (1/8)² - (-3√7/8)² = -62/64 = -31/32
By definition of tangent,
tan(x) = sin(x)/cos(x)
Then
tan(2x) = sin(2x)/cos(2x) = (=3√7/32) / (-31/32) = 3√7/31
Answer: 52
Step-by-step explanation: Not much work with this one but hope this helps :)