Answer:
Step-by-step explanation:
- 20 + 2 < x/3 - 8
- 22 + 8 < x /3
- 30 < x /3
- 30*3 < x
- 90 < x
- x > 90
Correct choice is C
Answer:
90 mph
Step-by-step explanation:
Against wind DATA:
distance = 600 miles ; time = 5 hrs. ; rate = 600/5 = 120 mph
With wind DATA:
distance = 600 miles ; time = 2 hrs ; rate = 600/2 = 300 mph
Equations:
p + w = 300
p - w = 120
2p = 420
p = 210 mph (speed of the plane in still air)
Since p+w = 300, w = 300-210 = 90 mph (speed of the wind)
Answer:
- sin = -√3/2
- cos = -1/2
- tan = √3
- sec = -2
- csc = (-2/3)√3
- cot = (√3)/3
Step-by-step explanation:
See the attached picture for a drawing of the angle and its terminal point coordinates. Those are (cos(4π/3), sin(4π/3)), so we have the following trig function values:
sin(4π/3) = -√3/2
cos(4π/3) = -1/2
tan(4π/3) = sin/cos = √3
sec(4π/3) = 1/cos = -2
csc(4π/3) = 1/sin = -(2√3)/3
cot(4π/3) = 1/tan = (√3)/3
_____
<em>Additional comment</em>
It helps to know that 1/√a = (√a)/a. This lets you write the ratios with a rational denominator in each case.
A * b = 30
a - b = 1
a + b = 11
take ur last 2 equations, and add them
a - b = 1
a + b = 11
--------------add
2a = 12
a = 12/2
a = 6
now its just a matter of subbing
a + b = 11
6 + b = 11
b = 11 - 6
b = 5
so a = 6 and b = 5...whose product is 30, whose difference is 1, and whose sum is 11.
