Divide both sides by 2
a-c=2a
minus a fromboth sides
-c=a
3(8-4x) < 5(x-5)
24-12x < 5x-25
-12x-5x < -25 -24
-17x < -49
x > ⁴⁹/₁₇
Answer:
True
I hope this will Help you
Answer:
A. {60°, 120°, 420°}
B. θ = 15π/4; sec(θ) = √2
Step-by-step explanation:
<h3>A.</h3>
The sine function is periodic with period 360°, and it is symmetrical about the line θ = 90°. The reference angle for the given value of sin(θ) is ...
θ = arcsin(√3/2) = 60°
The next larger angle with the same sine is (2×90°) -60° = 120°. Any multiple of 360° added to either one of these angles will give an angle with the same sine. A possible set of 3 angles is ...
{60°, 120°, 420°}
__
<h3>B.</h3>
One degree is π/180 radians, so the given angle in radians is ...
θ = 675° = 675(π/180) radians = 15π/4 radians
This angle has the same trig function values as 7π4, a 4th-quadrant angle with a reference angle of π/4, or 45° The secant of that angle is
sec(45°) = √2
The 4th-quadrant angle has the same sign, so ...
sec(675°) = sec(15π/4) = √2
Answer:
315
Step-by-step explanation:
75% of 180 is 135,
180 + 135 = 315.
