<span>Find the exact value of sec(-4π/3). Note that one full rotation, clockwise, would be -2pi. We have to determine the Quadrant in which this angle -4pi/3 lies. Think of this as 4(-pi/3), or 4(-60 degrees). Starting at the positive x-axis and rotating clockwise, we reach -60, -120, -180 and -240 degrees. This is in Q III. The ray representing -240 has adj side = -1 and opp side = to sqrt(3).
Using the Pyth. Theorem to find the length of the hypo, we get hyp = 2.
Thus, the secant of this angle in QIII is hyp / adj, or 2 / sqrt(3) (answer). This could also be written as (2/3)sqrt(3).
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The answer is 72.8. in order to solve this problem, you need to use the pythagorean theorem. the equation is c^2-b^2=a^2.
75^2-18^2=a^2
75 squared minutes 18 squared is 5301. then you need to find the square root of 5301.
the square root of 5301 is 72.8079666, rounding to 72.8.
STEP
1
:
Pulling out like terms
Pull out like factors :
32 - 2x = -2 • (x - 16)
STEP
2
:
Equations which are never true:
2.1 Solve : -2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : x-16 = 0
Add 16 to both sides of the equation :
x = 16
Answer:
D) y= -1/2x+9
Step-by-step explanation:
if u substitute y with 8 u will get 2
if u substitute y with 5 u will get 8
Constantinople has a total of 14 letters of which 9 are consonants
P(picking a consonant) = 9/14
P(2 letters are consonants with replacement) = 9/14 * 9/14 = 81/196
