A hexagon is an 6 sided shape. It has 6 angles therefore. here is a picture of a hexagon:
Answer:
98cm
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
-2x+4=6x-12 Add 2x to both sides.
<u>+2x +2x</u>
4=8x-12 Add 12 to both sides.
<u>+12 +12</u>
16=8x Divide by 8 on both sides.
<u>/8 /8</u>
2=x
Hope this helps you out and have a great day (～^▽^)～
The equation of the sinusoidal function is y = -2sin(x + 1.5) - 3
<h3>The sinusoidal function</h3>
The minimum and the maximum of the function are
The amplitude (A) is calculated as:
A = 0.5 * (Maximum - Minimum)
So, we have:
A = 0.5 * (-5 + 1)
A = -2
The vertical shift (d) is calculated as:
d = 0.5 * (Maximum + Minimum)
So, we have:
d = 0.5 * (-5 - 1)
d = -3
The period (P) is calculated as:
P = 2π/B
From the graph,
B = 1
So, we have:
P = 2π/1
P = 2π
So, the amplitude is -2 and the period is 2π.
<h3>The equation of the sine function</h3>
In (a), we have:
A = -2
B = 1
d = -3
A sine function is represented as:
y = A sin(Bx + C) + D
So, we have:
y = -2sin(x + C) - 3
The graph passes through the point (0, -5)
So, we have
-5 = -2sin(0 + C) - 3
Solve for C, we have
C = 1.5
So, we have:
y = -2sin(x + 1.5) - 3
Hence, the equation of the sinusoidal function is y = -2sin(x + 1.5) - 3
Read more about sinusoidal function at
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Tossing a coin is a binomial experiment.
Now lets say there are 'n' repeated trials to get heads. Each of the trials can result in either a head or a tail.
All of these trials are independent since the result of one trial does not affect the result of the next trial.
Now, for 'n' repeated trials the total number of successes is given by
where 'r' denotes the number of successful results.
In our case 
and 
,
Substituting the values we get,
Therefore, there are 1352078 ways to get heads if a person tosses a coin 23 times.
