Answer: B
Explanation: ONE triangle can be formed.
According to the triangle inequality theorem, the sum of any two sides must be greater or equal than the length of the third side.
Here, the sides are 1 m, 2 m, and 2m. 1m + 2m = 3m > 2m (theorem followed) 2m + 2m = 4m > 1m (theorem followed)
Since, the triangle inequality theorem is followed, Hence, ONE triangle can be formed.
Answer: Pressure(t) = 5mP*sin(191.08*t)
Step-by-step explanation:
The information we have:
Maximum pressure P = 5 mP
frequency = 1200Hz
Period = 1/frequency = (1/1200) seconds
when t = 0, P = 0, so we should use a sin function (because sin(0) = 0)
Then we can write this as:
Pressure(t) = P*sin(c*t)
where t is time in secnds, P is the maximum pressure 5mP, and c is a constant that depends on the period.
Pressure(t) = 5*sin(c*t)
knowing that the period is 1/1200 seconds, we have that:
c*1/1200 s = 2*3.14
c = 1200/(2*3.14) 1/s= 600/3.14 1/s
Our function is
Pressure(t) = 5mP*sin(191.08*t)
Answer:
Step-by-step explanation:
First, deal with the product of the two powers of 2 inside the parentheses.
The two factors are powers of 2, so add the exponents.
You need a common denominator, 4, to add the fractions.
Now you have an exponent raised to an exponent. Multiply the exponents and reduce the fraction.
When a fraction is an exponent, the numerator is an exponent and the denominator is the index of the root. A denominator of 2 means a root index of 2 which means square root.
Answer:
4.1 sec
Step-by-step explanation:
-9.8t^2 +38.2t + 6.5 = 0
t = 
= 
= 
= 
= 
= 4.1
