Answer:
One
Step-by-step explanation:
14/sin(54) = 7/sinC
sinC = 0.4045084972
C = 23.86, 156.14
Since 156.14+54 = 210.14 > 180
Only one triangle can be formed with angle 23.86° at C
Answer:
0.6836
Step-by-step explanation:
(weight - mean weight) = 48
Variance, s² = 204,304
Sample size, n = 89
We need to obtain the Zscore :
Zscore = (X - mean) / standard Error
Zscore = (weight - mean weight ) / (s/√n)
s = √204304 = 452
The difference from the meanncoukdnbe either to the right or left :
Zscore = - 48 / (452/√89) OR 48 / (452/√89)
Zscore = - 48 / 47.911904 OR - 48 / 47.911904
Zscore = - 1.002 or 1.002
P(Z < - 1.002) = 0.1582 (using Z table)
P(Z < 1.002) = 0.8418
P(Z < 1.002) - P(Z < - 1.002)
0.8418 - 0.1582
= 0.6836
The vertex of the graph of f(x)= |x-3|+6 is located at (3, 6)
<h3>How to determine the vertex?</h3>
The equation of the function is given as:
f(x) = |x - 3| + 6
The above function is an absolute value function.
An absolute value function is represented as:
f(x) = a|x - h| + k
Where:
Vertex = (h, k)
By comparison, we have:
Vertex = (3, 6)
Hence, the vertex of the graph of f(x)= |x-3|+6 is located at (3, 6)
Read more about vertex at:
brainly.com/question/16799565
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From the equation of motion, we know,
Where s= displacement
u= initial velocity
a= gravitational force
t= time
Displacement is 0 since the ball comes back to the same point from where it was thrown.
A = 
since the ball is thrown upwards.
Plug the known values into the equation.
=> 
Solving for u gives :
u= 16.67 m/ sec ....... equation (1)
At maximum height, final velocity i.e v is 0
Time take to reach the top = 
=> 
Solving for s we get
s= 14.16 m
