The value of f[ -4 ] and g°f[-2] are and 13 respectively.
Given the function;
For f[ -4 ], we substitute -4 for every variable x in the function.
For g°f[-2]
g°f[-2] is expressed as g(f(-2))
Therefore, the value of f[ -4 ] and g°f[-2] are and 13 respectively.
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Answer:
<u>18 waves</u> hit the beach in 49 s.
Step-by-step explanation:
Given:
The frequency of the waves that were coming into the beach is 0.367347 Hz.
Now, to find the number of waves that hit the beach in 49 s.
Let the number of waves be
The frequency of waves () = 0.367347 Hz.
The time it takes to hit the beach () = 49 s.
Now, we put formula to get the number of waves:
<u><em>The number of waves = 18.</em></u>
Therefore, 18 waves hit the beach in 49 s.
Answer:
The following measurements are:
(Option #4)
(Option #7)
(Option #5)
(Option #2)
Step-by-step explanation:
To begin, we can find the measure of by applying the inscribed angle theorem: an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
Since the intercepted arc (RS) is 46 degrees, we have:
Next, we can find the measure of arc QT using the same theorem. So,
Notice that the chord RT is actually a diameter. From the theorem about the inscribed angle including a diameter, we know that the intercepted arc will have a measure of . Since the arc ST is part of the arc RST, and we know RS is
, we can set up and solve this equation:
We can use the same idea to find RQ. We know that RQT is and QT is
, so: