Answer:
in mathematics, the sine is a trigonometric function of an angle.
Step-by-step explanation:
The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse).
Fixed point: 0
Critical point: kπ + π/2
Inflection point: kπ hope this helps you :)
Answer:
Step-by-step explanation:
What you have here is the factored form of the quadratic
where a is the term representing the pull of gravity, b is the upwards vertical velocity and c is the initial height. If we FOIL that out, we get the equation in a form that is easily analyzed for velocity and initial height.
This tells us that the initial vertical velocity of the dive was 10 m/sec, and that she was 15 meters up at the time of diving.
Answer:
375/ 1000
Step-by-step explanation:
it is technically correct
Answer: 5 terms.
Step-by-step explanation:
We know that the n-th term of a sequence is:
Aₙ = n² + 20
Where n can be any natural number, then n ∈ {1, 2, 3, ...}
We want to find how many terms are smaller than 50.
Then we could find the first value of n such that Aₙ is equal or larger than 50.
Then we can solve:
Aₙ = n² + 20 = 50
then:
n² = 50 - 20 = 30
n = √30 = 5.48
This is not a natural number, so we need to round to the next one that is n = 6
This means that the first natural number n such that Aₙ is equal or larger than 50 is n = 6, then for the values:
n = 1, 2, 3, 4, 5
Aₙ is smaller than 50
This means that there are 5 terms of the sequence that are smaller than 50.