Need help with these (Trig)
1 answer:
Answer:
The answer to your question is below
Step-by-step explanation:
Question 1.
We have the opposite side and the adjacent side so use the tangent to find x.
tan Ф =
Substitution
tan Ф =
Ф = 30.96° = x
Question 2.
Letter A is the correct answer
Letter B is incorrect because the cylinder does not have a height of 15 mm
Letter C is incorrect because of the radius of the sphere is not 6 mm
Letter D is incorrect because the radius of the sphere is not 6 mm and the height of the cylinder is not 15 mm.
Question 3.
To solve this exercise we use the trigonometric function tangent
tan Ф =
Solve for opposite site
Opposite side = Adjacent side tanФ
Opposite side = 30 tan 80
d = 170.14 ft
Question 4
To find the sine, first we must calculate the opposite side
c² = a² + b²
a² = c² - b²
a² = 4² - 3²
a² = 16 - 9
a² = 7
a =
sin A =
sin A = 0.6614
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Answer:
Direction parabola opens upward.
Vertex of parabola is (27,-9).
Axis of symmetry is .
Step-by-step explanation:
Note: Option sets are not correct.
The vertex form of a parabola is
...(1)
where, (h,k) is vertex and x=h is the axis of symmetry.
If a<0, then parabola opens downward and if a>0, then parabola opens upward.
The given function is
...(2)
On comparing (1) and (2), we get
, so direction parabola opens upward.
, so vertex of parabola is (27,-9).
So, axis of symmetry is .