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hjlf
3 years ago
7

Can you please help me out ?

Mathematics
2 answers:
Umnica [9.8K]3 years ago
8 0
For this case it is to use the following trigonometric definition.
 Tan (x) = a / b
 Where,
 a: opposite side of the triangle.
 b: adjacent side of the triangle.
 Substituting:
 Tan (x) = a / b
 Tan (x) = 24/10
 Tan (x) = 12/5
 Answer:
 Tan (x) = 12/5 (option 3)
makkiz [27]3 years ago
4 0
The answer is the second choice

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Part a: Option D 18 feet per second

Part b: increasing

Solution:

Height h(t)=-16 t^{2}+50 t+3

Part a: To find the average rate of change for h(t) between t = 0 and t = 2.

Substitute t = 0 in h(t).

h(0)=-16 (0)^{2}+50 (0)+3

h(0) = 3

Substitute t = 2 in h(t).

h(2)=-16 (2)^{2}+50 (2)+3  

h(2) = 39

Average rate of change formula:

           $=\frac{h(b)-h(a)}{b-a}

Here, a = 0 and b = 2.

           $=\frac{h(2)-h(0)}{2-0}

           $=\frac{39-3}{2}

           $=\frac{36}{2}

           = 18

Average rate of change = 18 feet per second

Option D is the correct answer.

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This means height of the ball is increasing for 0 < x < 2.

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