Answer:
525 feet.
Step-by-step explanation:
Difference in height
= 375 - (-150) Remembering that - * - = + :-
= 375 + 150
= 525 feet.
Csc (3pi/2) = 1/sin(3pi/2)
According to the graph sin(3pi/2) = -1
So,
csc (3pi/2) = 1/(sin(3pi/2) = 1/(-1) = -1
The answer is -1
here two given sides are 10 and 6,
We use the rule of triangle here:
sum of two sides> third side
checking for each option
Option A: AC=4
4+6>10, 10>10 (false)
So AC cannot be equal to 4, option A is answer.
Answer:
Therefore the ball travel 102.92 feet horizontally before hitting the ground
Step-by-step explanation:
Given that, the path of a baseball, hit 3 feet above ground, is modeled by the function
where f(x) represents the vertical height of the ball in feet(Assume) and x is the horizontal distance in feet(Assume) .
When the ball hits the ground, then the vertically distance of the ball will be zero, i.e f(x)=0
[Applying quadratic formula 
, here a = -0.001, b=1 and c=3]
Therefore the ball travel 102.92 feet horizontally before hitting the ground.
If the value of cos(θ) is negative, this angle (θ) can only be in one of two quadrants; the sine quadrant or the tan quadrant. In the sine quadrant, tan(θ) must be negative, but since tan(θ) > 0, we can safely say that the angle (<span>θ) is based in the tan quadrant.
We know that cos(</span><span>θ) = - Adjacent / Hypotenuse, and in this case Adjacent = 2 and Hypotenuse = 5. Using Pythagoras' theorem, we can find the opposite side of the right angled triangle situated in the tan quadrant...
</span>Adjacent² + Opposite² = Hypotenuse²
Therefore:
2² + Opposite² = 5²
Opposite² = 5² - 2²
Opposite² = 21
Opposite = √(21)
------------
Now, sin(θ) must be negative, as the right angled triangle is in the tan quadrant. We also know that sin(<span>θ) = Opposite / Hypotenuse, therefore:
sin(</span><span>θ) = - [</span>√(21)]/[5]
