In astronomy and geography, a direction or plane is said to be horizontal if it is perpendicular to the vertical direction. In mathematics, anything parallel to the horizon is called horizontal. Because vertical is the opposite of horizontal, anything that makes a 90-degree angle (right angle) with the horizontal or the horizon is called vertical. So, the horizontal line is one that runs across from left to right.
Answer:
about 19.6° and 73.2°
Explanation:
The equation for ballistic motion in Cartesian coordinates for some launch angle α can be written ...
y = -4.9(x/s·sec(α))² +x·tan(α)
where s is the launch speed in meters per second.
We want y=2.44 for x=50, so this resolves to a quadratic equation in tan(α):
-13.6111·tan(α)² +50·tan(α) -16.0511 = 0
This has solutions ...
tan(α) = 0.355408 or 3.31806
The corresponding angles are ...
α = 19.5656° or 73.2282°
The elevation angle must lie between 19.6° and 73.2° for the ball to score a goal.
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I find it convenient to use a graphing calculator to find solutions for problems of this sort. In the attachment, we have used x as the angle in degrees, and written the function so that x-intercepts are the solutions.
Answer:
The thyroid gland produces thyroxine (referred to as T4), which is a relatively inactive prohormone. The highly active hormone is triiodothyronine (referred to as T3).
Key actions of adrenaline include increasing the heart rate, increasing blood pressure, expanding the air passages of the lungs, enlarging the pupil in the eye (see photo), redistributing blood to the muscles and altering the body's metabolism, so as to maximise blood glucose levels (primarily for the brain).
The best statements that describe white light as it travels through a prism are:
<span>1. The light slows down.
2. The light bends in the prism.
3. Light reflects off of the surface of the prism.
4. The white light breaks into its component colors.
Hope this helps!</span>