Two quantities, x and y, are directly proportional. if x is halved what happens to y
1 answer:
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Answer:
The angle is in the second quadrant.
Step-by-step explanation:
The cosecant of an angle is the same as the reciprocal of the sine of that angle. In other words, as long as ,
.
Therefore, is equivalent to
.
Consider a unit circle centered at the origin. If the terminal side of angle intersects the unit circle at point
, then
, and
.
For angle ,
, meaning that the intersection is to the left of the
-axis.
, meaning that the intersection is above the
-axis.
In other words, this intersection is above and to the left of the origin. That corresponds to second quadrant of the cartesian plane.
Answer:
() || (
)
Step-by-step explanation:
When two lines are parallel, all four angles formed by the intersection of the two lines are right angles, meaning their angle measures are (90°). This means that alternate interior angles are congruent because all alternate interior angles measures equal (90°). Therefore, by the alternate interior angles converse theorem, lines () and (
) are parallel.
The alternate interior angles converse theorem states if two angles are congruent and they have the relation of being a part of two lines intersected by a third line, then the two non-intersecting lines are parallel.
Answer:
9 feet
Step-by-step explanation:
The height of the ball in feet is given by the polynomial:
where t is the time in seconds.
After 3 seconds, t = 3:
The height of the ball after 3 seconds is 9 feet.