Answer:
The missing height is approximately 78.8011 feet.
Step-by-step explanation:
To solve for the height of the kite, you need to use a trigonometry function called sine. Sine - or sin when used to calculate - is most commonly used for right triangles, and the sine of a right triangle angle is equivalent to the side opposite (or the only side of the right triangle that does not help create that angle) of the angle divided by the hypotenuse of the right triangle. So you can now create the following function to solve the height: sin(52°) =
where x represents the unknown height of the kite. From there, you can get that
52°
, which equals approximately 78.8011 feet. Since there isn't a specific decimal place to round to, I rounded the answer to four decimals. If your teacher asks you to round to a specific place value, use 78.8011 to get your simplified answer.
Answer:
i believe it is a dot
Step-by-step explanation:
Answer:
(x - 2)(v + 3)
Step-by-step explanation:
xv + 3x - 2v - 6
= x(v + 3) - 2(v + 3)
Given:
Consider the height of the rocket, in feet after x seconds of launch is

To find:
The time at which the rocket will reach its max, to the nearest 100th of a second.
Solution:
We have,

It is a quadratic polynomial with negative leading coefficient. So, it is a downward parabola.
Vertex of a downward parabola is the point of maxima.
To find the time at which the rocket will reach its max, we need to find the x-coordinate of the vertex.
If a quadratic function is
, then the vertex is

Here,
.
So,



So, x-coordinate of the vertex is 4.75.
Therefore, the rocket will reach its max at 4.75 second.