Answer:
It hit the ground at t=2
It reaches its highest point at t=1
Its maximum height =16
Step-by-step explanation:
The graph of the function of the height will be a parapola opening downward where it's x intercepts = the time where the object hit the ground and its maximum point = the point with the maximum point
The x intercepts are 0 when the object was thrown and 2 when it landed
The x coordinate of the vertex is in the middle of the two x intercepts so it will be 1
Substituting the x coordinate of the vertex gives us the y coordinate of the vertex which is the maximum hight 16
Multiply 8 and 30, and you get 240. Caden travels 240 miles in 30 days.
Solve for x given two sides
Solution
x is an angle hence we are gonna use the formula Sin
Sin 0 = opp/hyp
0 represents theta.
Sin 0 = opp/hyp
Sin 0 = 27/33
Put 27/33 in decimal form
= 0.8181
Transpose to make 0 the subject
Sin 0 = 0.8181
0 = Sin-1 0.8181
When adding Sin from one side to another it becomes Sin inverse.
0 = Sin-1 08181
Now we find the answer
0 = Sin-1 0.8181
= 54.89 degrees
Therefore x is equal to 54.9 to the nearest tenth.
The answer is 9/11.
<span>The addition rule is used to calculate the probability of one of the events from multiple pathways. If you want that only one of the events happens, you will use the addition rule. So, we need to calculate the probability of two different events - the one is that the object is green, and the other is that the object is a cube.
</span>1. T<span>he probability that the object is green:
There are 22 objects in total (7 blue cubes + 4 blue spheres + 5 green cubes + 6 green spheres = 22 objects).
There are 11 green objects (</span><span>5 green cubes + 6 green spheres = 11 green objects).
So, there are </span>11 green objects out of 22 objects. Therefore, t<span>he probability that the object is green is 11/22.
</span>2. T<span>he probability that the object is the cube:
There are 22 objects in total (7 blue cubes + 4 blue spheres + 5 green cubes + 6 green spheres = 22 objects).
There are 12 cube objects (7 blue cubes + </span><span>5 green cubes).
So, there are </span>12 cube objects out of 22 objects. Therefore, t<span>he probability that the object is green is 12/22.
Now, using the addition rule, we could calculate </span>the probability that the object <span>is green or a cube:
11/22 + 12/22 = 23/22
But, we counted 5 green cubes in both events and need to subtract them:
23/22 - 5/22 = 18/22 = 9/11
</span>