Answer: OPTION A.
Step-by-step explanation:
Given the following function:
You know that it represents the the height of the ball (in meters) when it is a distance "x" meters away from Rowan.
Since it is a Quadratic function its graph is parabola.
So, the maximum point of the graph modeling the height of the ball is the Vertex of the parabola.
You can find the x-coordinate of the Vertex with this formula:
In this case:
Then, substituting values, you get:
Finally, substitute the value of "x" into the function in order to get the y-coordinate of the Vertex:
Therefore, you can conclude that:
<em> The maximum height of the ball is 0.75 of a meter, which occurs when it is approximately 1 meter away from Rowan.</em>
Answer:
480,247
Step-by-step explanation:
0.081 x = 38,900, so x (# sold to date) = 480,247 (rounded)
Answer:
12
Step-by-step explanation:
5x + 7x + 3x = 180°
15x = 180°
x = 180°÷15
x = 12
Answer:
Part A - Angle d is 29º
Part B - Angle e is 61º
Part C - Angle f is 95º
Part D - the box represents a 90º angle
Step-by-step explanation:
Angle d is 29º because of the vertical angles theorem
Angle e is 61º because if you take into account that it tells you one of the angles is 90º, you'll add d, which is 29º, to that in order to get 119. Then you'll subtract 119 from 180, as all the angles in a triangle must have a sum of 180º degrees. The result should be 61º
Although it looks rather acute, f should be 95 degrees because it's a supplementary angle with 85º, meaning you subtract 85 from 180
The box in the triangle is just a symbol indicating a 90º angle
Do a proportion
First change 1/5 into a whole number first.Which is 1/5 times 60=12
Now do a proportion
14/12=x/60
12x=840
x=70
Simone can peel 70 potatoes in a hour.
