Answer: width = 2.4 in, length = 5
<u>Step-by-step explanation:</u>
The max area of a right triangle is half the area of the original triangle.
Area of the triangle = (6 x 8)/2 = 24
--> area of rectangle = 24 ÷ 2 = 12
Next, let's find the dimensions.
The length is adjacent to the hypotenuse. Since we know the area is half, we should also know that the length will be half of the hypotenuse.
length = 10 ÷ 2 = 5
Use the area formula to find the width:
A = length x width
12 = 5 w
12/5 = w
2.4 = w
M is the slope, x0 and y0 is any point along the line.
9514 1404 393
Answer:
2/3
Step-by-step explanation:
You can see from the diagram that the shaded 1/4 of the second rectangle has the same dimensions as 2 of the 3 shaded parts of the first rectangle.
2/3 of 3/8 is in 1/4
Answer:
0.125 seconds.
Step-by-step explanation:
We have been given that the height of a ball above the ground as a function of time is given by the function
, where h is the height of the ball in feet and t is the time in seconds.
We can see that our given equation is a downward opening parabola as its leading coefficient is negative. The maximum point will be vertex of parabola.
To find the time, when the ball would be at its maximum height, we need to find the x-coordinate of vertex.
Using formula
, we will find the x-coordinate of vertex of parabola as:





Therefore, the ball will be at a maximum height after 0.125 seconds.
Answer:
large
Step-by-step explanation: