It’s going to be the area of the triangle on the side times the length, so 0.5 x 36 x 15 x 48 = 12960
Answer:
Step-by-step explanation:
24x = 3 * 8 * x
3 = 3 * 1
Greatest common factor = 3
24x +3 = 3*8x + 3*1
=3(8x + 1)
Part A) x-intercepts simply show that when the value of the function is zero. Vertex coordinates show that when the function obtains its maximum value. When x=50, function obtains its maximum value and it's 75. The function is increasing in the interval (0, 50) and decreasing in the interval (50, 100). In regard to the height and distance of the tunnel, these numbers show that decreasing and increasing intervals are symmetric. Each number from the intervals has its own pair in the corresponding interval and they are located in the same distance from the midpoint (50,75)
Part B) In order to calculate the average rate of change, we can first write the function. Using the information about the x-intercept and the vertex coordinates, we find that our function is

.
Plugging 15 and 35 in x, we can find the values of the function, i.e.

and

.
Then, the average change is
Answer:
2500 feet
Step-by-step explanation:
4500 minus 2000 = 2500
Given:
Each right triangular tiles has the leg measures of 5.2 cm and 6 cm.
There are 150 tiles in the mosaic.
To find:
The area of the mosaic.
Solution:
We know that, the area of a triangle is:

So, the area of Each right triangular tile is:



There are 150 tiles in the mosaic. So, the area of the mosaic is:


Therefore, the total area of the mosaic is 2340 cm ².