Answer:
The playground is 160ft by 360ft.
The model is 4in by 9in
First, 1ft = 12 inches.
Then the measures of the playground, in inches, is:
160*12in = 1920 in
360*12in = 4320in
The playground is 1920in by 4320in.
Then, the ratios between the measures of the playground and the model are:
1920in/4in = 480
4320in/9in = 480
This means that each inch in the model, represents 480 inches in the actual playground.
Answer:
16 square units
Step-by-step explanation:
→ Find the area of the whole triangle
0.5 × ( 5 + 4 ) × 8 = 36
→ Find the area of the small triangle
0.5 × 5 × 8 = 20
→ Minus the area's of the triangles
36 - 20 = 16 square units
Try this solution:
Step-by-step explanation:
1) for zeros of the function: x²-6x-7=0; ⇒ x₁=7; x₂= -1.
2) for the vertex of the function: x₀= -b/2a, where a;b;c - numbers from ax²+bx+c=0 (from x²-6x-7=0).
x₀=6/2=3;
y₀= (4ac-b²)/4a; ⇒ y₀= -16.
It means, the coordinates of the vertex are (3;-16).
No solutions. It would be: 9x-12=9x+12. The difference is that one of the 12’s is negative and one is positive. Hope this helps! Have a great day :)
Answer:
Decrease of 63.5%.
Step-by-step explanation:
Exponential function:
An exponential function has the following format:

In which y(0) is the initial value and r is the rate of change, as a decimal. If r is positive, it is a increase. If it is negative, it is a decrease.
In this question:
We have that:

So


So a decrease of 63.5%.