Answer:
The answer is 9 inches.
Step-by-step explanation:
Given information is :
A room measures 12 feet by 12 feet.
We will convert it into inches.
1 foot = 12 inches
12 feet = inches
A couch is 10 feet and 6 inches long.
10 feet 6 inches can be converted to inches.
1 foot = 12 inches
10 feet = inches + 6 inches
Total couch is = 126 inches
We will find Wall − couch measurement:
inches
So, at one end it will be = inches.
Therefore, 9 inches is the answer.
Answer:
392.5 in²
Step-by-step explanation:
This figure is consists of a trapezium and a rectangle.
So, to find the total area of the figure you have to find the area of the trapezium and the rectangle separately and add them together.
Let us find now.
<u>Area of the Trapezium</u>
Area = × ( sum of the parallel sides ) × height
Area = × ( 9 + 20 ) × 5
Area = × 29 × 5
Area = × 145
Area = 72.5 in²
<u>Area of the rectangle</u>
Area = Length × Width
Area = 20 × 16
Area = 320 in²
<u>Total area of the figure</u>
Total area = Area of the trapezium + Area of the rectangle
Total area = 72.5 in² + 320 in²
Total area = 392.5 in²
Hope this helps you :-)
Let me know if you have any other questions :-)
Answer:
-2n²
Step-by-step explanation:
Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:
To find the value of a we just divide second difference ( -4 ) by 2:
Now we have:
Substitute and
into the equation above:
Since = -2 and
= -8 , after simplification we have:
The solution of this system is:
The general term is :
