The answer is 5400.000. Hope this helps.
To solve this problem you must apply the proccedure shown below:
1. You have that:
<span> - The scale model is 11 inches long and 8.5 inches wide.
- The door to her room takes up 1.75 inches.
- The longest wall in Jessica’s actual room is 15 feet long.
2. Therefore, the actual size of the door is:
15 feet=180 inches
1.75 inches(180 inches/11 inches)=28.63 inches
3. If the door in completely open, you must apply the formula for calculate the area of a semicircle:
A=</span>πr²/2
r=28.63 inches
A=π(28.63 inches)²/2
A=1288.11 inches²
The answer is: 1288.11 inches²
Let 
denote the <em>k</em>th term of the sequence. Then
where <em>d</em> is the common difference between consecutive terms in the sequence and <em>a</em>₁ is the first term.
The sum of the first <em>n</em> terms is
From the formula for , we get
So we have 
, and 
so that 
.
Then the <em>n</em>th term in the sequence is
Answer:
second picture
Step-by-step explanation:
The rule to rotate a point counterclockwise about the origin is:
Or in words, we switch the coordinates of the point and change the sign of the y-coordinate.
We know from the first picture that the coordinates of our quadrilateral ABCD are A = (-1, 0), B = (0, -1), C = (-2, -3), and D = (-3 , -2), so let's apply the rotation rule to each one of those points:
Now we know that the coordinates of the quadrilateral after a rotation of 90° are A' = (0, 1), B' = (1, 0), C' = (3, -2), and D' = (2, -3), which corresponds to the second picture
