<h2> <u>Rectangular</u> <u>Areas</u> <u>and</u> <u>Perimeters</u></h2>
The perimeter of a rectangle is given by:

In the problem we have these data:
- Perimeter = 6 + 2 (-2x + 20)
We replace the data in the equation of the perimeter:
<h3>6 + 2 (-2x + 20) = 2 (a - 2x + 20)
</h3>
We apply distributive property:
6 - 4x + 40 = 2a - 4x + 40
6 = 2a
6 ÷ 2 = a
3 = a
⇒ Length = 3
The area of the rectangle is given by:

We have these data:
We replace the data in the equation of the area:
<h3>Area = (3) (- 2x + 20)
</h3>
We apply the distributive property and obtain:
Area = -6x + 60
<u>The expression representing the area of the rectangle will be -6x + 60</u>
<h3>I hope I've helped!</h3>
Answer:
23
Step-by-step explanation:
Suppose,
the first number = x
the second number = x+1
the third number = x+1+1 = x+2
Question wise,
x+x+1+x+2 = 72
3x+3 = 72
3x = 72-3 = 69
x = 69/3 = 23
so the numbers are,
23,(23+1)=24 and (23+2)=25
Scores on an AP Exam at a local high school are recorded in the table. What was the average score?
Answer: D) 4.266 is correct
Explanation:
We are given the below frequency table:
Score Frequency
1 | 0
2 | 3
3 | 4
4 | 16
5 | 22
Let's denote the score by
and frequency by
.
The average formula is:




Therefore, the average score was 4.267
Hence the option D) 4.266
Multiply the height and base of the triangle, then divide by 2. To find the area of the semi-circle, you must do this formula. 3.14 x Diameter × 1/2
Answer : 96 + 25.12 = 121.12cm
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
c=1/4
Decimal Form:
c=0.25