Answer:
The rectangle is 3.2 cm by 12.6 cm
Step-by-step explanation:
See attached image for a diagram.
Choose <em>w</em> to represent the width because the length is described by referring to the width: it's 3 more than (add 3) triple (multiplied by 3) the width.
Length = 3w + 3
The diagonal forms two right triangles, each with leg = <em>w</em>, other leg = 3<em>w</em> + 3, hypotenuse = 13.
The Pythagorean Theorem says
so

Now solve using the Quadratic Formula with
.

The negative root makes no sense as a distance, so the width of the rectangle is 3.2 cm. The length is 3(3.2) + 3 = 12.6 cm.
Answer:
Step-by-step explanation:
1. 5x-2=3x+4
+2 +2
2. 5x=3x+6
-3x -3x
3. 2x=6
/2 /2
x=3
Answer:
14.13
Step-by-step explanation:
use the radius, 3 squared
so 3 x 3 = 9
9 x 3.14 = 28.26
28.26 / 2 ( because it is a semicircle) = 14.13
His hand slipped and she could not hold on any longer. He reached out to stop her from falling but all he caught was a single hair. She fell into the abyss and disappeared out of sight. He stared into the emptiness that had stolen his love away from him and began to cry. She was gone. He heard a faint whisper in the background that would haunt him for ever more 'Andrew, what did you do wrong?'
Sorry, I like creative writing.
Answer:
-4 + 5 + 1 is your answer I am the teacher of your Colony