Answer:
$6 each
Step-by-step explanation:
the first 10 multiples of 3 are 3,6,9,12,15,18,21,24,27,30
3×2=6
6+6=12
<u>Define x:</u>
Let x be the width of the border
Length of the rug = 15 -2x
Width of the rug = 12 -2x
Area of the rug = (15 - 2x)(12 - 2x)
<u>Construct equation:
</u>
Given that the area of the rug os 108 ft²
(15 - 2x)(12 - 2x) = 108
Apply distributive property:
180 - 20x - 24x + 4x² = 108
Collect all terms on the left hand side:
4x² - 44x + 72 = 0
Factorise:
x² - 11x + 18 = 0
<span> (x - 2) (x - 9)
Apply zero product property:
x = 2 or x = 9
<u>Check x:
</u>
When x = 9,
Width = 12 - 9 - 9 = -6
</span>⇒ <span>x = 9 is rejected since width cannot be negative
When x = 2
Length = 15 - 2 - 2 = 11 ft
Width = 12 - 2 - 2 = 8 ft
Answer: The border is 2 feet wide.
</span>
The central angle COA = 2 * angle at the circumference
m < COA = 2 * 80 degrees
Answer:
358
Step-by-step explanation:
Answer:
12 300
Step-by-step explanation:
The way that I would do this, is first doing 7*300. That would result in 2100.
Next would be doing 7*12. Resulting in 84.
Finally you would add 2100 and 84 which is very simple just 2184.
If 300 looks like a tough number to multiply, just do 7*3 then add two 0's to the end.