The correct answer is b) 2
x = 6
Explanation:
use the pythagorean theorem which is <u>a^2 + b^2 = c^2</u>. 8 goes in either the a or b position and 10 is the longest side so it will go in the c position.
Heres a trick i learned look at the digit your rounding look to your right is it 5 or higher? yeas add 1 more to the one you are rounding if not then you drop the numbers after the one you are rounding so 8.54 is now just 8.5
Area = 267
perimeter = 72
area- solve for the area of the 18 by 10 section, then the area of the 7 by 21 section. once you have those, determined the size of the shared area between those two and subtract from one of them.
perimeter- just add
B is the correct answer.
We are adding the border of x thickness to all 4 sides of the table. This makes the new width of the table 36+x+x = 36+2x and the new length of the table 72+x+x=72+2x. To find the area, we multiply the length and width:
(36+2x)(72+2x) = 3006
Multiplying the binomials, we get:
36*72 + 36*2x + 2x*72 + 2x*2x = 3006
2592 + 72x + 144x + 4x² = 3006
Combining like terms gets us
2592 + 216x + 4x² = 3006
Subtract 3006 from both sides:
2592 + 216x + 4x² - 3006 = 3006 - 3006
-414 + 216x + 4x² = 0
Writing in standard form we have
4x²+216x-414=0
