If the area is 12 ft2 , the side is just the square root of this.
So
√12 =
√(4 * 3) =
2√3 = about 3.5 ft. (rounded)
Note that, when we multiply or divide by a negative in an inequality, we must reverse the direction of the inequality sign ......!!!!.......so we have......
5x + 1 < -24 subtract 1 from both sides
5x < -25 divide by 5 on both sides
x < -5
For a percent increase we have.....
[Greater number - Lesser Number] / [Lesser Number]
For a percent decrease, we have......
[Greater number - Lesser Number] / [Greater Number]
This IS a seemingly confusing situation.......here's a page that may help explain Honga's answer.....
http://tutorial.math.lamar.edu/Classes/CalcI/LimitsAtInfinityI.aspx
log2x + logx2 = log 16 using a property of logs on the left hand side
log(2x*x2) = log (16 ) so....equating the expressions in the parentheses, we have
2x3 = 16 divide both sides by 2
x3 = 8 take the cube root of both sides
x = 2
Here's the website I like for Calculus 1.......http://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx
If you look under "Class Notes," he also presents Calc 2 and Calc 3 notes...
I find that the explanations are thorough, and easily understood......
Just multiply 160 by 1.15......!!!
Using
1 - cos2x = sin2x .... we have...
1 - (2/5)2 = sin2(x)
1 - (4/25) = sin2(x)
21/25 = sin2(x) take the square root of both sides
±√(21 / 25) = [±(1/5)√21 ] = sin(x)
I assume we have...
0 =tan(Θ) + 6(Θ) - 7
Wolfram Alpha gives the following few solutions (in radians)
√216 =
√(36 * 6)
6√6
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250 lbs x 16 ounces in a lb = 4000 oz / 24 hrs = abour 166.66 oz/hr
