In the equation y=mx+b, the variable m represents the slope of the line. Therefore, the equation -5x+2y=10 can be rearranged into 2y=5x+10. Isolate the y to get y=2.5x+5. The slope of the line is 2.5
I can use the angle and the length of JH to find the length of IJ.
To do this, I look at the relationship IJ and JH have to the 52 degree angle. JH is opposite to angle I, and IJ is adjacent to angle I. Because the two side lengths are opposite and adjacent, I use the tangent function to solve this.
Tangent of an angle = the length of the opposite side / the length of the adjacent side. This is just another way to say tan(x)=opposite/adjacent
Now I can fill in what I know...
tan(52)=4.2/x
Now, I want to isolate x.
tan(52) = 4.2/x
x(tan(52))=4.2
x=4.2/tan(52)
Now I put 4.2/tan(52) into a calculator and get x = 3.3 ft
Hope this helps!
First, I add all of my prices together.
$9.50(2)+$7.95+$7.95+$49.95= $84.85
Change 6% to a decimal = .06
Then multiply: 84.85 x .06 = $5.09
$5.09 is the sales tax
$84.85 + $5.09 = $89.94
Answer: $89.94
I hope this helps :)
Answer:
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The circumference (in terms of "π") is: " 12π in. " .
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The circumference (using "3.14" as an approximation for "π") is: " 37.7 in. " .
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Circumference, "C" = π* d ; (d = diameter = 12 in.);
C = π* d = π * 12 in. = " 12π in. " (in terms of "π").
Or, using the approximation, "π ≈ 3.14" ;
C = 3.14 * (12 in.) = 37.68 inches ; round to: " 37.7 in. " .
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The answer is (3.14)(6^2)(9).
