Five and nine hundred twenty-one thousandths
You have the correct sequence of reasons
Here's what the full step by step picture looks like
3.25(1.25x + 0.5) = 10.5 ................ given
4.0625x + 1.625 = 10.5 ................ distributive property
4.0625x = 8.875 ................ subtraction property of equality
x = 2.18461538461539 ....... division property of equality
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Notes:
- The decimal value of x is approximate. Round it however you need.
- In the third step, we subtracted 1.625 from both sides
- In the fourth step, we divide both sides by 4.0625
Answer:
Step-by-step explanation:
To find the volume of a rectangular prism you multiply your length by your width by your height.
Hope this helps! Have a great day!
For starters,
tan(2θ) = sin(2θ) / cos(2θ)
and we can expand the sine and cosine using the double angle formulas,
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = 1 - 2sin^2(θ)
To find sin(2θ), use the Pythagorean identity to compute cos(θ). With θ between 0 and π/2, we know cos(θ) > 0, so
cos^2(θ) + sin^2(θ) = 1
==> cos(θ) = √(1 - sin^2(θ)) = 4/5
We already know sin(θ), so we can plug everything in:
sin(2θ) = 2 * 3/5 * 4/5 = 24/25
cos(2θ) = 1 - 2 * (3/5)^2 = 7/25
==> tan(2θ) = (24/25) / (7/25) = 24/7
