Answer:
<em> I Think this will be the answer, We need to write the equation of a line with the given values of $f(0)=2$ and $f(2)=4$. To write the equation of the line, we can use the slope-intercept ...</em>
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Step-by-step explanation:
give brainiest
Answer:
<h2>CD = 12.7 cm</h2>
Step-by-step explanation:
![\text{Use the Pythagorean theorem to calculate the length of the CB:}\\\\CB^2+BA^2=AC^2\\\\CB^2+6^2=12^2\\\\CB^2+36=144\qquad\text{subtract 36 from both sides}\\\\CB^2=108\to CB=\sqrt{108}\\\\CB=\sqrt{36\cdot3}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\CB=\sqrt{36}\cdot\sqrt3\\\\CB=6\sqrt3](https://tex.z-dn.net/?f=%5Ctext%7BUse%20the%20Pythagorean%20theorem%20to%20calculate%20the%20length%20of%20the%20CB%3A%7D%5C%5C%5C%5CCB%5E2%2BBA%5E2%3DAC%5E2%5C%5C%5C%5CCB%5E2%2B6%5E2%3D12%5E2%5C%5C%5C%5CCB%5E2%2B36%3D144%5Cqquad%5Ctext%7Bsubtract%2036%20from%20both%20sides%7D%5C%5C%5C%5CCB%5E2%3D108%5Cto%20CB%3D%5Csqrt%7B108%7D%5C%5C%5C%5CCB%3D%5Csqrt%7B36%5Ccdot3%7D%5Cqquad%5Ctext%7Buse%7D%5C%20%5Csqrt%7Bab%7D%3D%5Csqrt%7Ba%7D%5Ccdot%5Csqrt%7Bb%7D%5C%5C%5C%5CCB%3D%5Csqrt%7B36%7D%5Ccdot%5Csqrt3%5C%5C%5C%5CCB%3D6%5Csqrt3)
![\text{Use sine to calculate the length of CD:}\\\\sin\theta=\dfrac{opposite}{hypotenuse}\\\\\theta=55^o\\opposite=6\sqrt3\\hypotenuse=CD\\\\\sin55^o\approx0.8192\qquad(look\ at\ the\ picture)\\\\\text{Substitute:}\\\\0.8192=\dfrac{6\sqrt3}{CD}\\\\0.8192=\dfrac{10.3923}{CD}\qquad\text{multiply both sides by}\ CD\\\\0.8192CD=10.3923\qquad\text{divide both sides by 0.8192}\\\\CD\approx12.7](https://tex.z-dn.net/?f=%5Ctext%7BUse%20sine%20to%20calculate%20the%20length%20of%20CD%3A%7D%5C%5C%5C%5Csin%5Ctheta%3D%5Cdfrac%7Bopposite%7D%7Bhypotenuse%7D%5C%5C%5C%5C%5Ctheta%3D55%5Eo%5C%5Copposite%3D6%5Csqrt3%5C%5Chypotenuse%3DCD%5C%5C%5C%5C%5Csin55%5Eo%5Capprox0.8192%5Cqquad%28look%5C%20at%5C%20the%5C%20picture%29%5C%5C%5C%5C%5Ctext%7BSubstitute%3A%7D%5C%5C%5C%5C0.8192%3D%5Cdfrac%7B6%5Csqrt3%7D%7BCD%7D%5C%5C%5C%5C0.8192%3D%5Cdfrac%7B10.3923%7D%7BCD%7D%5Cqquad%5Ctext%7Bmultiply%20both%20sides%20by%7D%5C%20CD%5C%5C%5C%5C0.8192CD%3D10.3923%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%200.8192%7D%5C%5C%5C%5CCD%5Capprox12.7)
The answer given below in picture.
I hope it helps.