What is the length of BD?
2 answers:
Answer:
9 units
Step-by-step explanation:
Answer: BD = 9 units
Step-by-step explanation:
ABQ and CDQ are congruent triangles. That means their angle measures are the same but their lengths may be proportional.
19.2 / 32 = 0.6
15 * 0.6 = 9
So the length of side BD is 9 units.
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![\bf \textit{volume of a sphere}\\\\ V=\cfrac{4}{3}\pi r^3\qquad \begin{cases} r=radius\\ ------\\ V=3600 \end{cases}\implies 3600=\cfrac{4}{3}\pi r^3 \\\\\\ 3600=\cfrac{4\pi r^3}{3}\implies \sqrt[3]{\cfrac{3\cdot 3600}{4\pi }}=\boxed{r}\\\\ -----------------------------\\\\ \textit{surface area of a sphere}\\\\ S=4\pi r^2\implies S=4\pi \left(\boxed{\sqrt[3]{\cfrac{3\cdot 3600}{4\pi }}} \right)^2](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20sphere%7D%5C%5C%5C%5C%0AV%3D%5Ccfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0Ar%3Dradius%5C%5C%0A------%5C%5C%0AV%3D3600%0A%5Cend%7Bcases%7D%5Cimplies%203600%3D%5Ccfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%0A%5C%5C%5C%5C%5C%5C%0A3600%3D%5Ccfrac%7B4%5Cpi%20r%5E3%7D%7B3%7D%5Cimplies%20%5Csqrt%5B3%5D%7B%5Ccfrac%7B3%5Ccdot%203600%7D%7B4%5Cpi%20%7D%7D%3D%5Cboxed%7Br%7D%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C%0A%5Ctextit%7Bsurface%20area%20of%20a%20sphere%7D%5C%5C%5C%5C%0AS%3D4%5Cpi%20r%5E2%5Cimplies%20S%3D4%5Cpi%20%5Cleft%28%5Cboxed%7B%5Csqrt%5B3%5D%7B%5Ccfrac%7B3%5Ccdot%203600%7D%7B4%5Cpi%20%7D%7D%7D%20%20%5Cright%29%5E2)
simplify away
What is your question?????
Use proportions and use letters for unknown measurements
