3 years ago

Which shows 43 billion in scientific notation?

Mathematics

1 answer:

Marizza181 [45]3 years ago

5 0

43 billion in scientific notation is:

4.3 × 10^10

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A 20-foot ladder is leaning against a tree. The bottom of the ladder is 12 feet away from the bottom of the tree. Approximately

arsen [322]

Pythagorean theorem is a^2 + b^2 = c^2. the hypotenuse is always the longest, so lets plug in the values.

a^2 + 12^2 = 20^2
if we simplify, we get a^2 + 144 = 400

then subtract 400-144 = 256
then find the sq. root of 256 = 16.

the answer is 16 feet

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=c%5E2%3Da%5E2%2Bb%5E2-2ab%20cosC" id="TexFormula1" title="c^2=a^2+b^2-2ab cosC" alt="c^2=a^2+b

Ad libitum [116K]

$\bf \textit{Law of Cosines}\\ \quad \\
c^2 = {{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)\implies 
c = \sqrt{{{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)}\\ \quad \\

\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}=cos(C)\implies cos^{-1}\left(\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}\right)=\measuredangle C$