Answer:
![L(f(t)) = \dfrac{6}{S^2+1} [\sqrt{3} \ S +1 ]](https://tex.z-dn.net/?f=L%28f%28t%29%29%20%3D%20%5Cdfrac%7B6%7D%7BS%5E2%2B1%7D%20%5B%5Csqrt%7B3%7D%20%5C%20S%20%2B1%20%5D)
Step-by-step explanation:
Given that:
recall that:
cos (A-B) = cos AcosB + sin A sin B
∴
![f(t) = 12 [cos\ t \ cos \dfrac{\pi}{6}+ sin \ t \ sin \dfrac{\pi}{6}]](https://tex.z-dn.net/?f=f%28t%29%20%3D%2012%20%5Bcos%5C%20%20t%20%5C%20%20cos%20%5Cdfrac%7B%5Cpi%7D%7B6%7D%2B%20sin%20%5C%20t%20%20%5C%20sin%20%5Cdfrac%7B%5Cpi%7D%7B6%7D%5D)
![f(t) = 12 [cos \ t \ \dfrac{3}{2}+ sin \ t \ sin \dfrac{1}{2}]](https://tex.z-dn.net/?f=f%28t%29%20%3D%2012%20%5Bcos%20%5C%20%20t%20%5C%20%5Cdfrac%7B3%7D%7B2%7D%2B%20sin%20%20%5C%20t%20%20%5C%20sin%20%5Cdfrac%7B1%7D%7B2%7D%5D)
![L(f(t)) = L ( 6 \sqrt{3} \ cos \ (t) + 6 \ sin \ (t) ]](https://tex.z-dn.net/?f=L%28f%28t%29%29%20%3D%20L%20%28%206%20%5Csqrt%7B3%7D%20%5C%20cos%20%5C%20%28t%29%20%2B%206%20%5C%20sin%20%5C%20%28t%29%20%5D)
![L(f(t)) = 6 \sqrt{3} \ L [cos \ (t) ] + 6\ L [ sin \ (t) ]](https://tex.z-dn.net/?f=L%28f%28t%29%29%20%3D%206%20%5Csqrt%7B3%7D%20%5C%20L%20%5Bcos%20%5C%20%28t%29%20%5D%20%2B%206%5C%20L%20%5B%20sin%20%5C%20%28t%29%20%5D)
The formula for this would be the Pythagorean Theorem. This meaning a²+b²=c²
so a²+15²=25, 15²=225, so a²+225=25, move the 225 over and a²=250, square root of 250 is 15.8 rounded up to 16 feet so, so a=16. but idk that might not be right
Answer:
1,485
Step-by-step explanation:
The formula for area is A=bH (base x height) so you multiply 45 x 33
<span>So
the given numbers are:
=> One year, the price of wheat is 8.87 dollars
=> the next year, the price of wheat is 9.60 dollars.
We were asked to round each prices of bushels of wheat to its nearest tenths.
=> 8.87, where 8 before the decimal point is ones, 8 next to decimal point
is tenths and 7 is the hundredths.
=>round off to the nearest tenths
=> 8.9
=> next is 9.60, where 9 is the ones value, 6 is the tenths value and 0 is
the hundredths.
=> round off to nearest tenths
=> 9.6
</span>
To find the probability, you need to divide the amount of red marbles by the total amount of marbles.
1/10 = 0.1.
The probability of choosing a red marble is 0.1, or 10%
