Answer:
Area = (1/2) * side 1 * side 2 * sine (73 degrees)
Area = (1/2) * 6 * 8 * .9563
Area = 22.9512 square feet
Step-by-step explanation:
I think you meant to say
![\displaystyle \lim_{t\to2}\frac{t^4-6}{2t^2-3t+7}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clim_%7Bt%5Cto2%7D%5Cfrac%7Bt%5E4-6%7D%7B2t%5E2-3t%2B7%7D)
(as opposed to <em>x</em> approaching 2)
Since both the numerator and denominator are continuous at <em>t</em> = 2, the limit of the ratio is equal to a ratio of limits. In other words, the limit operator distributes over the quotient:
![\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clim_%7Bt%5Cto2%7D%20%5Cfrac%7Bt%5E4%20-%206%7D%7B2t%5E2%20-%203t%20%2B%207%7D%20%3D%20%5Cfrac%7B%5Cdisplaystyle%20%5Clim_%7Bt%5Cto2%7D%28t%5E4-6%29%7D%7B%5Cdisplaystyle%20%5Clim_%7Bt%5Cto2%7D%282t%5E2-3t%2B7%29%7D)
Because these expressions are continuous at <em>t</em> = 2, we can compute the limits by evaluating the limands directly at 2:
![\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)} = \frac{2^4-6}{2\cdot2^2-3\cdot2+7} = \boxed{\frac{10}9}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clim_%7Bt%5Cto2%7D%20%5Cfrac%7Bt%5E4%20-%206%7D%7B2t%5E2%20-%203t%20%2B%207%7D%20%3D%20%5Cfrac%7B%5Cdisplaystyle%20%5Clim_%7Bt%5Cto2%7D%28t%5E4-6%29%7D%7B%5Cdisplaystyle%20%5Clim_%7Bt%5Cto2%7D%282t%5E2-3t%2B7%29%7D%20%3D%20%5Cfrac%7B2%5E4-6%7D%7B2%5Ccdot2%5E2-3%5Ccdot2%2B7%7D%20%3D%20%5Cboxed%7B%5Cfrac%7B10%7D9%7D)
Answer:
Thus the prime factors of the given numbers can be only 2, 3, 5, and 7. ... most 3 + 1 + 1 + 1 = 6 numbers, we are left with at least three numbers among the nine ... points, and b by blue points (for these inequalities to hold we might have to ... 8. The constant function f (x) = k, where k is a positive integer, is the only possible.
Step-by-step explanation:
Answer:
96 degress
Step-by-step explanation:
Because there are 60 minutes in an hour and 360 degrees in a circle, each minute is worth 6 degrees. From 6:00, the minute hand creates an angle of 96 degrees.
Answer:
B
Happy birthday
Step-by-step explanation: