Answer:
The cosine of 86º is approximately 0.06976.
Step-by-step explanation:
The third degree Taylor polynomial for the cosine function centered at
is:
![\cos x \approx -\left(x-\frac{\pi}{2} \right)+\frac{1}{6}\cdot \left(x-\frac{\pi}{2} \right)^{3}](https://tex.z-dn.net/?f=%5Ccos%20x%20%5Capprox%20-%5Cleft%28x-%5Cfrac%7B%5Cpi%7D%7B2%7D%20%5Cright%29%2B%5Cfrac%7B1%7D%7B6%7D%5Ccdot%20%5Cleft%28x-%5Cfrac%7B%5Cpi%7D%7B2%7D%20%5Cright%29%5E%7B3%7D)
The value of 86º in radians is:
![86^{\circ} = \frac{86^{\circ}}{180^{\circ}}\times \pi](https://tex.z-dn.net/?f=86%5E%7B%5Ccirc%7D%20%3D%20%5Cfrac%7B86%5E%7B%5Ccirc%7D%7D%7B180%5E%7B%5Ccirc%7D%7D%5Ctimes%20%5Cpi)
![86^{\circ} = \frac{43}{90}\pi\,rad](https://tex.z-dn.net/?f=86%5E%7B%5Ccirc%7D%20%3D%20%5Cfrac%7B43%7D%7B90%7D%5Cpi%5C%2Crad)
Then, the cosine of 86º is:
![\cos 86^{\circ} \approx -\left(\frac{43}{90}\pi-\frac{\pi}{2}\right)+\frac{1}{6}\cdot \left(\frac{43}{90}\pi-\frac{\pi}{2}\right)^{3}](https://tex.z-dn.net/?f=%5Ccos%2086%5E%7B%5Ccirc%7D%20%5Capprox%20-%5Cleft%28%5Cfrac%7B43%7D%7B90%7D%5Cpi-%5Cfrac%7B%5Cpi%7D%7B2%7D%5Cright%29%2B%5Cfrac%7B1%7D%7B6%7D%5Ccdot%20%5Cleft%28%5Cfrac%7B43%7D%7B90%7D%5Cpi-%5Cfrac%7B%5Cpi%7D%7B2%7D%5Cright%29%5E%7B3%7D)
![\cos 86^{\circ} \approx 0.06976](https://tex.z-dn.net/?f=%5Ccos%2086%5E%7B%5Ccirc%7D%20%5Capprox%200.06976)
The cosine of 86º is approximately 0.06976.
Answer:
a) 29
b) 0
c) 7
d) 3/8
Step-by-step explanation:
Whenever you're facing a clock maths problem, the solution always have to be < to the number of hours in the given clock. If it's > the number of hours of the given clock, you subtract the number of hours until you get a result <= the number of clock hours.
If the result is negative, you add the clock hours.
a) 21 - 33 = -12 , so -12 + 41 = 29
b) 13 * 4 = 52, then do 52 - 52 = 0, since answer has to be < 52.
c) 11+19 = 30, 30 - 23 = 7
d) 3/8 = 3/8, since 3/8 <= 15, you're also fine.
Hi!
We will solve this using proportions, like this:
88 miles in 3 hours
x miles in 4 hours
________________
x = (88*4)/3
x = 352/3
x = 117,33 miles in 4 hours
Hope this helps!
Answer: -$560
Step-by-step explanation: Ahem, So basically u divide -$5040 by 9 months and then you get -$560
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