Answer:
13.8
Step-by-step explanation:
Recall the trigonometric ratios
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse (CAH)
Tangent = Opposite over Adjacent (TOA)
Now lets look back at the question
We are given an angle and its adjacent side length (11) and we need to find the hypotenuse
The hypotenuse and adjacent sides corresponds with the trig function cosine so we will use cosine to solve for x
( remember that cosine = adjacent over hypotenuse )
![cos(37)=\frac{11}{x}](https://tex.z-dn.net/?f=cos%2837%29%3D%5Cfrac%7B11%7D%7Bx%7D)
step 1 multiply each side by x
![cos(37)*x=xcos(37)\\\frac{11}{x} *x=11](https://tex.z-dn.net/?f=cos%2837%29%2Ax%3Dxcos%2837%29%5C%5C%5Cfrac%7B11%7D%7Bx%7D%20%2Ax%3D11)
now we have ![xcos(37)=11](https://tex.z-dn.net/?f=xcos%2837%29%3D11)
step 2 divide each side by cos(37)
![\frac{xcos(37)}{cos(37)} =x\\\frac{11}{cos(37)} =13.77349\\](https://tex.z-dn.net/?f=%5Cfrac%7Bxcos%2837%29%7D%7Bcos%2837%29%7D%20%3Dx%5C%5C%5Cfrac%7B11%7D%7Bcos%2837%29%7D%20%3D13.77349%5C%5C)
we're left with x = 13.77439
Our last step would be to round to the nearest tenth
We would get that the answer is 13.8
Answer:
-1059
Step-by-step explanation:
Katelyn, this is super easy to understand.
Anyways, to find the 96th term of the sequence, first subtract -14 and -3. You may be thinking it is -17, but it is not. -17 is only if you are subtracting -14 and 3.
(-14) - (-3) = -14 + 3 = -11.
That means the difference between each number is -11.
Now all you have to do is take the -11 and multiply it by 96, which is -1056. Then, add the -1056 to -3, which is -1059. That should be your answer.
Your school may have taught you a different way, but this is my way.
The circumference of circle with a radius of 63mm is 395.84
I hope this helps!
There is no x value as there is no solution. I plugged into desmos cause it didnt make sense at first then it showed me that it has no solution.
Https://us-static.z-dn.net/files/d28/08b2d5bd293988d03f6efb93f4245e7d.jpeg