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Answer:
38.5°
Step-by-step explanation:
You are given all three side lengths of the relevant triangle, so the Law of Cosines can be used to find any desired angle. If we call the desired angle C, then that law tells you ...
C = arccos((a² +b² -c²)/(2ab))
where a and b are the triangle side lengths adjacent to the angle of interest, and c is the side opposite. Here, 'a' and 'b' are the pole and cable lengths, and 'c' is the distance of the stake from the pole.
C = arccos((35² +48² -30²)/(2·35·48)) = arccos(2629/3360)
C ≈ 38.515°
The cable makes an angle of about 38.5° with the pole.
Answer: Yes.
Step-by-step explanation: Convert it to a decimal. Percent means per 100. So if you have 50% the decimal form is .5 since you divide 50 by 100. 5% would be .05 etc
Answer:
2v + 20
Step-by-step explanation:
Hey!
Step-by-step explanation:
Arc length formula is

where x is radinas.
A semi circle has a radian measure of

The radius is half of the diameter, 12 so the radius is

So the arc length is

Area of semi circle is

where r is the radius.



(For full answer you might have to go to the comments)
Answer: 28x+30
Explanation: we divide (3x^3-2x^2+4x-3) by (x^2+3x+3) Using long division
3x-11
___________________
(x^2+3x+3) 3x^3-2x^2+4x-3
-(3x^3+9x^2+9x)
__________________
-11x^2-5x-3
-(-11x^2-33x-33)
____________
28x+30
So our remainder will be 28x+30