Answer:
Step-by-step explanation:
first, your answer will be negative,
x^12*(2y)^3=x^12(8y^3)
denominator= -x^2*y^12
after we divide them=- 8 x^10/y^9
choice E
Answer: 9.97
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Explanation:
y = distance from the base of the pole to the closest person
y+200 = total horizontal distance
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Focus on the smaller right triangle.
tan(angle) = opposite/adjacent
tan(26) = 55/y
y*tan(26) = 55
y = 55/tan(26)
y = 112.76671 approximately
Make sure your calculator is in degree mode.
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Now move to the larger right triangle
tan(angle) = opposite/adjacent
tan(x) = 55/(y+200)
tan(x) = 55/(112.76671+200)
tan(x) = 55/312.76671
tan(x) = 0.17585
x = arctan(0.17585) same as ![\tan^{-1}](https://tex.z-dn.net/?f=%5Ctan%5E%7B-1%7D)
x = 9.97349
x = 9.97 degrees approximately
Answer:
degrees.
Step-by-step explanation:
Line ABC is a straight line, and the angle on a straight line is always 180 degrees.
Since ABD + DBC = ABC, we know that ![x+8x=180](https://tex.z-dn.net/?f=x%2B8x%3D180)
![9x=180](https://tex.z-dn.net/?f=9x%3D180)
Divide both sides by 9:
![x=180\div 9=20](https://tex.z-dn.net/?f=x%3D180%5Cdiv%209%3D20)
DBC is
degrees.
Answer:
1 / 18
Step-by-step explanation:
In a roll of two dice :
Number of faces on a dice = 6
Total sample space for 2 6-sided dice = (number of faces)^Number of dice = 6^2 = 36
Total possible outcomes = 36
Required outcome = sum of 11
11 = {(5,6) ; (6, 5)}) = 2 possibilities
Probability = required outcome / Total possible outcomes
P(obtaining a sum of 11) = 2 / 36 = 1/18
Answer:
C
Step-by-step explanation:
y = 1/2x^2 + 2x - 6
When, x = 0, y = - 6
you don't need to find another variable. Because in number C u can find a graph that has y= -6 when x =0.