Answer:
A. 25 < (x – 1)² + y² and 16 > x² + (y + 4)²
Step-by-step explanation:
the solutions are in the outside of the bigger circle, but inside of the smaller circle
![\bf \left( -\cfrac{1}{3} \right)^5\implies \left( -\cfrac{1}{3} \right)\left( -\cfrac{1}{3} \right)\left( -\cfrac{1}{3} \right)\left( -\cfrac{1}{3} \right)\left( -\cfrac{1}{3} \right)\implies -\cfrac{1^5}{3^5}\implies -\cfrac{1}{243}](https://tex.z-dn.net/?f=%5Cbf%20%5Cleft%28%20-%5Ccfrac%7B1%7D%7B3%7D%20%5Cright%29%5E5%5Cimplies%20%5Cleft%28%20-%5Ccfrac%7B1%7D%7B3%7D%20%5Cright%29%5Cleft%28%20-%5Ccfrac%7B1%7D%7B3%7D%20%5Cright%29%5Cleft%28%20-%5Ccfrac%7B1%7D%7B3%7D%20%5Cright%29%5Cleft%28%20-%5Ccfrac%7B1%7D%7B3%7D%20%5Cright%29%5Cleft%28%20-%5Ccfrac%7B1%7D%7B3%7D%20%5Cright%29%5Cimplies%20-%5Ccfrac%7B1%5E5%7D%7B3%5E5%7D%5Cimplies%20-%5Ccfrac%7B1%7D%7B243%7D)
recall minus * minus * minus * minus * minus is minus.
Answer:
3 < x < 17
Step-by-step explanation:
Given 2 sides then the possible range of the third side x is
difference of 2 sides < x < sum of 2 sides , that is
10 - 7 < x < 10 + 7
3 < x < 17
Answer:
will you have to put the options down in the ch.at since you didn't put them in the question
Step-by-step explanation:
Answer:
159 m
Step-by-step explanation:
From the information given:
It was stated that if the ostrich ran towards the east direction in 7.95 s, let say the distance from the starting point is O towards the east side E, let called the distance towards the east side to be OE.
Again, the ostrich then runs in the south direction for 161 m, let the distance be OS.
Also, let the magnitude of the resultant displacement between the east direction to the south direction be ES = 226m.
We are to find, the magnitude of the ostrich's eastward component.
i.e. The distance traveled from the center to the east direction within the time frame of 7.95 s.
Using the Pythagoras rule:
ES² = OE² + OS²
226² = OE² + 161²
226² - 161² = OE²
OE² = 226² - 161²
OE² = 51076 - 25921
OE² = 51076 - 25921
OE² = 25155
![OE = \sqrt{25155}](https://tex.z-dn.net/?f=OE%20%3D%20%5Csqrt%7B25155%7D)
OE = 158.60 m
OE ≅ 159 m
Thus, the magnitude of the ostrich's towards the eastward component. = 159 m.