Answer:
0 < k < 2
Step-by-step explanation:
<u>In the first quadrant both of x and y get positive values, so </u>
<u>And replacing x with 2k in the second equation:</u>
- 3x + 2y = 12
- 3*2k + 2y = 12
- 2y= 12 - 6k
- y = 6 - 3k
<u>Since y > 0:</u>
<u>Combining both k > 0 and k < 2, we get:</u>
Answer: A
Step-by-step explanation:
The denominator cannot equal 0, so .
-5x - 49 > 113
Add 49 to both sides
-5x > 162
Divide both sides by -5
x > -32.4
Hope this helps!
Answer:
Amount of string let out by Jim will be 156.9 m.
Step-by-step explanation:
Distance between Jim and Patty = 200 m
Angle of elevation of the kite from Jim = 85°
Angle of elevation of the kite from Patty = 40°
Angle between the lines joining Jim and kite and Patty and the kite = 180° - (85 + 40)° = 55°
By applying Sine rule in the triangle formed by the kite, Jim and Patty,
x =
x = 156.94
≈ 156.9 m
Therefore, amount of string let out by Jim will be 156.9 m.