Answer:
-2
Step-by-step explanation:
Let x be the unknown value
Log₆ ( 1/36) = x
( 1/36) = 36⁻¹ = (6²)⁻¹ = 6⁻²
Log₆ ( 1/36) = Log₆
6⁻² = -2 Log₆
6
Log₆
6 = 1
-2 Log₆
6 = -2(1) = -2
3/14 - 1/7
= 3/14 - 2/14
= 1/14
so, 3/14 - 1/7 = 1/14
Answer:
Resultant is 50 mi/hr in the north east direction
Step-by-step explanation:
Plane is traveling north east at 150 mi/hr.
Now a wind is blowing from the south west at 100 mi/hr.
Now, north east and south west are directly opposite directions and such the angle between the resultant speed of the plane in flight and the wind will be;
150 - 100 = 50 mi/hr
Since the north east speed is greater than the south east speed, then the direction will be north east.
Thus, resultant is 50 mi/hr in the north east direction
Answer:
-65, -13, -7, 34, 55, and 62
Step-by-step explanation:
Answer:
Option C
Step-by-step explanation:
Since, measure of all sides of the triangle has been given in the picture,
By applying cosine rule in the given triangle,
AC² = AB² + BC² - 2(AB)(BC)cos(B)
11² = 16² + 16² - 2(16)(16)cos(B)
121 = 256 + 256 - 512.cos(B)
121 - 512 = - 512.cos(B)
cos(B) = 
= 0.763672
B = 
B = 40.2°
Therefore, measure of angle B is 40.2°.
Option C is the answer.
