Answer:
20.
Given, complex number is 10+5i .
We need to find sum of the given complex number and its conjugate. The conjugate of 10+5i is 10-5i. Therefore, the sum will be 10+5i+10−5i=20.
Answer:
Speed = 0.1333 km/minute
Step-by-step explanation:
According to the graph :
At 10 minutes, it could be observed that the Distance moved started to reduce until distance moved reached 0 at 20 minutes. This could be interpreted as a case of negative acceleration (that is deceleration) whereby the distance covered started to decrease with time until the it rest at 0.
Speed during the last 30 minutes :
Speed = distance / time
Distance moved during this period :
Distance (from 0 to 4km)
Time = (from 30 to 60 minutes)
Speed = (4 - 0) / (60 - 30)
Speed = 4 / 30
Speed = 0.13333 km per minute
The end of his round on Saturday was a -5, and the end of his round on Sunday was a 0.
Answer:

Step-by-step explanation:
we know that
In the triangle abc
if 
then

Because, the sum of the interior angles in a triangle must be equal to 180 degrees
therefore
Triangle abc is a right triangle
see the attached figure to better understand the problem
The sine of angle a is equal to divide the opposite side to angle a by the hypotenuse
so

The cosine of angle b is equal to divide the adjacent side to angle b by the hypotenuse
so

therefore

When two angles are complementary, the sine of one angle is equal to the cosine of the other angle and the cosine of one angle is equal to the sine of the other angle
so


For this case we have that by definition, the circumference of a circle is given by:

Where:
d: It is the diameter of the circle
They tell us that:

Substituting:

Thus, the circumference of the circle is 55 centimeters.
Answer:
Option B