We are tasked to solve for the smallest angle using the law of cosines given that the three sides of the triangle are 4,5 and 6.
a=4 , b=5, c=6
Angle 1:
cosA = 5² + 6² - 4² / 2*5*6
A=41.41°
Angle 2:
cos B = 4²+6² -5² /2*4*6
B= 55.77°
Angle C:
C = 180° - 41.41° - 55.77°
C = 82.82°
The smallest angle is A which is equal to 41.41°.
Answer:
$-48
Step-by-step explanation:
(-125 + -86 +54 +-35)/4 = -48
Add all the Profits/losses and divide by the number of weeks.
Answer:
Option B.
Step-by-step explanation:
Consider the below figure attached with this question.
From the below figure it is clear that the center of the given circle is (4,5).
The standard form of a circle is

where, (h,k) is center of the circle and r is radius.
We need to find the equation of a circle which represents the same center as the circle shown but with a radius of 2 units.
Substitute h=4, k=5 and r=2 in the above equation.


The required equation is
.
Therefore, the correct option is B.
Answer:
11 + 5i
Step-by-step explanation:
6 + 5i + 8 + 3i² =
= 6 + 8 + 3(-1) + 5i
= 14 - 3 + 5i
= 11 + 5i