The correct answer for the completion exercise shown above is: "Rectangle".
Then, the complete sentece is: <span>The only way to circumscribe a circle around a parallelogram is to make the parallelogram a rectangle.
The explanation is shown below:
By definition, a parallelogram is a four sided polygon (or a quadrilateral). Therefore, to circumsbribe a circle around this figure, all the vertexes must lie on the circle and it must have four angles of 90 degrees. So, it must be a rectangle. </span>
Given that the function is:
y=a cos( bx+c), or y=a sin(x+c)
then the period is calculated as T= 2π/b and if T=2:
2=2π/b
b=2π/2=π
Therefore, the correct answer is option B, y=3 cos πx.
Hope this answers the question. Have a nice day.
9514 1404 393
Answer:
C. 837
Step-by-step explanation:
The remaining angle is ...
C = 180° -A -B = 180°-62° -67° = 51°
The law of sines tells us that the length AC is ...
AC/sin(B) = AB/sin(C)
AC = AB·sin(B)/sin(C) = 40·sin(67°)/sin(51°)
Using the area formula given, we now have ...
area = 1/2(AB)(AC)sin(A)
= (1/2)(40)(40·sin(67°)sin(62°)/sin(51°) ≈ 836.7
The area of the triangle is about 837 square units.
The answer is 8, hope this helps :)
