Out of 120 students in exam, 2/3 of them passed. How many students passed?
now,
no of students passed = 2/3×120
= 0.66×120
=80...
therefore <em>8</em><em>0</em><em> </em><em> </em><em>students</em><em> </em><em>were</em><em> </em><em>passed</em><em>.</em><em>.</em><em>.</em><em>.</em>
Answer:



Step-by-step explanation:
step 1
Find the measure of side c
Applying the law of cosines

substitute the given values



step 2
Find the measure of angle A
Applying the law of sine

substitute the given values




step 3
Find the measure of angle B
we know that
The sum of the internal angles of a triangle must be equal to 180 degrees
so

substitute the given values



Answer:
Step-by-step explanation:
Vertex form is accomplished by completing the square on the quadratic. Do this by first setting the parabola equal to 0 then moving the constant over to the other side:

Now take half the linear term, square it, and add it to both sides. Our linear term is 6. Half of 6 is 3, and 3 squared is 9:

The reason we do this is to create a perfect square binomial on the left:
(obviously the 0 results from the addition of 9 and -9). Move the 0 back over to the other side and set the quadratic back equal to y:

This gives you a vertex of (-3, 0), which is a minimum value, since the parabola opens upwards.
The interior of a triangle = 180°
So 180° - 85° -50° = 45°
c. 45 degrees