300 students attended the dedication ceremony of a new building on a college campus the president of the traditionally female college announced a new expansion programme which included plans to make the college co-educational the number of students who learnt of the new program t hours later is given by the function

Complete Question

The complete question is shown on the first uploaded image

The number of student that have heard the announcement after 4 hours is  

Step-by-step explanation:

From the question we are told that

Now at time t =  0  f(t) = 300 this because at the time the announcement was made the number of student present was

    so

=>                  

So the above  equation becomes

 Now at the given time  t = 2hr  

     So

So the equation is now

Now  at  t =  4 hrs we have that

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°