Pyramid Surface Area = (½ * Perimeter of Base * Slant Height) + Base Area
Answer:

And for this case we want a gpa of 3.0 taking in count that in this semester he/ she is going to take 16 credits so then the new mean would be given by:

And we can solve for
and solving we got:

And from the previous result we got:

And solving we got:

And then we can find the mean with this formula:

So then we need a 3.3 on this semester in order to get a cumulate gpa of 3.0
Step-by-step explanation:
For this case we know that the currently mean is 2.8 and is given by:

Where
represent the number of credits and
the grade for each subject. From this case we can find the following sum:

And for this case we want a gpa of 3.0 taking in count that in this semester he/ she is going to take 16 credits so then the new mean would be given by:

And we can solve for
and solving we got:

And from the previous result we got:

And solving we got:

And then we can find the mean with this formula:

So then we need a 3.3 on this semester in order to get a cumulate gpa of 3.0
Answer:
The volume of this cylinder is 9184.5 cubic feet.
Step-by-step explanation:
The area of a circle is
and the volume of a cylinder with that base is just that area times the height:

Here, we're given the diameter, but we need the radius. The radius of a circle is just half of the diameter:

Next, you can use that radius to calculate the area of the base:

Finally, multiply that by the height to find the volume of the cylinder:

The volume of this cylinder is 9184.5 cubic feet.
Answer:
A
Step-by-step explanation:
The cosine of a right triangle is the adjacent over the hypotenuse. If the cosine is -3/5 then it must be a right triangle with sides 3, 4, & 5 since this is a Pythagorean triple. This means the sin will be -4/5. We know its negative because the tangent is positive so this is the 3rd quadrant where both Sine and Cosine are negative.