Answer:

Step-by-step explanation:
To solve this problem we need to be familiar with the formula for the surface area of a cone:

We are given the length of a side and the diameter, to calculate the radius divide the diameter in half:

To calculate the height of the cone, we must use the Pythagorean Theorem:

We can treat the side length as the hypotenuse
, the radius as the base
, and solve for height
. Set the expression up like this:

Now we can plug into our original formula:

Answer:
17) 
18) 
19) 
20) 
Step-by-step explanation:
Answer:
about 2.81 km/h
Step-by-step explanation:
It can be useful to draw a diagram.
The lines pointing to due north from points B and P are parallel, so the angle BCP and the bearing of point C from P are the same, 30°. The angle BPC will be the difference of bearings of B and C at P, so is 47-30=17°. This is enough information to solve the triangle using the Law of Sines:
PB/sin(C) = CB/sin(P)
CB = PB·sin(P)/sin(C) = (1200 m)·sin(17°)/sin(30°) ≈ 701.7 m
The speed of the boat is then ...
x = distance/time = (0.7017 km)/(1/4 h) = 2.8068 km/h
Answer:
-3
Step-by-step explanation:
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The graph shown above is a "parabola" and the parent function is x². So, we can start off at x². The graph of x² intersects the x and y-axis at (0, 0). In this case, it's simply being shifted up by 1 and intersects the x and y-axis at (0, 1). Therefore, the equation is:

To check, let's plug in 0 for x, and see what we get (we should get 1):


We are right, so your final answer is
x² + 1.