Given that tan(x)= -4/7, and 270 degrees< x< 360 degrees, what is the exact value of sec(x)

sec(x) = 1.15

Step-by-step explanation:

We can figure out what x is by using the arctan(x) function:

So, now let's figure out the cos(x) as sec(x) is equal to the reciprocal of cos(x):

Let's take the reciprocal:

And that's your answer.

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

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