Answer:
x = 31
Step-by-step explanation:
The 2 sides are congruent, meaning the 2 angles are equal so:
47 = x + 16
subtract 16 from both sides
31 = x
-2(x + 5) = 2 |use distributive property: a(b + c) = ab + ac
-2x - 10 = 2 |add 10 to both sides
-2x = 12 |divide both sides by (-2)
x = -6
I don’t know but I need an answer
I assume the cone has equation
(i.e. the upper half of the infinite cone given by
). Take

The volume of the described region (call it
) is

The limits on
and
should be obvious. The lower limit on
is obtained by first determining the intersection of the cone and sphere lies in the cylinder
. The distance between the central axis of the cone and this intersection is 1. The sphere has radius
. Then
satisfies

(I've added a picture to better demonstrate this)
Computing the integral is trivial. We have

Answer:
5 miles=8 km
=)1 mile=8/5 km=1.6 km
=)40 miles=1.6×40=64 km
So, 40 miles is 64 km.
Step-by-step explanation: