Answer:
Step-by-step explanation:
240 has a reference angle of 60 in the third quadrant. The side across from 60 is going to be negative in this quadrant, measuring -√3; the side adjacent to the angle is also negative in this quadrant, measuring -1. The tangent ratio is the side opposite the angle over the side adjacent to the angle, so
tan(240) = √3
Answer:
30%
Step-by-step explanation:
total boxes of pizza = 20
he gave away 14 boxes
so pizza left is 20 - 14 = 6 boxes
to calculate percentage = 6 / 20 * 100
= 6 * 5
= 30%
In cylindrical coordinates, we have
, so that

correspond to the upper and lower halves of a sphere with radius
. In spherical coordinates, this sphere is
.
means our region is between two cylinders with radius 1 and
. In spherical coordinates, the inner cylinder has equation

This cylinder meets the sphere when

which occurs at

where
. Then
.
The volume element transforms to

Putting everything together, we have

Seven twenty-two am
7:22am
Answer:
The correct answer is A) x = 2 and y = 6
Step-by-step explanation:
In order to find the answer, we need to set the hypotenuses equal to each other. Then we can solve for y to get the equation.
y - 1 = x + 3
y = x + 4
Now we can do the same with the leg lengths.
y - 3 = 2x - 1
y = 2x + 2
Now that we have two equations, we can set them equal to each other to get the x value.
x + 4 = 2x + 2
4 = x + 2
2 = x
Now that we have x, we can plug it into any equation to get the y value.
y = x + 4
y = 2 + 4
y = 6