Geometry 30

the picture below shows a right-triangle-shaped charging stand for a gaming system:

which expression shows the length, bc, of the base of the stand?

In this triangle, , so

The expression to calculate the side BC is

Step-by-step explanation:

Notice that this is a problem of trigonometry in right triangles. So, the first step is to identify the data we have and the unknowns.

Then, the questions is: What trigonometrical functions relates the measure of an angle and the sides of a right triangle? The answer is: the tangent.

The formula for the tangent of B is opposite/adjacent; i.e.

Now, isolating the side BC

But the reciprocal function of the tangent is the cotangent, then

Finally, substituting the known values:

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

answer: -1

step-by-step explanation: