What is tanc ? express your answer as a simplified fraction.

tan C = 1/2

Step-by-step explanation:

The tan function in a right triangle is the opposite side over the adjacent side

tan C = 11/22

We can divide the top and bottom by 11

tan C = 1/2

Tan(C) = 1/2

Step-by-step explanation:

For a triangle rectangle, we have the relation, for an angle θ.

Tan(θ) = Opposite cathetus/Adjacent catethus.

Here, the opposite cathetus to C is equal to 11 units

The adjacent cathetus to C is 22 units.

Then we have Tan(C) = 11/22 = 1/2

and we can not simplify it anymore, so this is the answer.

answer: 80,000

step-by-step explanation:

the population doubles every day.

10,000*2=20,000 day 4

20,000*2=40,000 day 5

40,000*2=80,000 day 6

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form