Calculate x to correct 1 decimal place

x = 6.4 cm

explanation:

opposite/adjacent = tan(52)

opposite = 5 * tan(52)

opposite, x = 6.4 cm

Step-by-step explanation:

tan(50) * y = x

both expressions are equal to x, so both expressions must be equal to each other.

you get tan(25) * (y + 10) = tan(50) * y

simplify to get tan(25) * y + tan(25) * 10 = tan(50) * y

subtract tan(25) * y from both sides of the equation to get:

tan(25) * 10 = tan(50) * y - tan(25) * y

factor the right side of the equation to get:

tan(25) * 10 = y * (tan(50) - tan(25))

divide both sides of the equation by (tan(50) - tan(25)) to get:

tan(25) * 10 / (tan(50) - tan(25)) = y

solve for y to get y = 6.427876097

since you know that tan(50) = x/y, then solve for x to get x = y * tan(50).

this results in x = 7.660444431

round it to 1 decimal place and your solution is that : 7.7

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.