Answer:
c 3
Step-by-step explanation:
put the rise (change in y) over run (change in x)
find the difference between the y points: 2 and 8
8 minus 2 is 6, so that's your rise
then find the difference between your x points: 2 and 4
4 minus 2 is 2, so that's your run
rise / run = 6/2, which simplified is just 3
Answer:
See below.
Step-by-step explanation:
There is no statement given so we can only guess. There is a way of finding out.
Slope ZY = - 1/2
Slope XY = 2
Those two slopes (when multiplied) will equal - 1 (2 * -(1/2) = - 1). That is the definition of two lines meeting at right angles or one line being perpendicular to another.
46 - 4 = 3b + 3
Simplify the left side:
42 = 3b + 3
Subtract 3 from both sides:
39 = 3b
Divide both sides by 3:
b = 13
Answer:
6.3 ft
Step-by-step explanation:
The ladder lying on the wall with an elevation of 39° forms a right angled triangle.
Hypotenuse = length of ladder = 10 ft
Opposite = x = ?
θ = 39°
Use trigonometric ratio formula to find, x, which is how far the ladder goes up the wall.
The trigonometric ratio formula to use is:
sin(θ) = opposite/hypotenuse
Sin(39) = x/10
Multiply both sides by 10
10*sin(39) = x
x = 10*sin(39)
x = 6.29 ≈ 6.3 ft (to nearest tenth)