2/13 * 26 2/5
2/13 * 132/5
2 * 132= 264
13 * 5= 65
264/65 = 4 4/65
Answer:
The equations are:

Step-by-step explanation:
The ideal length of the bolt is 2.0 cm, since it has a tolerance of 4%, this means that length values between
and
are acceptable, because by those expressions the length of the bolt will be 4% higher or lower than it's original length. With this in mind let's find it's values:

-5 =

- 2
equals x = -4.
First, simplify

to

. / Your problem should look like: -5 =

- 2.
Second, multiply both sides by 4. / Your problem should look like: -20 = 3x -8.
Third, add 8 to both sides. / Your problem should look like: -20 + 8 = 3x.
Fourth, simplify -20 + 8 to -12. / Your problem should look like: -12 = 3x.
Fifth, divide both sides by 3. / Your problem should look like:

= x.
Sixth, simplify

to 4. / Your problem should look like: -4 = x.
Seventh, switch sides. / Your problem should look like: x = -4, which is your answer.
Answer:
Step-by-step explanation:
here is some helpful trig function reminders.. copy this and keep it
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
they ask how long is the ladder
they give us the opposite side (8) and the adjacent side (6)
and the Hyp is the length of the ladder. They expect you to sort this out in your head. :/
there is two steps .. we'll solve for the angle.. then we can use that to find the Hyp side..(long side of triangle) which is the ladder length
Tan(Ф) = Opp / Adj
Tan(Ф) = 8 / 6
Ф = arcTan(8 / 6)
Ф ≈ 53.130°
now lets use that angle with one of the other trig functions to find the Hyp.. sin or cos will work b/c we have both the opp and the adj sides lengths. let's use cos
Cos(53.130) = 6 / Hyp
Hyp = 6 / Cos(53.130) ( I just used algebra to swap the two)
Hyp = 9.99997
the ladder will be 10' long.
ask in the comments if you need any more explaining