The solution is x < 3.
Solution:
The given expression is 3x + 4 < 13.
To solve the given inequality.
3x + 4 < 13
Subtract 4 tiles on both sides of the inequality.
⇒ 3x + 4 – 4 < 13 – 4
⇒ 3x < 9
Divide by 3 tiles on both sides of the inequality.
⇒
⇒ x < 3
Hence the solution is x < 3.
By using trigonometric relations, we will see that:
AC = 15.6 in
AB = 8.4 in.
<h3>How to get the measures of the other two sides of the right triangle?</h3>Here we have the right triangle where:
B = 90°
C = 40°
BC = 10 in.
Notice that is the adjacent cathetus to the angle C, then we can use the two relations:
Where:
Then we will have:
sin(40°) = 10in/AC.
AC = 10in/sin(40°) = 15.6 in
tan(40°) = AB/10in
tan(40°)*10in = AB = 8.4 in.
So we can conclude that for the given right triangle we have:
AC = 15.6 in
AB = 8.4 in.
If you want to learn more about right triangles:
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