Answer:
20 square units
Step-by-step explanation:
If you were to graph the four points(creating a table on desmos is a good option) you would find that one side is 4 units long and the other is 5 units long. You multiply 4 times 5 to get that the area is 20 units squared. :)
Answer:
-2
Step-by-step explanation:
Subtract 10 on both sides:
6x +10= -2
-10 -10
6x = -12
Divide by 6 on both sides:
6x = -12
/6 /6
x = -2
36 feet + 9 feet
= 45 feet
You are correct! The distance from where Debbie and Andy are standing to the coral reef is 45 feet in total.
1) The measure of angle L is 70°<span>
The measure of all the angles of a triangle add up to 180</span>°. You're given two angle measurements: 90° (aka the right angle) and 20° (measure of ∠M). The third angle must be 180°-90°-20°= 70°.
2) The <span>
trigonometric ratio is</span>When you have a right triangle, you can use sine, cosine, and tangent to figure out the lengths of the sides or angle measurements if given enough information.
Remember SOHCAHTOA!
sinθ =
cosθ =
tanθ =
where θ is the angle you determine your adjacent and opposite sides from.
The adjacent side is next to the angle θ (and isn't the hypotenuse) and the opposite side is across from the angle θ. The hypotenuse is the longest side of the triangle and directly across from the 90° angle.
If you look at your picture, LN is opposite ∠M and NM (the angle you're looking for) is adjacent to ∠M, because it isn't the hypotenuse. That means the
trigonometric ratio you need is tangent, since tangent uses both opposite and adjacent.
3) The length of NM is 57.7.Finally solve for the length of NM using tanθ =
. You will be solving for the adjacent side, so start off by rearranging the tangent equation to solve for adjacent:
tanθ =
adjacent(tanθ) = opposite
adjacent =
Now, just plug in the values for θ and the length of the opposite side LN: