If you learned about the 45-45-90 triangle (which is isosceles), then the faster way is to know that the hypotenuse (side opposite of right angle) is √2 times either one of the sides.
3√2 = (√2)x
x = 3
But if you didn't learn the 45-45-90 triangle yet, that's ok.
Recall the trigonometric ratios for right triangles: sine (sin), cosine (cos), tangent (tan).
If your angle is x, then
sin(x) = opposite side / hypotenuse
cos(x) = adjacent side / hypotenuse
tan(x) = opposite side / adjacent side
Remember the hypotenuse is the side opposite and across from the right angle (3√2 in this case).
An acronym to remember this is SohCahToa.
In this problem, the angle given is 45°, and you need to find the length of the adjacent side x. The hypotenuse is also given as 3√2.
Because we have the adjacent side and the hypotenuse, we use cosine to relate those two sides
cos(45°) = x / (3√2)
x = (3√2)cos45°
If you plug this into your calculator (in degree mode), then
x = 3
Answer:
x=0.8
Step-by-step explanation:
-5x + 4= 0
-4 -4
-5x=-4
÷5
-x=-0.8
x=0.8
Answer:
x = 35 degrees
Step-by-step explanation:
the little box on the left side of the ttriangle means that is a 90 degrees angle.
So you add 55 + 90 = 145
Then subtract 180 - 145
which gives you 35
Answer:
Step-by-step explanation:
1) Replace f(x) with y: y = 19/x^3
2) Interchange x and y: x = 19/y^3
3) Solve this result for y: xy^3 = 19, or y^3 = 19/x, or
y = ∛[19/x]
-1
4. Replace this y with the label f (x) = ∛[19/x]
