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:
I feel sorry that looks hard. see how do you like it. waiting for an answer and then someone finally answers. and there being a smart Butt
Step-by-step explanation:
Answer:
2(2n - 1)
Step-by-step explanation:
Let x = the number of books Theo has read
Then 4x = four times the number of books Theo has read.
And 4n - 2 = 2 less than four times the number of books Theo has read
But 4n -2 = the number of books Maya has read
Factor the expression
4n - 2 = 2(2n - 1)
The factored expression is 2(2n - 1).
Answer:
<1 and <3
Step-by-step explanation:
<span>6m + 1 = 23
Reorder the terms:
1 + 6m = 23
Solving
1 + 6m = 23
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + 6m = 23 + -1
Combine like terms: 1 + -1 = 0
0 + 6m = 23 + -1
6m = 23 + -1
Combine like terms: 23 + -1 = 22
6m = 22
Divide each side by '6'.
m = 3.666666667
Simplifying
m = 3.666666667 i think</span>
