1/√2
Step-by-step explanation:
Imagine a right-angled triangle, for e.g. Triangle ABC,
Where
B = 90°
Remember your Toa Cah Soh.
sin 45° = opposite / hypotenuse
If theta = 45°
Angles A and C = 45° (Sum of angles in a triangle equal = 180°)
Since theta are the same, we can also deduce that the length AB and BC are the same.
Take for example AB = BC = 1 = opposite
By the Pythagorean theorem,
AB² + BC² = AC²
1² + 1² = AC²
2 = AC²
AC = √2 = hypotenuse
Therefore:
sin 45° = opposite / hypotenuse
sin 45° = 1/√2
Answer:
x>5
Step-by-step explanation:
> defines the dotted line while x determines where it is plotted and the side that is shaded
Nothing. Say that you substitute 3 for 'z.' 6(3) is the same as (3)6. Simple.
history politics questions and civics and Geography
Answer:
The correct answer would be C
Step-by-step explanation:
If you were to input the X and Y values of the two coordinates into equation C, you will see that the equation would be true for both coordinates, meaning that (4, -3) and (5, 0) are both points that are on the line Y + 3 = 3(X - 4).