I believe X and Y are also 61°! Report me if I am wrong!
Answer:
C.
Step-by-step explanation:
Comparing the sides: 20 = 12 + 8.
The largest side must be less than the sum of the other 2 sides for there to be a triangle.
No triangle can have these dimensions.
option C <B = 54° ( answer is attached )
Answer:
Step-by-step explanation:
Consider the quadratic equation, we have
Dividing the equation by a, we get
Put on the other side,
Add on both the sides,
completing the square, we have
Now, solving for x,
Multiply right side by ,
which is the required quadratic formula.
When we are given a line cutting diagonally from one corner of a rectangle to the opposite corner, we are given two triangles.
300ft
____
| /|
| / |
| / |
| / |400ft
| / |
| / |
|/ |
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*not to scale
Now, using the right-angle trigonometry rule, we can find the hypotenuse (the diagonal line) which represents the footpath.
a^2 + b^2 = c^2
{where a is one side length, b is another side length, and c is the hypotenuse}
Thus, we make c the subject of the equation and substitute the other known values:
c^2 = 400^2 + 300^2
= 160,000 + 90,000
= 250,000
Now we move the 'squared' (^2) from the left hand side to the right hand side. When moving it across the equal sign (=) the result becomes the 'root' of itself:
c = _/250,000
= 500
Therefore, the length of the diagonal path is 500ft.