Your triangle has acute angles X and Y, and right angle Z.
For an acute angle A in a right triangle:
The sine is the ratio of the opposite leg to the hypotenuse.
sin A = opp/hyp
The cosine is the ratio of the adjacent leg to the hypotenuse.
cos A = adj/opp
The hypotenuse of a right triangle is the side opposite the right angle. It is the longest side of a right triangle. There is only one hypotenuse in a triangle, so there is no confusion with the hypotenuse.
The two sides that form the right angle are called the legs. Each leg is opposite an acute angle. The legs may or may not be congruent to each other, but each leg is always shorter than the hypotenuse. Since there are two legs, we need to be able to distinguish them. If you take an acute angle as your angle of interest, the leg that is part of the angle is called the adjacent leg. The other leg is the opposite leg. Adjacent leg and opposite leg are relative terms. They depend on the acute angle you are considering.
For your triangle, if you look at angle X, then the adjacent leg is side XZ. The opposite leg for angle X is side YZ.
Using the ratios mentioned above for sine and cosine, you get:
sin X = opp/hyp = sqrt(119)/12
cos X = adj/hyp = 5/12
<h3>
is the simplified expression</h3>
<em><u>Solution:</u></em>
Given that,
We have to simplify
We can simplify the above expression by combining the like terms
Like terms are terms that has same variable with same exponent and same or different coefficient
From given,
Group the like terms
Thus the given expression is simplified
Answer:
1,960
Step-by-step explanation:
35 times 56 = 1,960
35 is the base, to get the base you do length times width.
the height is 56. To get the volume do base (or length times width) times hight.
Hope that helps!
Answer:
Rotation 90⁰ clockwise about point (-1,-1)
<span>(x + 6y) − (3x − 10y)
= x + 6y -3x + 10y
= -2x + 16y
Value of A: -2</span>
