500 because in a normal distribution 50% of the total falls below the mean
Answer:
x = 30° and 330°
Step-by-step explanation:
Assuming the intervals is {0 , 2π} or {0° , 360°}
So it means it lies in the 2nd and 4th quadrant because tangent is negative in the 2nd and 4th quadrant
so the two solutions are
x = 30° and 330° or
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
Answer:
14 cm.
Step-by-step explanation:
We have been given that an aquarium is a right rectangular prism 18.5 cm long and 15 cm wide. We are also told that Martene put 3885 cubic cm of water in the aquarium.
To find the depth or height of aquarium, we will use volume of rectangular prism formula.
, where,
l = Length of prism,
w = Width of prism,
h = Height of prism.
Upon substituting our given values in above formula we will get,
Therefore, the aquarium is 14 cm deep.
