Answer:
The angle W is approximately 7°.
Step-by-step explanation:
Since angle X is adjacent to sides y and w and opposite to side x, we calculate the length of side x by Law of the Cosine:
(1)
Where:
- Side lengths, in centimeters.
- Angle, in sexagesimal degrees.
If we know that 
, 
and 
, then the length of the side x is:
By Geometry we know that sum of internal angles in a triangle equals 180°. If X is an obtuse, then Y and W are both acute angles. By Law of the Sine we find angle W:
(2)
![W = \sin^{-1}\left[\left(\frac{w}{x} \right)\cdot \sin X\right]](https://tex.z-dn.net/?f=W%20%3D%20%5Csin%5E%7B-1%7D%5Cleft%5B%5Cleft%28%5Cfrac%7Bw%7D%7Bx%7D%20%5Cright%29%5Ccdot%20%5Csin%20X%5Cright%5D)
If we know that , and , then the angle W is:
Hence, the angle W is approximately 7°.
Answer:
2,075,673,600 batting orders may occur.
Step-by-step explanation:
The order of the first eight batters in the batting order is important. For example, if we exchange Jonathan Schoop with Adam Jones in the lineup, that is a different lineup. So we use the permutations formula to solve this problem.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
First 8 batters
8 players from a set of 16. So
Last batter:
Any of the four pitchers.
How many different batting orders may occur?
4*518918400 = 2,075,673,600
2,075,673,600 batting orders may occur.
Answer. Mass is a measurement of how much matter is in an object; weight is a measurement of how hard gravity is pulling on that object. Your mass is the same wherever you are, on Earth; on the moon; floating in space, because the amount of stuff you're made of doesn't change. hope this help.............
How many times does 5 go into 30 6 times with 2 left over add 6.2 into 5=11.2
the function is given, and it's value is where the object is ("how far to the right").
so as long as it rises (going more right), this will be apply.
in the screenshot I graphed the function. of course t is graphed as x and "along the x-axis" is graphed as y, but the pattern is the same anyways.
for the first 1.25 seconds the object goes to the left, and after that always to the right.
since we look at t to calculate x, t effectively takes the role of the important variable that is normally given to x. the calculation pattern are just the same. so let's find the lowest point of this function by calculating it out.
x(t) = 2t² – 5t – 18
x'(t) = 4t -5
x'(t) = 0
0 = 4t -5
5 = 4t
1.25 = t
plugging it into the second derivative
x''(t) = 4
x''(1.25) = 4
it's positive, so at t=1.25 there is a low point
(of course the second derivative is constant anyways.)
the object is traveling toward the right
the object is traveling toward the rightfor t > 1.25
