Hi!
Rules for solving 30-60-90 triangles are as follows:
* The hypotenuse is double the short leg.
* The short leg times √3 is the long leg
To solve then, we divide 4√21 by √3 and get 4√7. That is x, and to get y we multiply by 2. That is 8√7.
Hope this helps! :D
Answer: 0.1010052
Step-by-step explanation:
Given : Significance level : 
Alternative hypothesis : 
The test statistic value : 
Since , the alternative hypothesis is two-tailed, so the test is a two-tailed test.
Using standard normal distribution table for z, we have
The P-value of two-tailed test will be :-
Hence, the P-value = 0.1010052
Answer:
3/6 or 1/2
Step-by-step explanation:
1, 2, 3, 4, 5, 6
3 odd #s and 3 even #s
3/6 are odd which means 3/6 probability of rolling an odd #
A rigid motion is any motion that doesn't deform the original shape - it's a motion that preserves the lengths and angles of a shape without stretching, squishing, or bending anything. The best way to think about rigid motions is to imagine holding something solid in your hand, like a smartphone. How can you move it around? You can <em>rotate</em> it around in your hand, changing its orientation; you can move your hand around through space, changing the smartphone's position. While it may not seem like a motion, you can also hold it up to a mirror, <em>reflecting </em>it in some way. These three transformations, rotation, translation (shifting position), and reflection, are the three primary rigid motions.
