I hope this helps you
Pythagorean
hypothenus ^2=base^2+height ^2
hypothenus ^2=15^2+20^2
hypothenus ^2=225+400
hypothenus ^2=625
hypothenus ^2=25
The jogger moves 5.4 mph / 60 = 0.09 miles per minute.
The 0.09 miles have to be divided by the length of one step.
Move the decimal to the left until it is right after the first non zero digit.
Count the number of place values the decimal has moved as it will be used later.
We now have 1.304 x 10^x (scientific notation standard format)
The x should be filled in with the amount of place values moved, which in this case is 9.
Final answer: 1.304 x 10^9
x – 2y = 4
ax– 6y = 12
The second equation must has a value for a that makes the second equation equal to the first. In other words a has to be something that divides through the second equation to get the first.
The easiest way to proceed is to look at the right hand side. One equation has 12 on the right. The other has 4. What do you have to do to 12 to get it down to 4. I suppose you could subtract 8, but that would not apply to the left side.
The answer is divide 12 by 3.
If you do that then the 6 is divided by 3.
Find a
Now you need to consider a's value. It is either 1 or 3. If you choose 1, you will not be able to divide properly: dividing by 3 will leave you with 1/3.
The thing you must do is make a = 3
The second equation then becomes
3x - 6y = 12 Divide everything by 3
x - 2y = 12/3 = 4
Answer: a = 3
Answer:
The two events are independent
Explanation:
Since the king was placed back in the deck and the deck was re-shuffled,
the drawing of a king does not effect the probability of subsequently drawing a queen.