Refer to the attachment for the visualization of the staircase that is 4 units tall and contains 10 unit squares.
This problem can easily be solved by using the formula for
arithmetic series. The formula is given by:
![S_{n}= \frac{n}{2}[2 a_{1}+(n-1)d]](https://tex.z-dn.net/?f=%20S_%7Bn%7D%3D%20%5Cfrac%7Bn%7D%7B2%7D%5B2%20a_%7B1%7D%2B%28n-1%29d%5D%20%20)
where S is the sum, n is the number of terms,
is the first term, and d is the common difference.
In the case of the problem, n is 4, the first term is 1, and the common difference is also 1. If you substitute these conditions to the formula, you'll get 10 square units.
Now for the extended staircase, we will have 12 number of terms since the staircase is now 12 units tall. The common difference and the first term will still be the same as the previous condition. We can solve for the unit squares it contains by substituting these values to the formula for arithmetic series:
![S_{12}= \frac{12}{2}[2(1)+(12-1)(1)]](https://tex.z-dn.net/?f=%20S_%7B12%7D%3D%20%5Cfrac%7B12%7D%7B2%7D%5B2%281%29%2B%2812-1%29%281%29%5D%20)
![S_{12}= 6[2+11]=6(13)=78](https://tex.z-dn.net/?f=%20S_%7B12%7D%3D%206%5B2%2B11%5D%3D6%2813%29%3D78%20)
ANSWER: The extended staircase would contain 78 unit squares.
We are given with the function that expresses the height of the football over time in the equation <span>h(x) = -16t^2 + 64t. To determine the axis of symmetry, we determine the time when it reaches the maximum height. we derive the equation and equate to zero to get t. -32t +64 = 0. t is equal to 2 seconds. Substituting, to the original equation, h(x) is 64. Hence the axis of symmetry is y = 32. </span>
Answer and explanation:
The hedging strategy is one where an individual is able to hold two opposing positions such that he is able to protect either position from profit or loss as each move in opposite directions. For example in this situation, if Sue wants to hedge her bets here, she would need to place a bet that there will be a quiz and also place a bet that there will be no quiz. In this way she uses up to $40, $20 for no quiz and $20 for a quiz. If for instance it goes in Torik's favour and there is no quiz, Sue loses $20 but also gets that $20 back. If it goes in Sue's favour, then she makes $60
To solve the given problem, we need to know the types of US coins. The given problem is one of the tricky problems. So lets find out
In the united states, there are six types of coins produced. Penny- 1 cent, nickel- 5 cents, dime- 10 cents, quarter- 25 cents, half dollar- 50 cents and dollar- 100 cents. So u should know these types to slove this know lets move on to the :
Answer and Explanation:
The given problem is a kind of a riddle. It is given that the total of two US coins is
30
cents.
One is not a nickel, But the other one can be a nickel=
5
cents. So, the first one coin is a quarter=
25
cents. Which gives the total
30
cents.
Therefore, the two coins are a nickel and a quarter.
<h3> Hope you understood it!!!</h3>
Answer:
Hello there! How are you doing? I am doing fine! I'll answer the question now.
So basically, your hunger would be satisfied with the 2 slices of 8 inches, because although one slice of 8 inches is two inches less than the 10 inch slice. But then you could add another 8 inch slice and it would make it greater and bigger than the one 10 inch slice itself. So in conclusion, the 2, 8 inch slices would be better than the 1, 10 inch slice because 16 inches is greater than 10 inches.
Hope this helped! Your welcome! I can help with other history stuff too! And byee! :)
Step-by-step explanation:
