To solve this problem you must apply the proccedure shown below:
1. You have that:
- T<span>he equation d=1/2(n(n-3)) gives the number of diagonals for the polygon.
- The polygon that has 65 diagonals..
2. When you clear n, you obtain:
d=n(n-3)/2
d=(n^2-3n)/2
2x65=n^2-3n
n^2-3n-130=0
3. When you solve the quadratic equation, you obtain:
n=13
Therefore, the answer is: 13 sides. </span>
Given:
long stick: 3 4/5 feet
short stick: 3 1/2 feet
convert mix fractions into improper fractions:
3 4/5 = (3*5)+4/5 = 19/5 long stick
3 1/2 = (3*2)+1/2 = 7/2 short stick
19/5 - 7/2 ⇒ (19/5 * 2/2) - (7/2 * 5/5) = 38/10 - 35/10 = (38 - 35)/10 = 3/10
3/10 feet should be cut from the longer stick so that the two walking sticks will be the same length.
3 4/5 ft = 45.6 inches long stick
3 1/2 ft = 42 inches short stick
3/10 ft = 3.6 inches to be cut from long stick
45.6 inches - 3.6 inches = 42 inches
Answer:
100.7%
Step-by-step explanation:
Since the interest is compounded quarterly, and there are 4 quarters per year, that would leave us with 32 quarters total where interest is acquired. Now, we need to find the interest rate, that would be required in order to end up with 420 dollars after 32 quarters.
We can setup a formula using our period of time and the money he invested into the bank:
We can divide 340 from both sides, and simplify the right side to 21 divided by 17:
Taking the 32th root of 21/17 is equal to 1.00662, which is equal to 100.0662%. To the nearest tenth of a percent, this is equal to 100.7%.
Answer: 3 because 2 *4= 20, which leaves over 3
Step-by-step explanation:
The bag costs $3.60 so if you divide it by 6, for the six ounces, you get $.60, which is the price per ounce. So, for a two ounce bag, you have to multiply the price per ounce by the number of ounces, $.60 X 2= $1.20. So the price of a 2-ounce bag would probably be $1.20.
