Answer:
The area of the regular nonagon is 7921.8 square inches.
Step-by-step explanation:
Geometrically speaking, the area of a regular polygon is determined by following area formula:
(1)
Where:
- Area of the regular polygon, in square inches.
- Perimeter, in inches.
- Apothem, in inches.
If we know that 
and 
, then the area of the regular nonagon is:
The area of the regular nonagon is 7921.8 square inches.
8 cups pasta for 8/9 cups sauce
1 cup pasta for 1/9 cup sauce
9 cups pasta for 1 cup sauce
You can set up a proportion to solve for the percentage of the coins that are pennies. Of course, there are alternate methods as well, but this is one method. First, you define the percentage of the coins that are pennies to be equal to a variable, such as x. Next, you write 240/600 = x/100, due to how "x" is the amount out of 100 (since per cent is for every cent (out of 100)), and 240 would correspond to x while 600 would correspond to 100. This proportion may also be written as 100/x = 600/240, or 240/x = 600/100. In order to solve for x, you use cross-products, or you multiply each denominator by the numerator of the other fraction. You will be left with a numerical value that's equal to a number times x, and then you divide both sides of the equation by the coefficient of x in order to isolate x. As a result, you will have the percentage of the coins that are pennies to be your answer. Remember to write the units for every numerator and denominator in your proportion.
Answer:
No
Step-by-step explanation:
Two samples are matched pairs if the samples are dependent sample. All the attributes or characteristics of these samples are the same except the one thing which we need to study or experiment.
The given samples are independent samples. So, these these two sample are not matched pair samples. Such samples cannot be used to perform the paired sample t test. For this test the samples must always be dependent.
Example of dependent or matched pairs samples under given scenario would be like:
The instructor teaches a section in one semester using the computer homework system and in the next semester he teaches the same section using the paper and pencil homework system.
Usually the pairs in matched pairs are the same people just at different time, as stated in the previous example.
45 adult tickets were sold.
adult tickets = a
childrens tickets = b
a + b = 65
6a + 3.5b = 340
Subtract a from the equation on top to get b = 65 - a
Substitute into the second equation 6a + 3.5(65 - a) = 340
Simplify to make 6a + 227.5 - 3.5a = 340
6a - 3.5a = 340 - 227.5
Combine like terms so that 2.5a = 112.5
Divide both sides by 2.5 to isolate the variable a
Your final answer is a = 45
