Answer:
- Inverse Variation
- Equation:
Step-by-step explanation:
Given
X-> 2 | 4 | 8 | 12
Y-> 6 | 3 | 3/2 | 1
Required
- State the type of variation the table represents
- Determine the equation to model the data
To check for type of variation; we'll make use of trial by error method.
To start with; We'll check for direct variation.
This is done using the following expression;
where k is the constant of variation
Make k the subject of formula
When Y = 6, X= 2
When Y = 3, X = 4
There's no need to check further as both values of k are not equal
To check for inverse variation;
Make k the subject of formula
When Y = 6, X= 2
When Y = 3, X = 4
When Y = 3/2; X = 8
When Y = 1, X = 12
Note that for all values of X and Y, K remains constant;
Hence, the table represents an inverse direction
To determine the equation;
We make use of
Substitute 12 for k
So, the equation becomes
Reorder
Hence, the equation is
Answer:
720 degrees.
Step-by-step explanation:
The sum of the interior angles of a convex polygon with n sides is
180(n - 2) degrees.
In this case, n = 6 sides, so the angle sum is
180(6 - 2) = 180(4) = 720 degrees.
The reason this works is that if you draw a diagonal from one vertex to the others (see attached image), you get 2 fewer triangles than the number of sides. Each triangle contains a total of 180 degrees, so the total of all the interior angles is 180(n - 2).
Answer: D, Y, X
<u>Step-by-step explanation:</u>
The (salad, sandwich) coordinates are as follows:
A: (0, 10)
B: (1, 8)
C: (2, 6)
D: (3, 4) MOST EQUAL AMOUNTS
E: (4, 2)
F: (5, 0)
X: (4, 8) OUTSIDE OF THE PRODUCTION LINE
Y: (1, 3) UNDER THE PRODUCTION LINE
Answer:
She needs 4 yards.
Step-by-step explanation:
To multiply fractions, you just multiply the whole number by the numerator of the fraction.
<em>The numerator is the top number of a fraction.</em>
<em>The denominator is the bottom number of a fraction.</em>
You can think of the whole number 6 as the fraction 6/1.
<h3>Step 1</h3>
Multiply 6/1 by 2/3
6x2=12
1x3=3
So, 6/1x2/3=<u>12/3</u>
<u></u>
<h3>Step 2</h3>
Now you need to simplify the fraction
Because the numerator is a muliple (number that can be devided by) of 3, devide the numerator by the denominator.
12÷3=4
<h2>
So betty needs 4 yards of fabric to make 6 skirts.</h2>