Answer: 1/3
Step-by-step explanation:
We know that after dilation with scale factor k the coordinates of pre-image (x,y) map to (kx,ky) of the image.
From the given graph, the coordinate of A =(9,4) and the coordinate of A' (3,2)
Then
and 

Therefore, the scale factor of the dilation is 1/3.
Answer:
0.94 kg
Step-by-step explanation:
1kg = 1000 g
940 g = 0.94 kg
Answer:This number belongs to a set of numbers that mathematicians call rational numbers. Rational numbers are numbers that can be written as a ratio of two integers. ... square root of a number that is not a perfect square, for example , is irrational. ... The set of real numbers is all the numbers that have a location on the number ...
Step-by-step explanation:
Answer:
314 in² (nearest whole number)
Step-by-step explanation:
<u>Radius of a regular polygon</u>: The distance from the <u>center</u> of the polygon to any vertex. The radius of a hexagon is equal to the length of one side.
Therefore, from inspection of the given diagram:
- radius = 11 in ⇒ side length = 11 in
To find the area of a regular polygon, we first need to calculate the apothem. The <u>apothem</u> is the line drawn from the center of the polygon to the midpoint of one of its sides.

where:
- s = length of one side
- n = number of sides
Given:
Substitute the given values into the formula and solve for a:

<u>Area of a Regular Polygon</u>

where:
- n = number of sides
- s = length of one side
- a = apothem
Given:
Substitute the given values into the formula and solve for A:


