Answer: 1/4
(Decimal: 0.25)
Step-by-step explanation:
we are given
A spinner has six equal-sized sections numbered 1, 1, 2, 2, 3, and 4
Sample space:
the sample space of an experiment or random trial is the set of all possible outcomes or results of that experiment
so, we will only unique outcomes
so, sample space is
S={1,2,3,4}................Answer
The given angles are =
(x+40)° and 3x°
As the given angles are opposite to each other on the intersecting lines, so they are vertical angles. These are congruent or equal.
So, 
Hence x = 20°
The given angles are =
(x+40) = 20+40 =60°
3x = 3*20 =60°
Multiplication is a very old concept in math. So old that it dates back to ancient egypt, mesopotamia, etc. Each place probably came up with the concept on their own parallel to one another, or trade helped make the concept spread. It's very likely that the actual person who came up with the idea is unknown and won't be known since the concept is so ancient. It's like asking "who came up with the alphabet" which is an equally old concept.
Side note: multiplication is repeated addition. So if we added 3+3+3+3+3 to get 15, then we can say 3*5 = 12 as a shortcut. So its likely ancient peoples were adding the same number to itself over and over, leading them to develop a shortcut notation/method to get the answer quicker.
Answer:
The expression that represents the perimeter of the rectangle is "12*x + 18", where "x" is the length of the rectangle.
Step-by-step explanation:
In order to solve this question we were given an expression that relates both dimensions of the rectangle. This expression in a mathematical form where "x" is the length and "y" is the width is shown bellow:
y = 9 + 5*x
The perimeter of a rectangle is given by:
perimeter = 2*length + 2*width
perimeter = 2*x + 2*(9+5*x)
perimeter = 2*x + 18 + 10*x
perimeter = 12*x + 18
The expression that represents the perimeter of the rectangle is "12*x + 18", where "x" is the length of the rectangle.
