By using the associative property [(5*3)*12] is equal to
[5*(3*12)] .
Option (A) is correct .
Step-by-step explanation:
Definition of associative property of multiplication
Let us assume that x , y and z be the three real numbers .
x × (y × z ) = (x × y) × z
This is called the associative property .
As given the expression be as follow
= [(5*3)*12]
Here
x = 5 , y = 3 , z = 12
By using the associative property
[(5*3)*12] = [5*(3*12)]
Therefore by using the associative property [(5*3)*12] is equal to
[5*(3*12)] .
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Answer:
1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-(-1))/(2-(-2))
m=(3+1)/(2+2)
m=4/4
m=1
Rotated: The figure can be rotated 2 times. Angle of Rotation: 180
∘
Answer:
the largest angle of the field is 149⁰
Step-by-step explanation:
Given;
perimeter of the triangular filed, P = 120 m
length of two known sides, a and b = 21 m and 40 m respectively
The length of the third side is calculated as follows;
a + b + c = P
21 m + 40 m + c = 120 m
61 m + c = 120 m
c = 120 m - 61 m
c = 59 m
B
↓ ↓
↓ ↓
↓ ↓
A → → → → → → → → → → → C
Consider ABC as the triangular field;
Angle A is calculated by applying cosine rule;

Angle B is calculated as follows;

Angle C is calculated as follows;

Therefore, the largest angle of the field is 149⁰.
Answer:
1) Compares data that are in categories
2) Organises data into 4 groups of equal sizes and is often used to compare two sets of data.
3) Used to see trends in data.
4) Shows changes over time.
5) Shows the frequency of data using equal intervals with no space between the bars.
Step-by-step explanation:
1) Bar graph is used to compare data that are in categories
2) Box and whisker plot is used to organise data into 4 groups of equal size.
3) Line graph is basically used to see different trends.
4) Scatter plot is used to show changes that have occurred over time
5) Histogram is used to show the frequency of data using equal intervals with no space between the bars.