Answer:
Step-by-step explanation:
Distance between origin (0, 0) and point (x, y) is given as:
Answer:
<em>Cathy was born in 1980 and she was 18 years old in 1998</em>
Step-by-step explanation:
<u>Equations</u>
This is a special type of equations where all the unknowns must be integers and limited to a range [0,9] because they are the digits of a number.
Let's say Cathy was born in the year x formed by the ordered digits abcd. A number expressed by its digits can be calculated as
In 1998, Cathy's age was
And it must be equal to the sum of the four digits
Rearranging
We are sure a=1, b=9 because Cathy's age is limited to having been born in the same century and millennium. Thus
Operating
If now we try some values for c we notice there is only one possible valid combination, since c and d must be integers in the range [0,9]
c=8, d=0
Thus, Cathy was born in 1980 and she was 18 years old in 1998. Note that 1+9+8+0=18
Answer:
The width of the rectangular lid is 15 cm.
Step-by-step explanation:1. Let's review the information given to us to answer the question correctly:
Length of the ribbon used by Jun = 56 cmLength of the rectangular lid = 13 cm
2. What is the width of the lid? The ribbon used by Jun is equivalent to the perimeter of the rectangular lid, therefore:Perimeter = 2 * Length + 2 * WidthReplacing with the values we have:56 = 2 * 13 + 2 * Width56 = 26 + 2Width2Width = 56 - 262Width = 30Width = 30/2Width = 15
Answer:
<h2>( 6 , 7 )</h2>
Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
From the question we have
We have the final answer as
<h3>( 6 , 7 )</h3>
Hope this helps you
Step-by-step explanation: