Given parameters:
Length of the gift box = 8 inches
Width of the box = 3 inches
Height of the box = 4 inches
Unknown :
Length of its longest diagonal = ?
Solution:
This is a rectangular box.
To find the diagonal of such box, let us use the formula below;
Diagonal = 
l is the length
w is the width
h is the height
Input the parameters and solve;
Diagonal = 
= 9.4inches
The diagonal of the box is 9.4inches
Answer:
5 friends
Step-by-step explanation:
Candy pieces = 60
Chocolate = 45
What should be the smallest number of her sister's friends for the distribution of candy and chocolate so each friend gets an equal number of candy pieces and chocolates in a way that there should not be left any chocolate or candy pieces left over?
To calculate this, find the lowest factor of 60 and 45
60:
Factors = 2, 4, 5, 6,
45:
Factors= 3, 5, 9
The lowest common factor of 60 and 45 is 5
The smallest number of her sister's friend so each person get an equal number of candy pieces and chocolate so there won't be any leftover is 5
That is
If there are 5 friends at the birthday party
60 candy pieces among 5 friends
= 60/5
= 12 pieces each
45 chocolate among 5 friends
= 45/5
= 9 each
Step 1. Isolate the variable x:
Step 2. Use the simplified inequality to graph:
- Select an OPEN point on x = -5
- Select a ray extending from -5 to positive infinity (GREATER than -5)
I hope this helps!
