A. 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60 are factors of 60. 1 and 60 could be omitted as being trivial.
b. 10 books and 6 shelves if all shelves are used. 12 books and 5 shelves if one shelf is left empty. 15 books and 4 shelves if two shelves are unused. 20 books on 3 shelves. 30 books on 2 shelves.
c. 57 different arrangements.
d. 10 books: 1 arrangement; 12 books: 6 arrangements; 15 books: 15 arrangements; 20 books: 20 arrangements; 30 books: 15 arrangements. Total arrangements=1+6+15+20+15=57 arrangements.
e. 10 books on each of the 6 shelves.
They’re adjacent angles, they share a same side. And complementary angles because they add to 90
Answer:
A diameter basically means width of a circle. A radius is half the width. A chord means a line that goes from one edge of a circle to the other. A chord does not have to be width but is can be. Usually shorter than the width though
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
Given:
log₆(x) = 1
Now,
From the properties of log
logₓ (z)= 
(where the base of the log is equal for both numerator and the denominator)
also,
log(xⁿ) = n × log(x)
thus,
using the above properties, we can deduce the results as:
logₓ(y) = n is equivalent to y = xⁿ
therefore,
the given equation can be deduced as:
log₆(x) = 1
into,
x = 6¹
or
x = 6
