Answer:
Longest possible length for each of the shorter lengths of ribbon is 9 cm because greatest common factor for both 36 and 45 is 9.
Step-by-step explanation:
Alannah has two ribbons one length is 36cm and other is 45cm.
It asked to find shorter length of ribbons that each cut into equal pieces with out no ribbon left over.
So, let's find greatest common factor for both 36 and 45.
Let's prime factor each number
36= 2*2*3*3
45= 3*3*5
So, GCF is product of common factors for both numbers.
GCF= 3*3 =9
So, longest possible length for each of the shorter lengths of ribbon is 9 cm.
Learn more about GCF in brainly.com/question/21612147.
Hello,
a) | |PA|-π |>| |PB|-π | (see pic)
c) 3.14< x/113 <=π <22/7
==>3.14*113<x<22/7 * 113
==>354.82 <x < 355.14285
==>x=355
Answer 355/113=3,1415929203539823008849557522124
By definition, complementary angles are "two angles whose sum is equal to 90 degrees." This can be expressed using the following formula:
(Angle 1) + (Angle 2) = 90
Substitute any known values into the equation:
62.9 + (A2) = 90
Subtract 62.9 from both sides if the equation:
A2 = 27.1
The measure of the complementary angle (A2) is 27.1 degrees.
I hope this helps!
Answer:
1) a, the first printer
2) b, the second printer
Step-by-step explanation:
Answer:
$7.94
Step-by-step explanation:
We have been given that on January 4, Janelle Ruskinoff deposited $2192.06 in a savings account that pays 5.5 percent interest compounded daily. We are asked to find the amount of interest earned in 24 days.
We will use compound interest formula to solve our given problem.
, where,
A = Final amount after t years,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = time in years.
24 days in years would be
.

Upon substituting our given values in above formula, we will get:





To find amount of interest earned, we will subtract principal amount from final amount as:




Therefore, her money will earn approximately $7.94 in 24 days.