Answer:
12 pieces each:
Step-by-step explanation:
Given
-- first string
--- second string
Required
Determine the number of equal pieces
To do this, we first calculate the HCF of the length of both pieces 
The HCF is:
<em>Hence, he can cut both strings to 12 pieces each</em>
<em></em>
<em>Recall that </em>
<em>The first string can then be cut in to 3 inches each (i.e. 36/12)</em>
<em>The first string can then be cut in to 4 inches each (i.e. 48/12)</em>
When simplifying you need to be able to divide both the top and bottom number in the fraction by one of their factors. A number will be fully simplified when they become a prime number or have one as the numerator.
2/5+3/8= 31/40 therefore he still has 9/40 to go.
to get this you multiply the two denominators together
5x8=40 which is your denominator
then you cross multiply the two numerators
2x8=16
3x5=15
to get the final
15/40+16/40=31/40
and you are left with 9/40
A chart would include
x, y
-2, 0
-1, 1
0, 2
1, 3
2, 4
The graph would look like this (Image attached)
Answer:
17.3
Step-by-step explanation:
a² = b² + c² - 2bc cos A
t² = 11² + 14² - 2(11)(14) cos 87
t² = 121 + 196 - 308 (.052336)
t² = 300.88
t = 17.3
