Note: <em>It seems you mean a piece of string is 3.5 long. So, I am assuming that a piece of string is 3.5 cm long.</em>
Answer:
140 cm of the original piece is left after Joe cuts three pieces.
Step-by-step explanation:
Given the piece of string
As we know that
so the length of a piece of string = 350 cm
As joe cuts three pieces from it, and each 70 cm long.
so the total length of three pieces which were
cut by joe = 70cm + 70cm + 70cm = 210 cm
So, subtracting the total length of the three pieces that were cut from the total length of the string:
350 cm - 210 cm = 140 cm
Therefore, 140 cm of the original piece is left after Joe cuts three pieces from it.
Answer:
b)0, yes
Step-by-step explanation:
Given:
Vectors (4,8) . (6,-3)
Finding inner product of vectors:
= 4x6 + 8x-3
=24-24
=0
Now to check the angle between them using formula a.b=|a|.|b|cosθ
|a|= 
=8.9
|b|=
=6.7
Putting values of a.b=0 and |a|=8.9, |b|=6.7 in a.b=|a|.|b|cosθ we get,
0= 8.9(6.7)cosθ
cosθ =0
θ=90 degrees
Hence the two vectors are perpendicular !
Answer:
y = 2x+5
Step-by-step explanation:
Add y on both sides, this cancels out the y on the left side
add 2x and add 5 on both sides, this cancels out the -2x and the -5 on the left side.
<u>OR </u>
Divide/Multiply both sides by -1, as it will cancel out the negatives as two negatives make a positive.
If you needed a value for y, more info is needed.
hope this helps (:
please rate, thanks !
4. 1/4 because the denominator is larger than the numerator
