Tina does not have enough rope to decorate the frame
Step-by-step explanation:
Tina wants to decorate a rectangular picture frame
- The width of the frame is 18 inches
- The length of the frame is 14 inches
- She has 4 feet rope
We want to know if she has enough rope or not to decorate the frame
∵ The frame is in the shape of the rectangle
- The length of the rope must be equal the perimeter of the frame
∵ The perimeter of a rectangle = 2 length + 2 width
∵ The length = 14 inches
∵ The width = 18 inches
∴ The perimeter of the frame = 2(14) + 2(18) = 28 + 36 = 64 inches
∵ The length of the rope is 4 feet
∵ 1 foot = 12 inches
∴ The length of the rope = 4 × 12 = 48 inches
∵ 48 < 64
∴ The length of the rope is less than the perimeter of the frame
∴ Tina does not have enough rope
Tina does not have enough rope to decorate the frame
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If order matters, then there are 12 ways to do this
If order does not matter, then there are 6 ways to do this
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We have 4 choices for the first slot and 3 choices for the next (we can't reuse a letter) so that's where 4*3 = 12 comes from
If order doesn't matter, then something like AB is the same as BA. So we are doubly counting each possible combo. To fix this, we divide by 2: 12/2 = 6
To be more formal, you can use nPr and nCr to get 12 and 6 respectively (use n = 4 and r = 2)
Answer:
(5, 7 )
Step-by-step explanation:
Given 2 points (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]
here (x₁, y₁ ) = U(8, 9) and (x₂, y₂ ) = V(2, 5), thus
midpoint = [0.5(8 + 2), 0.5(9 + 5) ] = [0.5(10), 0.5(14) ] = (5, 7 )
Answer:
98
Step-by-step explanation:
option d..............
Answer:
-19
Step-by-step explanation: