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Rufina [12.5K]
3 years ago
12

Kyle bought a sheet of lumber 8.7 feet long to build fence rails. He cut the strip into 3 equal pieces. How long is each piece?

Mathematics
1 answer:
forsale [732]3 years ago
6 0

Answer:

i believe its 2.9 feet. 2 feet 10 inches 51/64 of an inch

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On a coordinate plane, kite W X Y Z is shown. Point W is at (negative 3, 3), point X is at (2, 3), point Y is at (4, negative 4)
xz_007 [3.2K]

Answer:

P = 10 + 2\sqrt{53} units

Step-by-step explanation:

Given

Shape: Kite WXYZ

W (-3, 3),  X (2, 3),

Y (4, -4),  Z (-3, -2)

Required

Determine perimeter of the kite

First, we need to determine lengths of sides WX, XY, YZ and ZW using distance formula;

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

For WX:

(x_1, y_1)\ (x_2,y_2) = (-3, 3),\ (2, 3)

WX = \sqrt{(-3 - 2)^2 + (3 - 3)^2}

WX = \sqrt{(-5)^2 + (0)^2}

WX = \sqrt{25}

WX = 5

For XY:

(x_1, y_1)\ (x_2,y_2) = (2, 3)\ (4,-4)

XY = \sqrt{(2 - 4)^2 + (3 - (-4))^2}

XY = \sqrt{-2^2 + (3 +4)^2}

XY = \sqrt{-2^2 + 7^2}

XY = \sqrt{4 + 49}

XY = \sqrt{53}

For YZ:

(x_1, y_1)\ (x_2,y_2) = (4,-4)\ (-3, -2)

YZ = \sqrt{(4 - (-3))^2 + (-4 - (-2))^2}

YZ = \sqrt{(4 +3)^2 + (-4 +2)^2}

YZ = \sqrt{7^2 + (-2)^2}

YZ = \sqrt{49 + 4}

YZ = \sqrt{53}

For ZW:

(x_1, y_1)\ (x_2,y_2) = (-3, -2)\ (-3, 3)

ZW = \sqrt{(-3 - (-3))^2 + (-2 - 3)^2}

ZW = \sqrt{(-3 +3)^2 + (-2 - 3)^2}

ZW = \sqrt{0^2 + (-5)^2}

ZW = \sqrt{0 + 25}

ZW = \sqrt{25}

ZW = 5

The Perimeter (P) is as follows:

P = WX + XY + YZ + ZW

P = 5 + \sqrt{53} + \sqrt{53} + 5

P = 5 + 5 + \sqrt{53} + \sqrt{53}

P = 10 + 2\sqrt{53} units

6 0
3 years ago
Explain how to use the break apart strategy to find 247+358
KIM [24]
1. Set up the long addition.
  2 4 7
+3 5 8 
_______

2. Calculate 7+8, which is 15.
since 15 is two-digit, we carry the first digit 1 to the next column.
      1 
   2 4 7
+ 3 5 8 
________
          5
  
3. Calculate 4+5, which is 9. Now add the carry digit of 1, which is 10. Since 10 is two-digit, we carry the first digit 1 to the next column.
   1 1
   2 4 7
+ 3 5 8
________
       0 5

4. Calculate 2+3, which is 5. Now add the carry digit of 1, which is 6.
      1 1
      2 4 7 
    +3 5 8
    ______
      6 0 5

5. Therefore, 247 + 358 = 605.
   
               605
8 0
3 years ago
Read 2 more answers
2. Savannah recorded the average rainfall amount, in inches, for two cities over the course of 6 months.
egoroff_w [7]
A. 4 city b 6

B. City a, 8, when rounded 10
City b, 12, when rounded 10

C. City A. 2, 3.5, 4, 4, 5.5, 5..... so it's 4
City B. 3.5, 4, 5, 5.5, 6, 6..... so it's 5.25

Sorry if this all wrong. I'm bad at this kind of stuff lol
Good luck
4 0
3 years ago
Read 2 more answers
Daniel borrows $2,500 at 6% simple interest for 5 years. How much is daniel going to pay in interest. May I please get help I ha
Sergio039 [100]

Answer:

2500 x 6/100 = 150

150 x 5 = 750

2500 + 750 = 3 250

Step-by-step explanation:

You first have to determine the interest for one year. We know that a percentage means a 100 so we are going to use 6/100. You then have to multiple that by the original amount, you will then get your answer. After obtaining your answer your will multiple it by the number of years which is 5, once you get your answer add it to the original amount. Then you are all set.

5 0
3 years ago
Salvador just purchased his first home and wants a nice television. He plans to keep the television for several years and has no
adelina 88 [10]

Answer:

a Hitachi 50 plasma tv at 495 per month for 6

4 0
3 years ago
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