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Anton [14]
3 years ago
10

Joe has 76 toothpicks. How many hexagons can he make in a row? Explain how you figured this out.

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
6 0

Answer:Students could also work backwards from 76 toothpicks to find the number of hexagons in a row. 6% could subtract out the first hexagon (76-6) and divide the remainder by 5 (70/5=14), but they forgot to add back on the original hexagon to get 15.

Step-by-step explanation:

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Which two square numbers have a difference of 51
atroni [7]
49 and 100 are the answers as 100-49=51 and they are both square numbers as 100 square rooted is 10 and 49 square rooted is 7 is that a good enough answer please tell in comments
3 0
3 years ago
Vectors: Find the vector from the point A=(−1,−7,3) to the point B=(3,−2,9).
devlian [24]

Answer:

\overrightarrow {AB} = (4,5,6)

1. 〈x,y,z〉=〈−1,−7,3〉+t〈−4,−5,−6〉 F

2. 〈x,y,z〉=〈−1,−7,3〉+t〈3,−2,9〉 F

3. 〈x,y,z〉=〈−1,−7,3〉+t〈4,5,6〉 T

4. 〈x,y,z〉=〈3,−2,9〉+t〈−1,−7,3〉 F

5. 〈x,y,z〉=〈3,−2,9〉+t〈4,5,6〉 F

Step-by-step explanation:

The vector AB is the vectorial difference between point A and B, that is:

\overrightarrow {AB} = \vec B - \vec A

Given that \vec A = (-1,-7,3) and \vec B = (3,-2,9), the vector AB is:

\overrightarrow {AB} = (3,-2,9)-(-1,-7,3)

\overrightarrow{AB} = (3-(-1),-2-(-7),9-3)

\overrightarrow {AB} = (4,5,6)

The vectorial equation of the line is represented by:

\langle x, y, z\rangle = \vec A + t \cdot \overrightarrow {AB}

Where t is the parametric variable, dimensionless. Given that \vec A = (-1,-7,3) and \overrightarrow {AB} = (4,5,6)

\langle x,y,z \rangle = \langle -1,-7,3 \rangle + t\cdot \langle 4,5,6 \rangle

Finally, the list of questions are now checked:

1. 〈x,y,z〉=〈−1,−7,3〉+t〈−4,−5,−6〉 F

2. 〈x,y,z〉=〈−1,−7,3〉+t〈3,−2,9〉 F

3. 〈x,y,z〉=〈−1,−7,3〉+t〈4,5,6〉 T

4. 〈x,y,z〉=〈3,−2,9〉+t〈−1,−7,3〉 F

5. 〈x,y,z〉=〈3,−2,9〉+t〈4,5,6〉 F

4 0
3 years ago
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the answer should be C

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A packing company needs to know how much cardboard will be required to make boxes 18 inches long, 12 inches wide and 10 inches h
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Answer:

40

Step-by-step explanation:

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4 years ago
Sam is d years old. Rupert's age is of Sam's age. lan is 15 years older than Rupert. If lan is 26 years old, a) write an equatio
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Answer: d = 11 bc 26 - 15 would equal 11

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