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KatRina [158]
3 years ago
14

Mr. Trainer is building a bookcase. He has two wooden boards that are each 8 feet long. He needs to cut the wooden boards into p

ieces that are 16 inches long. What is the greatest number of 16-inch pieces that Mr. Trainer can cut from the two wooden boards? (1 foot = 12 inches)
Mathematics
1 answer:
love history [14]3 years ago
8 0

Answer:

12

Step-by-step explanation:

Length of one of the boards = 8 feet

Converting to inches

1\ \text{foot}=12\ \text{inches}\\\Rightarrow 8\ \text{feet}=8\times 12=96\ \text{inches}

One cut is 16 inches

So, we divide the length of the board by 16

\dfrac{96}{16}=6

So, one board is cut into 6 pieces.

The other board is also 8 feet long.

So, the number of pieces the other board is cut into is also 6.

Hence, a total of 6+6=12 pieces of each 16 inches long can be cut from the two boards.

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Gunther's starting weight is 248 pounds, and he plans to lose 2 pounds each week. Use a linear equation to determine Gunther's w
forsale [732]
Here is the linear equation
Let p = total pounds
Let w = number of weeks

248p - 2w= 10
Hope that helps :)
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3 years ago
Which of the following are the building blocks of geometry, according the to Hilbert
Tomtit [17]
Point, line, and plane
4 0
4 years ago
Find the measure of the missing angles.
ryzh [129]

Answer:

d = 69° , e = 32° , f = 79°

Step-by-step explanation:

d and 69° are vertically opposite angles and are congruent , so

d = 69°

e and 32° are vertically opposite angles and are congruent , so

e = 32°

69° , e , f lie on a straight line and sum to 180° , that is

69° + 32° + f = 180°

101° + f = 180° ( subtract 101° from both sides )

f = 79°

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2 years ago
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mr_godi [17]

Answer:

l neem sum more info to answer just email me and we can get this done

Step-by-step explanation:

3 0
3 years ago
A triangle has vertices at (-1,5), (4,2), and (0,0). What is the perimeter of the triangle
yan [13]

The perimeter of the triangle is 15.4 units.

<u>Step-by-step explanation:</u>

The triangle has vertices at (-1,5), (4,2), and (0,0).

To find the perimeter of the triangle, you need to find the distance of the three points which is the length of the three sides of the triangle.

Let us consider the points as A (-1,5) and B (4,2) and C (0,0).

<u>The distance formula is given by :</u>

⇒ \sqrt{(x2-x1)^{2}+(y2-y1)^{2}  }

<u>Distance of AB :</u>

A (-1,5) ⇒ (x1,y1)

B (4,2) ⇒ (x2,y2)

⇒ \sqrt{(4+1)^{2}+(2-5)^{2}  }

⇒ \sqrt{5^{2}+-3^{2}  }

⇒ \sqrt{25+9}

⇒ \sqrt{34}

⇒ 5.8

∴ The length of the side AB of the triangle is 5.8 units.

<u>Distance of BC :</u>

B (4,2) ⇒ (x1,y1)

C (0,0) ⇒ (x2,y2)

⇒ \sqrt{(0-4)^{2}+(0-2)^{2}  }

⇒ \sqrt{16+4  }

⇒ \sqrt{20}

⇒ 4.5

∴ The length of the side BC of the triangle is 4.5 units.

<u>Distance of CA :</u>

C (0,0) ⇒ (x1,y1)

A (-1,5) ⇒ (x2,y2)

⇒ \sqrt{(-1-0)^{2}+(5-0)^{2}  }

⇒ \sqrt{1+25}

⇒ \sqrt{26}

⇒ 5.1

∴ The length of the side CA of the triangle is 5.1 units.

Now, the perimeter of the triangle is given by :

Perimeter = Sum of the lengths of all three sides of the triangle.

⇒ 5.8 + 4.5 + 5.1

⇒ 15.4 units.

∴ The perimeter of the triangle is 15.4 units.

4 0
3 years ago
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