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inysia [295]
3 years ago
8

Artemis has six boards cut in various lengths as shown she wants to use three of them to frame a triangular window in her new cl

ubhouse how many unique triangles can Artemis make with the lengths she has
Mathematics
1 answer:
SOVA2 [1]3 years ago
3 0

Question:

The sizes of the length of the boards are as follows;

Number of boards with length, 2 ft   = 2

Number of boards with length, 6 ft   = 2

Number of boards with length, 9 ft   = 2.

Answer:

The answer to the question is;

The number of unique triangles Artemis can make with the lengths she has is four.

Step-by-step explanation:

The sizes of the six boards are as follows

2 by 9 ft length boards

2 by 6 ft length boards

2 by 2 ft length boards

Therefore since the sum of the lengths of the other two sides of a triangle must be greater than the third side, we have the following possible unique triangles

9 ft by 9 ft by 6 ft ........(1)

9 ft by 9 ft by 2 ft ........(2)

6 ft by 6 ft by 9 ft ........(3)

6 ft by 6 ft by 2 ft ........(4)

Therefore we have four unique triangles.

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5 0
2 years ago
The total length of the stage is 76 feet. If the trap doors are centered across the stage, what is the distance from the left si
Luden [163]

since the distance from the outside edges is 26 1/2 feet, divide that by 2 to get the distance from the center to the edge ( 26 1/2 / 2 = 13 1/4 feet)

 the stage is 76 feet so divide that by 2 to find the center 76/2 = 38 feet

 now subtract the 13 1/4 from 38

38 - 13 1/4 = 24 3/4 feet from the side of the stage to the edge of the trap door


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8 0
3 years ago
The work of a student to solve the equation 3(3x − 4) = 8 + 2x + 5 is shown below: Step 1. 3(3x − 4) = 8 + 2x + 5 Step 2. 6x − 7
Mamont248 [21]

Answer:

  (a)  Step 2. 9x -12 = 13 +2x

Step-by-step explanation:

The distributive property says a factor outside parentheses multiplies each term inside parentheses. It is an error to do addition of the factor, or to miss multiplying a term.

In Step 2 of this "solution", the factor of 3 is erroneously <em>added</em> to each coefficent inside parentheses. It should be <em>multiplied</em>.

Correct Step 2: 9x -12 = 13 +2x

__

The rest of the solution should be ...

  Step 3: 9x -2x = 13 +12

  Step 4: 7x = 25

  Step 5: x = 25/7

___

<em>Check</em>

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Step-by-step explanation:

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3 years ago
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If a car is traveling at 50kph, how long would it take for the car to travel 12.5km?
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Answer:

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Step-by-step explanation:

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3 years ago
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