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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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Archy [21]
Hello!

Since angle AFB is congruent to angle DFE we know that the angles that use the midpoint are also congruent

The answer is D) angle BFC is congruent to angle DFC

Hope this helps!
8 0
3 years ago
Let P = 0.5 0.1 0.5 0.9 be the transition matrix for a Markov chain with two states. Let x0 = 0.5 0.5 be the initial state vecto
max2010maxim [7]

Answer:

Complete solution is given in the images attached below for better demonstration

7 0
3 years ago
Rachel is getting a sundae where the cost is proportional to the weight of the sundae she makes. last time rachel went she bough
Ivan

Using proportions, the cost of the 17-ounce sundae is of $5.95.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Considering the 12-ounce sundae bought for $4.2, the cost per ounce is given by the following proportion:

$4.2/12 = $0.35.

Hence the cost of a 17-ounce sundae is:

$0.35 x 17 = $5.95.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

6 0
2 years ago
A vendor sells hot dogs and bags of potato chips. A customer buys 4 hot dogs and 5 bags of potato chips for $15.50. Another cust
Anna007 [38]

Let <em>h</em> represent the cost of hot dogs and <em>p</em> represent the cost of potato chips.

Customer 1: 4h + 5p = 15.50   ⇒   3(4h + 5p = 15.50)   ⇒   12h + 15p = 46.50

Customer 2: 3h + 2p = 9.00    ⇒  -4(3h + 2p = 9.00)   ⇒ <u>  -12h -  8p = -36.00</u>

                                                                                                         7p = 10.50

                                                                                                           p = 1.50

Customer 2: 3h + 2p = 9.00   →   3h + 2(1.50) = 9.00   →   3h + 3.00 = 9.00   →   3h = 6.00   →   h = 2.00

Answer: hot dog = $1.50, potato chips = $2.00

3 0
3 years ago
Jovan has $14,000 in a savings account. The savings collect interest at a 7% annual rate that compounds every year. How much mon
wel

Answer:

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Step-by-step explanation:

8 0
3 years ago
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