Suppose a cube is given.How many non-congruent triangles can be formed by connecting 3 of the vertices of the cube?

Answers

Answer 1

Answer:

Answer:

The number of non-congruent triangles that can be formed from the vertices of a cube are 3 triangles

Step-by-step explanation:

The number of non congruent triangles that can be formed by connecting 3 of thee vertices of the cube is found as follows;

The available different lengths of segments joining two vertices of a cube of side length s = 2 are;

2, 2·√2, and 2·√3

Therefore, since there are only three different side lengths we have the possible triangle dimensions given as follows

Distinct triangle one = 2, 2, 2·√2

Distinct triangle two = 2·√2, 2·√2, 2·√2

Distinct triangle three = 2, 2·√3, 2·√2

Therefore, there are ₃C₃ = 3 ways of forming three non-congruent triangles from the vertices of a cube.

Related Questions

Selma hypothesizes that the mass of a sample of water will not change if it is frozen. She conducts an experiment to test her hypothesis. Her experimental steps are as follows:1. Fill a beaker with 500 mL of water.2. 3. Place the beaker in the freezer.4. After the water freezes, place the beaker on the balance and measure its mass.Which of the following steps is missing from Selma's experiment?Place the beaker on the balance and measure its mass.Run the water through a filter to make sure there are no impurities in it.Set a timer for 2 hours.Use a thermometer to measure the water's temperature.
What is the point-slope form of the equation of a line that passes through the point (1, 4) and has a slope of −3?A. Y - 1 = -3 (X - 4)B. Y + 4 = 3(X + 1)C. Y + 4 = -3 (X + 1)D. Y - 4 = -3 (X - 1)
You need 2 eggs for a muffin recipe that makes 12 muffins. If you want to make 36 muffins, what should you do?
Explain how to estimate 586 - 321 two different ways
Can someone please help me out!! An employer offers a health insurance plan with a monthly premium of $450. The employer pays 60% of the premium. How much of the monthly premium is the employee responsible for?$270$180$60$40

Which sequences are geometric? Check all that apply. –2, –4, –6, –8, –10, … 16, –8, 4, –2, 1 –15, –18, –21.6, –25.92, –31.104, … 4, 10.5, 17, 23.5, 30, … 625, 125, 25, 5, 1, …

Answers

The sequences which are geometric are;

–8, 4, –2, 1

-15, –18, –21.6, –25.92, –31.104

625, 125, 25, 5, 1,

A sequence is geometric if successive terms of the sequence differ by a given factor r.

In the question;

Geometric Sequence:

–8, 4, –2, 1. has a common ratio,r = (-1/2)

-15, –18, –21.6, –25.92, –31.104 has a common ratio, r = (1.2)

625, 125, 25, 5, 1 has a common ratio, r= (1/5)

brainly.com/question/9300199

Given sequences :

–2, –4, –6, –8, –10,...

16, –8, 4, –2, 1 , ......

–15, –18, –21.6, –25.92, –31.104, …

4, 10.5, 17, 23.5, 30, …

625, 125, 25, 5, 1, ….

Let us find the ratios.

–2, –4, –6, –8, –10,...

First sequence is just being decreased by -2. So it would be an Arithmetic sequence.

16, –8, 4, –2, 1 , ......

16/-8 = -2 and 4/-2 = -2.

In second sequence we got common ratio -2. Therefore, it's a geometric sequence.

–15, –18, –21.6, –25.92, –31.104, …

-15/-18 = 0.833

–21.6/ -18 = 0.833.

In second sequence we got common ratio 0.833. Therefore, it's a geometric sequence.

4, 10.5, 17, 23.5, 30, …

10.5/4 ≠ 17/10.5

Ratios are not same. So, it's not a geometric sequence.

625, 125, 25, 5, 1, ….

125/625 = 0.2 = 25/125.

In fourth sequence we got common ratio 0.2. Therefore, it's a geometric sequence.

a small airplane used 5 2/3 gallons of fuel to fly a 2 hour trip how many gallons were used each hour

Answers

2.83 gallons were used per hour

Which of the following are solutions to the equation below?

Answers

Answer:

5 and -5 would be your answers

Step-by-step explanation:

Answer:

5 and - 5

Step-by-step explanation:

x² - 25 = 0

x² = 25

x = + or - √25

x = + or - 5

x = 5 or x = - 5

I hope I helped you.

On a test with 25 questions,Al got 80% correct.How many questions did he get correct

Answers

Answer:

Step-by-step explanation:

8×25 means that he got 5 wrong so he got 20 right

Answer:

The answer is 20.

Step-by-step explanation:

First step is to turn the 80% into a decimal. So place a decimal twice to the left to make it .80. Then, multiply 20 by .80. Upon that, you get your answer.

Harry purchased some fruits and sold 1/2 of them at a gain of 60% and 1/4 of them at again of 20%, the rest were spoiled. Find his gain or loss percent on the whole.