1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vovangra [49]
3 years ago
11

In how many ways can we choose one number from the set $\{1,2,3\}$, one number from the set $\{4,5,6\}$, and one number from the

set $\{7,8,9\}$ such that the three could be the sides of a nondegenerate triangle
Mathematics
1 answer:
statuscvo [17]3 years ago
3 0

Using triangle concepts, it is found that there are 3 ways to choose a number from each set such that the three could be the sides of a nondegenerate triangle.

<h3>What is the condition for 3 lengths to represent a triangle?</h3>

In a triangle, the sum of the lengths of the two smaller sides has to be greater than the length of the greater side.

In this problem, the possible lengths are:

  • 2, 6 and 7.
  • 3, 5 and 7.
  • 3, 6 and 8.

Hence, there are 3 ways to choose a number from each set such that the three could be the sides of a nondegenerate triangle.

You can learn more about triangle concepts at brainly.com/question/25645873

You might be interested in
3x2 + 2(x2 – 20) = 16 - 2x2
lana66690 [7]

3x(2) + 2(2x - 20) = 16 - 2x(2)

6x + 4x - 40 = 16 - 4x

10x - 40 = 16 - 4x

14x - 40 = 16

14x = 56

x = 4

Hope this helps! ;)

8 0
3 years ago
A lender requires PMI that is 0.8% of the loan amount of $470,000. How much (in dollars) will this add to the borrower's monthly
Ainat [17]

The amount add to the borrower's monthly payment is $313.33.

Given that lender requires PMI that is 0.8% of the loan amount of $470,000.

A loan's PMI, or personal mortgage insurance, is a type of mortgage insurance used by lenders when making traditional loans such as home loans. A PMI helps cover the loss to the lender (bank) if the borrower stops making monthly mortgage payments on their home loan. Therefore, the PMI can be described as a kind of risk mitigation tool for the bank when the borrower defaults on their EMIs (monthly mortgage payments). So, PMI for a borrower is an additional cost or payment for the borrower on top of his monthly payments i.e. EMI.

Thus, the additional amount of dollars that the borrower has to pay for the PMI on his loan along with his monthly mortgage payments

= Principal Loan amount × (PMI/12)

= $470,000 × (0.8%/12)

= $470,000 × (0.008/12)

= $470,000 × 0.0006666667

=$313.333349

Hence, the additional monthly payment for PMI where lender requires PMI that is 0.8% of the loan amount of $470,000 is $313.33.

Learn more about mortgage payment from here brainly.com/question/10400598

#SPJ1

8 0
2 years ago
Of the students in Ms.Danver's class, 6 walk to school.This represents 30% of her students.How many Students are in Ms.Damver's
Kisachek [45]
There is 20 students. To find the answer you need to use porportionals and cross multiply.
6 0
3 years ago
Read 2 more answers
I need help please!!!!
nika2105 [10]

Answer: I think it is 364.80

5 0
3 years ago
The attendance at twenty-five high school football games was: 250, 400, 350, 750, 200, 1000, 1200, 800, 600, 900,
wolverine [178]

Answer:

B and d

Step-by-step explanation:

Brainliest pls.

3 0
3 years ago
Other questions:
  • you have 24 coins in your pocket all quarters and nickles totaling $4.60 how many of each do you have
    14·1 answer
  • Michael drinks 355 milliliters of orange juice and puts 6 centiliters of syrup on his pancakes for breakfast. How many millilite
    15·1 answer
  • Dawn Lingua bought three yards of cloth to make some curtains. The cloth was on sale for $2.25 per yard. How much did Dawn pay f
    5·2 answers
  • Can someone please tell me the answers!?!?! It’s due today! (I’ll give brainliest to the one who is right)
    7·2 answers
  • 2) ¿Cuál es la ganancia que se obtiene al depositar $5.000.000 durante 2 años a un regimen de interés compuesto en un banco que
    10·1 answer
  • Hey! i’ll give brainliest please help
    11·1 answer
  • Obtain the length of a ladder leaning against a wall 4.33 m high and forming an angle of 60 ° with respect to the floor of the
    9·1 answer
  • Write y = 2x + 8 in standard form.​
    8·1 answer
  • Solve for x to the nearest tenth.
    14·1 answer
  • 6.39x10^23kg in standard form
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!