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
stepladder [879]
2 years ago
14

which of the following are right triangles: a triangle with side lenghts 6 inches, 8 inches,10 inches, a triangle with side leng

ths 8, 15, 17, a triangle with side lengths 5, 12, 13, a triangle with side lenght 4, 5, 6
Mathematics
1 answer:
amid [387]2 years ago
5 0

9514 1404 393

Answer:

  • (6, 8, 10) right
  • (8, 15, 17) right
  • (5, 12, 13) right

Step-by-step explanation:

It can be helpful to memorize a few of the Pythagorean triples that show up in Algebra problems. Their multiples also form right triangles.

  (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41)

The triple (6, 8, 10) is the first one of these, multiplied by 2 inches.

The only triple that is a sequence of consecutive integers is (3, 4, 5), so you know immediately that (4, 5, 6) does not form a right triangle.

Of course, you can check any of them to see if the squares of the smaller two numbers total the square of the larger number:

  4² +5² = 16 +25 = 41 ≠ 6² . . . . . (4, 5, 6) is not a right triangle

You might be interested in
I need help with elimination with substitution. The equations are 3x+4y=19 and 3x+6y=33
olganol [36]
For elimination, multiply one whole equation by negative one (-1), then add or subtract according to your signs. After that, it will be a one-step equation.

3x + 4y = 19          3x + 4y = 19             3x + 4y = 19          -2y = -14        y = 7
3x + 6y = 33     -1 (3x + 6y = 33)          -3x - 6y = -33          -14 / -2

Then you would go back and substitute the value of (y) back into either equation and then solve for the remaining variable (x). Finally, use both values to make an ordered pair.

3x + 4y = 19          3x = -9          x = -3          (-3 , 7)
3x + 4(7) = 19       (-9 / 3)
3x + 28 = 19          

Good Luck

4 0
2 years ago
Find the pattern and use inductive reasoning to predict the next number in the sequence 5,5,10,30,120,…
vladimir2022 [97]
600 because it’s times 5
5 0
3 years ago
Find the length of the shorter leg of a right triangle if the longer leg is 7 feet more than the shorter leg and the hypotenuse
gtnhenbr [62]
You can use the pythagorean theorem.
a^{2} + b^{2} = c^{2}
Now lets write out what we know.

Shorter leg = x
Longer Leg = x + 7
Hypotenuse = x - 7

a^{2} + b^{2} = c^{2}
Now solve for x
x^{2} + (x+7)^{2} = (2x-7)^{2}
x = 28
Since you know x = 28, which is the shorter leg, you can solve for the rest by just plugging in 28 where x is located. For instance, longer let is x + 7 so 
28 + 7 = 35





6 0
3 years ago
Jonah knows that mr. Robinson needs 14 tablets for a week supply of anti-inflammatory drug mr. Robinson is going on vacation and
Flura [38]

<em>Answer:</em>

<em> 56 tablets</em>

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

Jonah knows that Mr. Robinson needs 14 tablets for a week's supply of an anti-inflammatory drug.

<em>Mr. Robinson is going on vacation and needs a 4-week supply.  </em>

<em>So </em><u><em>multiplying 4 with the weekly supply</em></u><em> will yield the required result.  </em>

So, number of tablets Jonia needs to fill is,

=4\times 14

=56

<em>Therefore, Jonah needs </em><u><em>56 tablets</em></u><em> in order to fill his prescription</em>

6 0
3 years ago
I need to know the surface area of this prism please help !!!! I will give brainlist !
aivan3 [116]

Answer:

614

Step-by-step explanation:

15 x 13 = 195    two times   195 x 2 = 390

4 x 15 = 60    two times   60 x 2 = 120

4 x 13 = 52      two times   52 x 2 = 104

104 + 120 + 390 = 614

4 0
3 years ago
Read 2 more answers
Other questions:
  • melissa runs a landscaping business. She has equipment and fuel for $343 per month. If she charges $46 for each lawn, how many l
    5·1 answer
  • 7.
    8·2 answers
  • Factor. 8a2−2ac+12ab−3bc
    7·1 answer
  • Choose the graph for the inequality. Please help ASAP!!!
    14·1 answer
  • PY=2, HP=3, find HY<br><br> Geometry
    6·1 answer
  • Recall the following study: Over a 17-year period researchers studied a sample of 707 individuals from a single community. They
    14·1 answer
  • Ten less than 5 times the value of a number is equal to 10 times the quantity of
    13·1 answer
  • 3 ice cream cones cost $8.25. At this rate , how much do 2 ice cream cones cost?
    5·1 answer
  • What should be added to 'x' to get 'y'?
    13·2 answers
  • Out of the total respondents, the percentage of respondents from the 46–55 age group who rated the film excellent is %. write yo
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!