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
Ganezh [65]
3 years ago
11

Which of the following numbers could be the sides of a right triangle. A)8,15,17. B)6,8,12 C)9,11,21 D)4,13,16

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
3 0

Answer:

A) 8, 15, 17.

Step-by-step explanation:

Right triangle obey the Pythagorean theorem. Thus, we choose the two smaller numbers (being the cathetus) and if after applying the P. Theorem we get the biggest of each option  (the hypotenuse) that means that those numbers could be the sides of a right triangle.

The Pythagorean theorem states that: a^2+b^2=c^2

Thus:

\sqrt{a^2+b^2}=c

Option A:

\sqrt{8^2+15^2}=17 → 17 = 17 OK!

Option B:

\sqrt{6^2+8^2}  = 10 → 10 ≠ 12 NO

Option C:

\sqrt{9^2+11^2} = [tex]\sqrt{202}[/tex] → \sqrt{202} ≠ 21 NO

Option D:

\sqrt{4^2+13^2} = \sqrt{185} → \sqrt{185} ≠ 16 NO

You might be interested in
What are the solutions of the equation -x^2+8x+5=0
defon

First you get a graphing calculator & enter the equation into y = then hit graph . then hit graph & y= to get the table find where y is 0 and those will be you answers

(-0.583, 0) (8.583, 0)

3 0
3 years ago
Read 2 more answers
Which of the following is the explicit rule for the sequence -3, 5, 13, 21 ... *
TiliK225 [7]

Answer:

a_{n} = 8n - 11

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

5 - (- 3) = 13 - 5 = 21 - 13 = 8

This indicates the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = 8 , thus

a_{n} = - 3 + 8(n - 1) = - 3 + 8n - 8 = 8n - 11 ← note this is the second option, that is

f(n) = - 3 + 8(n - 1)

7 0
3 years ago
Help me again? This is my test
HACTEHA [7]

Answer:

Estimate: 7

Actual: 6.63 (>)

Step-by-step explanation:

I hope this helps you out with your question! Can you plz consider marking me brainliest and thanks! Plz tell me how the answer was! It feel nice to be appreciated! Comment /free for a giveaway entry of 20 thanks and 2 brainliest. Have an awesome day! Let me know if you have any questions!

                                              -KaraYeaton18

3 0
2 years ago
WHO'S UP AND WANTS TO HELP??
lesya692 [45]
I believe this question is referring to purchasing a discount on a loan's interest rate by putting more towards closing costs. For mortgages, sometimes they will allow you to "buy" a smaller interest rate. For example: 
<span>Loan A has an interest rate of 4.5% and no closing costs. </span>
<span>Loan B has an interest rate of 4.375%, but has $1000 in closing costs. </span>

<span>Normally, Loan A would be the better choice if you plan on keeping the home short term, but Loan B would be more beneficial for keeping the loan long-term. I don't really care to spend the time that is necessary to come up with an actual scenario, but I hope that helps enough for you to understand the question.</span>
7 0
3 years ago
a jogger is running around a 3/4 mile track and is 2/3 around the track. How far has the jogger traveled?
MA_775_DIABLO [31]

Answer:

.5

Step-by-step explanation:

3/4 of a mi is equal to 0.75 mi

2/3 of .75 is .5

8 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify the rational expression 4x-8/4x+20
    8·1 answer
  • What is 4xy+12w+12z using GCF
    11·1 answer
  • Factor the polynomial as a product of linear factors with complex coefficients.
    15·2 answers
  • 4/15 of the 315members of a book club are males, how many in the group are females
    12·2 answers
  • What would be a method
    10·2 answers
  • Lilly takes a train each day to work that averages 35 miles per hour. On her way home, her train ride follows the same path and
    11·2 answers
  • I NEED HELP PLEASE
    10·1 answer
  • Help please I will mark brainliest for the first person who answers ​
    7·2 answers
  • The first five terms of a sequence are 5, 4, 3, 2, 1. What is the explicit formula for the sequence?
    13·1 answer
  • If a genetic disorder is recessive, how do offsprings develop the disorder
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!