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aleksklad [387]
3 years ago
13

Which of the following three sets of lengths could be used to form a right triangle A 39,15 and 36

Mathematics
2 answers:
laila [671]3 years ago
7 0

Step-by-step explanation:

To find a set of 3 leg lengths that will form a right-angled triangle, the square of the largest leg must be equal to the sum of the squares of the other 2 legs.

We try out all the options:

39² = 1521, 15² + 36² = 1521.

12² = 144, 8² + 4² = 80.

17² = 289, 13² + 9² = 250.

Since 39² equals 15² + 36², option A is the correct answer.

Pavel [41]3 years ago
5 0

We must find out 3 angles to make a right triangle.

The formula is c² = a² + b².

We know that the longest angle is equal to the other two angles.

Now, let's work this problem out.

Option A

39² = 1521

15² + 36² = 1521.

Option B

12² = 144

8² + 4² = 80.

Option C

17² = 289

13² + 9² = 250.

39² = 15² + 36², so the answer is A.

✔️ Hence, verified. ✔️

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The nth term of a sequence is 60-8n. Find the largest number in this sequence.
natka813 [3]

Answer:

52

Step-by-step explanation:

1st term is =60-8=52

a2=60-16=44

a3=60-24=36

a4=60-32=28

a5=60-40=20

a6=60-48=12

....

sI the terms are 52,44,36,28, 20,12,4,-4,-12....

so the largest term is 52

6 0
2 years ago
Veronica is choosing between two health clubs. After how many months will the total cost for each health club be the​ same? Yoga
sergiy2304 [10]

Answer:

14.02

Step-by-step explanation:

You'd have to write equations for the price per month for each club.

Let  x  equal the number of months of membership, and  y  equal the total cost.

Club A's is  y = 24x + 21.50 and Club B's is  y = 17.25 x + 41.00 Because we know that the prices,  y , would be equal, we can set the two equations equal to each other.

24x + 21.50 =17.25 x+ 41.00

subtract 21.50 both sides

. We can now solve for  x  by isolating the variable.

24x=17.25x+19.5

divide 17.25x

1.39x=19.5

divide 1.39 both sides

x=14.02

After five months, the total cost would be the same.

4 0
3 years ago
​(A) How many ways can a 3​-person subcommittee be selected from a committee of 6 ​people? ​(B) How many ways can a president co
Zepler [3.9K]

Answer:

A) N = 20 ways

a 3​-person subcommittee can be selected from a committee of 6 ​people in 20 ways.

B)N = 120 ways

The president, vice president and secretary can be chosen from a committee of 6 ​people in 120 ways.

Step-by-step explanation:

A) the number of ways a 3​-person subcommittee be selected from a committee of 6 ​people N;

Since there is no given order for the selection, this means that the order of selection is irrelevant. Therefore, this is a combination problem where order is not considered.

N = nCr

N = 6C3

N = 6!/3!(6-3)! = 6!/3!3!

N = 720/(6×6)

N = 20 ways

a 3​-person subcommittee can be selected from a committee of 6 ​people in 20 ways.

B) the number of ways a president, vice president and secretary can be chosen from a committee of 6 ​people N;

In this case, there is a given order of selection for the 3 posts. This is a permutation.

N = nPr

N = 6P3

N = 6!/(6-3)!

N = 6!/3!

N = 120 ways

The president, vice president and secretary can be chosen from a committee of 6 ​people in 120 ways.

6 0
3 years ago
Which undefined term is used to define an angle ?
9966 [12]

the answer will be point

8 0
3 years ago
Read 2 more answers
Which of the following statements is true? -6 < -8 -6> -8 or -6=-8
olganol [36]

Answer:

-6>-8

Step-by-step explanation:

-6 is more than -8.

4 0
3 years ago
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