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ozzi
3 years ago
12

What set of three numbers could represent the lengths of the side of a right triangle?

Mathematics
1 answer:
klemol [59]3 years ago
7 0

Answer:

C.) 5, 12, 13

Step-by-step explanation:

In a right triangle, the sum of the squares of the two shorter sides must equal the square of the longest side (Pythagoras).

a² + b² = c²

We can test each set of numbers to see which one fits.

A.) 8² +  12² =   16²

    64 + 144 = 256

           208 ≠ 256

B.) 6² +  7² =  8²

   36 + 49 = 64

           85 ≠ 64

C.) 5² +  12² =   13²

    25 + 144 = 169

            169 = 169

The numbers 5, 12, and 13 could represent the lengths of the sides of a right triangle.

D.) 16² +    32² =    36²

   256 + 1024 = 1296

              1280 ≠ 1296

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Show calculations for each of the ratio table
Sladkaya [172]

Answer:

From left to right:

3, 30, 20

Step-by-step explanation:

Start by determining the ratio of yellow to red paint. Use the column where both amounts are given:

yellow to red = 2 to 6 = 1 to 3

2 to 6 the same as 1 to 3 when reduced, by dividing both sides by 2.

This means yellow paint is a third of red paint. Backwards, red paint is three times yellow paint.

To go from yellow to red, do yellow X 3.

To go from red to yellow, do red ÷ 3.

Column 1:

1 X 3 = 3

Column 3:

10 X 3 = 30

Column 4:

60 ÷ 3 = 20

The ratios are:

1 to 3

2 to 6

10 to 30

20 to 60

4 0
3 years ago
What is the circumference of a circle that has a radius of 4
Artemon [7]
C=2pir
r=4
c=2pi4
c=8pi
aprox pi=3.14
c=25.12
4 0
3 years ago
Read 2 more answers
On Monday you sent x number of text messages. On Tuesday you sent twice as many. On Wednesday you sent 12 more texts than you se
kykrilka [37]

Answer: Expression represents the number of text messages you sent on Tuesday = 2x

Expression represents the number of text messages you sent on Wednesday = 12+2x

Expression represents the number of text messages you sent on Thursday = x+6

Step-by-step explanation:

Given:

Number of text messages sent on Monday = x

On Tuesday, Number of text messages sent  = 2 (Number of messages sent on Monday)

= 2 x

On Wednesday, Number of text messages sent  = 12+ (Number of messages sent on Tuesday)

= 12 +2x

On Thursday, Number of text messages sent  = \dfrac12(2x+12)

= x+6

Expression represents the number of text messages you sent on Tuesday = 2x

Expression represents the number of text messages you sent on Wednesday = 12+2x

Expression represents the number of text messages you sent on Thursday = x+6

5 0
3 years ago
Read 2 more answers
Evaluate if m = 16 and p = 2.<br> 1<br> 2<br> m + 3p<br> A) 10 <br> B) 14 <br> C) 18 <br> D) 48
Ivenika [448]
Put the values of m and p to the expression:

\dfrac{1}{2}m+3p\\\\m=16;\ p=2\\\\\dfrac{1}{2}\cdot16+3\cdot2=8+6=14\to B)

4 0
3 years ago
Which of the following demonstrates how the 20 is calculated using the combination pattern​
UNO [17]

The combination expression that demonstrates how the 20 is calculated using the combination pattern​ is 6C3

<h3>Permutation and Combination</h3>

While combination has to do with selection, permutation has to do with arrangement.

According to the combination rule

nCr = n!/(n-r)!r!

The expression that gives the result of 20 is expressed below;

6C3 = 6!/(6-3)!3!

6C3 = 6!/3!3!

6C3 = 6!/6*6
6C3 = 720/36
6C3 =20

Hence the combination expression that demonstrates how the 20 is calculated using the combination pattern​ is 6C3

Learn more on combination here: brainly.com/question/4658834

#SPJ1

5 0
2 years ago
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