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vitfil [10]
3 years ago
13

Determine if the following lengths could represent a triangle. If they can, determine if the triangle, is acute, obtuse, or righ

t.
A. 5, 8, 13
B. 7, 12, 26
C. 11, 15, 20
Mathematics
1 answer:
stiks02 [169]3 years ago
3 0

9514 1404 393

Answer:

  A. no

  B. no

  C. obtuse

Step-by-step explanation:

For side lengths to form a triangle, the sum of the shorter two must exceed the longest.

A. 5 + 8 = 13 . . . . a line segment, not a triangle

B. 7 + 12 < 26 . . . . no closure, not a triangle

C. 11 + 15 > 20 . . . . a triangle. A picture shows it to be obtuse

  You can also compare 11² +15² vs 20² ⇒ 346 vs 400. The long side is too long for a right triangle, so the triangle must be obtuse. (The Pythagorean theorem tells you a right triangle with those legs would have a long side of √346 = 18.6.)

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5000x3/100=150

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125x100/5=2500

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What is 12x12+3405-345+78-3?<br> Brainliest
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Step-by-step explanation:

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How many sites are show in this data set?
andre [41]

Answer:

The total number of sites are 15 .

Step-by-step explanation:

As shown in question.

The number of sites in 2 shield darter = 3

The number of sites in 3 shield darter = 1

The number of sites in 4 shield darter = 4

The number of sites in 6 shield darter = 2

The number of sites in 7 shield darter = 3

The number of sites in 8 shield darter = 1

The number of sites in 9 shield darter = 1

Thus

Total number of sites =  Number of sites in 2 shield darter + Number of sites in 3 shield darter +  Number of sites in 4 shield darter +  Number of sites in 6 shield darter +  Number of sites in 7 shield darter  +  Number of sites in 8 shield darter + Number of sites in 9 shield darter

Putting the values in above

                                  = 3 + 1 + 4 + 2 + 3 + 1 +1

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3 0
3 years ago
Answer the following <br><br> please give steps of how you got your answer
konstantin123 [22]

Answer: x^4

Step-by-step explanation:

1. Rewrite the expression in fraction form:

(3√x²)^6 = x^(2/3)^6

2 is the exponent, so when written in fraction form, it is the numerator. 3 is the index or root, so in fraction form it is the denominator.

2. Solve:

x^(2/3)^6 = x^(12/3) = x^4

Because the exponent 2/3 is raised to the power of 6, you can use the power rule, which basically just means that whenever an exponent is raised to an exponent, multiply them. So, 2/3 * 6 equals 12/3, and 12/3 equals 4, making your answer x^4.

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Answer:

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Step-by-step explanation:

In this case, the order of filling of the offices does not matter, so, we can figure out the different ways of filling the offices by using the combination formula:

C^{n} _{r}=\frac{n!}{(n-r)!r!}

where n=14 (number of members)

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n!=n·(n-1)·(n-2)·...·3·2·1

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5 0
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