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lorasvet [3.4K]
3 years ago
14

Classify the triangle with 9, 15, 19 as an acute right obtuse or not a triangle

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
8 0

Answer:

Hence the correct option is the last one . The triangle is an obtuse angled triangle.

Step-by-step explanation:

i) the sum of any two sides added together is greater than the third side hence this is a triangle.

ii) it is<em><u> not</u></em> a right angled triangle as \sqrt{9^{2} + 15^{2} } \neq  19 and \sqrt{9^{2} + 15^{2} } <  19

iii) the triangle is not acute from ii) above

iv) the triangle is an obtuse triangle from ii) above.

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In a race between 18 people, how many ways can the top 5 finishers be arranged?
snow_lady [41]

Answer:

Step-by-step explanation:

This is permutation, since order matters.  The formula for us is

₁₈P₅ = \frac{18!}{(18-5)!} which simplifies to

₁₈P₅ = \frac{18*17*16*15*14*13!}{13!}

The factorial of 13 cancels out on the top and bottom leaving you with

₁₈P₅ = 18 × 17 × 16 × 15 × 14

which comes to 1,028,160 ways

Another way to look at it is:  the first 5 people of 18 finish and the others you don't care about.  Once the first place person is first, there are only 4 of the 18 left to finish in second place.  Then there are only 3 left to finish in third place, etc.  So if we use that reasoning, we don't even need to use the formula, we can just say

18 * 17 * 16 * 15 * 14 and those are the first 5 people of 18 to finish.

8 0
3 years ago
Six times a number plus 4 is the same as the numver minus 11
Brrunno [24]
6xn+n-11 so n=6

6x6=36+6=42-11 is 31
3 0
3 years ago
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stealth61 [152]

Answer:

A

Step-by-step explanation:

Solving for 1995, which is 5 years after 1990, so plug in 5 as t.

n= 1.76(5)² - 13.32(5) + 41

n= 44 - 66.6 + 41

n= 18.4

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3 0
3 years ago
If m = 8, what is 4m + 2m?<br><br> Hint: "4m" means "4 TIMES m" and "2m" means "2 TIMES m"
aleksandr82 [10.1K]

Answer:

48

Step-by-step explanation:

4m means 4xm, and 2m means 2xm

Now, if m = 8, 4m means 4x8, and 2m means 2x8. (Technically, substituting the number in place of the variable m)

4x8 = 32

2x8 = 16

So the equation now is 32+16

Do the math and you get 48

8 0
3 years ago
Read 2 more answers
Hill can make 2/5 a dozen cookies in 1/3 hour, what is his rate per hour
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Answer:1 1/5 dozen cookies a hour

Step-by-step explanation: hope it helps

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2 years ago
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