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elixir [45]
3 years ago
12

Triangle Inequality Theorem: The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Can these numbers be the length of the sides of a triangle? Show the math to prove your answer. Then circle YES or NO. 1) 8,9,10 2) 1, 1, 2 3) 6,9,8 yes or no yes or no yes or no​
Mathematics
1 answer:
Dovator [93]3 years ago
8 0

Answer:

1) yes  2) no  3) yes

Step-by-step explanation:

The lengths of the two shorter sides must be greater than the length of the longest side.

1) 8 + 9 > 10    yes

2) 1 + 1 = 2      no

3)  6 + 8 > 9    yes

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What is the explicit formula for this arithmetic sequence?<br>3,9,15,21,27​
denis-greek [22]

Answer:

Step-by-step explanation:

Formula is to add 6. As you can see: 3+6=9; 9+6=15; 15+6=21 and 21+6=27.

I hope this was helpful.

8 0
3 years ago
Read 2 more answers
Determine the standard form of the equation for the circle with center (h,k) = (-5 ½) and radius r =1
wariber [46]
Asuuing yo meant (h,k)=(-5,1/2)

equation is (x-h)^2+(y-k)^2=r^2
(h,k) is center and r=radious
given that (h,k)=(-5,1/2) and r=1
h=-5
k=1/2

(x-(-5))^2+(y- \frac{1}{2} )^2=1^2
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if you wanted us to expand
x²+y^2+10x-y+25.25=1
8 0
3 years ago
2.
abruzzese [7]

Answer:

  a) 30 kangaroos in 2030

  b) decreasing 8% per year

  c) large t results in fractional kangaroos: P(100) ≈ 1/55 kangaroo

Step-by-step explanation:

We assume your equation is supposed to be ...

  P(t) = 76(0.92^t)

__

a) P(10) = 76(0.92^10) = 76(0.4344) = 30.01 ≈ 30

In the year 2030, the population of kangaroos in the province is modeled to be 30.

__

b) The population is decreasing. The base 0.92 of the exponent t is the cause. The population is changing by 0.92 -1 = -0.08 = -8% each year.

The population is decreasing by 8% each year.

__

c) The model loses its value once the population drops below 1/2 kangaroo. For large values of t, it predicts only fractional kangaroos, hence is not realistic.

  P(100) = 75(0.92^100) = 76(0.0002392)

  P(100) ≈ 0.0182, about 1/55th of a kangaroo

5 0
3 years ago
20
iren2701 [21]

Answer:

This is my first question but I think it's c

Step-by-step explanation:

25,000-4334=20,666

20,666/2712=7.62 which rounds to 8

8 0
3 years ago
Why did the kindergartener take her books to the zoo
Aneli [31]
Because she wanted to read instead of looking at the animals. Or the book was about the animals at the zoo.
8 0
2 years ago
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