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suter [353]
3 years ago
13

Please help and show all work

Mathematics
2 answers:
Verizon [17]3 years ago
8 0
1) a^2 = c^2 - b^2
a^2 = 5^2 - 4^2
a^ 2 = 9
(Square root 9)
a = 3

2) a^ 2 + b^2 = c^2
8^2 + 4^2 = c^2
80 = c^2
(Square root of 80)
C = 8.9 cm

3) a^2 + b^2 = c^2
6^2 + 2^2 = c^2
40 = c^2
(Square root of 40)
C = 6.3 cm

4) a^2 + b^2 = c^2
10^2 + 24^2 = c^2
676 = c^2
(Square root of 676)
C = 26

5) a^2 + b^2 = c^2
6^2 + 5^2 = c^2
61 = c^2
C = 7.8cm

6) a^2 + b^2 = c^2
12^2 + 12^2 = c^2
288 = c^2
C = 16.97cm

7) 8^2 + 6^2 = c^2
100 = c^2
C = 10

8) a^2 = c^2 - b^2
a^2 = 25^2 - 20^2
a^2 = 225
a = 15

9) a^2 = 14^2 - 9^2
a^2 = 115
a = 10.7cm

10) a^2 = 20^2 - 15^2
a^2 = 175
a = 13.2cm

11) Does 15^2 + 8^2 = 17^2?
289 = 289

Yes it’s a right angled triangle because 15^2 + 8^2 = 17^2

Do the same for the others

12) 7^2 + 5^2 = 74
9^2 = 81

So it’s not a right angled triangle

13) 5^2 + 12^2 = 169
13^2 = 169

It is a right angled triangle

14) 9^2 + 12^2 = 225
16^2 = 256

Not a right angled triangle

15) 10^2 + 24^2 = 676
26^2 = 676

It is a right angled triangle

16) 2^2 + 2^2 = 8
3^2 = 9

Not a right angled triangle
frutty [35]3 years ago
5 0
Im just here to correct what the other person wrote so I dont have to write everything I read it and its right please give her a thanks
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f) The life of a power transmission tower is exponentially distributed, with mean life 25 years. If three towers, operated indep
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Step-by-step explanation:

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In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

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The probability that x is lower or equal to a is given by:

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P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

Probability of a single tower being standing after 35 years:

Single tower, so exponential.

Mean of 25 years, so m = 25, \mu = \frac{1}{25} = 0.04

We have to find P(X > 35)

P(X > 35) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-0.04*35} = 0.2466

What is the probability that at least 2 will still stand after 35 years?

Now binomial.

Each tower has a 0.2466 probability of being standing after 35 years, so p = 0.2466

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We have to find:

P(X \geq 2) = P(X = 2) + P(X = 3)

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P(X = 2) = C_{3,2}.(0.2466)^{2}.(0.7534)^{1} = 0.1374

P(X = 3) = C_{3,3}.(0.2466)^{3}.(0.7534)^{0} = 0.0150

P(X \geq 2) = P(X = 2) + P(X = 3) = 0.1374 + 0.0150 = 0.1524

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