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2 years ago

How many triangles can be constructed using angle measurements 81°,52°,47° ? exactly one triangle

Mathematics

2 answers:

Natali [406]2 years ago

7 0

More than one triangle is the correct answer

MrMuchimi2 years ago

4 0

More than one triangle because it has to measure up to 180°

81 + 52 + 47 = 180

(Example) If you had a triangle that has the measurements 123 and 60 it would add up to be 183 so it would not be possible because the sum of all triangles cannot exceed 180°

Brainiest please I need it to level up

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Arisa [49]

The required steps are explained below to convert the quadratic function into a perfect square.

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Let the quadratic function be y = ax² + bx + c.

The first step is to take common the coefficient of x². We have

$\rm y = a \left (x^2 + \dfrac{b}{a}x \right) + c$

Add and subtract the half of the square the coefficient of x,

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These are the required step to get the perfect square of the quadratic function.

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1 year ago

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olga2289 [7]

A^3
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2 years ago

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The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a m

castortr0y [4]

Answer:

a) 50.34% probability that the arrival time between customers will be 7 minutes or less.

b) 24.42% probability that the arrival time between customers will be between 3 and 7 minutes

Step-by-step explanation:

Exponential distribution:

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

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

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

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

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

The probability of finding a value higher than x is:

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

Mean of 10 minutes:

This means that $m = 10, \mu = \frac{1}{10} = 0.1$

A. What is the probability that the arrival time between customers will be 7 minutes or less?

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

$P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034$

50.34% probability that the arrival time between customers will be 7 minutes or less.

B. What is the probability that the arrival time between customers will be between 3 and 7 minutes?

$P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3)$

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

$P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034$

$P(X \leq 3) = 1 - e^{-0.1*3} = 0.2592$

$P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3) = 0.5034 - 0.2592 = 0.2442$

24.42% probability that the arrival time between customers will be between 3 and 7 minutes

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2 years ago

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nignag [31]

Answer:

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Step-by-step explanation:

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Aleonysh [2.5K]

Türkiye cumhuriyeti ccc

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2 years ago

How many triangles can be constructed using angle measurements ​ 81°,52°,47° ​? exactly one triangle

How many triangles can be constructed using angle measurements 81°,52°,47° ? exactly one triangle