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3 years ago

30-60-90 special right triangles

Mathematics

1 answer:

Mazyrski [523]3 years ago

6 0

So so the sides are x, x√3, 2x

here is an attachemtnt don't mind the one on the left

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Which of the following ratios forms a proportion

Bogdan [553]

Not a enogh information so write more down

7 0

3 years ago

A state end-of-grade exam in American History is a multiple-choice test that has 50 questions with 4 answer choices for each que

Assoli18 [71]

Answer:

Q1) The student has a 0.01% probability of passing the test.

Q2) She has a 99.91% probability of passing in the test.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he gets it correct, or he gets it wrong. So we solve this problem using the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

For this problem, we have that:

Question 1.

There are 50 questions, so $n = 50$ .

The student is going to guess each question, so he has a $\pi = \frac{1}{4} = 0.25$ probability of getting it right.

He needs to get at least 25 question right.

So we need to find $P(X \geq 25)$ .

Using a binomial probability calculator, with $n = 50$ and $\pi = 0.25$ we get that $P(X \geq 25) = 0.0001$ .

This means that the student has a 0.01% probability of passing the test.

Question 2.

Now, we need to find $P(X \geq 25)$ with $\pi = 0.70$ . So $P(X \geq 25) = 0.9991$

She has a 99.91% probability of passing in the test.

7 0

3 years ago

Read 2 more answers

The walls are rectangles with a height of 6 feet. A pint of paint covers about 50 square feet. How much paint do they need to pa

coldgirl [10]

Answer:

300

Step-by-step explanation:

4 0

3 years ago

A new price of an item is $39.32. The percent increase was 16%. What was the original price?

Fiesta28 [93]

Answer:

let x =the original price

then 116x/100=$39.32

116x=100×39.32

116x=3932

divide both sides by 116

116x/116=3932/116

x=33.89655

(2dp)

x=33.90

4 0

3 years ago

usa el teorema de la altura para proponer como se podria construir un segmento cuya longitud sea media proporcional entre dos se

Mrac [35]

Usando el teorema de altura

El teorema de altura relaciona la altura (h) de un triángulo rectángulo (ver figura) y los catetos de dos triángulos que son semejantes al anterior ABC, al trazar la altura (h) sobre la hipotenusa. De manera que en todo triángulo rectángulo, la altura (h) relativa a la hipotenusa es la media geométrica de las dos proyecciones de los catetos sobre la hipotenusa (n y m). Es decir, se cumple que:

 $\frac{n}{h}= \frac{h}{m}$

Dado que el problema establece construir un segmento cuya longitud sea media proporcional entre dos segmentos de 4 y 9 cm, entonces, digamos que n = 4cm y m = 9cm tenmos que:

 $\frac{4}{h}= \frac{h}{9}$

De donde:

$h= \sqrt{(4)(9)}=\sqrt{36}=6cm$

¿Cómo se podria construir si los segmentos son de a cm y b cm?

Si los segmentos son de a y b cm entonces a y b son parámetros que pueden tomar cualquier valor positivo siempre que se cumpla que:

$h= \sqrt{ab}$

6 0

3 years ago