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3 years ago

What is the formula for the area of a triangle and a square again?

Mathematics

2 answers:

Tatiana [17]3 years ago

5 0

1/2 X base X height= triangle

length X width X height= square

horsena [70]3 years ago

3 0

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{area of a triangle}\\ \cline{1-1} \\ A=\cfrac{1}{2}bh~~ \begin{cases} b=base\\ h=height \end{cases} \\\\ \cline{1-1} \end{array}~\hspace{7em} \begin{array}{|c|ll} \cline{1-1} \textit{area of a square}\\ \cline{1-1} \\ A=s^2\qquad \begin{array}{llll} s=length~of\\ \qquad a~side \end{array} \\\\ \cline{1-1} \end{array}$

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Three prime numbers that can be multiplied to get 825

Leona [35]

Answer:

Prime factorization: 825 = 3 × 5 × 5 × 11, which can be written 825 = 3 × 5² × 11.

Step-by-step explanation:

Hope this helps!

5 0

2 years ago

Read 2 more answers

A small regional carrier accepted 19 reservations for a particular flight with 17 seats. 14 reservations went to regular custome

Ludmilka [50]

Answer:

(a) The probability of overbooking is 0.2135.

(b) The probability that the flight has empty seats is 0.4625.

Step-by-step explanation:

Let the random variable X represent the number of passengers showing up for the flight.

It is provided that a small regional carrier accepted 19 reservations for a particular flight with 17 seats.

Of the 17 seats, 14 reservations went to regular customers who will arrive for the flight.

Number of reservations = 19

Regular customers = 14

Seats available = 17 - 14 = 3

Remaining reservations, n = 19 - 14 = 5

P (A remaining passenger will arrive), p = 0.52

The random variable X thus follows a Binomial distribution with parameters n = 5 and p = 0.52.

(1)

Compute the probability of overbooking as follows:

P (Overbooking occurs) = P(More than 3 shows up for the flight)

$=P(X>3)\\\\={5\choose 4}(0.52)^{4}(1-0.52)^{5-4}+{5\choose 5}(0.52)^{5}(1-0.52)^{5-5}\\\\=0.175478784+0.0380204032\\\\=0.2134991872\\\\\approx 0.2135$

Thus, the probability of overbooking is 0.2135.

(2)

Compute the probability that the flight has empty seats as follows:

P (The flight has empty seats) = P (Less than 3 shows up for the flight)

$=P(X$

Thus, the probability that the flight has empty seats is 0.4625.

4 0

3 years ago

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3 years ago

How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square?

Valentin [98]

<h2>8 unit tiles should be added</h2>

Step-by-step explanation:

Function given is $f(x)=x^{2}-6x+1$ . We wish to add more unit tiles to the function so that it becomes a complete square.

Since the given function is of order 2, the side of the square will be order 1. Let us assume a general order 1 expression $ax+b$ to be the side of the square.