All categories

3 years ago

Find the area of a rectangle if length = 2a + b and breadth = 3a + c

Mathematics

2 answers:

Rama09 [41]3 years ago

7 0

Answer:

6a^2+2ac+3ab+b^2

Step-by-step explanation:

Given

length=2a+b

breadth=3a+c

Now,

Area=?

We know,

Area=l*b

(2a+b)*(3a+c)

2a(3a+c)+b(3a+c)

6a^2+2ac+3ab+b^2

You can use formula (a+b)^2

a^2+2ab+b^2

Aneli [31]3 years ago

6 0

Step-by-step explanation:

A=l×b

=(2a+b)(3a+c)

=6a²+2ac+3ba+bc

hope it helps.

You might be interested in

The market is located at point (−4, −3) on the coordinate graph. The barber shop is 8 units to the right and 4 units up from the

Evgesh-ka [11]

Answer:

(4, 1)

Step-by-step explanation:

8 units to the right = x + 8, so -4 + 8 = 4

4 units up = y + 4, so -3 + 4 = 1

4 0

2 years ago

Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (6,2), (negative 2,negative 4

marin [14]

Answer:

(2,-1)

Step-by-step explanation:

A graph is useful here. Points X and Y have coordinate differences of ...

X -Y = (6, 2) -(-2, -4) = (6+2, 2+4) = (8, 6)

Then the distance between X and Y is ...

d = √(8² +6²) = √100 = 10

The point 5 units from X and from Y is the midpoint of XY:

E = (X +Y)/2 = ((6, 2) +(-2, -4))/2 = (4, -2)/2 = (2, -1)

The epicenter is (2, -1).

_____

The graph shows circles of radius 5 around X and Y, and a circle of radius 13 around Z. The circles intersect at the point (2, -1), the epicenter.

5 0

3 years ago

Problema de capacidades Una empresa aceitera ha envasado 3000 litros de aceite en 1200 botellas de dos y de cinco litros. ¿Cuánt

mariarad [96]

Answer:

Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

En este caso, las variables a calcular son:

x= cantidad de botellas de 2 litros.
y= cantidad de botellas de 5 litros.

Una empresa aceitera ha envasado 3000 litros de aceite en 1200 botellas de dos y de cinco litros. Entonces es posible plantear el siguiente sistema de ecuaciones:

$\left \{ {{2*x+5*y=3000} \atop {x+y=1200}} \right.$

Existen varios métodos para resolver un sistema de ecuaciones. Resolviendo por el método de sustitución, que consiste en despejar o aislar una de las incógnitas y sustituir su expresión en la otra ecuación, despejas x de la segunda ecuación:

x= 1200 - y

Sustituyendo la expresión en la primer ecuación:

2*(1200 - y) + 5*y=3000

Resolviendo se obtiene:

2*1200 - 2*y + 5*y= 3000

2400 +3*y= 3000

3*y= 3000 - 2400

3*y= 600

y= 600÷3

y= 200

Reemplazando en la expresión x= 1200 - y:

x= 1200 - y

x=1200 -200

x= 1000

<u><em>Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.</em></u>

7 0

3 years ago

Why might Razis method not be a good way to estimate the probability? My team won 18 of their last 20 matches, so the probabilit

FrozenT [24]

Answer:

It is a really idealistic way to estimate probability.

It usually works well for random events where there is no restriction like:

"There are N elements in a set, the probability of randomly selecting any element is the same (so there is no restriction) meaning that for every single element, the probability is 1/N.

Now suppose that there are K elements (K < N) with a given characteristic, then the probability of randomly selecting one of the K elements out of the sett with N elements is equal to K times the probability of each element, this is:

P = K*(1/N) = K/N"

Then if a dice has 6 possible outputs, and we want to find the probability of getting a 3 or a 5, we need to find the quotient between the outcomes where we get a 3 or a 5 (2) and the total number of outcomes (6)

P = 2/6

Now let's go to the case in the problem:

We know that out of the last 20 games, your team won 18.

Then yes, your team won (18/20)*100% = 90% of their played games.

Does this mean tath the probability of winning the next game is 90%?

Well no, because this is not a random selection, there are a lot of other things needed to analyze, as the win rate of the other team (suppose that the other team won 14 of their last 20 games, then their win rate is (16/20)*100% = 70%

Does this mean that the probability where our team wins is 90%, and the probability of the enemy team winning is 70%?

Well no, this makes no sense at all, and this is why this method is not a good way to estimate probability in complex cases like this one.

5 0

3 years ago

a student answered 86 problems on a test correctly and received a grade 98% how many problems were on the test if all the proble

maxonik [38]

98% Grade was achieved, so 0.98 of the questions were answered correctly.

n = number of problems

$\frac{86}{n} = 0.98 \\ \\ n = \frac{86}{0.98} \\ \\ n = 87.755...$

Our final answer can't be a decimal, so we round it to:

$n = 87$

4 0

3 years ago