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3 years ago

Factorise the following expression :

Mathematics

1 answer:

Svetlanka [38]3 years ago

4 0

Answer:

(i)(a - 2y) (3x - 4b)

(iii) (m - n)(m + 4)

Step-by-step explanation:

(i)

3ax - 6xy + 8by - 4ab

= 3x (a - 2y) - 4b (-2y + a)

= 3x (a - 2y) - 4b (a - 2y)

= (a - 2y) (3x - 4b)

(iii)

${m}^{2} - mn + 4m - 4n \\ \\ = m(m - n) + 4(m - n) \\ \\ = (m - n)(m + 4)$

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Tomb trees are standing side-by-side in the sunlight one is 50 feet tall and the other is 20 feet tall if the taller tree cast a

8090 [49]

Answer: Length of shorter tree = 7.2 feet .

Step-by-step explanation:

Given : Height of two trees as 50 feet and 20 feet.

At same time the angle made by sun rays would be same for both trees.

Both trees are vertical to the ground making right angle so triangles made by both triangles must be similar.

Corresponding sides of similar triangles are proportional.

So $\dfrac{\text{length of the shadow of the shorter tree}}{\text{height of shorter tree}}=\dfrac{\text{length of the shadow of the bigger tree}}{\text{height of bigger tree}}\\\\=\dfrac{\text{length of the shadow of the shorter tree}}{20}=\dfrac{18}{50}\\\\\Rightarrow\ \text{length of the shadow of the shorter tree}=\dfrac{18}{50}\times20\\\\\Rightarrow\ \text{length of the shadow of the shorter tree} = 7.2$

So, Length of shorter tree = 7.2 feet .

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3 years ago

Drag each label to the correct location on the image.

Molodets [167]

Answer:

1 x (4 x 2) = 8

Step-by-step explanation:

1 x (4 x 2) = 8

7 0

2 years ago

Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate each day. It is f

pashok25 [27]

Answer:

0.999987

Step-by-step explanation:

Given that

The user is a legitimate one = E₁

The user is a fraudulent one = E₂

The same user originates calls from two metropolitan areas = A

Use Bay's Theorem to solve the problem

P(E₁) = 0.0131% = 0.000131

P(E₂) = 1 - P(E₁) = 0.999869

P(A/E₁) = 3% = 0.03

P(A/E₂) = 30% = 0.3

Given a randomly chosen user originates calls from two or more metropolitan, The probability that the user is fraudulent user is :

$P(E_2/A)=\frac{P(E_2)\times P(A/E_2)}{P(E_1)\times P(A/E_1)+P(E_2)\times P(A/E_2)}$

$=\frac{(0.999869)(0.3)}{(0.000131)(0.03)+(0.999869)(0.3)}$

$\frac{0.2999607}{0.00000393+0.2999607}$

$\frac{0.2999607}{0.29996463}$

= 0.999986898 ≈ 0.999987

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3 years ago

What is X the two numbers are 46 and 71

tino4ka555 [31]

The answer would be 63 bc 46+71= 117 then a triangle usaually equals 180 so 180 -117=63!!

3 0

3 years ago

The math department needs to buy new textbooks and laptops for the computer science classroom. The textbooks cost $116.00 each,

Sav [38]

Answer:

6 laptops

Step-by-step explanation:

First, find the amount spent on the textbooks:

30(116)

= 3480

Subtract this from the total amount they have to spend:

6500 - 3480

= 3020

Divide this amount by 439 to find how many laptops they can buy:

3020/439

= 6.8

Round down to 6 since you can only have full laptops:

= 6

So, they can buy 6 laptops

6 0

3 years ago

Factorise the following expression :​

Factorise the following expression :