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3 years ago

Equivalent ratio to 2:7

Mathematics

1 answer:

uysha [10]3 years ago

8 0

The answer is 4:14 (hoped this helped)

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Write the prime factorization of the number. 18,234

shusha [124]

Answer:

$18234=2\times 3\times 3\times 1013$

Step-by-step explanation:

We are given that a number 18234

We have to find the prime factorization of the number

Prime factorization : The number written is in the product of prime numbers is called prime factorization.

In order to find the prime factorization we will find the factors of given number

$18234=2\times 3\times 3\times 1013$

Hence, the prime factorization of $18234=2\times 3\times 3\times 1013$

3 0

3 years ago

The diagram shows 5cm×5cm×5cm cube calculate the length of the diagonal ab

mario62 [17]

Answer:

AB = $5\sqrt{3}$ cm

Step-by-step explanation:

As we can see from the figure, BCDE is a square with each corner equal to 90°.

So that, BDE is a right triangle with corner BED equal to 90°

As BDE is a right triangle, according to Pythagoras theorem, we have:

$BD^{2} = BE^{2} +ED^{2} = 5^{2} + 5^{2} = 25 + 25 = 50$ cm

As the diagram s the cube, so that it can be seen that AD is perpendicular to the surface BCDE

=> AD is perpendicular to BD

=> ADB is the right triangle with corner ADB equal to 90°.

As ADB is the right triangle, ccording to Pythagoras theorem, we have:

$AB^{2} =AD^{2} + BD^{2} = 5^{2} +50 = 25 +50 = 75$ cm

=> $AB = \sqrt{75} = 5\sqrt{3}$ cm

Conclusion: AB = $5\sqrt{3}$ cm

4 0

3 years ago

Solve the problem below X-y=1 X+y=3

torisob [31]

X = 2
Y= 1

2-1 = 1 ✔️
2+1 = 3 ✔️

3 0

2 years ago

Read 2 more answers

Solve this system of equation r+3s+t=3 2r-3s+2t=3 -r+3s-3t=1

pashok25 [27]

Is there a picture or diagram that goes along with this. It's kinda confusing for me without the original picture. Sorry

5 0

3 years ago

What is the coefficient of x²y^8 in the expansion of (x + y)^10?

rjkz [21]

Answer: 45

Step-by-step explanation:

We know that $(m+1)^{th}$ term in the binomial expansion of $(a+b)^n$ is given by :-

$T_{r+1}=^nC_m a^{n-m}b^m$

Now, $(m+1)^{th}$ term for the binomial expansion of $(x+y)^{10}$ is given by :-

$T_{r+1}=^{10}C_m x^{10-m}y^m$ (1)

When we compare (1) to $x^2y^8$ , we get m=8

Then, the coefficient of $x^2y^8$ from (1) will be :-

$^{10}C_8=\dfrac{10!}{8!(10-8)!}\\\\=\dfrac{10\times9\times8!}{8!2!}=45$

Hence, the coefficient of $x^2y^8$ is 45.

4 0

3 years ago