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MakcuM [25]
3 years ago
7

First triangle sides are 20 and 30. Second triangle sides are 16 and 24. Write the ratio of corresponding sides for the similar

triangles and reduce the ratio to lowest terms.
Mathematics
1 answer:
Luden [163]3 years ago
5 0

Answer:

5:4

Step-by-step explanation:

20 and 16 are both divisible by four. 20/4=5 and 16/4=4. 30 and 24 are both divisible by 6. 30/6=5 and 24/6=4. Because these answers match, the ratio of corresponding sides is 5:4.

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What is the volume of this rectangular prism?
ollegr [7]

Answer:

57,600cm {}^{2}

<em><u>Solving steps:</u></em>

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

=> 40 cm{}^{2} × 30cm{}^{2} × 48 cm{}^{2}

multiply all the numbers

=> 57,600cm{}^{2}

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8 0
2 years ago
Read 2 more answers
Two equivalent equations of the line in point slope form for (-4,8) and (0,5)
34kurt

Answer:

Equation of line 1  is 3 X - 4 Y = 20

Equation of line 2 is 3 X  + 4 Y = 20

Step-by-step explanation:

Given co ordinates of points as,

( -4 , 8)  and (0 , 5)

From the given two points we can determine the slop of a line

I. e slop (m) = \frac{(y2 - y1)}{(x2 - x1)}

Or,           m  = \frac{(5 - 8)}{(0 + 4)}

So,           m = \frac{(-3)}{(4)}

Now equations of line can be written as ,

Y - y1 = m ( X - x1)

<u>At points ( -4 , 8)</u>

Y - 8   = \frac{(-3)}{(4)} (X + 4)

So , Equation of line 1  is 3 X - 4 Y = 20

<u>Again with points ( 0 , 5)</u>

Y - 5   = \frac{(-3)}{(4)} ( X - 0)

So, Equation of line 2 is 3 X  + 4 Y = 20

Hence Equation of line 1  is 3 X - 4 Y = 20  and Equation of line 2 is 3 X  + 4 Y = 20   Answer

4 0
3 years ago
the sum of the recipocal of two consecutive even number is 7/24.one number is 6.the other number will be​
coldgirl [10]

Answer:

8

Step-by-step explanation:

The numbers are 6 and 2x, then:

  • 1/6 + 1/(2x) = 7/24
  • 1/3 + 1/x = 7/12
  • (x+3)/(3x) = 7/12
  • 12(x+3) = 7*3x
  • 12x + 36 = 21x
  • 21x - 12x = 36
  • 9x = 36
  • x = 4

The other number is 2*4 = 8

6 0
4 years ago
I NEED HELP ASAP I WILL GIVE BRAINLIST
posledela

519.99(.0825) = 42.899

519.99 + 42.899 = $562.89

3 0
3 years ago
Read 2 more answers
Factor out the GCF from the terms of the polynomial –4y5 + 6y3 + 8y2 – 2y. A. –2y4 + 3y2 + 4y – 1 B. y(–4y4 + 6y2 + 8y – 2) C. 2
andreyandreev [35.5K]

Answer:

Option D) -2y(2y^4-3y^2-4y+1) is correct

Therefore -4y^5+6y^3+8y^2-2y=-2y(2y^4-3y^2-4y+1)

Step-by-step explanation:

Given polynomial is -4y^5+6y^3+8y^2-2y

To factorise the given polynomial by taking out the common terms of the given polynomial :

  • -4y^5+6y^3+8y^2-2y
  • =2y(-2y^4+3y^2+4y-1) ( here 2y is GCF common term so taking outside the terms of the polynomial )
  • =-2y(2y^4-3y^2-4y+1) ( now taking (-) outside )

Therefore -4y^5+6y^3+8y^2-2y=-2y(2y^4-3y^2-4y+1)

Option D) -2y(2y^4-3y^2-4y+1) is correct

8 0
3 years ago
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