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avanturin [10]
2 years ago
10

Divide a line of 1.8m into three parts in the ratio of 5:7:8​

Mathematics
1 answer:
kozerog [31]2 years ago
8 0

Answer:

0.45 m, 0.63 m, 0.72 m

Step-by-step explanation:

Let the three parts of the line be 5x, 7x and 8x

Therefore,

5x + 7x + 8x = 1.8

20x = 1.8

x = 1.8/20

x = 0.09

5x = 5*0.09 = 0.45 m

7x = 7*0.09 = 0.63 m

8x = 8*0.09 = 0.72 m

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I don’t know how to answer the question
OlgaM077 [116]

Let the partitions of the segment be 5k and 3k .
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5k+3k = length of segment
Suppose the length of segment is y
8k = y
k = y/8
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Hence ,
5k = 5(y/8)
3k = 3(y/8)
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As the value of the segment wasn't given , it seems a bit complicated..
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Hope u understand!

6 0
3 years ago
Match the points on the number line with the rational numbers.
svetoff [14.1K]
Where is the number line
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3 years ago
Solve this equation by completing the square: x2 + 4x – 13 = –8
marishachu [46]

Answer:

x = 1 or x = -5

Step-by-step explanation:

We are given;

  • The quadratic equation, x² + 4x - 13 = -8

We are required to solve the equation using the completing square method.

To do this, we use the following steps;

Step 1: We make sure the coefficient of x² is one

x² + 4x - 13 = -8

Step 2: Combine the like terms (take the constant term to the other side)

x² + 4x - 13 = -8

x² + 4x = -8 + 13

we get

x² + 4x  = 5

Step 3: We add the square of half the coefficient of x on both sides of the equation

Coefficient of x = 4

Half of coefficient of x = 2

Square of half the coefficient of x = 2² (4)

We get;

x² + 4x + (2²)  = 5 + (2²)

Step 4: Put x and 2 under one square and the solve the other side of the equation.

We get

(x + 2)² = 5 + 4

(x + 2)² = 9

Step 5: Get the square root on both sides of the equation;

(x + 2)² = 9

√(x + 2)² = ±√9

(x + 2)= ±3

Therefore;

x+2 = + 3 or x + 2 = -3

Thus, x = 1 or -5

The solution of the equation is x = 1 or x = -5

6 0
3 years ago
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andreev551 [17]
16 because 16 has 1,2,4,8 and itself (16)
4 0
3 years ago
Which statement illustrates the distributive property? A.3 (4 + 5) = 3 (4) + 5 B. 3 (4 + 5) = 3 (4) + 3 (5) C.3 [(4) (5)] = 3 (4
patriot [66]

Answer:

B. 3(4+5) = 3(4) + 3(5)

Step-by-step explanation:

with distributive property, you multiply the number outside the parentheses to all of the numbers inside.

8 0
3 years ago
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