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maksim [4K]
4 years ago
7

Simplify the ratio 42:28:21

Mathematics
2 answers:
Readme [11.4K]4 years ago
5 0
It would be 6:4:3 because you divide each number by a factor they all have in common, which would be 7.
Trava [24]4 years ago
4 0

Answer:  The required simplified ratio is 6 : 4 : 3.

Step-by-step explanation:  We are given to simplify the following ratio :

R=42:28:21.

We know that

for any two numbers a and b,

a:b=\dfrac{a}{b}.

We have

42:28=\dfrac{42}{28}=\dfrac{7\times6}{7\times4}=\dfrac{6}{4}.

And,

28:21=\dfrac{28}{21}=\dfrac{7\times4}{7\times3}=\dfrac{4}{3}.

Therefore, we get

42:28:21=6:4:3.

Thus, the required simplified ratio is 6 : 4 : 3.

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Find the formula for the area A and the perimeter P of the shape shown find the area and perimeter when R is 5 cm find R when A
Ghella [55]

Answer:

1)Area; A = ¼πr²

Perimeter; P = πr/2 + 2r

2)A = 19.63 cm²

P = 17.85 cm

3) r = 8.885 cm

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Step-by-step explanation:

This is a quadrant of a circle. Thus;

Area of a circle is πr². A quadrant is a quarter of a circle. Thus;

Formula for Quadrant Area is; A = ¼πr²

A) Perimeter of a circle is 2πr. Thus, perimeter of a quadrant is a quarter of the full circle perimeter.

Formula for the quadrant perimeter in the image given is;

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B) When r is 5 cm;

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P = π(5)/2 + 2(5)

P = 17.85 cm

C) when A is 100cm²:

¼πr² = 100

r² = 100 × 4/π

r² = 78.9358

r = √78.9358

r = 8.885 cm

D) when P = 50 cm.

50 = πr/2 + 2r

50 = (½π + 2)r

r = 50/(½π + 2)

r = 14 cm

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The slope-intercept form of linear equations usually takes the form;

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