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Vladimir79 [104]
2 years ago
13

Select two ratios that are equivalent to 4:18.

Mathematics
1 answer:
dedylja [7]2 years ago
7 0

Answer: The two ratios that are equivalent to 4:18 include 2:9 and 8:36

Step-by-step explanation:

To be able to solve this question, we've to simplify the given ratio. Therefore, 4:18 will be reduced to the lowest term and this will be:

= 4/18 = 2/9

Also, when 4/18 is multiplied by 2 for both the numerator and denominator, the value will be:

= 4×2/18×2

= 8/36

Therefore, the correct options will be B(2:9) and E(8:36).

it is easy.....

first, convert this ratio into a fraction

4 : 18 = 4/18

now , equivalent fractions

= 4 = 4 × 2 , 4 × 3

18 = 18 × 2 ,18 × 3

now answer

= 4/18 , 8/36 , 12/54

again covert into ratio

= 4:18 , 8:36 , 12:54

36 and 2 are (the GCF and the LCM)

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

36

Find the prime factors of each term to find the greatest common factor (GCF).

2

Read related link on:

brainly.com/question/11418758

Also:

https://brainly.in/question/33338810

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Maksim231197 [3]
1) To find x we are going to use the Pythagorean equation:
 x= \sqrt{a^{2}+b^{2}  }
where 
a and b are the legs of our triangle. For our picture we can infer that a=10 and b=8, so lets replace those values in our equation to find x:
x= \sqrt{10^{2}+8^{2}}
x= \sqrt{100+64}
x= \sqrt{164}
x=12.8
We can conclude that the value of x in our triangle is 12.8

2) To find y we are going to use the trigonometric function tangent. Remember that tan(y)= \frac{opposite}{adjacent}. We know that the opposite side of our angle y is 8, and its adjacent side is 10, so lets replace those values in our tangent function to find y:
tan(y)= \frac{8}{10}
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y=arctan(0.8)
y=38.66
We can conclude that the value of y in our triangle is 38.66°

3) Finally, to find z we are going to take advantage of two facts: the sum of the interior angles of a triangle is always 180°, and  our triangle is a right one, so one of its sides is 90°. Therefore, y+z+90=180. Since we already know the value of y, lets replace it in our equation and solve for z:
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We can conclude that the measure of angle z is 51.34°


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3 years ago
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The volume of gas in a container at a constant temperature varies inversely as the pressure. If the volume is 32 cubic centimete
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Step-by-step explanation:

Given that,

The volume of gas in a container at a constant temperature varies inversely as the pressure.

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We need to find pressure P_2.

According to question,

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Putting all the values

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Step-by-step explanation:

I hope this helped-

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