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2 years ago

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.

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

Read related link on:

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2 years ago

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kykrilka [37]

Answer:

$opposite\approx 70.02$

Step-by-step explanation:

The triangle in the given problem is a right triangle, as the tower forms a right angle with the ground. This means that one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are as follows;

$sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}$

Please note that the names ( $opposite$ ) and ( $adjacent$ ) are subjective and change depending on the angle one uses in the ratio. However the name ( $hypotenuse$ ) refers to the side opposite the right angle, and thus it doesn't change depending on the reference angle.

In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent ( $tan$ ) ratio.