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2 years ago

2. Find two equivalent ratios of the following ratios: a) 27 : 9 b) 7 : 35

Mathematics

1 answer:

Luda [366]2 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

Equivalent ratios are found by multiplying or dividing the parts of the ratio by the same value.

27 : 9 ( divide both parts by 9 )

= 3 : 1

(b)

7 : 35 ( divide both parts by 7 )

= 1 : 5

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$\tt{ Hey \: there , \: Mr.Panda \: ! }$ ;)

♨ $\large{ \tt{ E \: X \: P \: L \: A \: N \: A \: T \: I\: O \: N}}:$

⤻ Before solving the given question , you should know the answer of these questions :

✺How do you find the hypotenuse , perpendicular and base when the angle ( $\theta \: , \alpha \: ,\beta$ ) is given ?

⇾ The longest side , which is the opposite side of right angle is the hypotenuse ( h ). There are two other sides , the opposite and the adjacent. The naming of these sides depends upon which angle is involved. The opposite is the side opposite the angle involved and it is called the perpendicular ( p ) . The adjacent us the side next to the angle involved ( buy not the hypotenuse ) and it is called the base ( b ).

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❈ $\large{ \tt{GIVEN}} :$

Perpendicular ( p ) = ? , Hypotenuse ( h ) = 18 & base ( b ) = 16

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Value of tan $\theta$

✎ $\large{ \tt{SOLUTION}} :$

Firstly , Finding the value of perpendicular ( p ) using Pythagoras theorem :

❃ $\boxed{ \sf{ {h}^{2} = {p}^{2} + {b}^{2} }}$ [ Pythagoras theorem ]

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$\large{⇢ \sf{p = \sqrt{68}}}$

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