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3 years ago

The quotient of a number and 0.004 is 60. Find the number

Mathematics

1 answer:

tatuchka [14]3 years ago

7 0

Answer:

Step-by-step explanation:

x/.004 = 60

solve x

x = .24

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Tcecarenko [31]

$\bold{\huge{\green{\underline{ Solution}}}}$

$\bold{\underline{ Given :- }}$

We have given a right angled triangle whose values are m, n and 2

$\bold{\underline{ To \: Find :- }}$

We have to find the value of m and n

$\bold{\underline{ Let's \: Begin :- }}$

In the given right angled triangle, we have

Perpendicular height = n units
Base = 2 units
Hypotenuse = m units

Now, By using trigonometric ratios 

$\bold{\pink{ Sin Φ = }}{\bold{\pink{\frac{Perpendicular }{Hypotenuse}}}}$

$\bold{\red{ Cos Φ = }}{\bold{\red{\frac{Base}{Hypotenuse }}}}$

$\bold{\blue { tan Φ = }}{\bold{\blue{\frac{Perpendicular }{Base }}}}$

According to the question :-

$\bold{ Cos \: 45° = }{\bold{\frac{2}{m}}}$

$\bold{ 1/√2= }{\bold{\frac{2}{m}}}$

$\bold{\red{ m = 2√2 \: units }}$

We know that , Sum of Angles of triangle is 180° .

Therefore, 

Let the unknown angle be x

$\sf{ 45° + x + 90° = 180° }$

$\sf{ x = 180° - 135 ° }$

$\sf{ x = 45° }$

Now, 

$\bold{ Cos \: x° = }{\bold{\frac{n}{2√2}}}$

$\bold{ Cos \: 45° = }{\bold{\frac{n}{2√2}}}$

$\bold{ 1/√2= }{\bold{\frac{n}{2√2}}}$

$\bold { n = 2√2/√2 }$

$\bold{\red{ n = 2\: units }}$

Thus, The value of m = 2√2 and n = 2

$\sf{\blue{ Hence, \: option \: D \: is \: Correct }}$

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timofeeve [1]

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3 years ago

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C is 8 more than half than n

cestrela7 [59]

1/2n+8=c one half of n plus 8 equals c

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4 years ago

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Fynjy0 [20]

Answer:

angle C = 78

angle D = 108

Step-by-step explanation:

the measure of angle A is 102

To find the measure of angle C

let Angle C be x

102 + x = 180 (linear pair)

x = 180 -102

x = 78

angle C = 78

angle B = 78 (vertically opposite angles are equal)

angle D = 108 (vertically opposite angles are equal)

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3 years ago

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Step-by-step explanation:

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3 years ago

The quotient of a number and 0.004 is 60. Find the number​

The quotient of a number and 0.004 is 60. Find the number