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3 years ago

The sun of three conservative integers is -204. what is the largest integer?

Mathematics

1 answer:

Digiron [165]3 years ago

7 0

let us take the smallest integer as x

the second smallest as x+1

and the largest as x+2

since the sum is -204 we should add all of it to get the answer

therefore x+x+1+x+2=-204

3x+3=-204

3x=-204-3

3x=-207

x=-207/3

x=-69

the largest number is x+2

therefore the largest number is -67

to check whether it is right just add them and check whether we get - 204

therefore -69+-68+-67=

-204

therefore the answer is -67

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2 years ago

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Step-by-step explanation:

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3 years ago

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3 years ago

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9. A ladder of length 23 feet leans against the side of a building. The angle of elevation of the ladder is 76. Find the distanc

irakobra [83]

<h3>Answer:</h3>

B) 22.32 feet

$\quad\rule{300pt}{1pt}$

<h3>Solution:</h3>

we are given that , a ladder is placed against a side of building , which forms a right angled triangle . We wre given one side of a right angled triangle ( hypotenuse ) as 23 feet and the angle of elevation as 76 ° . We can find the Perpendicular distance from the top of the ladder go to the ground by using the trigonometric identity:

$\qquad\quad\bull ~{\boxed{\bf{ Sin\theta =\dfrac{Perpendicular}{Hypotenuse}}} }~\bull$

Here,

hypotenuse = 23 feet
$\theta$ = 76°
Value of Sin $\theta$ = 0.97
Perpendicular = ?

$\quad\dashrightarrow\quad \sf { sin\theta =\dfrac{P}{H}}$

$\quad\dashrightarrow\quad \sf { sin76° =\dfrac{P}{23}}$

$\quad\dashrightarrow\quad \sf { 0.97=\dfrac{P}{23}}$

$\quad\dashrightarrow\quad \sf {P = 0.97 \times 23 }$

$\quad\dashrightarrow\quad \sf { P = 22.32}$

‎ㅤ‎ㅤ‎ㅤ~Hence, the distance from the top of the ladder to the ground is 22.32 feet !

$\rule{300pt}{2pt}$

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