We can chang efractions to compare them by multiplying them by 1 or x/x where x=x so

1/2=7/12?
make bottom numbers equal
2 times what=12
divide 2
what=6

1/2 times 6/6=6/12
6/12=7/12
6=7
false

so therefor it does NOT equal 7/12

3 0

3 years ago

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A safety regulation states that the maximum angle of elevation for a rescue ladder is 72°. A fire department's longest ladder is

Julli [10]

Answer:

The maximum safe rescue height is 104.6 feet above the height of the ground.

Step-by-step explanation:

Consider a triangle ABC where C is the point where the rescue ladder is standing and AB be the building and Ladder making an angle of 72° as shown.

We have to find the height of the building.

Let x be the height of building

Using Trigonometric ratio,

$\sin C=\frac{\text{Perpendicular}}{\text{Hypotenuse}}$

$\sin 72^{\circ}=\frac{AB}{BC}$

$\sin 72^{\circ}=\frac{x}{110}$

$x=110 \times \sin 72^{\circ}$

$x=104.6$

So, the maximum safe rescue height is 104.6 feet above the height of

the ground.

5 0

3 years ago

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What is the inverse of the function f(x) = 2x + 1?

Alexandra [31]

Answer:

$f^{-1}$ (x) = $\frac{x-1}{2}$

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2 ( divide both sides by 2 )

$\frac{y-1}{2}$ = x

Change y back into terms of x and let x = $f^{-1}$ (x), thus

$f^{-1}$ (x ) = $\frac{x-1}{2}$

6 0

3 years ago

ASAP!!! PLEASE help me with this question!

Aloiza [94]

Pretty sure it’s a circle , why would it be a rectangle and a right angle

6 0

3 years ago