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2 years ago

4{x + 6} = 38 what is the value of x

Mathematics

1 answer:

Softa [21]2 years ago

3 0

Answer:

x=8

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

4x+6−6=38−6

4x=32

Step 2: Divide both sides by 4.

x=8

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Please help asap 25 pts

nikitadnepr [17]

$4y-8-2y+5=0\\\\(4y-2y)+(-8+5)+0\\\\2y-3=0\qquad|\text{add 3 to both sides}\\\\2y=3\qquad|\text{divide both sides by 2}\\\\y=\dfrac{3}{2}\\\\\boxed{y=1\dfrac{1}{2}}\to\boxed{c.}$

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2 years ago

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I don't need you to work it out, just theorem(s) i need to reach the answer :)

VikaD [51]

Not sure why such an old question is showing up on my feed...

Anyway, let $x=\tan^{-1}\dfrac43$ and $y=\sin^{-1}\dfrac35$ . Then we want to find the exact value of $\cos(x-y)$ .

Use the angle difference identity:

$\cos(x-y)=\cos x\cos y+\sin x\sin y$

and right away we find $\sin y=\dfrac35$ . By the Pythagorean theorem, we also find $\cos y=\dfrac45$ . (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if $\tan x=\dfrac43$ , then (by Pythagorean theorem) $\sec x=\dfrac53$ , so $\cos x=\dfrac35$ . And from this, $\sin x=\dfrac45$ .

So,

$\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}$

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3 years ago

What is 10 divided by 5/12

Svetllana [295]

The answer is 24 now goodluck with your homework

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2 years ago

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A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the

Natali5045456 [20]

Given :

A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water.

To Find :

The height of the dock.

Solution :

This will make a right angle triangle as given in link below .

Now , applying Pythagoras theorem :

$(2h+3)^2=h^2+12^2\\\\4h^2+9h+9=h^2+144\\\\h^2+4h-45=0\\\\(h-5)(h+9)=0$

Now , h = 5 or h = -9 .

Now , height cannot be negative .

So , height of the dock is 5 ft .

Hence , this is the required solution .

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2 years ago

Angle e measures 126LaTeX: ^\circ∘. What is the measure of LaTeX: \angle∠h?

SVEN [57.7K]

Answer:

$m\angle h=126^o$

Step-by-step explanation:

we know hat

<u><em>Vertical Angles</em></u> are the angles opposite each other when two lines cross. They are always congruent.

In this problem

$m\angle h=m\angle e$ ----> by vertical angles

we have

$m\angle e=126^o$ ---> given problem

therefore

$m\angle h=126^o$

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2 years ago