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2 years ago

If a/4 = b/7, what is the value of a-b/b?

Mathematics

1 answer:

Vladimir [108]2 years ago

6 0

3 all you have to do is divide 7 by seven and get 1 and after subtract 4 by 1 and you get 3.

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Solve the equation for all real values of x. cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

Step-by-step explanation:

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

3 0

2 years ago

Whats the cube root of 216. Please Explain why also.

aniked [119]

Answer:6
If you were to multiply 6*6*6 you would get 216

6 0

2 years ago

Find the area of the composite figure shown below.

VARVARA [1.3K]

I think it might be c or A

3 0

2 years ago

Minor arc KL measures 135°. Circle O is shown. Line segments K O and O L are radii. Which is the radian measure of central angle

snow_lady [41]

StartFraction 3 pi Over 4 EndFraction radians

Step-by-step explanation:

Pi radians is equal to 180°

Given the minor arc angles as 135°, change this value to pi radians

180° =π radians

135° = ?

Cross multiply

135° * π radians / 180°

=135/180 * π radians

=3 π/4 radians

Learn More

Changing degrees to radians :brainly.com/question/12095161

Keywords: minor arc, measure, circle, line segment, radii, central angle

#LearnwithBrainly

3 0

2 years ago

Read 2 more answers

Ents

Natali5045456 [20]

Answer:

48 ≥ 4x + 2y

44 ≥ 2x + 2y

First, we will look at assembling hours.

"The standard model requires 4 hours to assemble [and] the artisan model requires 2 hours to assemble"

We also know they have 48 hours per day for assembly, x is standard model and y is artisan model.

48 = 4x + 2y

Lastly, they do not need to make that many, but they can so we will use greater than or equal to.

48 ≥ 4x + 2y

Now let us look at finishing hours.

"The standard model requires ... 2 hours for finishing touches. The artisan model requires ... 2 hours for finishing touches."

We also know they have 44 hours per day for assembly, x is standard model and y is artisan model.

44 = 2x + 2y

Again, they do not need to make that many, but they can so we will use greater than or equal to.

44 ≥ 2x + 2y

5 0

1 year ago