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2 years ago

Write 37/22 as a decimal rounded to the nearest hundredth.

Mathematics

2 answers:

REY [17]2 years ago

7 0

Answer: The given number rounded to nearest hundredth is 1.68.

Step-by-step explanation: We are given to write $\dfrac{37}{22}$ as a decimal rounded to nearest hundredth.

Let the required number be represented by D.

We have

$D=\dfrac{37}{22}=1.68181...$

Rounding to nearest hundredth, we get

D = 1.68.

Thus, the given number rounded to nearest hundredth is 1.68.

Elza [17]2 years ago

5 0

The correct answer is 1.68

Simplify divide 37÷22

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Integral 1+cos8x/tan2x-cot2x

UkoKoshka [18]

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 $8cosx^8 - 16cosx^6+10cosx^4-2cosx^2$ 

Alternately, you can write [1 / (tan(2x) - cot(2x))] + [cos(8x) / (tan(2x) - cot(2x))].

 $\dfrac{1}{tan(2x)-cot(2x)}+ \dfrac{cos(8x)}{tan(2x)-cot(2x)}$

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2 years ago

Show tan(???? − ????) = tan(????)−tan(????) / 1+tan(????) tan(????) .

anyanavicka [17]

Answer:

See the proof below

Step-by-step explanation:

For this case we need to proof the following identity:

$tan(x-y) = \frac{tan(x) -tan(y)}{1+ tan(x) tan(y)}$

We need to begin with the definition of tangent:

$tan (x) =\frac{sin(x)}{cos(x)}$

So we can replace into our formula and we got:

$tan(x-y) = \frac{sin(x-y)}{cos(x-y)}$ (1)

We have the following identities useful for this case:

$sin(a-b) = sin(a) cos(b) - sin(b) cos(a)$

$cos(a-b) = cos(a) cos(b) + sin (a) sin(b)$

If we apply the identities into our equation (1) we got:

$tan(x-y) = \frac{sin(x) cos(y) - sin(y) cos(x)}{sin(x) sin(y) + cos(x) cos(y)}$ (2)

Now we can divide the numerator and denominato from expression (2) by $\frac{1}{cos(x) cos(y)}$ and we got this:

$tan(x-y) = \frac{\frac{sin(x) cos(y)}{cos(x) cos(y)} - \frac{sin(y) cos(x)}{cos(x) cos(y)}}{\frac{sin(x) sin(y)}{cos(x) cos(y)} +\frac{cos(x) cos(y)}{cos(x) cos(y)}}$

And simplifying we got:

$tan(x-y) = \frac{tan(x) -tan(y)}{1+ tan(x) tan(y)}$

And this identity is satisfied for all:

$(x-y) \neq \frac{\pi}{2} +n\pi$

8 0

2 years ago

Can anyone help me figure out the answer to this

Alex17521 [72]

3x-11=17-4x add 4x to both sides

7x-11=17 add 11 to both sides

7x=28 divide both sides by 7

x=4

4 0

3 years ago

In 3-4 sentences, describe how you would find a line parallel to the line 2x + 5y = 15 that goes through the point (-10, 1). Be

larisa86 [58]

the parallel line is 2x+5y+15=0.

Step-by-step explanation:

ok I hope it will work

soo,

Solution

given,

given parallel line 2x+5y=15

which goes through the point (-10,1)

now,

let 2x+5y=15 be equation no.1

then the line which is parallel to the equation 1st

2 x+5y+k = 0 let it be equation no.2

now the equation no.2 passes through the point (-10,1)

or, 2x+5y+k =0

or, 2*-10+5*1+k= 0

or, -20+5+k= 0

or, -15+k= 0

or, k= 15

putting the value of k in equation no.2 we get,

or, 2x+5y+k=0

or, 2x+5y+15=0

which is a required line.

6 0

8 months ago

{(-3.7).(-5, -8), (-6, -1). (-9, -1), (0, -3) }

zhenek [66]

Answer:

The domain is the set of all the values of x, so it would be -3, -5, -6, -9, 0. The range would be every set of y, so it would be 7, -8, -1, -3. Finally, this relation is indeed a function.

Domain: -3, -5, -6, -9, 0

Range: 7, -8, -1, -3

Is it a function? Yes

4 0

2 years ago