29-{-36-(-27-31)+40}

[tex]\qquad \sf  \: \huge \bf༆ Answer ༄[/tex]

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \: f(x) = \tan(x) [/tex]

[tex]\qquad \sf  \dashrightarrow \: f(2x) = \tan(2x) [/tex]

[tex]\qquad \sf  \dashrightarrow \: f(2x) = \dfrac{2 \tan(x) }{1 - { \tan {}^{2} (x) }^{} } [/tex]

replace tan(x) with f(x) in the given equation ~

[tex]\qquad \sf  \dashrightarrow \: f(2x) = \dfrac{2 (f(x) )}{1 - { (f {}^{} (x)) {}^{2} }^{} } [/tex]

The expression that was proved is [tex]tan2x=\frac{2[f(x)]}{1-[f(x)^2]}[/tex]

Given the trigonometry identity

f(x) = tanx

f(2x)  tan2x

From double angle theorem;

[tex]tan2x=\frac{tanx+tanx}{1-tanx(tanx)} \\tan2x=\frac{2tanx}{1-tan^2x}[/tex]

Since f(x) = tan(x), substitute into the result to have:

[tex]tan2x=\frac{2[f(x)]}{1-[f(x)^2]}[/tex] (Proved)

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Answer:

5

Step-by-step explanation:

Answer: GCF = 6, LCM = 72

Step-by-step explanation:

The prime factorization of 18 is 2*3^2 and the prime factorization of 24 is 2^3*3

Therefore, the gcf is 2*3 = 6.

The lcm is 2^3*3^2 = 8*9 = 72

Answer:

So 2:14 and 3:21 are two ratios that are equal to 1:7. Students are also asked to determine whether two given ratios are equal, by first writing each ratio as a fraction, then writing each fraction in lowest terms. If the two fractions are the same when written in lowest terms, then the ratios are equal.

Step-by-step explanation:

Above

Please Mark brainliest if this helped i need 3 more!

Answer:

2:14 or 3:21

Step-by-step explanation:

because u multiply

Answer:

mean and range

arrangement before: 24,25,25,26,27

arrangement after: 24,25,25,25,26,27,28

mean before: (27+25+24+26+25)/5 = 25.4

mean after: (27+25+24+26+25+25+28))/5 = 25.7

median before: 25

median after: 25

mode before: 25

mode after: 25

range before: 24 to 27

range after: 24 to 28

hence, the mean and range were affected while the median and mode remained unchanged.

Rational expressions are expressions that can be represented as fractions

The solution to the sum of the rational expressions is [tex]\frac{5x^2 + 7x + 49}{x^2 + 7x}[/tex]

The student operation is given as:

[tex]\frac { 5 x } { x + 7 } + \frac { 7} { x } = \frac { 5 x } { x + 7 } + \frac { 7 ( 7 ) } { x + 7 } = \frac{5x + 49}{x + 7}[/tex]

The student's error is that, he multiplied the numerator of 7/x by 7, and he added 7 to the denominator

The correction is as follows:

[tex]\frac { 5 x } { x + 7 } + \frac { 7} { x }[/tex]

Take the LCM

[tex]\frac { 5 x } { x + 7 } + \frac { 7} { x } = \frac{5x^2 + 7(x + 7)}{(x + 7)x}[/tex]

Open the brackets

[tex]\frac { 5 x } { x + 7 } + \frac { 7} { x } = \frac{5x^2 + 7x + 49}{x^2 + 7x}[/tex]

Hence, the solution to the sum of the rational expressions is [tex]\frac{5x^2 + 7x + 49}{x^2 + 7x}[/tex]

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Answer:

53 dollars and 33 cents

Step-by-step explanation:

53.33

We are given –

Paulo has R$ 80.00 and Carlos has 2/3 of that amount.

We are asked to find, how much Carlos owns and how much they have together.

Explanation :-

At first, we just need to multiply 80by 2, and then we will divide the value by 3, so we find that:

[tex]\qquad[/tex][tex] \bf \longrightarrow 80 \times 2 = 160[/tex]

[tex]\qquad[/tex][tex] \bf \longrightarrow \dfrac{160}{3} = 53.3[/tex]

Therefore, we find that Carlos has 53.3 R$.

Now to find out how much they have together. We have to add Paul's amount to Carlos' amount for that.

[tex]\qquad[/tex][tex] \bf \longrightarrow 53.3 +80 =133.3[/tex]

Henceforth, they both have 133.3 R$. together.

Answer:

23 years old

Step-by-step explanation:

Given the following question:
Ricky is 5 years older than Ciara...
6 years their ages will equal 53 years of age.

So, we have to remember that in six years their ages will equal 53 and one is five years older than the other.

[tex]23+6=29[/tex]
[tex]18+6=24[/tex]
[tex]29-5=24[/tex]
[tex]29+24=53[/tex]
[tex]29-6=23[/tex]
[tex]=23[/tex]

Which means Ricky as of right now is "23 years of age" and Ciara as of right now is "18 years of age".

Hope this helps.

======================================================

Explanation:

Focus on the outer ring of numbers only.

The left arm of the angle points at 140. The right arm points at 15. The difference of which is 140-15 = 125

---------------

Alternatively, focus on the inner ring of numbers only.

The left arm points at 40 and the right arm points at 165.

165-40 = 125

We get the same answer as before.

Answer:

Step-by-step explanation:

Hello!

140 -15 =>125°

Answer:

I think that the answer is d=-7

Step-by-step explanation:

-3(z-7)

-3z+21

z=-7

Answer:

1=C

2=E

3=D

4=B

5=A

Step-by-step explanation:

Answer:

b no solution

Step-by-step explanation:

there is no solution

Answer:

The answer is B

Step-by-step explanation:

And B is no solution.

Hope this helps!

Answer:

6

Step-by-step explanation:

[tex] \frac{2}{5} \times 15 = 6[/tex]

[tex]15\div5\times2=6\:or\:15\times\dfrac{2}{5}=6 \\\text{Answer: 6}[/tex]

Answer:

Step-by-step explanation:

This might be hard, but here we go.

Given equation:

Solve:

Solve 2nd equation:

Surface area = 96 cm².

Answer:

9.5 mm

Step-by-step explanation:

They gave the diameter, and we needed to find the radius

r = d × 1/2

r = 19 × 1/2

r = 9.5 mm

Answer: Not fair

Step-by-step explanation: Since the fractions and rations are unbelievably rigid, this question is no doubt going to the creaser side.

There is 15 bars in each case.

Subtract 8 from 143 and you get 135.

Divide 135 by 9 and you get 15 :)

Answer:

143 - 8 = 135

Then 135 ÷ 9 = 15

Answer 15 bars in each case.

Answer: 8 60 70 i think if i am wrong pls let me know ty :D

Step-by-step explanation:

Answer:

y = 4x - 57

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~~

( 15 , 3 )

( 19 , 19 )

m = [tex]\frac{19-3}{19-15}[/tex] = 4

y - 3 = 4 ( x - 15 )

y = 4x - 57

The equation illustrates that the temperature by 11:30 am will be 2 degree Celcius.

It should be noted that there are 3 hours and 30 minutes from 8 am to 11.30 am.

Therefore, the temperature by 11:30 will be:

= -5 + 2(3.5)

= -5 + 7

= 2°

In conclusion, the correct option is 2°.

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Answer: 126 in

I used a calculator. It matches.

hope this helps =)

Answer:

machikne up girls i will help you 4 cubic centimeter are in the completed display

The volume of the prism, when it is dilated by a scale factor of 3 changed as 7290 meter cube.

The dilation of the solids is the change of the size of it with a factor, by which it is bigger or smaller from original shape.

Given information-

The volume of the prism is 270 meter cube.

The scale factor of dilation is 3.

As the volume of the prism is 270. The dilation is done by the scale factor of 3. Thus the change in the shape for three dimensions is,

[tex]\Delta =3^3\\\Delta=27[/tex]

Now the volume of the prism is 270. To find the volume of the dilated prism, multiplied 27 by the volume of given prism. Thus the volume of the dilated prism is,

[tex]V_d=27\times270\\V_d=7290\rm m^3[/tex]

Hence, The volume of the prism, when it is dilated by a scale factor of 3 is 7290 meter cube.

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Answer:

4x3/4=3

Step-by-step explanation:

Multiplication(Do the multiplication first): 4x3/4=12/4=3

Division(Do the division first): 4x0.75=3

Hope this helped! Please give Brainliest if possible.

Answer:

600.

Step-by-step explanation:

Hope this helps!