Evaluate 4tan 45°. can someone help me im confused

Given :  tan 235 = 2 tan 20 + tan 215

To Find : prove that

Solution:

tan 235 = 2 tan 20 + tan 215

Tan x = Tan (180 + x)

tan 235 = tan ( 180 + 55) = tan55

tan 215 = tan (180 + 35) = tan 35

=> tan 55 = 2tan 20 + tan 35

55 = 20 + 35

=> 20  = 55 - 35

taking Tan both sides

=> Tan 20 = Tan ( 55 - 35)

=> Tan 20  = (Tan55 - Tan35) /(1 + Tan55 . Tan35)

Tan35 = Cot55 = 1/tan55 => Tan55 . Tan35 =1

=> Tan 20  = (Tan 55 - Tan 35) /(1 + 1)

=> Tan 20  = (Tan 55 - Tan 35) /2

=> 2 Tan 20  = Tan 55 - Tan 35

=> 2 Tan 20 +  Tan 35 = Tan 55

=>  tan 55 = 2tan 20 + tan 35

=>  tan 235 = 2tan 20 + tan 215

QED

Hence Proved

Answer:

2

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

Locate x = - 3 on the x- axis, go vertically up to meet the graph at (- 3, 2 )

Then when x = - 3, y = 2

the greatest common factor of 24 and 36 is 12

Answer:

12

Step-by-step explanation:

Answer:

The answer is 10 units because if you add up all the units that would be on the side you will get 10

Step-by-step explanation:

Answer:

Im not sure but it might be the fourth one.

Step-by-step explanation:

if its wrong im SOOO sorry :(

Answer:

Step-by-step explanation:

1.24 * 0.15 = 0.0186

As you can see, the numbers are the same, but the order of the decimal is different.

Since the order of the decimal is different, so will the answer.

1,860 and 0.0186 do have the same numbers in them, but since the decimal is located in different spots, then the answer will be different with different values.

You might not see the decimal in 1,860, but it is after the 0.....

1,860.0 ( same thing just added a decimal, but it is the same value)

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Distribute the parentheses:

2(x + 1)

2 · x = 2x

2 · 1 = 2

2(x + 1) = 2x + 2

Step-by-step explanation:

sin2x - sinx = 0

2sinxcosx - sinx = 0

(Double Angle Formula)

sinx(2cosx - 1) = 0

Either sinx = 0 or cosx = 1/2.

When sinx = 0,

x = 0 or x = π.

When cosx = 1/2,

x = π/3 or x = 5π/3.

Hence the solutions are

x = 0, x = π/3, x = π or x = 5π/3.

Answer:

by distributing you need to multiple by using the 7 in front and use that 7 to multiply each number inside

1. -7(-4+x) -> 28-7x

2. 7(4+x) -> 28+7x

3. 7(-4-x) -> -28-7x

4. -7(4-x)-> -28+7x

Answer: Use the formula y = mx + b in order to solve for b. Then, plug in known vaules.

y= -13x -57

Step-by-step explanation:

Answer:

[tex]\frac{1}{3x^{\frac{4}{5}}}[/tex]

Step-by-step explanation:

Subtract the exponents: 3/5 - 7/5 = -4/5

Equation would become 3^-4/5

Which is equivalent to 1/3x^4/5

Answer:

I think that it is n<3

Step-by-step explanation:

Answer:part A including SD cards, Theresa and Ruben have 2.624 x 10^11 bits of storage.

Part b :32 bits

Step-by-step explanation:sorry that's all I know

Hope I helped

The required, solution of the given numeral in scientific notation is shown.

Scientific notation is a method of writing extremely large or extremely small numbers. When a number between 1 and 10 is multiplied by a power of 10, it is written in scientific notation.

Here,

Part A: Including the SD cards, how many combined bits of storage do Theresa and Ruben have on their phones?

Answer: 6.4 × 10¹¹ bits

Part B: How many combined bits of storage do Theresa’s parents have on their phones?

Answer:  2.4 × 10¹¹ bits

Part C: How many combined bits of storage are there on the two tablets?

Answer: 3.6 × 10¹⁰ bits

Part D: Including the phones, tablets, and cloud, how many total bits of storage does the family have altogether?
Answer:6.9 × 10¹² bits

Part E: Theresa’s computer at home has 1 terabyte of storage. How many more bits of storage does her computer have than the combined bits available on her family’s phones, tablets, and cloud storage?
Answer:8.6 × 10¹² bits

Learn more about scientific notation here: https://brainly.com/question/13091583
#SPJ3

Answer:

there are no factors of -15 that add up to 3

Answer:

It is A trust me

Step-by-step explanation:

Answer:

37.5 feet per second

Step-by-step explanation:

Answer:

37.5 ft per second

Step-by-step explanation:

Answer:

2x(5+13)

Step-by-step explanation:

add then multiply by 2

Answer:

to find perimeter

= 2(L+w)

= 2(5+13)

10+26

36

so the answer is 2×(5+13)

hope it's helpful ❤❤❤❤

THANK YOU.

Answer:

y = 2

Step-by-step explanation:

y=2 every time you add 3 to x your adding 2 to the y

-3 + 3 = 0 and 3 + 2 = 5

0 + 3 = 3 and 5 + 2 = 7

Answer:

Step-by-step explanation:

given:

[tex]f(x)=x^2[/tex]

[tex]f(3)=3^2[/tex]

[tex]f(3)=9[/tex]

just insert the value in and you get your answer

Answer:

it's -7 + 5= -2 I think im not sure

Answer:

the top number is the answer and the remainder is the bottom number  in decimals its = 5.31

Step-by-step explanation:

hope this helped

12 cause that is the max amount of girls and there is no other way to get the groups even if you go over.

Answer:

The concession stand sold  46  hot dogs and  32  hamburgers.

Step-by-step explanation:

Answer:

t(x) = 948(0.955)^x

Answer:A

Step-by-step explanation:

Answer:

I'll help you with this so reflections is not hard.

For reflect over x-axis you need to switch the sign on Y. formula for points like this is (x,y). An example is reflect (2,4) over the x-axis. you just change the sign of y making the answer (2,-4).

For reflect over y-axis you change the sign of X.For example reflect over the y-axis (3,7) all you have to do is change the sign of X which leaves you with the answer of (-3,7).

sign is basically + or - if need to know.

I hope this helps you in the long run.

Answer:

90 degrees

Step-by-step explanation:

90 degrees hhgffdfkgdf

Answer:

90 degrees clockwise rotation

Step-by-step explanation:

Because

Answer:

No

Step-by-step explanation:

For 3 to be factor your finale number has to be divisible by 3, so with that information all you have to do is subtract 245-16 which is 229, and if you divide 229 by 3 it does not equal a whole number so 3 cannot be a factor.

I hope this helps, and have a great day! :D

Answer:

44 pairs of boots

Step-by-step explanation:

As per two options given to Alice,

1). Wages of $33 for each day work + commission of $2.5 for every pair sold.

 If Alice sells x pairs of boots in a day, then total amount earned by Alice,

 = (33 + 2.5x)

2). Commission of $3.25 for every boot sold.

  If Alice sold x pairs of boots, total earnings of the day = 3.25x

If earning of Alice is equal in both the plans,

(33 + 2.5x) = 3.25x

3.25x - 2.5x = 33

0.75x = 33

x = 44

Therefore, for the sales of 44 pairs of the boots Alice will earn equal by both the plans.

Answer:

6.5

Step-by-step explanation:

8÷tan(51)=6.47...

              =6.5(correct to the nearest tenth)

Answer:

580

Step-by-step explanation: