HELP LAST ATTEMPT ??!!

We want to see where Oliver is making a mistake in his claim.

The correct option is the first one, the simplification on the last step is wrong.

We start with the expression:

[tex]tan( \frac{3*pi}{4} + x)[/tex]

Now, by looking at Olvier's work, we can see that on the last step he writes:

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

This is clearly wrong, as the numerator and the denominator are dont simplify to -1 (this only happens if the numerator is -1 times the denominator), so the left side can't be equal to -1, it actually would be simplified to:

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

Then the correct option is the first option.

If you want to learn more, you can read:

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The sine law of triangles can be proved by dividing the triangle into right-triangles.

Option (c) proves the first equality in the law of sines​

From the question, we have:

h equals to the distance from point C to segment AB

The sine of angle is:

[tex]\mathbf{sin(\theta) = \frac{Opposite}{Hypotenuse}}[/tex]

For angle at A, we have:

[tex]\mathbe{\theta = A}[/tex]

[tex]\mathbf{Hypotenuse = b}\\\mathbf{Opposite = h}[/tex]

So, we have:

[tex]\mathbf{sin(\theta) = \frac{Opposite}{Hypotenuse}}[/tex]

Substitute values for Opposite, Hypotenuse and theta

[tex]\mathbf{sin A = \frac{h}{b}}[/tex]

Similarly

[tex]\mathbf{sin B = \frac{h}{a}}[/tex]

Make h the subject

[tex]\mathbf{h = a\ sinB}[/tex]

Substitute [tex]\mathbf{h = a\ sinB}[/tex] in [tex]\mathbf{sin A = \frac{h}{b}}[/tex]

[tex]\mathbf{sin A = \frac{a\ sinB}{b}}[/tex]

Divide both sides by a

[tex]\mathbf{\frac{sin A}{a} = \frac{sinB}{b}}[/tex]

Hence, the correct option is (c).

Read more about proof of sine law at:

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Answer:

g=4.56

Step-by-step explanation:

g+3.42=7.98

Subtract 3.42 from each side

g+3.42-3.42=7.98-3.42

g=4.56

Answer:

4.56

Step-by-step explanation:

Answer:

if you noticed, it is reduces by 2

so the sequence would be

93, 91, 89, 87, 85, 83

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

Hope this helps!

Answer:

93,91,89,87,85,83

Answer:

If Darren's taxable income is $27,481 and he is the head of household, he will be exempted from tax deductions. If he has already paid $3,847 in federal taxes, he will receive an equivalent amount in return if his tax deduction exceeds his collectible tax. Therefore, his money at the end of the year will total to $31,328.  

Step-by-step explanation:

Answer:

Step-by-step explanation:

he will receive a refund of 346 dollars

i just took the test

Answer:

The answer is 8b

Step-by-step explanation:

Hey, a variable is a filler for an unknown number. Don't let it confuse you too much!

If there were 5 teams, there would be 8(5) = 40 players, right??

With b teams, there are 8b players. We are lazy as mathematicians and don't say 8(b) or 8 x b. It's just 8b.

Thus, The answer is 8b

-TheUnknownScientist 72

Step-by-step explanation:

first you need to tranfer 1 to RHS do the addition

n/3 = 8+1

=) n/3 = 9

then you need to transfer 3 to RHS and multiply

=> n = 9 x 3

there for n = 27

Answer:

the angle is not in standard position

Answer:

It would be g(x) = 2^-x

Step-by-step explanation:

so first of all we need to get rid of the time that isn't spent in class, because the question is asking about the time spent in class. so we would add 30+42 giving us 72 minutes, or 1 hour and 12 minutes. Now we can subtract 1 hour and 12 minutes from 7 hours to find the total time spent in class. Which would give us 5 hours and 48 minutes. (reminder; 60 minutes in 1 hour)

now that we have the total time spent in class, all that is left is division. The equation would be easier to solve when the hours are converted into minutes. 5 hours and 48 minutes equal, 348 minutes. Now we would divide 348 by 6 as there are 6 classes that take 348 minutes in all, and we wanna find how long 1 class takes. 348 divided by 6 would then give us 58. so each class takes 58 minutes.

(srry if the answer is wrong)

Answer:

7.76 minutes

Step-by-step explanation:

The +51 is regardless (being the y intercept) so it does not affect our answer. If the employee has to drive one mile (x=1) it will take 7.76 + 51 min to get there. If they have to drive 0 miles (x=0) it will only take 51 min. This is a difference of 7.76. You really just need to take the slope (I just used this example to make it make more sense) as x is the number of miles the employee has to drive, and therefore that times 7.76 would be how much longer it would take to drive to work.

Answer:

im preety sure its 561500

Step-by-step explanation:

4.1% x 4 is 61500 + 500000 = 561500

Answer:

a) x^3 b) y^5

Step-by-step explanation:

you can combine the x's and y's to make a exponent equal to the number of x's or y's.

Answer:

638.75

Step-by-step explanation:

Well you can actualy do this on a calculator If put in proporly use the 2nd button and push (sin) to get a tax percentage.

Answer:

637.17( not very sure what you mean by round to nearest cent)

Step-by-step explanation:

take the $579.25 and add 10% easiest way is on a calculator

Step-by-step explanation:

The angles a and b are congruent, also c and x are congruent.

Answer:

$2.50 × 4 = $10

so $10 is equal to 4 pairs of socks.

Do you mean one as a whole or number?

This is what I have got:

7/8 because it is only 1/8 less than a whole

Step-by-step explanation:

#G

enjoy. my son haha. lol

Answer:

a table of products of two factors especially the integers 1 to 12 have a nice day

Step-by-step explanation:

:)

Answer:

undefined slope

Step-by-step explanation:

There us change in rise but no change in run or x value. This means is a vertical line and it's slope is undefined.

Answer:

20000

Step-by-step explanation:

You take the first non zero number on the left then add zeros for the remaining digits.

Answer:

53cm

Step-by-step explanation:

11+8+8+11+15=53cm

Answer:

Pay your credit card bill in full and on time every single month, thus paying no interest or fees.

Step-by-step explanation:

In terms of credit-cards, a deadbeat is someone who pays off their bill in full every month, on time. They usually try to avoid paying their debts.

Hence, pay your credit card bill in full and on time every single month, thus paying no interest or fees.

Payment is the exchange of cash, products, or services for a good or service.

Payments are normally made once all parties have concurred on the conditions.

You won't be charged interest or late fees if you pay off your credit card balance in whole and on time each month.

When it comes to credit cards, a deadbeat is someone who consistently pays their balance in full and on time each month.

Deadbeat - one who often avoids paying their own bills or expenditures

Typically, they make an effort to not pay their bills.

Hence, whenever possible, pay off your credit card balance in whole and on schedule to avoid paying interest or other costs.

To know more about the payment;

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#SPJ6

Answer:

$16.25

Step-by-step explanation:

First, you have to find 3.25*5 which is 16.25.

16.25 is the percent rate of your total interest over the course of 5 years.

In other words, you have to do 200*0.1625 which is 32.5.

So, your answer is $16.25.

Good luck!