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2 years ago

Needs help please :)

Mathematics

1 answer:

Degger [83]2 years ago

8 0

the thing is I can't see it prop ley:(

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Prove : (sec θ - tan θ )^2 = 1 - sin θ /1+sin θ

labwork [276]

$(sec x - tan x)^2 \\ \\ = sec^2x - 2 sec x tan x + tan^2 x \\ \\ =(1+tan^2 x) - 2 sec x tan x +tan^2 x \\ \\ =1 - 2 sec x tan x + 2 tan^2 x \\ \\ = 1 - 2tan x(sec x - tan x) \\ \\ =1 - \frac{2 sin x}{cos x} (\frac{1-sin x}{cos x}) \\ \\ = 1 - \frac{2 sin x (1-sin x)}{cos^2 x} \\ \\ =1 - \frac{2 sin x (1-sin x)}{1-sin^2 x} \\ \\ =1 - \frac{2 sin x (1-sin x)}{(1-sin x)(1+sin x)} \\ \\ =1-\frac{2 sin x}{1+sin x}$

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2 years ago

Round 10,982 to the nearest hundred

zvonat [6]

Answer:

4568

Step-by-step explanation:

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2 years ago

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Angie earns $55000 per year. Each year she revives a $1700 increase in annual salary. What will Angie's annual salary be for the

brilliants [131]

If she starts with 55000 per year, and she get 1700 per year extra, after fifteen years this extra will be 1700*15, or 25500. Add this to her original salary of 55000 per year to get $80500.

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2 years ago

My sister can walk from school to home in 35 minutes. I can walk from school to home in 20 minutes. But today I stayed for some

Verizon [17]

Answer:

you both will reach the home at the same time.

I) You can catch your sister.

ii) Reason: you both will reach home at the same time.

Step-by-step explanation:

Let "d" be distance from school to home.

Let's find the speed of you and your sister.

Speed = $\frac{Distance}{Time}$

Your speed = $\frac{d}{20}$

Your sister's speed = $\frac{d}{35}$

Today, You stayed for some extra help by the time your sister covered $\frac{3}{7}$ of the way home.

Remaining distance to reach the home = $1 - \frac{3}{7}d = \frac{7-3}{7}d = \frac{4}{7}d$

Now let's find the time to be taken your sister to reach the home.

Time = $\frac{distance}{speed}$

= $\frac{\frac{4}{7}d }{\frac{1}{35} d} = \frac{4}{7} *\frac{35}{1} = 20$

So, your sister will take 20 minutes to get home by the time your start.

We know that it takes you 20 minutes to reach your home.

Therefore, you both will reach the home at the same time.

I) You can catch your sister.

ii) Reason: you both will reach home at the same time.

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2 years ago

For the Best Brain:<br><br> fun question:<br> how do I solve y = 10x + 2 when x equals 3

allsm [11]

You would plug in 3 for x, which gives you y = 10(3) + 2, and then you would use PEMDAS, which means you multiply 10 with 3 and then add two which is 32. Therefore y would equal 32. :D :D

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3 years ago

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