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2 years ago

10

Earth Day 40 people volunteer to work at the city park clean-up 10 of the 40 volunteer are high school student the coordinator w

ants to know what percent of the volunteers are in high school

1 answer:

o-na [289]2 years ago

5 0

Answer:

25%

Step-by-step explanation:

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If tanA+sinA=m and tanA-sinA=n.prove that m^2-n^2=4√mn

mash [69]

Let $a=\tan A$ and $b=\sin A$ . Then

$m^2-n^2=(a+b)^2-(a-b)^2=(a^2+2ab+b^2)-(a^2-2ab+b^2)=4ab$

$\implies m^2-n^2=4\tan A\sin A$

and

$mn=(a+b)(a-b)=a^2-b^2$

$\implies4\sqrt{mn}=4\sqrt{\tan^2A-\sin^2A}$

The expression under the square root can be rewritten as

$\tan^2A-\sin^2A=\dfrac{\sin^2A}{\cos^2A}-\sin^2A=\sin^2A\left(\dfrac1{\cos^2A}-1\right)=\sin^2A(\sec^2A-1)$

Recall that

$\sin^2A+\cos^2A=1\implies\tan^2A+1=\sec^2A$

so that

$\tan^2A-\sin^2A=\sin^2A\tan^2A$

and assuming $\sin A>0$ and $\tan A>0$ , we end up with

$4\sqrt{\tan^2A-\sin^2A}=4\tan A\sin A$

so that

$m^2-n^2=4\sqrt{mn}$

as required.

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2 years ago

Patrick is constructing the circumscribed circle for △RST.

castortr0y [4]

<span>You need to construct the two perpendicular bisectors (Any 2 of the 3 will do)
So the answer is :Construct the perpendicular bisector of ST</span>

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2 years ago

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"bob places an 18-foot ladder 6 feet from the base of his house and leans it up against the side of his house. find, to the near

erik [133]

I WOULD LIKE TO HELP YOU. I WILL SEND YOU AN ATACHMENT. I THINK THAT I HELP YOU.

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2 years ago

Find the total amount due on a loan of $5000 for eight years and 10% simple interest

topjm [15]

Answer:

170years

Step-by-step explanation:

R/100=2.5%

time= 100=0.025 per year (1/0.025) (5200\1000)-1=168

time=168 years

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2 years ago

Ron finds 9 books at a bookstore that he would like to buy, but he can afford only 5 of them. In how many ways can he make his s

pashok25 [27]

Answer:

15,120 for the first question. 1,680 if one of the books is a must

Step-by-step explanation:

When Ron chooses his first book, he has 9 options. After that, when he chooses his second book, he only has 8 choices because he already picked one of them. By his third choice, he only has 7 choices and so on.

We can make an equation to represent this,

9 x 8 x 7 x 6 x 5

Multiplying all of that out gets you 15,120.

The second problem is even easier. Since one of the books is already chosen for him, he starts off only having 8 options. Since he is only choosing four books this time, we are only multiplying four numbers.

8 x 7 x 6 x 5

Multiplying all of that out tells you there are 1,680 ways he can make his selection in the second scenario.

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2 years ago