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The shooters height will be (80 + x) inches

The third angle in the triangle is 180 - 90 - 65 = 25º

tan25º = x/45

45tan25º = x

Shooter's height = 80 + 45tan25 ≈ 100.984 inches

That is over 8 feet tall! 

Okay I just figured out that it probably means this:

In which case the height is 80 - 45tan25 ≈ 59.016 inches

About 4.9 feet, which makes more sense.

Press the numbers button and there it is. At least on the IPad.

well where is it then 

-How do you not know where it is?

42    =   2 x 3 x 7

68   =   2^2 x 17

48  =    2^4 x 3

100  =   2^2 x 5^2

GCF 32, 40    = 8

GCF 16, 24   = 8

No. And how?

1 × 41

That's it. 41 is prime. There are only 2 factors.

i took a math quiz and got an A~ And started learning a new language...k o r e a n!~

There have been a NUMBER of times I wished I could delete an answer.....but there is no way to do so.....if you get in before someone else posts after it, you can edit it and make it all blank ......

  We all make mistakes in our answers.....just learn from it !!!  

Enter the following:

1.898

x

10

then press the  \({x}^{y}\)  key

then press

2

7

=

Is THAT what you meant?????

Excelent!! glad to hear it from all of you! ;)

I tried goat cheese for the first time today. I'm proud of that because I normally am afraid to try new foods.

Saved someone's life. They had a heart attack and almost died.

To find θ, just take the arcsin of both sides. Arcsin can also be written asin or sin^-1 .

sin θ = 10/11

arcsin(sin θ) = arcsin(10/11)

θ = arcsin(10/11) ≈ 65.380º

11 duh 🙄 

2.5

Let the original fraction = n / [n + 3]

And we have that

[n + 7] / [n + 8]  =  n / [n + 3]  + 1/2

[ n + 7] / [n + 8]  =  [ 2n + n + 3] / [ 2(n + 3) ]   cross-multiply

[2(n +3)] [ n + 7]= [2n + n + 3] [ n + 8]

[2(n +3)] [ n + 7]= [3n + 3] [ n + 8]

2 [ n + 3] [ n + 7 ] = 3 [n + 1] [ n + 8 ]

2 [ n ^2 + 10n + 21] = 3 [ n^2 + 9n + 8]

2n^2 + 20n + 42  =  3n^2 + 27n + 24    

n ^2 + 7n - 18  = 0       factor

(n + 9) ( n - 2)   = 0      and n  = -9 or n = 2

So....one possibility...when n = 2

9 / 10  = 2/5 + 1/2

9/10  = 9/10

Or  when  n = -9

-2/-1  = -9/-6 + 1/2

2  =  3/2 + 1/2

2 = 2

So....the original fractions were   2/5   or 3/2

Ah you can do this one!

What if I put the question like this:

First answer this question:

Every basket has 5 apples in it. There are 2 baskets. How many apples are there?

Now answer this one.

Every yard has 3 feet. There are 43 yards. How many feet are there?

Very nice, hectictar.....I like your method MUCH better....!!!

I know this has already been answered but here's another way of looking at it:

To find the area, you can find the area of the big rectancle and subtract the areas of the green, red, and orange triangles. Then you're left with just the area of the blue triangle.

area = rectangle - green - red - orange

area = (5)(9) - (1/2)(5)(3) - (1/2)(4)(5) - (1/2)(9)(2)

area = 45 - 7.5 - 10 - 9

area = 18.5 square units 

1.898 × 10^27  =  1,898,000,000,000,000,000,000,000,000

Height of tower x  =  D tan (30)   where D is the distance to the tower from the midway point

Height of tower y  = D tan(60)

So.... x : y     =   D tn (30)  / D tan(60)   =  tan (30) / tan (60)  =   [ 1 / sqrt (3)]  / sqrt (3)  =

1 / [ sqrt(3) (sqrt (3)]  = 1/3

how do i do 1.898 × 10^27 kg

You are correct, hectictar......not much of a tower...even  for Munchkins..!!!!