Q25b 07 hsc (1 Viewer)

taker0

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ok so can anyone explain this one to me? do we use the sine rule to find the angle of elevation? cause i did this:

18/sin15 = 20/sin x .... were x is the angle we gotta find.

it gave me an answer of 16 degrees....but apparently the answer is 56.

what am i doing wrong?? am i looking at the wrong angle?

also my calc is set to deg not rad.
 

PC

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Your equation is right. But be careful. The answer is 16.71293303, so this is 17° to the nearest degree.

But remember you've found Angle JMK. This is NOT The angle of elevation.

The angle of elevation is angle KML.
Angle KML = 75 – 17 = 58°.
 

taker0

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thx.

also can some answer the following 06 question? im struggling with probability...

Q28
(a) On a bridge, the toll of 2.50 is paid in coins collected by a machiene. the macheien only accpets $2, $1 and 50c coins.

(i) list the combinations used to pay the 2.50

(ii) jill has 3 two dollar coins, 6 one dollar coins and 2 50c coins. she selects 2 at random. wat is the robability the she selects exactly 2.50?

(iii) at the end of the day the macheine contains x two-dollar coins, y one dollar coins and w 50c coins. write an expression for the total value of coins


thanks.

EDIT:

here are my answers...can anyone check them for me??

I:
1,1,50c
50,50,50
2,50

II: 2/10x2/9 = 2/45

III: v=x+y+w
 
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PC

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taker0 said:
Q28 (a)
On a bridge, the toll of 2.50 is paid in coins collected by a machiene. the macheien only accpets $2, $1 and 50c coins.

(i) list the combinations used to pay the 2.50

(ii) jill has 3 two dollar coins, 6 one dollar coins and 2 50c coins. she selects 2 at random. wat is the robability the she selects exactly 2.50?

(iii) at the end of the day the macheine contains x two-dollar coins, y one dollar coins and w 50c coins. write an expression for the total value of coins
(i) Try to do it systematically.
No $2 coins, no $1 coins, we need 5 x 50¢ coins.
No $2 coins, 1 x $1 coin, we need 3 x 50¢ coins.
No $2 coins, 2 x $1 coins, we need 1 x 50¢ coins.
1 x $2 coin, no $1 coins, we need 1 x 50¢ coins.
That's it. Any more and we'll be over. So 4 different combinations of coins.

(ii) To select two coins at random and get exactly $2.50, she'll need to pick a $2 coin and a 50¢ coin. All the other combinations need more than 2 coins.

So Probablity = P($2 then 50¢) or P(50¢ then $2)
= 3/11 x 2/10 + 2/11 x 3/10
= 6/55

(iii) Total value = (x x $2) + (y x $1) + (w x 50¢)
= 2x + y + 0.5w
 

savio23q

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taker0 said:
thx.

also can some answer the following 06 question? im struggling with probability...

Q28
(a) On a bridge, the toll of 2.50 is paid in coins collected by a machiene. the macheien only accpets $2, $1 and 50c coins.

(i) list the combinations used to pay the 2.50

(ii) jill has 3 two dollar coins, 6 one dollar coins and 2 50c coins. she selects 2 at random. wat is the robability the she selects exactly 2.50?

(iii) at the end of the day the macheine contains x two-dollar coins, y one dollar coins and w 50c coins. write an expression for the total value of coins


thanks.

EDIT:

here are my answers...can anyone check them for me??

I:
1,1,50c
50,50,50
2,50

II: 2/10x2/9 = 2/45

III: v=x+y+w
Check your thread. I answered this already.
 

taker0

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thnaks for the replies really helped me out, sorry i accidently posted it twice.
 

Smithyo

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savio23q said:
Check your thread. I answered this already.
I lol'd at the "NOT 100% SURE! Dont rely on me LOL." part in the thread though !!LOL!
 

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