I had to read this a couple of times to see this was not about time, but is a right triangle problem. If the hour hand is at three, let us consider that a leg of a right triangle, we will consider the hypotenuse as the second hand.
Sketch the picture.
The hypotenuse is 9 cm. the angle is found by:
the (hour hand) is pointing directly at the 12. I expect you mean the minute hand. The angle between the minute hand and the second hand is 25/60*360 = 150 which make the angle between the hour hand and the second hand. 150 -90 =60
so the second hand and the hour hand gives us a right triangle, with a 60 degree angle and a hyp. of 9 cm.
cos 60 = x/9
9 cos 60 =x
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x = 4.5 cm
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Answer:
We need a sample size of at least 719
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
How large a sample size is required to vary population mean within 0.30 seat of the sample mean with 95% confidence interval?
This is at least n, in which n is found when 
. So
Rouding up
We need a sample size of at least 719
Note that: (10x - 61) & (x + 10) are supplementary angles, and (10x-61) & (18y + 5) are vertical angles
10x - 61 + x + 10 = 180
Simplify
11x - 51 = 180
Isolate the x
11x - 51 (+51) = 180 (+51)
11x = 231
Divide 11 from both sides
11x/11 = 231/11
Divide
x = 21
180 = 18y + 5 + x + 10
180 = 18y + 5 + (21) + 10
Simplify
180 = 18y + 36
Subtract 36 from both sides
180 (-36) = 18y + 36 (-36)
144 = 18y
Divide 18 from both sides
144/18 = 18y/18
y = 144/18
y = 8
x = 21, y = 8 are your answers
hope this helps
