PART 1:55-21=35
35/60=<span>.58333
360</span>×<span>.58333 =210 DEGREES
</span><span>210*pi/180 = 3.665 RADIANS
PART 2: </span><span>(pi) x 2r x .58333
</span><span>3.14 x 12 x .58333 = 21.98 in
PART 3: </span><span>5π inches = 5 x 3.14 = 15.708 inches / 6 in radius = 2.618 radians
PART 4: </span><span>2.618 radians * 180/pi = 150° </span>
<span> x coordinate = 6(cos 150°) = -5.196 </span>
<span> y coordinate = 6(sin 150°) = 3 </span>
<span> the coordinates would be (-5.196, 2)</span>
4/9 as a percent is (about) 44% Work:
First get a decimal by dividing 4/9(4 divided by 9) you get 0.44 repeating
Next, take away the 0. and add a percent sign at the end of 0.44. You get 44%
Truly, the answer is 44.44444...% because the four repeats, but if you round it is simply 44%
In this question, we have to find the complement and supplement of the given angles .
Complementary angles are those angles whose sum is 90 degree and supplementary angles are those angles whose sum is 180 degree.
So to find the complement and supplement angles, we need to subtract the given angles from pi/2 and pi respectively .
a.

b.

Given:
Principal = Rs. 6000
Rate of simple interest = 6% per annum.
Time = 4 years
To find:
The simple interest and amount.
Solution:
Formula for simple interest:

Where, P is principal, r is the rate of interest and t is the number of years.
Putting P=6000, r=6 and t=4, we get



Now,



Therefore, the simple interest is Rs. 7440 and the amount is Rs 7440.
48/4= 12 pens per box
12*9 = 108 pens in 9 boxes