9514 1404 393
Answer:
Step-by-step explanation:
The interior angle of the m-gon is ...
m-interior = 180 -360/m
The exterior angle of the k-gon is ...
k-exterior = 360/k
The required relationships are ...
m = 3k
m-interior = 14/3(k-exterior)
Substituting for m, we can write the latter relation as ...
(180 -360/(3k)) = 14/3(360/k)
Multiplying by 3k/180, we have ...
3k -2 = 28
k = (28 +2)/3 = 10
The values of k and m are 10 and 30, respectively.
_____
<em>Check</em>
The interior angle of the m-gon is 180 -360/30 = 168 degrees.
The exterior angle of the k-gon is 360/10 = 36 degrees.
The angle ratio is 168/36 = 14/3 as required.
Answer:
( original - new)/ original * 100 %
Step-by-step explanation:
Take the new amount
Subtract the original amount
( original - new)
Then divide by the original amount
( original - new)/ original
Multiply by 100% to get the percent loss
( original - new)/ original * 100 %
Notice that a can is a cylinder, which is basically two circles and one rectangle. Now, the question wants area of this rectangle.
You know the width of the rectangle (or the paper), which is 11cm. How do you find the length then?
Notice that the length of the rectangle is also the circumference of the circles. From here, use C = πd where C is circumference and d is diameter. The d is given, which is 7.5 cm. Depending on the question, π can be 3.14, 22/7 or the actual pi.
multiply π and 7.5cm and you get the circumference. Multiply this to 11cm and you get area of the rectangle.
<span>The equation for that is
A = P * [ 1 + (r/n) ] ^(nt)
A = amount of money accumulated after n years, including interest.
P = principal amount (the initial amount you borrow or deposit)
r = annual rate of interest (as a decimal)
n = number of times the interest is compounded per year
t = number of years the amount is deposited or borrowed for.
In this question, P = 9700 , r = 0.034, n = 4 , t = 1
</span>
<span>A = 9700 * [ 1 + (0.034 / 4) ] ^ (4 * 1)
= 9700 * ( 1 + 0.0085 )^4
= 9700 * (1.0085)^4
= 9700 * 1.03443596
= </span><span>10,032.60 rounded off</span>
