Hello from MrBillDoesMath!
Answer:
669/221
Discussion:
Ratio of 669 to 221 = 669/221.
Now, 669 = 3 * 223 and 221 = 13 * 17. Note that all numbers involved in the factorizations are distinct primes so nothing cancels out in their ratio. That is,
669/221 can not be reduced further.
Thank you,
MrB
I = PRT.....rearrange = I / PR = T
I = 450
R = 7.5%...turn to decimal = 0.075
P = 2400
I / (PR) = T
450 / (2400 * 0.075) = T
450 / 180 = T
2.5 = T...so time is 2.5 years, or 2 1/2 years
Thank you for your question!
In order to get the cost of 1 kg of cabbage, divide the cost by the quantity:
1.20/2.5
0.48
Now, multiply the amount for 1 kg to 3.75, because you need 3.75 times the amount.
0.48 * 3.75
1.80
So, it would cost 1.80 pounds for 3.75 kg.
Hope this helped!
Answer:
The standard form of a circle is (x-h)^2 + (y-k)^2 = r^2 with (h,k) being the center of the circle and r being the radius. In this case the circle's equation in standard form is (x-2)^2 + (y+3)^2 = 18. Knowing this it's easy to see that the center of the circle (h,k) is (2,-3). Finally the radius is 
or in simplified terms, 3
Step-by-step explanation:
The solution to the problem is as follows:
<span>cos2A - cos4A = -2 sin(6A/2).sin(-2A/2) = +2 sin(3A).sinA
and
sin4A - sin2A = 2 cos(6A/2).sin(2A/2) = 2 cos(3A).sinA
Hence RHS = (cos(2A)-cos(4A))/ (sin(4A)- Sin(2A)) = sin 3A / cos 3A = tan 3A = LHS
</span>
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