Answer:
B. 5
Step-by-step explanation:
We have been given that R varies directly with S. When S is 16, R is 80. We are asked to find constant of variation.
We know that two directly proportional quantities are in form 
, where,
k = Constant of variation.
Upon substituting our given values, we will get:
Therefore, the constant of variation is 5 and option B is the correct choice.
The sum of any geometric sequence, (technically any finite set is a sequence, series are infinite) can be expressed as:
s(n)=a(1-r^n)/(1-r), a=initial term, r=common ratio, n=term number
Here you are given a=10 and r=1/5 so your equation is:
s(n)=10(1-(1/5)^n)/(1-1/5) let's simplify this a bit:
s(n)=10(1-(1/5)^n)/(4/5)
s(n)=12.5(1-(1/5)^n) so the sum of the first 5 terms is:
s(5)=12.5(1-(1/5)^5)
s(5)=12.496
as an improper fraction:
(125/10)(3124/3125)
390500/31240
1775/142
Your answer would be the last option, 80 cm.
As this is a right triangle, you can use Pythagoras's Theorem, a² + b² = c², where 'c' is the hypotenuse and 'a' and 'b' are the legs, to find the missing side.
This gives us:
48² + 64² = 2,304 + 4,096 = 6,400
√6,400 = 80
So 80 is your answer.
I hope this helps!
Answer:
Remember, we did not necessarily round up or down, but to the hundred that is nearest to 32. When rounding to the nearest hundred, like we did with 32 above, we use the following rules: A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.
Step-by-step explanation:
