Answer: 62.8cm^2
Step-by-step explanation:
The surface area of a cylinder is calculated by 2πrh+2πr2
where π is a constant, given as 3.14; h is the height, given as 3cm and r is radius, given as 2cm.
Therefore, rh = 3 x 2= 6 cm ^2 while r^2 =2 × 2= 4 cm^2.
Slot the values into the formula:
V= 2 (3.14) x 6 + 2 (3.14) x 4
V=37.68 + 25.12
V=62.8cm ^2
I hope this helps
Answers:
x = 6
y = 6*sqrt(2)
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Explanation:
To find these values, you can use the general template of a 45-45-90 triangle or you can use trig ratios
tan(45) = 1
tan(angle) = opposite/adjacent
tan(45) = x/6
1 = x/6
6*1 = x
x = 6
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sin(45) = 1/sqrt(2)
sin(angle) = opposite/hypotenuse
sin(45) = 6/y
1/sqrt(2) = 6/y
1*y = sqrt(2)*6
y = 6*sqrt(2)
Ranking is very critical in this problem. Therefore, the most applicable mathematical theory is permutations.
Ranking possible for the cellists:
Needed cellists = 5
Total available cellists = 10
Possible number of rankings = 10P5 = 10!/(10-5)! = 30240
Ranking possible for the violinists:
Needed violinists = 5
Total available = 16
Possible number of rankings = 16P5 = 16!/(16-5)! = 524160
Therefore,
Ratio of rankings (cellists to violinists) = 30240/524160 = 3/52
Answer:
See the explanation
Step-by-step explanation:
<h2>Analytic View:</h2>
If and event can occur in A number of way and fail in B number of ways, then probability of its occurrence is:
or probability of its failing is:
<h3>Example:</h3>
Rolling a number smaller than 3 in a dice.
A= 2 (1,2)
B = 4 (3,4,5,6)
<h2>Relative Frequency View:</h2>
Definition of Probability in terms of past performances (data). It can be taken as how often things happens divided by all outcomes.
<h3>Example:</h3>
A batter has 50 safe hits at 200 bats, which makes his batting average 
which is the probability.
<h2>Subjective View:</h2>
When you define a probability due to personel beleif in the likelihood of an outcome. It involve no formal calculations and varies from person to person, depending on their past experience.
<h3>Example:</h3>
A person beleives that probability that the batter will hit safely in the next bat is 0.75
Answer:
b=5d+5f
solve for b by simplifying both sides and then isolating the variable.
