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bekas [8.4K]
4 years ago
9

Surface area of cylinders

Mathematics
1 answer:
Nitella [24]4 years ago
6 0

Answer:

SA = 402.14 square inches

Step-by-step explanation:

Imagine you unroll the cylinder. You will be left with a rectangle and two "lids" (disks).

The rectangular area will be of dimension:

Ar = (height)*(circumference of the disk)

Ar = (12 in) * (8 in) *pi = 301.60 in^2

The area of one disk will be

Ad = pi*(radius^2) = pi*(4^2 in^2) = 50.27 in^2

So the total surface area will be

SA = Ar + 2* Ad = 402.14 in^2 (square inches)

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a boat traveled 160 miles downstream and back. the trip downstream took 8 hours. the trip back took 40 hours. find the speed of
Nana76 [90]

Let speed of the boat in still water = x miles per hour

Let speed of the current = y miles per hour


When water and current both flow in same direction then effective speed will be sum of both speeds that is (x+y)


now plug the given values in formula speed=distance/time

we get equation:

(x+y)=160/8

or x+y=20...(i)


When water and current both flow in opposite direction then effective speed will be difference of both speeds that is (x-y)

now plug the given values in formula speed=distance/time

we get equation:

(x-y)=160/40

or x-y=4

or x=4+y...(ii)


plug value of x into (i)

4+y+y=20

4+2y=20

2y=16

y=8


plug value of y into (ii)

x=4+8=12


Hence final answer is given by:

Speed of the boat in still water = 12 miles per hour

Speed of the current = 8 miles per hour


4 0
3 years ago
A sociologist recently conducted a survey of senior citizens who have net worths too high to qualify for Medicaid but have no pr
hjlf

Answer:

a) s= 9.74

D. 9.74

b) Median= 74

B. 74

Step-by-step explanation:

Part a

We have the following dataset given:

69 74 75 62 70 93 64 69 61 88 67 77 87 90 66 91 77 63 82 82 71 74 76 65 83

We can begin calculating the sample mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X = 75.04

Now we can calculate the sample deviation with the following formula:

s =\sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}

And after replace we got:

s= 9.74

Part b

For this case we need to sort the value on increasing way:

[1] 61 62 63 64 65 66 67 69 69 70 71 74 74 75 76 77 77 82 82 83 87 88 90 91 93

And the median would be the value in the position 13 and we got:

Median= 74

6 0
3 years ago
Which fraction us less than a half?5/6 3/4 or 2/5
Olin [163]

Answer:

That's easy 2/5

Step-by-step explanation:

Half of 5 is 2.5 and well ovbi 2 is less than 2.5 therefore 2/5 is lees than a half

Hope this helps!

8 0
3 years ago
Elijah's workout at the gym consists of just the elliptical and treadmill. After burning 450 miles
Galina-37 [17]

Answer:

375

Step-by-step explanation:

12.5=1min

30min=?

30x12.5=357

6 0
3 years ago
Jasmine sells bracelets at a local jewelry store in South Dekalb Mall. She has 1,190 purple beads and 2,125 pink beads. Each bra
jeka57 [31]

Answer:

39

Step-by-step explanation:

1190 + 2125 = 3315 (number of beads)

3315/85 = 36 (number of bracelets jasmine can make)

8 0
3 years ago
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