Hey guys! I would be thankful if anyone could help me answer this question. A can manufacturing company needs to purchase labels for the cans they produce. They are planning to produce 200,000 cans that will have a height of 20cm and a radius of 5 cm. If the labels cover the entire curved surface of each can, how many square metres of material will be required to label all the cans?

Answers

Answer 1
Answer: In order to not get confused, start by converting cm to m
h=20 cm = 0.2m and r=5cm = 0.05m

The cans are cylinders and we only need the rectangular shape, which is equal to the height x the circumference of the circle (2r(pi)), which you'll have to multiply by 200,000 for the number of cans necessary

your equation is therefore:
A=200,000h(2pi(r))
A=200,000(0.2)(2)(0.05)(pi)
A=4000pi m^2
Answer 2
Answer: Surface area for a cylinder = 2πrh

r = 5cm, h= 20cm

Surface area for one can =  2πrh = 2*π*5*20 = 200π = 200* 3.14

Surface area ≈ 628 cm²

For the 200, 000 cans, Total area = 200 000 * 628 = 125 600 000 cm²

But 1 000 000 cm² = 1m²

125 600 000 cm² =     125 600 000 / 1 000 000 = 125.6 m²

Total surface area ≈ 125.6 m²

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Find the value of x. m<2= x + 52​

Answers

Answer: x = - 10

Step-by-step explanation:

a) Linear Pair: 138 + ∠a = 180°     --> ∠a = 42°

b) Triangle Sum Theorem: ∠a + 2∠b = 180°   --> ∠b = 69°

c) Vertical Angles Theorem: ∠b = ∠c     --> ∠c = 69°

d) Congruent sides implies congruent angles: ∠c = ∠d   --> ∠d = 69°

∠2) Triangle Sum Theorem: ∠c + ∠d + ∠2 = 180°

                                            69° + 69° + ∠2 = 180°

                                                               ∠2 = 42

x) m∠2 = 42

  x + 52 = 42

  x          = -10

What are the coordinates of point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B?

Answers

Given:

The coordinates of the point A and B are (-5,-1) and (4,1)

The point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B.

Thus, we have;

m=1 and m+n=4

We need to determine the coordinates of the point P(x,y)

x - coordinates of the point P:

The x - coordinates of the point P can be determined using the formula,

x=\left((m)/(m+n)\right)\left(x_(2)-x_(1)\right)+x_(1)

Substituting the values, we get;

x=\left((1)/(4)\right)\left(4+5\right)-5

x=(9)/(4)-5

x=-(11)/(4)

Thus, the x - coordinate of the point P is -(11)/(4)

y - coordinate of the point P:

The y - coordinate of the point P can be determined using the formula,

y=\left((m)/(m+n)\right)\left(y_(2)-y_(1)\right)+y_(1)

Substituting the values, we get;

y=\left((1)/(4)\right)\left(1+1\right)-1

y=(2)/(4)-1

y=(-2)/(4)

y=-(1)/(2)

Thus, the y - coordinate of the point P is -(1)/(2)

Therefore, the coordinates of the point P is \left((-11)/(4), (-1)/(2)\right)

Hence, Option C is the correct answer.

Answer:

The answer is C

Step-by-step explanation:

What formula tells the cost, in dollars, ifchocolate chip cookies are $1.50/dozen and
lemon frosteds are $ 1.00/dozen? Let c =
number of dozens of chocolate chip cookies; L=
number of dozens of lemon frosteds; T = total
charge.

Answers

Answer:

T = $1.50C + $1.00L

Step-by-step explanation:

Chocolate chip cookies - $1.50/dozen

C: # of dozens of chocolate chip cookies

$1.50C

Lemon Frosteds - $1.00/dozen

L: # of dozens of lemon frosteds

$1.00L

T(total) = $1.50C + $1.00L

Hope that helps.

Solve the following
x^2-2x-24=0
X^2-11+18=0

Answers

Answer:

x=-11

Step-by-step explanation:

Which expression is equivalent to (9^2/5) 9/10?

Answers

Answer:69

Step-by-step explanation:

100 students take a course pass/fail. If they pass they get 4 points towards their GPA, if they fail they get 0. If 90 students pass, what is the mean and standard deviation (to 1 decimal) of the points earned?Mean: _______a0

Standard Deviation: _________a1

Answers

Given:
100 students:
pass = + 4
fail =+ 0

90 students passed: 90 * 4 = 360
10 students failed: 10 * 0 = 0

mean: 360 / 100 = 36

standard deviation: 
36 - 4 = 32 ⇒ 32² = 1,024 * 90 = 92,160
36 - 0 = 36 ⇒ 36² = 1,296 * 10 = 12,960

92,160 + 12,960 = 105,120
105,120 / 100 = 1,051.20 ⇒ variance

Standard deviation = √1,051.20 = 32.42