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1 year ago

Please Help, I need it for my homework

Mathematics

2 answers:

AlladinOne [14]1 year ago

6 0

Answer:

p1 (0,0) p2 (1,2) given from the graph

slope = (y2-y1)/ (x2-x1 )

slope (m) = 2

y = mx+ b

b =0

y = 2x

x = 0

y = 5

(0,5)

gradient = slope

y = 3x + b

point given (0,12)

y = 3x + 12

Step-by-step explanation:

Naily [24]1 year ago

5 0

Answer:

p1 (0,0) p2 (1,2) given from the graph

slope = (y2-y1)/ (x2-x1 )

slope (m) = 2

y = mx+ b

b =0

y = 2x

x = 0

y = 5

(0,5)

gradient = slope

y = 3x + b

point given (0,12)

y = 3x + 12

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6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface

Pachacha [2.7K]

Answer:

6) About 19,244.75 square centimeters.

7) About 4895 containers.

Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

Recall that the surface area of a cylinder is given by the formula:

$\displaystyle \text{SA}=2\pi r^2+ 2\pi rh$

Where r is the radius and h is the height.

Therefore, the surface area of a single cylinder will be:

$\displasytyle \text{SA}=2(3.142)(1.75)^2+2(3.142)(1.75)(7) = 96.22375\text{ cm}^2$

Then the total surface area for 200 cylinders will be:

$\displaystyle \text{SA}_{\text{total}}=200(96.22375)=19244.75\text{ cm}^2$

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

$\displaystyle V=\pi r^2h$

Since r = 1.2 and h = 6.4:

$\displaystyle V=(3.142)(1.2)^2(6.4)=28.956672\text{ m}^3$

Each container has a base radius of 8.2 cm and a height of 28 cm.

So, the radius of each container is 0.082 m and the height is 0.28 m.

Then the volume of each container is:

$\displaystyle V=(3.142)(0.082)^2(0.28)=0.005915506\text{ m}^3$

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:

$\displaystyle C=\frac{28.956672}{0.005915506}=4895.045466\approx 4895$

Thus, approximately 4895 containers can be filled.

5 0

2 years ago

Read 2 more answers

2x(8+7)-6/2x(9-3) evaluate

Katarina [22]

Ok so assuming that the 'x' means multiply and not 'x' as in placeolder we do

PEMDAS
parenthaseees
exponents
multipilcation or division
additon or subtraction

parethasees simplify first
(8+7)=15

(9-3)=6

now we have
2x(15)-6/2x(6)
multiply
2x15=30

6/2x6=36/2=18

now we have
30-18
12

answer is 12

6 0

2 years ago

Read 2 more answers

Recycling one glass bottle can save enough energy to power an oven for 7.5 minutes. A glass bottle weighs 500 grams. Glass used

musickatia [10]

This is a units conversion problem: you have time and you want to convert that to money. Any units conversion problem involves multiplication by 1 in various forms. When you are given 7.5 min = 1 bottle = 500g, you know that (500 g)/(7.5 min) = 1 because the numerator and denominator are equal. (Of course, you are aware that 500 g = 0.500 kg.) The idea is to choose the forms of 1 that cause units you don't want to cancel, leaving only the units you do want.

$6\,h\times \dfrac{0.500\,kg}{7.5\,min}\times \dfrac{60\,min}{1\,h}\times \dfrac{5\,p}{1\,kg}\\\\=\dfrac{6\cdot 0.500\cdot 60\cdot 5\,p}{7.5\cdot 1\cdot 1}=120\,p$

The glass for recycling that would save enough energy to power an oven for 6 hours costs 120p.

3 0

2 years ago

T is inversely proportional to d^2 (d squared) when t is 160 d is 8 find t when d is 0.5

I am Lyosha [343]

Step-by-step explanation:

everything can be found in the picture

4 0

2 years ago

There are 16 players in my poker group that meets the first Tuesday of every month. Ten of the players are male and six are fema

rodikova [14]

Answer: Hello mate!

in your group, there are 16 players, 10 males, and 6 females.

in this case, 5 males already arrived (then there are 5 other males left)

and 4 females already arrived (then there are other 2 females left)

then there are a total of 7 players left, where 2 are female and 5 are males.

you want to know the probability that the next person through the door will be a male.

this is the number of male players left, divided by the number of players left: 5/7 = 0.71

then the probability that the next person through the door will be a male is 0.71.

5 0

2 years ago