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wolverine [178]

2 years ago

8

To keep in shape, Meg exercises at a track near her home. She requires 40 minutes to do 8 laps running and 6 laps walking. Assum

ing she maintains a consistent pace while running and while walking, how long does Meg take to complete a lap

1 answer:

stepladder [879]2 years ago

6 0

Answer:

Step-by-step explanation:

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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 <em>r</em> is the radius and <em>h</em> 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 <em>r</em> = 1.2 and <em>h</em> = 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

Hep please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

inn [45]

Hm, D would equal either 5 or 6.

4 0

2 years ago

Read 2 more answers

Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help asap i dont get this

Stels [109]

Answer:

x=19

Step-by-step explanation:

(7x+7) + (2x+2) = 180

9x + 9 = 180

9x=171

x=19

5 0

3 years ago

Read 2 more answers

What is a short method to show the compound inequality x < 2 AND x > 7

jeyben [28]

These inequalities are not compatible: you are looking for a number that is less than 2, but more than 7. This is impossible, because if a number is less than 2, it can't be more than 7.

Conversely, if a number is more than 7, it can't be less than 2.

8 0

3 years ago

Marimar buys and old mirrors for $45:00 . She spend $5:00 to fix and paint it . Then she sell the mirror for $78:00 . What is ma

jolli1 [7]

Answer:

28 dollars

Step-by-step explanation:

$45+$5= $50 which is how much she spent it total

then she sells it for $78

so her profit would be $28

5 0

2 years ago