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KATRIN_1 [288]
3 years ago
14

I need help from someone please?!

Mathematics
1 answer:
Andreyy893 years ago
3 0
3)
(x/3)+(2/5)
(5x/15)+(6/15)
(5x+6)/15

4)
(2/x)+(3/7)
(14/7x)+(3x/7x)
(3x+14)/(7x)

5)
(x/2)+(1/3)+(x/4)
(6x/12)+(4/12)+(3x/12)
(9x+4)/12
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Then answer would be 300÷127=Z
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Solve the equation 2/5x - 1 = 9. Complete the solution and check your solution.
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Given that the measurement is in centimeters, find the area of the circle to the nearest tenth. (Use 3.14 for π)
coldgirl [10]
The area of a circle is equal to the radius squared times pie, basically:

{r}^{2} \times \pi

The radius is 3, so we multiply 3 times 3 times pie to get the area.

You're gonna want to plug in the following into a calculator:

3 \times 3 \times 3.14

After getting 28.26 from such calculator, you need to round to the tenths place. In this number, the tenths place is the 2 next to the decimal on the right. Because the number after the 2 is a 6, that means we need to simplify the answer to (28.3). When you are rounding a number, you look at the number to the right, if it is 5 or bigger, add one and remove the rest, if it is less than 5, just get rid of the rest and leave it as it is.
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2 years ago
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.

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2 years ago
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