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MAVERICK [17]
3 years ago
12

Determine the equation of a horizontal line that passes through (4,7)

Mathematics
1 answer:
professor190 [17]3 years ago
5 0
Y=7 because there is no slope and the Y intercept is at 7.
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Simplify. x + y - 0 x 2 - y 2
dusya [7]

Answer:

-y^(2)+x+y

Step-by-step explanation:

3 0
3 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.

5 0
3 years ago
Read 2 more answers
A ladder is leaning against a vertical wall which is 5m high. The top of the ladder slides all the way down the wall so that the
Lynna [10]

Answer:

Do using Pythagoras theorem... Also before doing a question of height and distance always try to make the figure

Step-by-step explanation:

Use the two triangles ABC and ABD to first get the base and find the height of the ladder

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Step-by-step explanation:

x          12x - 6         3x + 3        6(2x - 1)

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Calculate the mean of the set of boys and girls below:
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Boys: 21.22 Girls: 16.89

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Step-by-step explanation:

Add all the data points and divide it by the number of the data points.

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