Explain the difference between using the trigonometric ratios (sin, cos, tan) to solve for a

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

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ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.

leonid [27]

Answer:

C. F(x) = 2(x-2)²+2

Step-by-step explanation:

This graph was changed by a vertical and horizontal shift because the graph moved over and up

A vertical shift would be when a constant is added to the output, resulting in the graph moving up or down: y = f(x) + k
A horizontal shift would be when a constant is added to the input, resulting in the graph moving left or right: y = f(x + h)

With this information we can determine how the graph was transformed

Looking at the graph, the origin is now at (2,2) instead of (0,0)
We can see that the graph moved to the right h units, indicating a horizontal shift 2 units to the right
We can also see that the graph moved up k units, indicating a vertical shift 2 units upward

Our equation for f(x) should be in the form y = a(x + h)² + k

Substituting in all our known values, we get the equation:
F(x) = 2(x-2)²+2

5 0

3 years ago

Quadrilateral MNQP has vertices as shown. If the figure is translated 4 units left and 3 units down, what are the coordinates of

PilotLPTM [1.2K]

<h3>Answer: (-3, 0)</h3>

Explanation:

Point N is at (1,3)

We apply the rule $(x,y) \to (x-4,y-3)$ which will translate the point 4 units to the left and 3 units down.

The old x coordinate x = 1 becomes x-4 = 1-4 = -3

The old y coordinate y = 3 becomes y-3 = 3-3 = 0

The point N(1,3) moves to N ' (-3, 0)

4 0

2 years ago

Help will give 20 points

siniylev [52]

Answer:1/3 divided by 6 equals 18

Step-by-step explanation: If you have a cloth that is 1/3 long then divide it by 6 it would look like 1/3 divided by 1/6 which would then equal 1/18.

6 0

3 years ago

According to the graph, which of the following is true? Half of each day is taken up by sleeping and eating. School and homework

aivan3 [116]

Answer:

Half of each day is taken up by sleeping and eating.

Step-by-step explanation:

4 0

3 years ago

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