John needs to make a scale drawing of his school building for art class. If the building is 256.25 meters long, and John scales it down using a ratio of 25 meters to 1 inch, how long will the building be in the sketch?

Answers

Answer 1

Answer: So we want to know how long will the scale drowing of the building be if the building is 265.25m long and the scale is 1 inch on the drawing is equal to 25 meters of the building. To find the answer lets scale the building. If the real length of the building is 256.25 meters, then the number of inches will be: 256.25/25=10.25 inches.

Related Questions

Solve each equation by graphing. Round to the nearest tenth. 6x^2+18x=0
When i was two, my brother was half my age now i am 100. what is my brothers age
If you can’t see it’s (2/5)^2
If the ratio of the altitude of triangle A to the altitude of triangle B is 3:1, then the ratio of the area of triangle A to the area of triangle isA 1:1 B It cannot be determined from the information given. C 6:1 D 9:1
0.36p+0.26=3.86 i need help

A line of best fit is always an estimate and cannot be calculated.
A-True
B-False

Answers

The statement the line best fit has been an estimate and cannot be calculated. Therefore, the given statement is true.

What is the line best fit?

The best fit line can be defined as the line created by connecting the majority of the points in a scatter plot. Depending on the scatter plot's points, the best fit line may take the form of a straight line or a curve.

The scatter plot's relationships between the variables are better understood when the best fit is used. The maximum scattered point serves as the line's best fit's pivot point.

The predicted line that best matches the plot depends on whether the straight-line equation fits it. As a result, it has not been able to measure the line of optimum fit.

Therefore, the given statement is true.

For more information about the line best fit, refer to the link:

brainly.com/question/2396661.

#SPJ6

Answer:

Step-by-step explanation:

Imagine you are an engineer for a soda company, and you must find the most economical shape for its aluminum cans. You are given this set of constraints. The can must hold a volume, V, of liquid and be a cylindrical shape of height h and radius r, and you need to minimize the cost of the metal required to make the can. a) First, ignore any waste material discarded during the manufacturing process and just minimize the total surface area for a given volume, V. Using this constraint, show that the optimal dimensions are achieved when h = 2r. The formula for the volume of a cylinder is V = πr 2h. The formula for the lateral area of a cylinder is L = 2πrh. b) Next, consider the manufacturing process. Materials for the cans are cut from flat sheets of metal. The cylindrical sides are made from curved rectangles, and rectangles can be cut from sheets of metal leaving virtually no waste material. However, the process of cutting disks for the tops and bottoms of the cans from flat sheets of metal leaves significant waste material. Assume that the disks are cut from squares with side lengths of 2r, so that one disk is cut out of each square in a grid. Show that, in this case, the amount of material needed is minimized when: h/r = 8/π ≈ 2.55 c) It is far more efficient to cut the disks from a tiling of hexagons than from a tiling of squares, as the former leaves far less waste material. Show that if the disks for the lids and bases of the cans are cut from a tiling of hexagons, the optimal ratio is h/r = 4√3/π ≈ 2.21. Hint: The formula for the area of a hexagon circumscribing a circle of radius r is A = 6r/2 √3 . d) Look for different-sized aluminum cans from the supermarket. Which models from problems a–c best approximate the shapes of the cans? Are the cans actually perfect cylinders? Are there other assumptions about the manufacture of the cans that we should consider? Do a little bit of research, and write a one-page response to answer some of these questions by comparing our models to the actual dimensions used.

Answers

Final answer:

The optimal dimensions of a soda can to minimize surface area given a specified volume are achieved with the ratio h = 2r. This changes to h/r = 8/π or 2.55 when considering rectangles, and h/r = 4√3/π or 2.21 when considering hexagons. Real-world soda cans typically use dimensions somewhat between these models.

Explanation:

Given the volume V of a cylindrical can with height h and radius r, we can find the dimensions that minimize the surface area. The volume of a cylinder is given by the formula V = πr2h. To minimize the surface area, which is given by 2πrh + 2πr2, we should find the derivative of this with respect to r and set it equal to 0, which gives us h = 2r.

When considering waste materials from cylinders cut from a sheet of metal, this modifies the equation for the lateral surface area. If the disks for the ends of the cans leave waste, and we consider that each disk is cut from a square of side length 2r, the optimal dimensions change to h/r = 8/π ≈ 2.55.

If the ends are cut from a tiling of hexagons, the area of a hexagon can be written as A = 3√3r2/2. This minimizes the waste material and results in the optimal ratio h/r = 4√3/π ≈ 2.21.

Comparing these models to actual can dimensions, we find that real-world can dimensions usually fall somewhere between the cylindrical and the hexagonal model, leaning slightly more toward the cylindrical.

Learn more about optimal dimensions:

brainly.com/question/32818645

#SPJ11

Answer:

a) To minimize the total surface area for a given volume, V, we need to consider the formula for the lateral surface area of a cylinder:

$\[L = 2πrh\]We are given the constraint that the volume V must be constant, and it is expressed as:\[V = πr^2h\]We want to minimize the surface area, which is the lateral surface area (L) plus the areas of the two circular ends (top and bottom).Total Surface Area (TSA) = L + 2πr^2$

$Now, substitute the expression for L from the volume constraint into the TSA equation:TSA = 2πrh + 2πr^2\nTo minimize TSA, we can differentiate it with respect to either r or h and set the derivative equal to zero. Let's differentiate with respect to h:\[d(TSA)/dh = 2πr - 0 = 2πr\]$

Now, set this derivative equal to zero:

2πr = 0

This implies that r can be any positive value, and it doesn't affect the minimization of TSA. Therefore, we can choose any value for r. However, it's more convenient to work with h = 2r because it simplifies the calculations and is often used in the design of cans.

b) When considering the manufacturing process with minimal waste, the total material needed is minimized when the ratio h/r = 8/π ≈ 2.55. This is because when h/r is equal to 8/π, you can fit the largest number of disks with a diameter of 2r onto a square sheet of metal with side lengths of 2r, minimizing waste.

c) If the disks for the lids and bases of the cans are cut from a tiling of hexagons, the optimal ratio is h/r = 4√3/π ≈ 2.21. Hexagons are more efficient than squares for packing circles, which represents the lids and bases of the cans. This results in less waste material.

d) To compare these theoretical models to actual aluminum cans from the supermarket, you would need to measure the dimensions of real cans and calculate their ratios of h/r. While many aluminum cans are close to the idealized cylinder shape, real-world manufacturing considerations can lead to variations. For instance, cans might have slightly different ratios of h/r based on manufacturing efficiencies, branding, and design choices. Additionally, the exact shapes and dimensions of cans may vary among different brands and beverage types.

It's also important to note that real cans might have additional features such as ridges, embossing, or variations in the shape of the top and bottom, which can affect their overall dimensions and shape. Therefore, it's essential to consider these factors when comparing theoretical models to actual cans.

Glen is being tested for a contagious disease. The test is 99% accurate and in actuality 0.1% of the population has the disease. Should Glen demand to be retested or start treatment right away? Explain.

Answers

I think Glen should demand to be rested than start treatment right away. Although the test is 99% accurate and only .1% of the population has the disease, there is no assurance that he will not get included in the .1% of the population. Also, he should be retested for the sake of reliability.

Answer:

The answer is B. Glen should demand to be retested as the probability that he has the disease given he test positive is only 0.08

Step-by-step explanation:

You are looking for a conditional probability. P(has disease given he tested positive).

This probability is 9 /109 = 0.082. Which means that there is only an 8% chance that he actually has the disease for a test that is 99% accurate.

Therefore, Glen should demand to be retested as the probability that he has the disease given he tested positive is only 0.08

A room has an area of 121 ft2 but carpeting is only sold in m2. How much carpeting is needed to carpet the room?A.) 12.1 m2
B.)18.76 m2
C.)101.17 m2
D.)11.24 m2

Answers

The correct answer for the question that is being presented above is this one: "D.)11.24 m2."
First, we need to know the conversion between feet to meters.
1 meter = 3.28 feet
1 meter^2 = 10.7584 ft^2

Given the value of 121 ft^2,
= 121 ft^2 * (1 m^2 / 10.7584 ft^2)
= 11.2470 m^2

The correct answer is D. 11.24 m2

PLEASE HELP, THIS IS DUE TODAY

Answers

Answer:

A=2πrh+2πr2=2·π·13.8·10.1+2·π·13.82≈2072.32018

Step-by-step explanation:

25d-16=4d+26
whats d?

Answers

Like terms are when the variable you have are the same. In this case it is x. Therefore, when you have like terms, you should add, or subtract your like terms.

(note: When you move one thing to the other side of the equation, make sure to do the opposite of the sign. i.e. if it is +26 when you move to the other side it will be -26).

25d-16=4d+26
25d-16+16=4d+26+16
25d=4d+26+16
25d-4d=4d-4d+26+16
25d-4d=26+16
21d=42
this is the same as:
21*d=42
the opposite of multiply is divide so when we move the 21 it has to be divide
21/21*d=42/21
d=2

For this question you should first add -4d on both sides of the equation and then add +16 on both sides:
25d - 4d = 26+16
21d = 42
d = 42/21
d = 2 :)))
I hope this is helpful
have a nice day

Other Questions

1/2+3/7= what is the answer

PLEASE HELP!Identify the center and radius of the circle (x+4)^2 + (y-2)^2=16

Given the following Geometric Sequence: 6;3;1.5;0.75....... Determine the nth term, Tn

Which of these triangle pairs can be mapped to each other using two reflections? Triangles X Y Z and P Y T are connected at point Y. Triangle X Y Z is reflected across X Y and then is reflected another time across Y Z to form triangle P Y T. Triangles X Y Z and A Y T are connected at point Y. Triangle X Y Z is reflected 3 times to form triangle A Y T. Triangles X Y Z and A Y T are connected at point Y. Triangle X Y Z is reflected across side X Y and then is shifted down to form triangle A Y T. Triangles X Y Z and A Z T are connected at point Z. Triangle X Y Z is reflected and then rotated to form triangle A Z T.