The given figure is a right triangular prism.
In the prism:
• DF = 22 in.
• EG = 11 in.
• Volume of the prism = 1936 cubic in.
What is the length of AD?'
Use the given information to complete the worksheet.

Thank you!

Answer:

The area of the shaded region is 27 units^2.

Step-by-step explanation:

Area of outer square = 6^2 = 36 units^2

Area of inner square = 3^2 = 9 units^2

Area of shaded region

= 36 units^2 - 9 units^2 = 27 units^2

The area of a shaded region in a unit grid can be found either by subtracting the area of unshaded regions from the total grid area or by adding up the areas of identifiable shapes within the shaded region.

To find the area of the shaded region without counting every square, you can use a few different strategies, such as identifying and subtracting the area of unshaded regions from the total grid area, or recognizing and adding together larger, easily countable shapes within the shaded region.

For example, if your grid is 10x10 units, the total area would be 100 square units. If, within that grid, there are 20 unshaded squares, you can subtract this from the total area to find the area of the shaded region. So, 100 total square units - 20 unshaded square units = 80 shaded square units. This approach works best when the number of unshaded squares is relatively small or easily countable.

Alternatively, if the shaded region forms easily identifiable shapes (like a 5x5 square or a 3x10 rectangle), you can add the areas of these shapes together to get the total shaded area. This approach works best when the shaded region forms a few large, simple shapes.

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Answer: 1/36

Step-by-step explanation:

Your going to multiply 1/6 x 1/6 and you will get 1/36, because there are 6 slots, and you spin on x once, there is a 1/6 chance you will spin on it again, so that keeps a the 6/6 for all of the letters. But we are looking for f, there is also a 1/6 percent chance that it might land on that, 1/6 x 1/6 = 1/36

Answer:

Step-by-step explanation:

36 - 4

Step-by-step explanation:

(6x - 2)(6x + 2)

= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)

= 36 - 12x + 12x - 4

= 36 - 4

The table of values that could be used to graph g(x), a reflection of f(x) across the x-axis is table (c)

From the question, we have the following equation that can be used in our computation:

f(x) = One-third(6)x

When this statement is represented as an equation, we have the following representation

f(x)= 1/3(6)ˣ

The transformation is given as

A reflection of f(x) across the x-axis

This means that

g(x) = -f(x)

So, we have

g(x) = -1/3(6)ˣ

What this means is that the values of f(x) are negated to get g(x)

The table that represents this is table (c)

Hence, the table of values is table (c)

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Answer: C

Step-by-step explanation:

Answer:

-x^2 - 11x -30

Step-by-step explanation:

Solve using foiling. Ignore the -1 to begin with and just look at the part in parenthesis. Do x from the first parenthesis times the stuff in the second parenthesis.

ie: x(x) and x(6)

ie: x^2 + 6x

Then do the 5 times the things in the second parenthesis.

ie: 5(x) and 5(6)

ie: 5x + 30

Then add what you got from multiplying the first value to what you got from multiplying the second.

ie: x^2 + 11x + 30

This is a trinomial because it has three different variables. Now change all the signs to negative because of the -1 out front.

ie: -x^2 - 11x -30

Benjamin's walk described as a composition of two translations is (8, 0) and (2, 3) respectively.

The translation walks from his house directly to school is (10, 3)

A translation is a type of transformation that moves every point in a figure by a fixed distance in a certain direction. This can be thought of as sliding the figure along a straight line.

Looking at the image:

The coordinate of  Benjamin's house is (5,4) and he walks to Timothy's house (13, 4) and then to school (15, 7)

The displacement vector from Benjamin's house to Timothy's house is (13, 4) - (5, 4) = (8, 0), which represents an 8 unit move to the right.

The displacement vector from Timothy's house to school is (15, 7) - (13, 4) = (2, 3), which represents a 2 unit move to the right and a 3 unit move up.

Thus, Benjamin's walk can be described as a composition of two translations can be represented using displacement vectors as (8, 0) and (2, 3) respectively.

If Benjamin walks from his house directly to school:

The displacement vector from Benjamin's house directly to Timothy's house is (15, 7) - (5, 4) = (10, 3), which represents 10 units move to the right and 3 units up.

Thus, the translation describes his walk is (10, 3)

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Answer:

10.4 meters per second i think?

Step-by-step explanation:

Answer: The square root of 1681 is 41.

Answer:

41

Step-by-step explanation:

It is 41

41 * 41 = 1681

41 ^ 2 = 1681

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

Given statement solution is :-

1) Gather your electricity bills from the period before the summer break.

2) Create a comprehensive list of all the electrical appliances used in your home.

Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.

3) Research or locate the power consumption information for each appliance.

4) Identify areas where energy consumption can be reduced, such as:

Turning off lights when not in use.

Setting air conditioner temperatures at an optimal level.

Using energy-efficient appliances.

5) After the summer break, collect your electricity bill for the corresponding period.

6) Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.

Provide recommendations for further improvements or adjustments to achieve even greater sustainability.

To conduct a comparative study of consecutive electric bills and analyze the impact of a reduction plan, you can follow the steps below:

Examine your electricity bills of pre-summer break:

Gather your electricity bills from the period before the summer break.

Look for details such as total energy consumption (in kilowatt-hours or kWh), billing period, and the cost per unit of electricity.

List the various electrical appliances used in your home:

Create a comprehensive list of all the electrical appliances used in your home.

Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.

Find out the power consumption and duration for each device in use:

Research or locate the power consumption information for each appliance.

This information is typically provided on the appliance itself or in the user manual.

Note down the power rating of each device in watts (W) or kilowatts (kW).

Estimate the average duration each device is used daily in hours (e.g., 2 hours for a television, 8 hours for a refrigerator).

Calculate the estimated electricity consumption and cost:

Multiply the power rating (in kW) of each device by its average daily usage (in hours) to find the daily energy consumption (in kWh).

Multiply the daily energy consumption by the number of days in the billing period to get the total energy consumption for that period.

Multiply the total energy consumption by the cost per unit of electricity to calculate the estimated cost for each appliance.

Sum up the estimated costs for all appliances to get the total estimated electricity bill.

Make an energy reduction plan and determine implementation:

Identify areas where energy consumption can be reduced, such as:

Turning off lights when not in use.

Setting air conditioner temperatures at an optimal level.

Using energy-efficient appliances.

Unplugging devices when not in use.

Determine the feasibility of implementing these energy reduction measures in your home.

Re-examine your electricity bill of post-summer break:

After the summer break, collect your electricity bill for the corresponding period.

Calculate the actual energy consumption and cost using the same method as in step 4.

Compare the actual post-summer break bill with the estimated pre-summer break bill.

Note any changes in energy consumption and cost, and analyze the effectiveness of your energy reduction plan.

Document your reduction plan and changes in the bill:

Write a report summarizing your findings and observations.

Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.

Provide recommendations for further improvements or adjustments to achieve even greater sustainability.

By following these steps, you can conduct a comparative study of consecutive electric bills, analyze the effectiveness of your energy reduction plan, and track changes in energy consumption and costs.

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Answer:

(1,-2)

Step-by-step explanation:

WE can see that the X value below is 1 and the Y value is -2

A soccer player kicks a ball 50ft from a point on the ground. The ball reached a height of 100 ft above the ground. At what angle was the ball kicked?

a)The value of acceleration will be 4.8 m/s²

b)The total distance travelled is 505 m.

a) As all the movement happens along a straight line, we need to define an axis only, which we call x-axis, being the positive direction the one followed by the car.

We can choose to place our origin at the location where the motorcycle was stopped at the side of the road (assuming that it is the same point  for the car when it passes him), so our initial position is 0.

We can also choose our time origin to be the same as the instant that the motorcycle starts from rest, so t₀ = 0.

With these assumptions, and assuming also that the acceleration is constant, we can write two equations, one for the car (at constant speed) and the another one for the motorcycle, as follows:

xc = vx*t

xm= 1/2*a*t²

When the motorcycle passes the car, both distances traveled from the origin will be equal each other, i.e., xc = xm :

⇒ vx*t = 1/2*a*t²

We have as givens vx=35 m/s and t = 14.5 sec when both equations are equal each other.

⇒ 35 m/s* 14.5 s = 1/2*a*(14.5)²(s)²

Solving for a:

a = (2* 35 m/s) / 14.5 s = 4.8 m/s²

b) Replacing the value of a in the equation for xm, we have:

xm = 1/2*4.8 m/s²* (14.5)²s² = 505 m.

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Answer:

2.) x = 99

4.) x = 12

6.) x = 5

8.) n = 20

10.) x = 4

12.) y = 88

Step-by-step explanation:

Answer:

30 is the answer

Step-by-step explanation:

i hope it help you

Answer:

30 is the correct answer

hope it helps u dear ❤

The diagonal distance from home plate to third base is approximately √16,200 feet.

The correct answers are:

B. 90 feet

C. √16,200 feet

D. 180 feet.

In baseball, the bases are arranged in a square shape.

The distance between each base is 90 feet.

Therefore, the correct answer for the distance a player at first base has to throw to a player at third base is 90 feet (option B).

To find the diagonal distance from home plate to third base, we can use the Pythagorean theorem.

Since the area of the baseball field is a square, the diagonal distance represents the hypotenuse of a right triangles.

The two legs of the right triangle are the sides of the square, which are 90 feet each.

Using the Pythagorean theorem \((a^2 + b^2 = c^2),\) we can calculate the diagonal distance:

a = b = 90 feet

\(c^2 = 90^2 + 90^2\)

\(c^2 = 8,100 + 8,100\)

\(c^2 = 16,200\)

c = √16,200 feet (option C)

Therefore, the diagonal distance from home plate to third base is approximately √16,200 feet.

The options A, √180 feet, and 180 feet are incorrect because they do not represent the correct distances in the given scenario.

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They are moving to fast to be pulled into the sun

Please brainliest

Happy Halloween

Based on this diagram the sun acts as a slingshot to shoot back into space to repeat the cycle again and when it goes around the sun that is called a full year that is what makes up the seasons

A little bit of extra credit for you

The correct answer is March, as it was the month in which the average number of hours worked by the website designers was closest to 50 hours.

A month is a unit of time typically consisting of 30 or 31 days. It is used for measuring periods of time, for example, when we say something happened "a month ago". Months are used in both the Gregorian calendar and the Julian calendar.

This data was gathered from a survey of website designers, which was conducted to determine the average number of hours each month that these professionals spent working.

In January, the average number of hours worked was 46.5. In February, it was 48.8. However, in March, the average number of hours worked was 49.4, which was the closest to 50 hours. This was followed by April, in which the average was 49.7.

Overall, it can be concluded that March was the month in which the average number of hours worked by website designers was closest to 50 hours. This is important data for website designers, as it allows them to understand the amount of time they should be spending on their work in order to be successful. It also helps employers gauge the workload of their website designers and ensure they are providing an adequate amount of work.

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Answer:

24 and 27

Step-by-step explanation:

√600 = 24.4

√700 = 27.7

So, the numbers should be around 24 and 27

thus you have option 3

Answer:

.79x+24=1.29

took way long then it should my fault but 1.29-.79=.5

x=18/.5

x=36 sorry for taking so long and this the answer i just answered it in a weird way sorry

Step-by-step explanation:

Rewrite each number as an improper fraction to multiply

2 1/4 = 9/4

3 1/5 = 16/5

Now multiply:

9/4 x 16/5 = (9 x 16) / (4 x 5) = 144/20

Now rewrite as a proper fraction:

144/20 = 7 4/20 = 7 1/5

The answer is 7 1/5

Answer:(15,0)

Step-by-step explanation:

Answer:

\(2\sqrt[3]{5}\)

Step-by-step explanation:

40 = 8 x 5 and 8 is the cube of 2, so 2 goes on the outside but 5 can't be simplified

Answer:

should be 38 feet

Step-by-step explanation:

P=L+L+W+W

12+12=24

7+7=14

14+24=38

Answer:

B and C

Explanation:

Only plant cells have a cell wall and chloroplast

Answer:

4 bouquets

Step-by-step explanation:

5/5 = 20 flower bouquets.

Find out how much flower bouquets there are when it's 1/5.

5/5 = 20

1/5 = 20 ÷ 5 = 4

Since tulips are 1/5 as 5/5 - 4/5 = 1/5, 4 bouquets are tulips.

1.333...percent

Hope it helps

Answer:

\(y = |x + 9| - 6\)

Step-by-step explanation:

Given

\(y = |x|\) --- the correct equation

Shifted down 6 units

Shifted left 9 units

Required

The new equation

When function is shifted down by b units, the new function is:

\((x,y) = (x,y-b)\)

In this case:

\(b =6\)

So, \(y = |x|\) becomes

\(y =|x| - 6\)

When function is shifted left by b units, the new function is:

\((x,y) = (x+b,y)\)

In this case:

\(b =9\)

So: \(y =|x| - 6\) becomes

\(y = |x + 9| - 6\)