A composite figure is shown.
6 ft
6 ft
6 ft
20 ft
What is the total surface area of the figure?
A. 180 sq ft
B. 60 sq ft
C. 480 sq ft
D. 720 sq ft
4 ft

A Composite Figure Is Shown.6 Ft6 Ft6 Ft20 FtWhat Is The Total Surface Area Of The Figure?A. 180 Sq FtB.

Answers

Answer 1

The total surface area of the given figure is 720 ft² that is option (D).

The Lateral Surface Area( LSA) of an object is the area covering all the sides of the object except it top and bottom .

Let us divide the given Composite figure into three parts ,

Part(a) = top part having shape of pyramid

First we will calculate the LSA of the top pyramid.

Given that

base = 6ft

perpendicular distance = 4ft

Slant height(l) = [tex]\sqrt{(\frac{base}{2} )^{2} +(perpendicular . distance )^{2} }[/tex]

On substituting the values we get

l=√(3²+4²)

l=√25

l=5 ft

LSA of pyramid = (1/2)* perimeter of base * slant height

Substituting the values we get ;

=(1/2)*(4*6)*5

=60 ft²         ....(i)

Part (b)

the 2nd part is a rectangular prism with length = 20 ft

and breadth = 6 ft

Surface area of rectangular prism = 4*Area of side

                                                         =4*20*6

                                                         =480 ft²       ...(ii)

Part(c)

The last part is a cube with only 5 sides of side 6ft.

Surface Area of the cube = 5*Area of side

                                           =5*6*6

                                           =180 ft²     ....(iii)

Total surface area of the figure= LSA of pyramid + Surface area of rectangular prism  + Surface Area of the cube

Substituting the values from equation (i) , (ii) and  (iii) we get ,

Total surface area of the figure = 60+480+180

                                                     =720 ft²

Therefore , the total surface area of the given figure is 720 ft².

hence option (D) 720sq ft is correct.

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Related Questions


Martin wants to clean his swimming pool.
He hired a cleaning machine to do this job.
The cost of hiring the cleaning machine was
£35.54 for the first day,
then £18.25 for each extra day.
Estimate how much it would cost to rent the machine for 4 days.



Help plssss

Answers

Answer:

90.29

Step-by-step explanation:

I did math

question is attached to image
question 9a

pls help

Answers

Answer:

(x-2y){5-(x-2y)}

=(x-2y)(5-x+2y)

Given the points a(- 1, 2) and b(7, 10), find the coordinates of the point p on the directed line segment that partitions in the ratio 1:3. plot p along with segment ab

Answers

The coordinate of point p such that it is dividing line ab into 1:3 is (1,4).

What are coordinates?

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

Coordinate a point with intercept m: n and bounded by coordinate (x₁, y₁) and (x₂, y₂).

x = [m(x₂) + n(x₁)]/(m + n)

And,

y = [m(y₂) + n(y₁)]/(m + n)

So,

x = [1(7) + 3(-1)]/(1+3) ⇒ x = 1

y = [1(10) + 3(2)]/(1+3) ⇒ y = 4

Hence "The coordinate of point p such that it is dividing line ab into 1:3 is (1,4)".

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If I spend $35 every 2 weeks, how much do I spend in a year?

Answers

You would spend $910 every year. there are 52 weeks in a year and 52/2 = 26 and 26 times 35$ is 910$

Simplify the expression.
12e +6-2e + 5

Answers

Answer:

10e + 11

Step-by-step explanation:

12e + 6 - 2e + 5 ← collect like terms

= (12e - 2e) + (6 + 5)

= 10e + 11

This question is a combining line terms question. Let’s solve through steps:

1. Rewrite

12e + 6 - 2e + 5

2. Combine like terms

12e - 2e = 10e
6 + 5 = 11

Our final equation is 10e + 11.

Final answer: 10e + 11

If Kevin has a total of 81 hours of service, how many weeks has he volunteered?​

Answers

If Kevin has a total of 81 hours of service, then he volunteered for 0.48 weeks.

As per the question statement, Kevin served as a volunteer for 81 hours.

We are required to find out the number of weeks, he volunteered his service.

To solve this question, we just need to know that a week consists of how many hours ?

We can proceed with the facts that a week consists of 7 days and each day consists of 24 hours. Therefore, a week consists of [tex](24*7)=168[/tex] hours, of which, Kevin volunteered for 81 hours.

Therefore, as per the unitary method, we get that,

168 hours make 1 week, then

1 hour makes [tex](\frac{1}{168})[/tex] weeks, and

81 hours make [tex](\frac{81}{168})=0.48[/tex] weeks approximately.

Unitary Method: This is a technique for solving a problem where first, we find the value of a single unit, and then find the necessary value by multiplying the single-unit value.

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how much do we pay for the mesh around the garden, which has a shape of a square measuring 25m and one ordinary meter of mesh costs 23 euros.

Answers

The cost of the mesh measuring 25 m is 2300 euros .

The perimeter of a square is that the distance lined by its four sides. Perimeter surrounds or outlines the form in a very two-dimensional plane.Since all the edges of a sq. square measure equal, therefore, the perimeter of sq. are four times its aspect, i.e. 4 × Side.

The perimeter of the sq. is outlined because the total length of the boundary of a sq.. we want to feature all the edges of sq. to seek out its perimeter. By the formula of perimeter of polygonal shape, we know;

Perimeter = add of all sides

Perimeter of sq. = add of the lengths of four sides

= aspect + aspect + aspect + aspect

= 4 × side

First , we will calculate the the perimeter of the square

Perimeter of square = 25 × 4.

                                     = 100 m

Total cost = perimeter required  × cost per meter .

Cost of mesh = 100 × 23

                        = 2300 euros

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A magnetic levitation train travels between the city center of shanghai china and pudong international airport. the trip covers 30 kilometers i'm just 8 minutes. what is the average speed of the train in miles per hour

Answers

Average speed of the train as it covered 30 kilometers in 8 minutes is equal to 139.8 miles per hour.

As given,

Total distance= 30 kilometers

Total time taken = 8 minutes

1 kilometer = 0.62137 miles

30 kilometers = 30 × 0.62137

                     = 18.641 miles

8 minutes = ( 8 / 60) hour

Average speed= total distance / total time taken

                                          = 18.641 / (8/60)

                                          = 139.8 miles/ hour

Therefore, average speed of the train as it covered 30 kilometers in 8 minutes is equal to 139.8 miles per hour.

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The total number of data items with a value less than the upper limit for the class is given by the _____ distribution.

Answers

The cumulative frequency distribution indicates the total number of data items with values below the class's upper limit.

By cumulative frequency, what do you mean?

Cumulative frequency analysis examines how frequently values of a phenomena occur that are less frequent than a reference value. The phenomenon could depend on time or place. Another name for cumulative frequency is frequency of non-exceedance. Each frequency from a frequency distribution table is added to the total of its predecessors to determine the cumulative frequency. Since all frequencies will have previously been added to the prior total, the final result will always be equal to the sum of all observations. The quantity of an element in a set is referred to as the element's frequency. The accumulation of all earlier frequencies up to the present time is another definition for cumulative frequency.

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I need help with this asap

Answers

The function rules for each of the given tables are;

11) f(x) = 4x

12) f(x) = x - 3

13) f(x) = x + 12

14) f(x) = x/10

15) This doesn't have a function rule.

16) Function rule here is non existent

How to state the required function rule?

11) In this table, we can observe that the output values are all four times the input value. Thus, the function rule here is;

f(x) = 4x

12) In this table, we can observe that the output values are all 3 units less than the input value. Thus, the function rule here is;

f(x) = x - 3

13) In this table, we can observe that the output values are all 12 units more than the input value. Thus, the function rule here is;

f(x) = x + 12

14) In this table, we can observe that the output values are equal to the input value divided by 10. Thus, the function rule here is;

f(x) = x/10

15) This doesn't have a function rule as the values don't match a pattern

16) Function rule here is non existent

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How do answer this question?

Answers

Answer:(0,4)

Step-by-step explanation:

Answer:

(-5, -1)

Step-by-step explanation:

The profits shown in retained earrings can be used for_
A. Predicting future income.
B.re-investment into the company
C. Buying a house.
D. Investing into other companies.

Answers

The profit shows in retained earning can be used for reinvestment into the company

There are many measures and uses of earnings. Some analysts like to calculate earnings before taxes (EBT), also known as pre-tax income. Some analysts prefer to see earnings before interest and taxes (EBIT). Still, other analysts, mainly in industries with a high level of fixed assets, prefer to see earnings before interest, taxes, depreciation, and amortization, also known as EBITDA.

Earnings that deviate from the expectations of the analysts that follow that stock can have a great impact on the stock's price, at least in the short term. For instance, if analysts on average estimate that earnings will be $1 per share and they come in at $0.80 per share, the price of the stock is likely to fall on that "earnings miss."

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Enclose the error in solving the polynomial multiplication. Then correct it.
Correction:

Answers

Answer:

Hello,

Step-by-step explanation:

[tex](t^3+4)(t^3-4)\\\\= (t^3)^2-(4)^2\\\\=t^6-16[/tex]

The midpoint of a line segment ab is (1, 2). point a coordinates are (3,-3)
and point b coordinates are (x, 7). find the value of x.

Answers

The value of x in (x,7) is -1

Mid Point of a line segment is defined as the point which divides the line segment in equal ratio that means divides in two equal parts.

Let one end point of line segment be A(a,b) and other end be B(c,d)

then its mid point X(x,y) will be given by [tex]x=\frac{a+c}{2} , y=\frac{b+d}{2}[/tex]...….(1)

Given the points A(3,-3) and B(x,7) and the midpoint X(1,2)

The  mid point [tex](1,2)=(\frac{3+x}{2} ,\frac{-3+7}{2} )[/tex]...............using (1)

On comparing the x coordinate we get

[tex]1=\frac{3+x}{2}[/tex]

On cross multiplying we get

[tex]2=3+x[/tex]

On solving further

[tex]x=-1[/tex]

Therefore ,  the value of x in (x,7) is -1.

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AD = 6x - 4 and AC = 4x - 3

Answers

Answer:

CD= 2x-1

Step-by-step explanation:

AD = 6x-4

AC = 4x - 3

CD= AD- AC

CD=  6x-4 - (4x - 3)

CD= 6x - 4 - 4x +3

CD= 2x -1

Therefore, the value of CD= 2x-1

1.00 *10³ + 4.235 *10*

Answers

either 1042.35 or 1.04235*10^3

If 25,197,624 hot dogs are packaged in sets of 4, how many will be left over?

Answers

Answer:6,299,406

Step-by-step explanation:

Explain why it’s a bad or good sample. Every other household in a neighborhood of 20 homes is surveyed to determine the country’s favorite presidential candidate?

Answers

Answer:

The sample is not random because every other household is surveyed. This means that the sample is not representative of the entire population.

Step-by-step explanation:

This is the answer because, the entire population is not being surveyed, only every other household.

the points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM : MN : NO is equal to 3 : 5 : 3. if LO = 11, find NO

Answers

Answer:

5

Step-by-step explanation:

Answer:

LM:MN:

NO =3:

3N

Step-by-step explanation:

I went to a toy shop and bought a toy car which costs $16.80, but there was a 20% discount. how much did I pay?

Answers

Step-by-step explanation:

16.80 - 20% of 16.80 = 13.44

you paid 13.44$

Answer:

=13.44

Step-by-step explanation:

0.20×16.80=3.36

16.80-3.36=13.44

Please helppppp me !,!!!!

Answers

Answer:

The last option

y = ⅓x-3

Step-by-step explanation:

Slope-intercept form :

y=mx+c

[tex]x - 3y = 9 \\ - 3y = - x + 9 \\ \frac{ - 3y}{ - 3} = \frac{ - x}{ - 3} + \frac{9}{ - 3} [/tex]

[tex]y = \frac{1}{3} x - 3[/tex]

Solve the given differential equation by using an appropriate substitution. the de is a bernoulli equation. xdy/dx-(1 x)y=xy^2

Answers

-ln ( 1 - x/y - x) = c is a bernoulli equation. xdy/dx-(1 x)y=xy^2.

What is a differential equations explain?

Any equation with one or more terms and one or more derivatives of the dependent variable with respect to the independent variable is referred to as a differential equation (i.e., independent variable) dy/dx = f(x) (x)

[tex]\frac{-1}{y} = u[/tex]

[tex]\frac{y'}{y^{2} } = u'[/tex]

[tex]xy' - ( 1 + x )y = xy^{2}[/tex]

[tex]x\frac{y'}{y^{2} } - ( 1 + x ) \frac{1}{y} = x[/tex]

xu' + ( 1 + x )u = x

xu' + u + ux = x

 xu = s

u + xu' = s'

s' + s = x

s - x  =t

s' - 1 = t'

t' + 1 + t = 0

dt/dx = - ( 1 + t)

-∫ [tex]\frac{dt}{1 + t} =[/tex]  ∫dx

-ln ( 1+ t ) = x + c

-in ( 1 + s - x ) = x + c

-ln ( 1 + xu - x ) = x + c

-ln ( 1 - x/y - x) = c

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One of the radioactive isotopes used in chemical and medical research is iodine-125, which has a half-life of 61 days. how long would it take for 0.25 g to remain of a 1.00 g sample of iodine-125?

Answers

Answer:122 days

Step-by-step explanation:

A board is 17 5/8 in. long. If it must be divided into seven pieces of equal​ length, how long must each piece​ be?

Answers

each piece must be 2.51785714 inches long or just 2.5 if your answer can be rounded to the nearest tenth


Suppose that for a function g (x), g (4) = 7. Select all of the statements that are true.
A.
B.
C.
D.
E.
4 is in the range of g.
For a value a, it is possible that g (a) = 4.
For a value y, it is possible that g (4) = y.
The point (4,7) is on the graph of y = g(x).
The point (7,4) is on the graph of y = g(x).

Answers

The answer is B for sure!

a) x³y²if x = 2 and y = 4

Answers

Answer:

128

Step-by-step explanation:

x³y²if x = 2 and y = 4

x³*y²

[tex](2)^{3} * (4)^{2}[/tex]

(2*2*2)*(4*4)

(8)*(16)

128

Aliya hikes up a mountain for 2 hours. During this time, she hikes a
distance of 1 miles. Which expression shows Aliya's rate in miles per
1
hour?

Answers

The expression shows Aliya's rate in miles per hour will be 1/2.

How to compute the expression?

From the information, Aliya hikes up a mountain for 2 hours and during this time, she hikes a distance of 1 miles.

Therefore, the rate will be:

= Distance / Time

= 1 / 2

Therefore, the expression shows Aliya's rate in miles per hour will be 1/2.

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Consider the set of ordered pairs (q, T), where T is the total value of q quarters in dollars, up to $1.50 in quarters (inclusive).

In the situation above, the domain is [Select] and the range is [Select].​

Answers

The domain q is a set of real numbers as(0, 0.25, 0.50, 0.75, 1.00, 1.25, 1.50).

The range is going to be a set of real numbers from 0 to 6.

What is the range and domain?

The domain of a function is the set of input values that we are allowed to plug into our function. This set is the x-values in a function.

The range of a function is the set of output values that the function assumes.

Now, we are told that there is a set of ordered pairs (q, T), where T is the total value of q quarters in dollars, up to $1.50 in quarters

Now, from conversions, we know that 1 quarters is equal to 0.25 dollar.

Thus, the domain q is a set of real numbers as(0, 0.25, 0.50, 0.75, 1.00, 1.25, 1.50).

The maximum output value will be; 1.5/0.25 = 6

Meanwhile, the range is going to be a set of real numbers from 0 to 6.

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Express the mass of 49,000 molecules of oxygen in scientific notation.
grams

Answers

The scientific notation for the mass of 49,000 molecules of oxygen is 4.9 × 10⁴ grams.

How do you define the scientific notation?

To transform numbers into scientific notation, use the following rule: In scientific notation, the exponent equals the number of times the decimal point must always be shifted to produce a number between 1 and 10.

The proper scientific notation format is an x 10∧b, where an is a number or decimal number with an absolute value greater or equal to one and less than ten, or 1 |a| 10.Scientific notation is a method of writing extremely large or extremely small numbers in a way that makes them easier to read as well as work with. A number formed by multiplying a number greater or equal to one but less than ten by an integral power of ten.

For the given value;

= 49,000 grams

write the number such that only one digit is left to the left of decimal of the number and the remaining digits to the write are written to the power of 10

= 4.9000 × 10⁴

This could be written as;

= 4.9 × 10⁴.

Therefore, the value of the mass of 49,000 oxygen molecules in the form of scientific notation is 4.9 × 10⁴ grams.

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Find the equation of the line shown.

Answers

Answer: y=0.5x+0.5

Step-by-step explanation:

[tex]\displaystyle\\(1,1)\ \ \ \ (-3,-1)\\\\\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }\\\\x_1=1\ \ \ \ x_2=-3\ \ \ \ y_1=1\ \ \ \ y_2=-1\\\\\frac{x-1}{-3-1}=\frac{y-1}{-1-1} \\\\\frac{x-1}{-4}=\frac{y-1}{-2} \\[/tex]

Multiply both parts of the equation by -2:

[tex]\displaystyle\\\frac{x-1}{2} =y-1\\\\\frac{x}{2}-\frac{1}{2} =y-1\\\\\frac{x}{2}-\frac{1}{2}+1 =y-1+1\\\\\frac{x}{2}+\frac{1}{2} =y \\[/tex]

Thus,

y=0.5x+0.5

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