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

Simplify $(-3x^2 y)(5x^4 y^3).$

Answers

Answer: [tex]-15x^6y^4[/tex]

Step-by-step explanation:

(-3x^2 y)(5x^4 y^3)=

-3x^2 *5x^4 *y*y^3=

-3*5*x^2 *x^4 *y^4=

-15*x^(2+4) *y^4=[tex]-15x^6y^4[/tex]

Hope this helped
Check the image below for working

can someone solve this please, thank you​

Answers

Answer:

110

Step-by-step explanation:

13x - 20 + 7x = 180

20x -20 = 180

20x = 200

x = 10

13(10) - 20

=110

millimeters
Equal 15 centimeters 4 millimeters

Answers

154mm

we know that  1cm = 10 mm

 therefore      15cm= 10*15 mm

                               =  150 mm

and 4 mm

we get total mm= 15cm +4mm

                          = 150mm+4mm

                           = 154 mm                  

mm stands for millimeters and cm stand for centimeters

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Evaluate the given function as required. (round your answer to two decimal places.) f(x) = x 6 x2 1 at x = 5 f(5) =

Answers

The value of the function for f(5) is 15,651.

The given function is [tex]f(x)=x^{6}+x^{2} +1[/tex].

We need to find the value of f(5).

What is the function?

Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math.

Now, put x=5 in the function [tex]f(x)=x^{6}+x^{2} +1[/tex] and simplify.

That is, f(5)=[tex]5^{6} +5^{2} +1[/tex]

=15,625+25+1

=15,651

Therefore, the value of the function for f(5) is 15,651.

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26
Write the time.
O
10
11
7
12
وانيه

Answers

Answer is 5:30.. Hope it Helps

Does the mapping diagram represent a function? Why or why not? X -6 2- 3 y 10 5 4 A. No; the input value x = 3 pairs with two different output values. B. No; two output values pair with two different input values. C. No; each input pairs with only one output. D. Yes; each input pairs with only one output.​

Answers

Answer:

A. No; the input value x=3 pairs with two different output values.

Step-by-step explanation:

For this to be a function, each of the x values should have only one output value.

Hope this helps!

Please mark as brainliest if correct!

mathhhhhhhhhhhhhh._ help plsssssss

Answers

Answer:

[tex](-4,-\frac{1}{2})[/tex]

Step-by-step explanation:

The midpoint of a line segment can be found using the midpoint formula below:

[tex]\boxed{\text{Midpoint}=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )}[/tex]

Note that [tex](x_1,y_1)[/tex] is the 1st coordinate and [tex](x_2,y_2)[/tex] is the 2nd coordinate of the end points.

Let's identify the coordinates of the two end points, A and B.

On both axes, a square represents 1 unit.

A(-5, -4) and B(-3, 3)

Applying the midpoint formula,

midpoint

= [tex](\frac{-5-3}{2} ,\frac{-4+3}{2} )[/tex]

= [tex](\frac{-8}{2},\frac{-1}{2} )[/tex]

= [tex]\bf{(-4,-\frac{1}{2}) }[/tex]

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Please Help!
Find the dimensions of an American football field. The length is 200ft. more than the width, and the perimeter is 1,040ft. Find the length and width. Use the perimeter formula P=2L+2W

Answers

The width and length of the field are 160ft and 200ft respectively

When both the given variables are related to each other, we are required to consider one variable as x and the other as a function of x to solve accordingly

Let the width of the football field be 'x' ft.

then according to given data,

length= 200 ft more than width= (x+200)ft

According to given,

Perimeter of the given field =2L+2W=1040

where L is length and W is the width

Now putting the values of length and width earlier derived, we get:

2(x)+2(x+200) =1040

2x+2x+400=1040

4x+400=1040

4x=1040-400

4x=640

x=160ft

Now, the width of the field= x=160ft

length of the field= x+200=160+200=360ft

Hence the length and the width of the field are 160ft and 360ft

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Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. the amount of snowfall in december in city a

Answers

The function is a continuous random variable. The correct option is B.

What is a continuous random variable?

Continuous random variables are those that have a large number of uncountable possible values. There are countless possible values. In this illustration, there is no limit to the range of possible values for the height of a giraffe in meters, such as 10.5m, 15.22m, 12.0m, etc. There are countless options.

Discrete Variables that have a finite number of possible outcomes are known as random variables. When a dice is rolled, for example, the outcomes could be 1, 2, 3, 4, 5, or 6. There are only six possible values, with nothing in between.

Therefore, the function is a continuous random variable. The correct option is B.

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The table shows the distance traveled by 4 cycleists. Sort the speeds of the riders, in miles per hour, from slowest to fastest.

Answers

The speed from slowest to the fastest is Julio; Elana; Kevin; Lorena.

Given that a table shows the distance traveled by 4 cyclists as shown in attached images.

Speed ​​is defined as . The rate at which an object changes position in any direction. Speed ​​is measured as the ratio between distance and time traveled.

Firstly, we will calculate the speed of Elena.

The given distance is 20(1/2) mi or it can be written as 41/2mi and the time is 2(1/4) hr or 9/4hr.

Now, substitute the values in speed formula that is

Speed=Distance/Time

Speed=(41/2)/(9/4)

Speed=(41/2)×(4/9)

Speed=82/9 mi/hr.

Now, we will calculate its speed of Julio.

The given distance is 12(1/4) mi or it can be written as 49/4mi and the time is 1(1/2) hr or 3/2hr.

Now, substitute the values in speed formula that is

Speed=Distance/Time

Speed=(49/4)/(3/2)

Speed=(49/4)×(2/3)

Speed=49/6 mi/hr.

Further, we will calculate the speed of Kevin.

The given distance is 20(2/3) mi or it can be written as 62/3mi and the time is 1(2/3) hr or 5/3hr.

Now, substitute the values in speed formula that is

Speed=Distance/Time

Speed=(62/3)/(5/3)

Speed=(62/3)×(3/5)

Speed=62/5 mi/hr.

Furthermore, we will calculate the speed of Lorena.

The given distance is 33(1/4) mi or it can be written as 133/4mi and the time is 2(1/3) hr or 7/3hr.

Now, substitute the values in speed formula that is

Speed=Distance/Time

Speed=(133/4)/(7/3)

Speed=(133/4)×(3/7)

Speed=57/4 mi/hr.

Hence, the speeds from slowest to fastest from the given table is Julio; Elana; Kevin; Lorena.

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Find the slope of the line in simplest form of a line containing points (-5,2) and (-7,4).

Answers

Answer:

-1

Step-by-step explanation:

[tex]\frac{4-2}{-7-(-5)}=\frac{2}{-2}=-1[/tex]

− 2|5 − 1| − 3 =− 11 Pls help
The lines mean absolute value.

Answers

Not sure what the question is, but both sides are equal to each other. -11=-11, so if the question is if both sides are equal, then it's true

5) Margot buys a 5 litre bottle of lemonade for £2.30. She divides it into glasses. She
pours 250ml into each glass. She sells all the glasses at 25p each.
Work out her percentage profit.

Answers

Answer: 117.39%

Step-by-step explanation:

5 Litre x 1000 ml         (1 litre=1000ml)

=5000 ml

5000÷250

=20 glasses

20 x 25p = 500p (£1 = 100p)

£(500÷100)=£5.00

5.00-2.30/2.30 x 100%

=2.7/2.3 x 100%

≈117.39%

Does this help?

The area of a certain desert​ (Desert 1) is four times the area of another desert​ (Desert 2). If the sum of their areas is 15,000,000 square​ miles,

find the area of each desert.
Question content area bottom

Part 1

What is the area of Desert​ 1?

What is the area of Desert​ 2?

Answers

Answer:

Area of Desert 1 = 12,000,000     Area of Desert 2 = 3,000,000

Step-by-step explanation:

x+y=15,000,000

x=4y

4y+y=15,000,000

5y=15,000,000

y=3,000,000

PLEASE HELP ASAPPP !! WILL GIVE BRAINLIEST AND 5 STAR RATINGGG

Answers

Answer: C

Step-by-step explanation:

A negative times a negative equals a positive.

if there are 15 cubs and 4 lionesses, what is the ratio of cubs to lionesses?

Answers

Answer:

15 : 4

Step-by-step explanation:

Given that,

→ 4 lionesses

→ 15 cubs

Then the ratio of cubs to lionesses,

→ x = No. of cubs : No. of lionesses

→ [ x = 15 : 4 ]

Hence, the ratio is 15 : 4.


each problem, create a table
Write an equation, in slope-intercept form, to model each situation.
1. You rent a bicycle for $20 plus $2 per hour.
Y=2x120

Answers

Answer:

You have a fixed cost ($20) and a variable cost ($2*number of hours you rent the bike)

Cost = Variable Cost + Fixed Cost

Let y = your Cost and x = the number of hours you rent the bike.  The fixed cost is $20.

y = ($2 per hour)*(x hours) + $20

y = 2x + 20

if ABCD is dilated by a factor of 2 the coordinate of C’ would be

Answers

Cordniate of c would be (-11,-1).

by a factor of one half the cornet of C would be what? So let's list the coordinates of A. B. C. D. First. So a is at -4 -2. And B is at negative to positive too. C is at 2:04 and D is at two negative two. Okay. So if I'm going to dilate by a scale factor of one half, that means I'm going to divide everything by two. So a prime would be negative two comma negative one. So negative two negative one. Oops. Would be a prime. You erased that at the dot that I did. And then be prime would be at negative one comma one. So be prime would be at negative one, comma one. See prime Would be at 1:02 one comma two.  And d prime would be at one comma negative 11 comma negative one

So therefore the cordinates of C would be (-11,-1)

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Answer:
The correct answer is C'= 4,4
Step-by-step explanation:
C=2,2 and dilated is larger so you would add 2 to both and you get 4,4 for C'

*PLS HELP*
A student is given the rectangle and the square shown. The student states that the two figures have the
same perimeter. Is the student correct? Complete the explanation to explain your reasoning.
X+4
X
X+2
X+2
The student is (select) The perimeter of a figure is found by (select)
For the rectangle, the perimeter is
. For the square, the perimeter
is
the lengths of its sides.

Answers

Answer:

The student is correct. The perimeter of a figure is found by adding the length of it's sides. For the rectangle, the perimeter is 4x+8. For the square, the perimeter is 4x+8

Step-by-step explanation:

Perimeter for rectangle:

2(x+4) + 2x

2x + 8 + 2x

4x + 8

Perimeter for the square:

4(x+2)

4x + 8

Find a and b so that f(x) is continuous for all values of x f(x)={x^2-4/x-2 if x<2 ax^2-bx+3 if 2<=x<3 2x-a+b if x>=3

Answers

The values a = 1/3 and b = 1/6.

Given function is, f(x) =  

                                       [tex]\frac{x^2-4}{x-2}\ \ \ if\ x < 2 \\ax^2-bx+3 \ \ \ if\ 2\leq x < 3\\2x-a+b\ \ \ if\ x\geq 3[/tex]

The interval in which the function is defined is broke down into three. They are: x<2, 2≤x<3 and x≥3.

Now the function [tex]\frac{x^2-4}{x-2}[/tex] is continuous except at x = 2. But this function is defined in the interval x>2. The other two function are defined as polynomial, so are continuous any way.

So for the whole function f(x) to  be continuous, we need to check the continuity at x = 2, x = 3.

When x = 2,  [tex]\frac{x^2-4}{x-2}[/tex] =[tex]\frac{(x+2)(x-2)}{x-2}=x+2 = 4[/tex]  and [tex]ax^2-bx+3[/tex] = 4a-2b+3

⇒  4a-2b+3 = 4

4a- 2b-1 = 0, for the function to be continuous at x = 2.

When x = 3,  [tex]ax^2-bx+3[/tex] = 9a-3b+3 and 2x-a+b = 6-a+b

⇒ 9a-3b+3 = 6-a+b

10a -2b-3 = 0, for the function to be continuous at x = 3.

On solving   4a-2b-1 = 0 and 10a -2b-3 = 0 by subtracting the two,

we get, -6a+2 = 0

a = 1/3 and therefore, b = 1/6

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PLS Help.............................

Answers

Answer:

Top to bottom

1

30

9

45

Step-by-step explanation:

Is it possible to have a function f defined on [ 4 , 5 ] and meets the given conditions? f is continuous on [ 4 , 5 ], is non-constant, and takes on only integer values.

Answers

No, It is not possible that f is continuous on [ 4 , 5 ] is non-constant, and takes on only integer values.

Here,

A function f defined on [ 4 , 5 ].

We have to find, is it possible to f is continuous on [ 4 , 5 ], is non-constant, and takes on only integer values.

What is Intermediate value theorem?

Intermediate value theorem states that if “f” be a continuous function over a closed interval [a, b] with its domain having values f(a) and f(b) at the endpoints of the interval, then the function takes any value between the values f(a) and f(b) at a point inside the interval.

Now,

A function f defined on [ 4 , 5 ].

Assume that the function,

f :  [ 4 , 5 ] → Z is a non constant continuous function.

Then, f(4) and f(5) both are integers and not equal to each other.

By, Intermediate value theorem;

Function f takes all real numbers between f(4) and f(5) at least once.

These would contain all non integers rational and irrational number between f(4) and f(5), contradicting the assumption that function takes only integer values.

Hence, It is not possible that f is continuous on [ 4 , 5 ] is non-constant, and takes on only integer values.

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pls helpp que 3d and 3g

Answers

Answer:

Step-by-step explanation:

d)

[tex]\displaystyle\\\frac{h}{2h+5} +\frac{5}{6} =\\\\\frac{h*6+5*(2h+5)}{(2h+5)*6} =\\\\\frac{6h+2h(5)+5(5)}{2h(6)+5(6)} \\\\\frac{6h+10y+25}{12h+30} =\\\\\frac{16h+25}{12h+30}[/tex]

g)

[tex]\displaystyle\\\frac{3n}{(2n-1)^2} -\frac{5}{2n-1} =\\\\\frac{3n*1 -5*(2n-1)^}{(2n-1)^2}=\\\\\frac{3n(1)-2n(5)-1(-5)}{(2n-1)^2}=\\\\\frac{3n-10n+5}{(2n-1)^2} =\\\\\frac{-7n+5}{(2n-1)^2}[/tex]

Name:
1.
O
a) Is the graph linear?
b) What is the domain?
c) What is the range?
d) What are the x and y intercepts?
e) Does the graph have symmetry? Type?
f) What are the extrema and end behavior? 20 points

Answers

The Graph is not linear.

To graph f, we graph the equation y = f(x). To this end, we use the techniques outlined in Section 1.2.1. Specifically, we check for intercepts, test for symmetry, and plot additional points as needed. To find the x-intercepts, we set y = 0. Since y = f(x), this means f(x) = 0. f(x) = x2−x−6 0 = x2−x−6 0 = (x−3)(x+2) factor x−3=0 or x+2=0 x = −2,3 So we get (−2,0) and (3,0) as x-intercepts. To find the y-intercept, we set x = 0. Using function notation, this is the same as finding f(0) and f(0) = 02 − 0 − 6 = −6. Thus the y-intercept is (0, −6). As far as symmetry is concerned, we can tell from the intercepts that the graph possesses none of the three symmetries discussed thus far. (You should verify this.) We can make a table analogous to the ones we made in Section 1.2.1, plot the points and connect the dots in a somewhat pleasing fashion to get the graph below on the right. y x f(x) (x, f(x)) −3 6 (−3,6) −2 0 (−2,0) −1 −4 (−1,−4) 0 −6 (0, −6) 1 2 3 4 5 6 7 −3−2−11 2 3 4 1 −6 (1, −6) 2 −4 (2, −4) 3 0 (3, 0) 4 6 (4, 6)

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A 9-foot roll of plastic wrap costs $4.41. What is the price per yard?

Answers

Answer:

$1.47 per yard

Step-by-step explanation:

3 feet = 1 yard

9 feet = 3 yards

set up a proportion

[tex]\frac{3}{4.41} = \frac{1}{x}[/tex]

cross multiply; 3x = 4.41 * 1

3x = 4.41

divide both sides by 3

x = 1.47

$1.47 per yard

(50 Points!!!)

Gwen is finding the area of the shaded sector in the given circle, which has a circumference of 6 units.

Identify the step where Gwen first made an error.

A. Step 5
B. Step 6
C. Step 3
D. Step 7

Answers

The step in which Gwen made an error for the area of the shaded region in the circle is given by:

A. Step 5.

What is the measure of the circumference of a circle?

The circumference of a circle of radius r is given by:

C = 2π r.

For this problem, the circumference is of 6π units, hence the radius is given as follows:

6π = 2π r.

r = 6/2.

r = 3 units.

What is the area of a circle?

The area of a circle of radius r is given by pi multiplied by the radius squared, as follows:

A = πr².

The entire area of the circle englobes 360º, but we want only the area at an angle of 72º, hence it is given by:

A = (72/360) πr².

Which is where Gwen made an error, at Step 5, hence option A is correct.

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\frac{\left(7x+4\right)}{2}=2-\left(2x+8\right)

Answers

Answer:5

Step-by-step explanation: I used this website called step-by-step calculator and then typed in your question

What number makes the expression equivalent? 1/2 (-14m+4)= blank m+2

Answers

In linear equation, -7 m - 2 is number makes the expression equivalent.

What in mathematics is a linear equation?

There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.

Given expression is  1/2 (-14m+ 4 )

To simplify this expression  1/2 (-14m+ 4 ) we get equivalent expression.

Multiply and Divide the expression by two.

⇒ -14m/2 + 4/2

To simplify the expression again, we get,

⇒ -7 m - 2

So, we found the coefficient of m is -7

The missing number is -7

Hence, –0.7 makes the expression equivalent.

Therefore,1/2 (-14m+4) = -7 m - 2

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The product of 5 and a number minus 7 is 23

Answers

Answer:

6

Step-by-step explanation:

5*6 is 30 - 7 is 23

work backwards

The average age of undergraduate students at grand canyon university is 44. if the standard deviation is 4, what percentage of undergraduate students are between 36 and 52 years old?

Answers

75% is percentage of undergraduate students are between 36 and 52 years old.

What is percentage and example?

A percentage is a ratio or fraction where the full value is always 100. For example, if Sam received 30% marks in his math test, it signifies that he scored 30 marks out of 100. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.The percentage is used to determine “how much” or “how many.” A percentage number aids in calculating the exact amount or figure that is being discussed. Fractions are compared.

This would be true if k=3, but k=2

because (36-44)/4 = -2 and (52-44)/4 = 2

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