The three-dimensional figure shown consists of a cylinder and a right circular cone. The radius of the base is 10 centimeters. The height of the cylinder is 16 centimeters, and the total height of the figure is 28 centimeters. The slant height of the cone is 13 centimeters. Which choice is the best approximation of the surface area of the figure? Use 3.14 to approximate pi.

The Three-dimensional Figure Shown Consists Of A Cylinder And A Right Circular Cone. The Radius Of The

Answers

Answer 1

Answer:

2,041 square centimeters

Step-by-step explanation:

surface area = (2 × π × r × h) + ((π × r) × (r+ (√(c² + r²))))+(π × r²)

where,

cylinder  base radius (r) = 10  cm

height of cylinder (h) = 16 cm

total height = 28 cm

cone height (c) = total height - height of cylinder = 28 - 16 = 12cm

π = 3.14

surface area = (2 × 3.14 × 10 × 16) + ((3.14 × 10) × (10+ (√(12² + 10²))))+(3.14 × 10²)

surface area = 1004.8 + (31.4 * 25.6) + 314

surface area = 2122.64 cm²

therefore the approximate surface area given is 2,041 square centimeters


Related Questions

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The median of the upper half of the data set is the _____________.
A. First quartile
B. Second quartile
C. Third quartile
D. Fourth quartile

Answers

Answer:

the answer is A

I think so

which phrase matches the algebraic expression bellow? 2(x+7)+10

Answers

Answer:

i think your answer is two times the sum of x and seven plus ten

if i am wrong than tell me

Step-by-step explanation:

hope this will help :)

What is the 1st mistake...

Answers

Answer:

[tex]\huge\boxed{Step \ 3}[/tex]

Step-by-step explanation:

In Step # 3, We need to divide rather than to subtract. So, the first mistake is done in step 3.

Answer:

[tex]\Large \boxed{\mathrm{Step \ 4}}[/tex]

Step-by-step explanation:

[tex]20 +20 \div 4-2[/tex]

Division should be performed first, not subtraction.

[tex]20+5-2[/tex]

Watch help video
Which value of x satisfies the equation

Answers

Answer:

-1

Step-by-step explanation:

1.25(x+1.5)=0.625

(x+1.5)=0.5

x=-1

HURRY ASAP 80 (I NEED THIS ANSWER BY TONIGHT OR TOMORROW)
Discussion Topic
Is there more than one way to find the slope of a line? If so, describe both methods of solving for slope.

Answers

Answer:

yes there are more than one ways to find slope of a line.

Step-by-step explanation:

When both the points are given of same line we may use formula to find slope.

If equation of line is given we can convert it into slope intercept form and then we can find slope.

Write the event as set of outcomes. When we roll two dice, the total showing is eight.
A. {(2, 6), (3, 5), (4, 4), (5, 3), (6, 2)}
B. {(2, 6), (3, 5), (4, 4)}
C. {(2, 6), (3, 5), (5, 3), (6, 2)}
D. {(1, 7), (2, 6), (3, 5), (4, 4), (5, 3), (6, 2), (7, 1)}

Answers

Answer: A. {(2, 6), (3, 5), (4, 4), (5, 3), (6, 2)}

Explanation:

We simply list each possible choice in the form (x,y) where x is the result of the first die and y is the result of the second die.

The sum must be 8 so x+y = 8.

Choice A is the complete list showing all possible sums of 8.

Choice B is missing (5,3) and (6,2).

Choice C is missing (4,4)

Choice D shows (1,7), but 7 isn't a valid roll of a six-sided die.

HELP PLEASE!!! What is the vertex of the parabola generated by the function
f (x) = 2x^2 - 4x + 3 ?

Answers

Answer:

VERTEX: (1,1)     Directrix: Y=0.88    

Step-by-step explanation:

Answer:

vertex = (1, 1 )

Step-by-step explanation:

Given the equation of a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

f(x) = 2x² - 4x + 3 ← is in standard form

with a = 2 and b = - 4 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{4}[/tex] = 1

Substitute x = 1 into f(x) for corresponding y- coordinate of vertex

f(1) = 2(1)² - 4(1) + 3 = 2 - 4 + 3 = 1

vertex = (1, 1 )

9.

For which discriminant is the graph possible?

A. b2 – 4ac = 3
B. b2 – 4ac = –4
C. b2 – 4ac = 0

Answers

Answer:

C. b2 – 4ac = 0

Step-by-step explanation:

can i please have help please?? Is 32,120 equal to 3.212×10 to the 4 power?

Answers

Answer:

Yes

Step-by-step explanation:

3.212 x 10^4

=> 3.212 x 10000

=> 32.12 x 1000

=> 321.2 x 100

=> 3212 x 10

=> 32120 x 1

=> 32120

Answer:

Yes

Step-by-step explanation:

In scientific notation, the power is the number of times you move the decimal place to the right.

3.212 x 10^4 is equivalent to 32,120 when you move the decimal place 4 times to the right.

So, 32,120 is equivalent to 3.212 x 10^4

X-5y=-15x−5y=−15x, minus, 5, y, equals, minus, 15 Complete the missing value in the solution to the equation. (-5,(−5,left parenthesis, minus, 5, comma ))

Answers

Answer:

The missing value is 2. The coordinate will be (-5, 2)

Step-by-step explanation:

The question is not properly written. Find the correct question below.

If x – 5y = -15 . Complete the missing value in the solution to the equation (-5, ____)

Let the coordinate of the variables be (x, y). Comparing the coordinates (x, y) with the given coordinate (-5, __), we will discover that x = -5. To get the y coordinate, we will substitute x = -5 into the given expression as shown;

If x – 5y = -15

-5 - 5y = -15

Adding 5 both sides

-5-5y+5 = -15+5

-5y = -10

Dividing both sides by -5;

-5y/-5 = -10/-5

y = 2

Hence the missing value in the solution of the equation is 2. The coordinate will be (-5, 2)

Answer:

2

Step-by-step explanation:

I did the khan :)

What is the simplest form of this expression? 3x(-x2 + 2x + 12)

Answers

Answer:

-3x³ + 6x² + 36x

Step-by-step explanation:

3x(-x² + 2x + 12)

3x*-x² + 3x*2x + 3x*12)

-3x³ +6x² + 36x

Let ε = {5,6,7,8,9}, A = {x | x >7} and B = {5,6} Find

1. P(A’)

2. P(A) U P(B)

3. P(A) ∩ P(B)

4. P(A ∩ B)

Answers

Answer:

A={x| x>7} = 8,9

B= {5,6}

1,

2,{5,6,8,9}

3,{}

4{}

the sum of two numbers A and B is 25. if one fourth of A is 1 more than one third of B, find the number A.

Answers

The number A is 16.
A=16, B=9
16+9=25
1/4(16)=4
1/3(9)=3
4 is 1 more than 3.

The point A,B,C and D represent the complex number Z1,Z2,Z3 and Z4 and O is the origin. If OABC is a parallelogram, and Z1=1+3i and Z2=4+5i, find Z3

Answers

Complex numbers are divided into two parts; real and imaginary parts. The value of Z3 is [tex]5+ 8i[/tex]

Given that:

[tex]Z_1 = 1 + 3i[/tex]

[tex]Z_2 = 4 + 5i[/tex]

Since O is the origin, then:

[tex]C = OA + OB[/tex]

This means that:

[tex]Z_3 = Z_1 + Z_2[/tex]

So, we have:

[tex]Z_3 = 1 + 3i + 4 + 5i[/tex]

Collect like terms

[tex]Z_3 = 1 + 4+ 3i + 5i[/tex]

[tex]Z_3 = 5+ 8i[/tex]

Hence, complex number Z3 is [tex]5+ 8i[/tex]

Read more about complex numbers at:

https://brainly.com/question/18509723

Answer it please ↓↓

Fubuki drives 18.4 miles in 16 minutes. He passes a sign which gives the speed limit as 60 mph. By how much, in mph, did Fubuki's average speed exceed the speed limit?

Answers

Step-by-step explanation:

hope this helps to u......

is 1 whole 1 by 3 considered as an integer??

Answers

Answer:

No it's not.

Step-by-step explanation:

[tex]1 \frac{1}{3} = \frac{4}{3} = 1.333333[/tex]

Integers are set of numbers consisting

Whole numberNatural numberNegative numbers

It doesn't consist

Fractions &Decimals

Hope this helps ;) ❤❤❤

Answer:

[tex]\boxed{\sf No}[/tex]

Step-by-step explanation:

[tex]\displaystyle 1 \frac{1}{3} =1.3333333...[/tex]

Integers are whole numbers that can be positive or negative. Integers do not include fractions and decimals.

y is inversely proportional to x². When x=4, y=7.5 Find y when x=5 (i also forgot the symbol for directly and inversely proportional and i'm pretty sure there is one)

Answers

Answer:

y = 4.8

Step-by-step explanation:

Given that y is inversely proportional to x² then the equation relating them is

y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of proportion

To find k use the condition when x = 4, y = 7.5 , then

7.5 = [tex]\frac{k}{4^2}[/tex] = [tex]\frac{k}{16}[/tex] ( multiply both sides by 16 )

k = 16 × 7.5 = 120

y = [tex]\frac{120}{x^2}[/tex] ← equation of proportion

When x = 5 , then

y = [tex]\frac{120}{5^2}[/tex] = [tex]\frac{120}{25}[/tex] = 4.8

please see the photo and answer the quastion​

Answers

Answer:

A.

Step-by-step explanation:

I used a graphing calculator to check

Answer:

A

f(x)=(x+2)/(x+1)

Simplify.
2(x+2) - 4x

Answers

Answer:

-2x+4

Step-by-step explanation:

2(x+2) - 4x

Distribute

2x+4 - 4x

Combine like terms

-2x+4

Answer:

-2x+4

Step-by-step explanation:

2(x+2)-4x

(2x+4)-4x

2x+4-4x

-2x+4

Triangle H N K is shown. Angle H N K is 90 degrees. The length of hypotenuse H K is n, the length of H N is 12, and the length of N K is 6. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the value of n to the nearest whole number? 10 13 18 21

Answers

Answer:

13

Step-by-step explanation:

From the question, we are given a triangle HNK with an angle of 90°

The length of hypotenuse H K is n,

the length of HN is 12

the length of N K is 6.

From the above values, obtained in the question, we can see that this is a right angled triangle.

We are asked to find the length of the hypotenuse.

We can use Pythagoras Theorem of solve for this.

c² = a² + b²

where c = HK = n

a = NK = 6

b = HN = 12

c² = 6² + 12²

c² = 36 + 144

c² = 180

c = √180

c = 13.416407865

Approximately to the nearest whole number = 13

Therefore the value of HK = n = 13

We can also use Law of Cosines as given in the question to solve for this.

a² = b² + c² - 2ac × Cos A

where c = HK = n

a = NK = 6

b = HN = 12

Hence

c² = a² + b² - 2ab × Cos C

c = √ (a² + b² - 2ab × Cos C)

Where C = 90

c = √ 6² + 12² - 2 × 6 × 12 × Cos 90

c = 13.42

Approximately to the nearest whole number ≈ 13

Therefore the value of HK = n = 13

Answer:

B) 22 units

Step-by-step explanation:

edge 2020 :)

What is the volume of a cylinder, in cubic centimeters, with a height of 8 centimeters
and a base diameter of 16 centimeters? Round to the nearest tenths place

Answers

Answer:

1608.5 cm³

Step-by-step explanation:

Use the cylinder volume formula, V = [tex]\pi[/tex]r²h

If the diameter is 16 cm, then the radius is 8 cm.

Plug in the radius and height into the formula, and solve:

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](8)²(8)

V = [tex]\pi[/tex](64)(8)

V = 1608.5

So, to the nearest tenth, the volume of the cylinder is 1608.5 cm³

What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y=-4/3x-1

Answers

Answer:

[tex]\displaystyle \boxed{y = -1\frac{1}{3}x + 22}[/tex]

Step-by-step explanation:

Parallel Equations have SIMILAR RATE OF CHANGES [SLOPES], so keep [tex]\displaystyle -\frac{4}{3}[/tex]as is and do this:

14 = −4⁄3[6] + b

14 = −8 + b

+ 8 + 8

_________

[tex]\displaystyle 22 = b \\ \\ y = -1\frac{1}{3}x + 22[/tex]

I am joyous to assist you at any time.

Divide a 6 and 3/4 inch line into three parts so that each part is 1/4 inch shorter than the one before it.

Answers

Answer:

Hey there!

x+x+1/4+x+2/4

3x+0.75=6.75

3x=6

x=2

The lines are 2, 2 1/4, and 2 2/4.

Let me know if this helps :)

The three numbers or parts are 2 , 2 1/4 and 2 1/2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be n = 6 3/4

Now , for the number to be divided into three parts where each number is 1/4 shorter than the one before it ,

Let the first divided number be = x

So , the second number will be 1/4 more than the first number

Second number = x + 1/4

And , the third number will be 1/4 more than the second number

Third number = x + 1/4 + 1/4

                       = x + 2/4

                       = x + 1/2

Now, the equation will be

The sum of all three numbers = 6 3/4

So ,

x + ( x + 1/4 ) + ( x + 1/2 ) = 6 3/4

3x + 3/4 = 6 3/4

Subtracting 3/4 on both sides , we get

3x = 6

x = 2

Substituting the values of x in the equation , we get

First number = 2

Second number = 2 1/4

Third number = 2 1/2

Hence , the three numbers or parts are 2 , 2 1/4 and 2 1/2

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ5

7.006 x 10^-3 in standard notation

Answers

Answer:

7.006*10⁻³ = 0.007006

Step-by-step explanation:

7.006*10⁻³ = 0.007006

The average month end closing stock price for Company A over the past year is $34.57 with a standard deviation of $4.65. The average month end closing stock price for Company B over the same period is $26.15 with a standard deviation of $7.45. Based on this data, we can conclude that the stock price for Company A is more consistent when compared to the stock price for Company B.
a) true
b) false

Answers

Answer:

a) true

Step-by-step explanation:

$4.65. >$7.45.

Factor - 3x - 28
ax² + bxtc
Identify the values that should be written to
complete the X diagram.
On the top:
On the bottom:
On the sides
ас
Rewrite the expression using the numbers on the
sides of the X diagram.
Use double grouping to factor the four terms.
x2 – 3x – 28

Answers

x2 – 3x – 28 = (x-7)(x+4)

Answer:

On the top:-28

On the bottom: -3

On the sides: -7 and 4

X2-3x-28=(x-7)(x+4)

Step-by-step explanation: I got it correct on Edge

Find the missing side. PLEASE HELP FAST !

Answers

Answer:

It is 28.5m. Hope this helps!! Have a good day..

State the leading coefficient of -9x^5+3x^2+3-7x+10x^3

Answers

Answer:

-9

Step-by-step explanation:

We need to write the terms from highest power to smallest power

-9x^5+10x^3+3x^2-7x+3

The leading coefficient is the number in front of the highest power

-9

Answer:

-9

Step-by-step explanation:

In a polynomial, the leading coefficient is the coefficient to the variable with the largest exponent.

In this polynomial, the variable with the largest exponent is x^5.

The leading coefficient is the number in front of the variable. In this case, the leading coefficient is -9.

So, the leading coefficient is -9.

s
If point C is between points A and B and AB = 41, AC = 5x, BC = 3x – 7,
what is the value of x?
I NEED HELP ASAP

Answers

Answer:

x=6

Step-by-step explanation:

We know that point C is in the middle of point A and point B.

That means that when these two equations are added they should be equal to the length of AB which is 41.

5x+3x-7=41

add 7 to both sides

8x=48

divide both sides by 8.

x=6

25 POINTS! FIRST TO ANSWER ****CORRECTLY**** GETS BRAINLIEST!

What number should be placed in the box to help complete the division calculation?
Numerical Answers Expected!

Answers

Answer:

The answer to your question is given below.

Step-by-step explanation:

To divide 2635 by 17 using long division method, we simply do the following:

2635 ÷ 17

17 can not go into 2. Therefore, we try 17 into 26, keeping 35 constant.

26 ÷ 17 = 1

Put the 1 on top.

Multiply 17 by 1

17 x 1 = 17

Subtract 17 from 26

26 – 17 = 9

Put the 9 in from of 35 to become 935

Next:

935 ÷ 17

17 can not go into 9. Therefore, we try 17 inot 93 keeping 5 constant.

93 ÷ 17 = 5

Put the 5 on top together with the 1 to become 15.

Multiply 17 by 5

17 x 5 = 85

Subtract 85 from 93

93 – 85 = 8

Put the 8 in front of 5 to become 85

Next:

85 ÷ 17

17 can not go into 8. Therefore, we try 85

85 ÷ 17 = 5

Put the 5 on top together with 15 to become 155

Multiply 17 by 5

17 x 5 = 85

Subtract 85 from 85

85 – 85 = 0

Since no number is remaining, we shall stop here.

Therefore,

2635 ÷ 17 = 155

Please attached photo for further details.

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