A juice can is 16 cm tall and has a diameter of 9 cm. The ends of the can are tin and the body is cardboard.

a) What is the volume of the can?

b) What area of tin is used?

c) What area of cardboard is used?

d) What is the total surface area?

Answers

Answer 1

Answer:

I'll setup the problem and you can do the calculations

Step-by-step explanation:

a.

[tex]V = \pi( {D}^{2} \div 4)H[/tex]

V = volume; D = diameter; H = height of can

b.

Area of the Tin is the total area of the 2 Tin circles

one circle's area A is

[tex]A = \pi {D}^{2} \div 4[/tex]

A = area; D = diameter

calculate A

Then multiply by 2

c.

The area of the cardboard is the circumstance of the circle

times the height

[tex]SA = \pi DH[/tex]

d.

add answers from b and c


Related Questions

Wayne is mixing paint. He makes six quarts of brown paint by mixing equal quantities of yellow paint and violet paint. The violet paint is made from one-third red paint and two-thirds blue paint.
1.What percentage of the brown paint is made from red paint? ( Hint: use the ratio table and convert the fraction to percentage) Explain how you figure out

2.Wayne decides to make 12 quarts of brown paint by using the same formula as above. Will the percentage of brown paint that is made from blue paint change or stay the same? Explain your answer. (Hint: proportional table. Will the ratio/percentage of the paint change with the increase in the amount of paint used?)

Answers

Answer:

Step-by-step explanation:

2/6=33.33

What is the range of the following data?
10 20 30 40 50 60 70 80 90 100
50
20
70
60

Answers

the range is 70
explanation: the range is calculated by subtracting the lowest value from the highest value

how long is it. from 13:49 to 14:22​

Answers

Answer:

33 minutes

Step-by-step explanation:

Answer:

33 minutes

Step-by-step explanation:

To go from 13:49 to 14:00, that is 11 minutes

To go from 14:00 to 14:22 is 22 minutes

22 + 11 = 33

Hope this helps!

5x raised to 3+4 x raised to 2 - 6​

Answers

Answer:

[tex]125x^3 + 16x^2 -6[/tex]

Step-by-step explanation:

Given :

5x raised to 3 , that is =

                             [tex](5x)^3 = 5^3 \times x^3 = 125 x^3[/tex]

4x raised to 2 , that is =

                             [tex](4x)^2 = 4^2 \times x^2 = 16 x^2[/tex]  

Final step : (5x raised to 3) + ( 4x raised to 2) - 6, that is =

                                                                                [tex](5x)^3 +(4x)^2 - 6 \\\\=125x^3 + 16x^2 -6[/tex]

Evaluate y⁵ for y = 1.

● 1
● 5
● 15​

Answers

Answer:

1

Step-by-step explanation:

if y = 1 then [tex]y^{5} = 1 . 1 . 1. 1.1 = 1[/tex]

Answer: 1

Step-by-step explanation:

its just 1 because you just multiplied 1 by1 5 times

Find the total surface area of the rectangular prism in square millimeters. 2cm 6 cm 9cm

Answers

Answer:  168 square cm

==============================================

Work Shown:

L = 2 = lengthW = 6 = widthH = 9 = height

The order of length, width and height doesn't matter

SA = surface area of rectangular prism

SA = 2*(LW + LH + WH)

SA = 2*(2*6 + 2*9 + 6*9)

SA = 2*(12 + 18 + 54)

SA = 2*(30+54)

SA = 2*(84)

SA = 168 square cm

Jaira is volunteering to stack 12 boxes of soup cans at a community food bank. She stacks the boxes to form a right rectangular prism. Describe or show 2 different ways that Jaira could have arranged her boxes to still make a rectangular prism.

Example: 6 boxes long, 1 box wide, and 2 boxes high ( 6 x 1 x 2 = 12 boxes )
A second way is: 4 boxes, ? , ? 4 x ? x ? = 12 boxes
A third way is: ? ? x ? x ? = ? boxes
2. Would you measure the space these boxes’ shape take up the same way you counted the area that the rug covered on the floor? Explain.

Answers

Answer:

6 boxes wide

6 boxes wide

or 2high 2high 2high 2high 2high 2high

Step-by-step explanation:

6 wide and 6 wide to make 12. 6x2=12

2 high ×6 2×6=12

Find the values of x and y
X=
Y=

Answers

Answer:

x = 7

y = 4

Step-by-step explanation:

y + 12 = 3x - 5

5y - 4 = 3x - 5

So y + 12 = 5y - x

To solve the equation above, y =4

Sub y = 4,

x = 7

Solve the right triangle round your answer to the nearest tenth

Answers

Answer:

14

Step-by-step explanation:

You add 50 and 26 together to get 76, then you subtract 90 and 76 to get 14

What is the slope of the line represented by the equation y = - 글 x + 끝?
O O
No all ele we
0

Answers

Given:

Consider the given equation is:

[tex]y=-\dfrac{7}{2}x+\dfrac{11}{3}[/tex]

To find:

The slope of the line that is represented by the given equation.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]                                      ...(i)

Where, m is the slope and b is y-intercept.

We have,

[tex]y=-\dfrac{7}{2}x+\dfrac{11}{3}[/tex]           ...(ii)

On comparing (i) and (ii), we get

[tex]m=-\dfrac{7}{2}[/tex]

Therefore, the slope of the given equation is [tex]-\dfrac{7}{2}[/tex].

write an equation to show the relationship between a and c when a = b + 9 b = c - 2​

Answers

Given:

The equations are:

[tex]a=b+9[/tex]

[tex]b=c-2[/tex]

To find:

The equation that show the relationship between a and c.

Solution:

We have,

[tex]a=b+9[/tex]               ...(i)

[tex]b=c-2[/tex]               ...(ii)

Equation (i) can be rewritten as:

[tex]a-9=b[/tex]              ...(iii)

From (ii) and (iii), we get

[tex]a-9=c-2[/tex]

[tex]a-c=9-2[/tex]

[tex]a-c=7[/tex]

Therefore, the required equation is [tex]a-c=7[/tex].

Please help, I will really appreciate all your help please :(

Answers

Answer:

should be y=-2/1x+2

Step-by-step explanation:

because the slope is going down 2 over 1 and the y-intercept is at positive 2

a meat pie contains chicken and turkey in the ratio 4:1. The pie contains 200g of Chicken. How much turkey is in the pie?​

Answers

Answer:

50 grams

Step-by-step explanation:

From the above question:

Chicken : Turkey

= 4:1

Sum Proportions = 4 + 1 = 5

We have to find the weight in grams of the entire pie

Let us represent the weight in grams of the entire pie = x.

The pie contains 200g of Chicken.

Hence:

4/5 × x = 200g

4x/5 = 200g

Cross Multiply

4x = 200g × 5

x = 200g × 5/4

x = 250g

The amount turkey that is in the pie is calculated as:

Total weight of pie - Amount of Chicken in the pie

= 250g - 200g

= 50 g

five decimals between 0.42 and 0.44

Answers

Answer: 0.421, 0.422, 0.423, 0.43, 0.434

Step-by-step explanation:

Find the exact value, without a
calculator
711/6
sin
2

tan
12
711/6
COS
2
? ] + [
- √

Answers

Answer:

The answer to calculate this will be:

5

π

6

The required value of tan(7π/12) = √[(2+√3)/(2-√3)].

To find the exact value of tan(7π/12).

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.

[tex]tanx =\sqrt{ \frac{1 -cos2x}{1 + cos2x} }[/tex]

tan(7π/12) = √ [ (1 - cos2(7π/12) ) / (1 + cos2(7π/12) ]
                 =  √ [ (1 - cos(7π/6) ) / (1 + cos(7π/6) ]

                  =  √ [ (1 - cos(π + π/6) ) / (1 + cos(π + π/6) ]
Since cos(π + x) = -cosx
                 =  √ [ (1 + cos(π/6) ) / (1 - cos(π/6) ]

Here, cos( π/6 ) = √3/2
                  =  √ [ (1 + √3/2 ) / (1 - √3/2 ]
                 =  √ [ (2 + √3)/2  / (2- √3)/2 ]
                 = √ [ (2 + √3) / (2- √3) ]


Thus, the required value of tan (7π/12) = √ [ (2+√3)/(2-√3) ].

Learn more about trigonometry equations here:

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What is the volume of this cylinder?

??

Answers

Answer:

197.92

Step-by-step explanation:

pretty simple not hard bub

Which equation would show the original function y = f(x) shrunk by a factor of 1/5, reflected
across the x-axis, translated 3 units left and 4 units down?
A. y = -1/5 f(x – 3) - 4
B. y = 1/5 f(x – 3) - 4
C. y = 5 f(x - 3) + 4
D. y = -1/5 f(x + 3) – 4

Answers

Answer:

B, I don't remember the reasoning but I know that's the answer

Write a recursive rule for the sequence.
5. – 20, 80, 320, 1280,

Answers

Step-by-step explanation:

the answer is in the image above

La Sra. Conley le pregunta a su clase qué tipo de fiesta quieren tener para celebrar su comportamiento ejemplar. De todos los estudiantes en la clase, 5 quieren una fiesta de helado, 7 quieren una fiesta de películas, 10 quieren una fiesta de disfraces y los demás están indecisos. Si el20%, quiere una fiesta de helado, ¿cuántos estudiantes hay en la clase?

Answers

Answer:

En la clase hay 25 alumnos.

Step-by-step explanation:

La regla de tres es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y una incógnita, estableciendo una relación de proporcionalidad entre todos ellos.

De todos los estudiantes en la clase, 5 quieren una fiesta de helado. Sabiendo que el 20% de los estudiantes de la clase quiere una fiesta de helado, se puede aplicar la regla de tres: si el 20% de los estudiantes de la clase son 5 estudiantes, el 100% (totalidad de los alumnos) cuántos alumnos son?

[tex]totalidad de los alumnos=\frac{100*5}{20}[/tex]

totalidad de los alumnos= 25

En la clase hay 25 alumnos.

The endpoints of are A(2, 3) and B(8, 1). The perpendicular bisector of is , and point C lies on . The length of is units. The coordinates of point C are . The slope of is . The possible coordinates of point D are and .

Answers

Answer:

The Coordinates of Point C are C(5,2)

The slope of CD is 3  

The possible coordinates of point D(a,b) are (6, 5) and (4, -1)  

Step-by-step explanation:

According to the Question,

Given, The end points of AB are A(2,3) and B(8,1). The perpendicular Bisector of AB is CD, and point C lies on AB. The length of the CD is √10 units.

Now, Let The Coordinates of Point C are C( x , y ) .  

Thus, C( x , y ) = ((8 +2) / 2 , ( 1 + 3 )/ 2 ) ⇒ (10/2 , 4/2) ⇒ (5 , 2)

The Coordinates of Point C are C( x , y ) ⇒C(5, 2).  

And, The slope of AB = (1 - 3)/(8 - 2) ⇒ -2/6 ⇔ -1/3 .

      Thus, The slope of CD is  -1/(The slope of AB) =  -1/(-1/3) ⇔  3.

Let the coordinate of D be (a, b) then

⇒ √{ (b - 2)² +(a - 5)² } = √10

 on squaring both sides we get,

 ⇒ a² - 10a + 25 + b² - 4b + 4 = 10

 ⇒ a² + b² - 10a - 4b = - 19 ⇔⇔ (Equation 1)  

We Know, the slope of CD = 3

⇒Thus,  (b - 2)/(a - 5) = 3

⇒ b - 2 = 3a - 15

⇒ b = 3a - 13 ⇔⇔ (Equation 2)

Putting value of Equation 2 into Equation 1, We get

⇒a² + (3a - 13)² - 10a - 4(3a - 13) = - 19

⇒a² + 9a² - 78a + 169 - 10a - 12a + 52 = - 19

⇒10a² - 100a + 240 = 0

⇒a² - 10a + 24 = 0

⇒(a - 4)(a - 6) = 0

⇒a = 4 or a = 6

Now,  

When a = 4 , b = 3(4) - 13 ⇒ 12 - 13 ⇒ b = -1

When a = 6, b = 3(6) - 13 ⇒ 18 - 13 ⇒ b = 5

Therefore, the possible coordinates of point D(a,b) are (6, 5) and (4, -1).

Answer:

The answer above is 100% correct

Step-by-step explanation:

I got 100 on my quiz.

Plss help me with this equation

Answers

Answer:

x = 110 degree

Step-by-step explanation:

Hope this helps u !!

Math help please show work I will mark Brainlist if correct

Answers

Answer:

Step-by-step explanation:

(2). 1 yd ≈ 0.9144 m

1 yd³ ≈ 0.76455 m³

2 yd³ ≈ 1.53 m³ ≈ 2 m³

(3). 1 ft ≈ 0.3048 m

1 ft² ≈ 0.0929 m²

162 ft² ≈ 15.1 m²

(4). 1 mi ≈ 1.60934 km

1 mi² ≈ 2.59 km²

503 mi² ≈ 1302.8 km²

What is the volume of the plastic rocket???

Answers

Answer:

A) 151 in³ or 151 cubic inches

Step-by-step explanation:

Volume of rocket = Volume of Cylinder + Volume of Cone

Step 1

Find the volume of the cylinder

Volume of a cylinder = πr²h

r = Diameter/2

= 5/2 = 2.5 inches

h = 6 inches

Hence,

π × 2.5² × 6

= 117.81 cubic inches

Step 2

Find the volume of the cone

Volume of a cone =1/3 πr²h

h = 11 inches - 6 inches

= 5 inches

r = 2.5 inches

Hence,

1/3 × π × 2.5² × 5

= 32.72 cubic inches

Therefore:

Volume of rocket = Volume of Cylinder + Volume of Cone

= 117.81 cubic inches + 32.72 cubic inches

= 150.53 cubic inches

Approximately to the nearest inch = 151 in³ or 151 cubic inches

Option A is correct

1) Paul is buying stock to add
to his portfolio. The cost of the
stock is $60 per share. The
broker that he's buying from
also charges a processing fee
of $100.

Answers

Is there more to this question?

cant figure this one out! will mark brainliest. also don’t have to show work if you don’t want to, i just need the answer

Answers

Answer:

a = -24

Step-by-step explanation:

a / -3 - 2 = 6

a/-3 = 8

a = -3 * 8

a = -24

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: a= -24

a/-3- 2=6

      +2   +2

a/-3=8

   *3  *3

a= -24

Can someone find this angle?

Answers

Answer:

Step-by-step explanation:

Sum of angles of a triangle = 180

d+ 2d + 60 = 180

3d = 180 - 60

3d = 120

d = 40

The angles are 40, 80, 60


The blueprint of a deck has a scale of 2 centimeters equals 9 feet. The scale drawing is shown below

I have part A I need help with b




Part B
Decking costs $1.75 per square foot. How much will it cost to build the deck?

Answers

Complete question is;

The blueprint of a deck has a scale of 2 centimeters equals 9 feet.

A) What are the actual lengths of the sides of the deck?

B) Decking costs $1.75 per square foot. How much will it cost to build the deck?

Answer:

A) actual lengths are;

27 ft, 36 ft and 45 ft

B) cost of entire deck = $850.5

Step-by-step explanation:

A) From the attached image, we see that the sides of the triangle deck are;

8cm, 10cm and 6 cm

Now, we know that 2cm represents 9 ft.

Thus;

8cm will be; 8 × 9/2 = 36 ft

10 cm will be; 10 × 9/2 = 45 ft

6 cm will be; 6 × 9/2 = 27 ft

Thus, actual lengths are;

27 ft, 36 ft and 45 ft

B) Area of deck is Area of triangle = ½ × base × height.

In this diagram, base = 6 cm = 27ft

Height = 8 cm = 36 ft

Thus;

Area of deck = ½ × 27 × 36

Area of deck = 486 ft²

We are told that the Decking costs $1.75 per ft²

Thus;

Cost of entire deck = 1.75 × 486 = $850.5

Solve the equation f(x)=x^3-x^2-x+1 given that one of its roots is x=1

Answers

Answer:

0

Step-by-step explanation:

F(1) = 1^3-1^2-1+1

F(1)=-1+1

F(1)=0

f(x)=x^3-x^2-x+1

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

f(1)=-1+1

f(1)=2

What is a function?

A function of an expression, rule, or law that defines the relationship between one variable (independent variable) and another (dependent variable) in mathematics. Functions are ubiquitous in mathematics and are essential for the formulation of physical relationships in the natural sciences.

Functions can be defined as a set of ordered pairs. Example: {(2,4), (3,5), (7, 3)} is a function that says. "2 is associated with 4," "3 is associated with 5," and "7 is associated with 3." Also note that the domain is {2,3,7} (input value). A

function is defined as a relationship between a set of inputs, each with an output. Simply put, a function is a relationship between inputs, where each input is associated with one output. Each function has a domain and a codomain or scope.

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Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?

5n – 300 = 1,500
5n + 300 = 1,500
5n – 200 + 100n = 1,500
5n – 100 – 200n = 1,500

Answers

Answer:

The first one, A

Step-by-step explanation:

DJ costs $300 in total.

For every student there is $5.

We want a profit of 1,500, so the total money earned from students attending subtracted by the costs of the DJ should be 1,500.

5n - 300 = 1,500

For the second one, it'll be the DJ giving you $300.

The last Two answers has an n where it's supposed to be money when n represents each student.

Answer:

it would be A

Step-by-step explanation: MUHAMMADO AVDOLLLLLL

5 in
5 in
4 in
6 in
Surface Area =

Answers

Answer:

The Surface area is 148

Step-by-step explanation:

For the front and back each side is 30 since 6x5=30. Therefore total 60

For the left and right it is 5x4=20. Each side 20 therefore total 40

For top and bottom it is 6x4=24. 24x2 =48 so total 48.

In total combined: 40+60+48=148

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