Karim is painting a design on a cylindrical
barrel. the height of the barrel is 1.2 m.
the radius of its base is 0.3 m. what area
will the paint have to cover? (remember to
include the bottom and lid of the barrel.)

Step-by-step explanation:

a) 5³= 5*5*5 = 125

5/125*100%

4%

b) 5²=5*5=25

25/125*100%

20%

Answer:

x= 2, y= -3

Step-by-step explanation:

Given two equations, we can solve them by either substitution or elimination method. Let's solve by substitution!

x -y= 5

Rewrite this equation such that one of the variable is the subject of formula, so that we can substitute this equation into the second.

x= y +5 -----(1)

3x +y= 3 -----(2)

Substitute (1) into (2):

3(y +5) +y= 3

Expand:

3y +15 +y= 3

4y= 3 -15

4y= -12

y= -12 ÷4

y= -3

Substitute y= -3 into (1):

x= -3 +5

x= 2

Answer:

3. The least value is 3.

4. The greatest value is 14.

5. The third quartile is 11

6. The first quartile is 6

7. The median is 8.

8. The range is 3-14.

Step-by-step explanation:

Answer:

4h - 29

Step-by-step explanation:

[tex](1-25+4h)-5\\=(-24+4h)-5\\=(4h-24)-5\\=4h-24-5\\=4h-29[/tex]

You could also write this solution as [tex]-29+4h[/tex], but I just think [tex]4h-29[/tex] looks nicer :)

Convert angle to radians

So

Area

Answer:

[tex]\textsf{C.} \quad \dfrac{64 \pi}{3} \: \sf square\:centimeters[/tex]

Step-by-step explanation:

Formula

[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

[tex]\textsf{(where r is the radius and the angle }\theta \textsf{ is measured in degrees)}[/tex]

Given:

Substitute the given values into the formula and solve for Area:

[tex]\large \begin{aligned}\implies \textsf{Area} & =\left(\dfrac{120^{\circ}}{360^{\circ}}\right) \pi (8)^2\\\\& =\left(\dfrac{1}{3}\right) \pi (64)\\\\& =\dfrac{64}{3} \pi \: \sf cm^2\end{aligned}[/tex]

Answer:

  1206.4 ft³

Step-by-step explanation:

The volume of the composite figure is the sum of the volumes of its parts. Each part has its own volume formula.

__

The formula for the volume of a cone is ...

  V = 1/3Bh . . . . where B is the area of the base, and h is the height

The formula for the volume of a cylinder is ...

  V = Bh . . . . where B is the area of the base, and h is the height

The formula for the area of a circle is ...

  A = πr² = π(d/2)² = (π/4)d²

Combining the volume formulas for a figure with the same base area, we have ...

  V = B(cylinder height) + 1/3B(cone height)

  V = B(cylinder height + 1/3×cone height) . . . . where B is the base area

Using 16 ft for the diameter, and 4 ft and 6 ft for the heights of the cylinder and cone, respectively, we have ...

  V = (π/4)(16 ft)²(4 ft + 1/3×6 ft) = 64π(4 +2) ft³ = 384π ft³

The volume is about ...

  384π ft³ ≈ 1206.4 ft³

Answer:

864 ft3

Step-by-step explanation:

length = 12 ft

width = 8 ft

depth = 9 ft

Volume = ? = length * width * depth

Answer:

26

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: [tex]15x(2x^2+x+3)[/tex]

Step-by-step explanation:

[tex](30x^3 + 15x^2 + 45x)[/tex]

1. factor out 15x

[tex]15x(2x^2+x+3)[/tex]

Answer:

(x−9)²+(y−[tex]\frac{17}{2}[/tex])²=[tex]\frac{441}{4}[/tex]

Step-by-step explanation:

The height of the shipping box in the shape of a rectangular prism is 15 inches

The given parameters are:

Volume = 9000 cubic inches

Base dimensions = 20 inches by 30 inches

The height of the prism is then calculated using:

Height = Volume/Base Area

So, we have:

Height = 9000/(20 * 30)

Evaluate

Height = 15

Hence, the height of the shipping box in the shape of a rectangular prism is 15 inches

Read more about volume at:

https://brainly.com/question/1972490

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Answer:

Nothing provided

Step-by-step explanation:

Answer:

we can use division to solve real life problem such as: how much candy each of 5 students will receive if 20 candy are shared equally

Step-by-step explanation:

cause 20/5 = 4

Answer:

14

Step-by-step explanation:

4x + 2x + 6 = 90

6x + 6 = 90

6x = 84

x = 14

Answer:

21,526 people

Step-by-step explanation:

Answer:

What shapes?!?! I can help you if you add an image of the shapes :)

Step-by-step explanation:

Answer:

Small box = 9 Large box = 27

Step-by-step explanation:

135 divided by 5 = 27. 27 divided by 3 = 9

Repeat same process for second half of the equation.

Answer:

See below ~

Step-by-step explanation:

Kindly note the 2nd equation in the above question formed will be :

2x + 4y = 20

The plotted graph is correct and it shows that the intersection of the lines (the solution) is at (2, 6), which means :

Answer:

D

Step-by-step explanation:

4 x 8 = 32

4 x 16 = 64

4 x  32 = 128

4 x 64 = 256

They can be multiplied by something and 4

If the radius of the semi-circle is 38 m. Then the area of the training field will be 11,908.459 square meters.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97 m long and 76 m wide.

Then the radius of the semi-circle will be

2r = 76

 r = 38 m

Then the area of the training field will be

Area = area of rectangle + 2 x area of semi-circle

Area = 97 x 76 + 2 x (1/2) x π x 38²

Area = 7372 + 4536.459

Area = 11908.459 square m

More about the geometry link is given below.

https://brainly.com/question/7558603

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Based on the numbers that Malik can pick and the condition of the sum being less than 5, the probability of this happening is 2/9.

The first number that Malik picked is an odd number less than 5 which makes it with 1 or 3.

In order for the two number to be less than 5 when added, the numbers to be picked have to be:

These are 4 possibilities out of a total of 18 possibilities so the probability is:

= 4 / 18

= 2 / 9

Find out more on probabilities and picking numbers at https://brainly.com/question/251701.

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Answer:

See image

Step-by-step explanation:

Plato

[tex]4+1.8x=8+0.8x\\\\4+1.0x=8\\\\1.0x=4\\\\x=4\\[/tex]

the answer is x = 4.

Answer:

Largest angle is "B" and smallest angle is "A".

Step-by-step explanation:

Given ∆ABC

AB = 10 cm , BC = 8 cm , AC = 15 cm

Angle opposite to side AB is "C"

Angle opposite to side BC is "A"

Angle opposite to side AC is "B"

we know that the angle opposite to largest side is largest angle and smallest side is smallest angle.

Here,∆ABC largest side is AC and smallest side is BC.

Hence,largest angle is "B" and smallest angle is "A".

Answer:

C) 117 Feet

Step-by-step explanation:

The question is ultimately asking for the hypotenuse of the rectangle. We can calculate that with a^2 + b^2 = c^2.

100^2+60^2=c^2

10000+3600=c^2

c^2=13600

c=116.6190379

Round --> 117

Thus the answer, C).

Answer:

x  = 6.2

Step-by-step explanation:

let ‘x’ denotes the weight of a smaller dog.

“1.2″ + x” be the weight of the larger dog

combined weight = 13.6

smaller dog weight =

x+x+1.2 = 13.6

2x + 1.2 = 13.6

2x = 13.6–1.2

2x = 12.4

x = 12.4/2

x = 6.2 pounds.

Hope you understood it, Happy Learning.