Use a net to find the surface area of the cylinder. Use 3.14 for pie

[tex](a+b)^3 -(a-b)^3\\\\=(a+b-a+b)[(a+b)^2 + (a+b)(a-b) +(a-b)^2]\\\\=2b(a^2+b^2+2ab+a^2-b^2 +a^2 +b^2 -2ab)\\\\=2b(3a^2+b^2)[/tex]

Answer:

Step-by-step explanation:

(a + b)³ - (a - b)³ = a³ + 3a²b + 3ab² + b³ - [a³ - 3a²b + 3ab² -b³]

                         = a³ + 3a²b + 3ab² + b³ - a³  + 3a²b - 3ab² + b³

                         = a³ - a³  + 3a²b + 3a²b  + 3ab² - 3ab² + b³ + b³

Here, the underlined terms will be cancelled.

                         = 6a²b + 2b³

                        = 2 * 3 *a²*b  + 2*b³

                        = 2b* (3a² + b²)

At the 8th week Jeremiah will be running 24 miles to train for a race.

Given Data

The rule for finding the mile for the 8th week is

Mile (n) = 6+2(n)

hence for n = 8

Mile (8) = 6+2(8)

Mile (8) = 6+16

Mile (8) = 24 miles

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Answer:

Below

Step-by-step explanation:

The second ( Oval)   (The cross-section of a slanted plane through curved body of the cylinder)

The third (Circle).  ( The cross section of a plane parallel to the base)

The fifth (Rectangle) (The vertical  cross section of a plane through the diameters of the top and bottom of the cylinder.).

The shapes can be used are oval, circle and rectangle.

Geometric shapes are defined as figures closed by a boundary which is made by combining the definite amount of curves, points, and line segments. Each shape has a unique name such as circle, square, triangle, rectangle, etc. In real life, we are surrounded by various basic geometric shapes, like the slice of a pizza is in the shape of a triangle, doors or windows are in the shape of a rectangle, and many more.

In geometry, when an object or a shape is not connected with both ends, it is considered an open geometric shape. When an object or a shape is connected with both ends it is considered a closed geometric shape. There are two types of geometric shapes, classified as:

First, oval can be used as the cross-section of a slanted plane through curved body of the cylinder.

Then, circle (plane parallel to base)

Then, rectangle  the vertical cross section of a plane through diameters.

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Answer:

[tex]5\sqrt{2} +\sqrt{10}[/tex]

Step-by-step explanation:

[tex]\sqrt{5} (\sqrt{10} +\sqrt{2} ) < --Given[/tex]

[tex]\sqrt{5} \sqrt{10} +\sqrt{5} \sqrt{2} < -- Distribute[/tex]

An equation is in its simpliest form when you eliminate as many square roots as possible. Here are some rules:

1.) You cannot combine numbers through addition or subtraction if they are under square roots. However, you can combine numbers through multiplication or division if they are under square roots.

2.) You cannot take the square root of a number if the answer is not a whole number (unless the problem says you can). However, you can solve the square root if the number can be simplfied into a "rootable?" number. In other words, the number under a square root can be divided into a number that can have its square root taken.

The first part...

[tex]\sqrt{5} \sqrt{10} = \sqrt{5} * \sqrt{10} < --Multiply[/tex]

[tex]\sqrt{5} * \sqrt{10} =\sqrt{50}[/tex]    

[tex]\sqrt{50} = \sqrt{25} *\sqrt{2} < --Separate[/tex]

[tex]\sqrt{25} = 5 < --Solve[/tex]

[tex]\sqrt{50} = 5 *\sqrt{2} < -- Substitute[/tex]

[tex]5*\sqrt{2} =5\sqrt{2} < --Rewrite[/tex]

The second part...

[tex]\sqrt{5} \sqrt{2} =\sqrt{5} * \sqrt{2} < -- Multiply[/tex]

[tex]\sqrt{5} *\sqrt{2} = \sqrt{10}[/tex]

Combine both parts...

[tex]5\sqrt{2} +\sqrt{10}[/tex]

The equations that can be used to find the lengths of the legs of the triangle are x^2 + (x+2)^2 = 100, x^2 + 2x - 48 = 0 and 0.5x(x+2) = 24

According to the theorem, the square of the hypotenuse is equal to the sum of the square of other two sides.

From the diagram

hypotenuse = 10ft

Other sides are x and (x+2)ft

According to the theorem:

10^2 = x^2 + (x+2)^2

x^2 + (x+2)^2 = 100

Expand

x^2 + x^2 + 4x + 4 = 100
2x^2 + 4x - 96 = 0
x^2 + 2x - 48 = 0

Divide through by 2

0.5x^2 +x - 24 = 0
0.5x(x+2) = 24

Hence the equations that can be used to find the lengths of the legs of the triangle are x^2 + (x+2)^2 = 100, x^2 + 2x - 48 = 0 and 0.5x(x+2) = 24

Learn moreon Pythagoras theorem here: https://brainly.com/question/18811544

Answer:

1.77

Step-by-step explanation:

.................

Answer:

15 nickels

Step-by-step explanation:

so you know she has 7 dimes so youre starting off at .70

how much money would it take to get from .70 to 1.45?

.75 cents to get from .70 to 1.45 which is 15 nickels

Answer:

0.15n + 0.70 = 1.45

5 nickels

Step-by-step explanation:

Nickel = 5 cents = $0.05

Dime = 10 cents = $0.10

Let n = number of nickels

Let d = number of dimes

Given:

Equation 1:   0.05n + 0.10d = 1.45

Equation 2:   d = n + 7

Substitute Equation 2 into Equation 1 and solve for n:

⇒ 0.05n + 0.10(n + 7) = 1.45

⇒ 0.05n + 0.10n + 0.70 = 1.45

⇒ 0.15n + 0.70 = 1.45

⇒ 0.15n = 0.75

⇒ n = 5

Therefore, Bella had 5 nickels and 12 dimes.

Answer:

[tex]\fbox{(a+b) and (a+b+1) are the factors}[/tex]

Step-by-step explanation:

Given equation = a² + 2ab + b² + a + b

Let's factorise,

We know that,

[tex]{(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

Substituting the above factor in given equation,

[tex] {a}^{2} + 2ab + {b}^{2} + a + b = {(a + b)}^{2} + a + b \\ Taking \: (a+b) \: common \: in \: RHS \\ {a}^{2} + 2ab + {b}^{2} + a + b = (a + b)(a + b + 1) \\[/tex]

[tex]\fbox{(a+b) and (a+b+1) are the factors}[/tex]

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Area of the triangle

Area of rectangle:-

Area of semicircle

Total:-

Answer:

1757 ft²

Step-by-step explanation:

Formulae

Area of a rectangle = width × length

Area of a triangle = 1/2 × base × height

Area of a semicircle = 1/2 πr²

To find the shaded area:

Add the area of the rectangle, the area of the triangle, and the area of the semicircle.

Area of the rectangle:

= 20 x 50

= 1000 ft²

Area of the triangle:

= 1/2 x (10 + 50) x 20

= 1/2 x 60 x 20

= 30 x 20

= 600 ft²

Area of the semicircle:

= 1/2 π(20 ÷ 2)²

= 1/2 · 3.14 · 10²

= 1/2 · 3.14 · 100

= 157 ft²

Shaded area:

= area of rectangle + area of triangle + area of semicircle

= 1000 + 600 + 157

= 1757 ft²

Answer:

You're missing an attachment :)

If you want an answer, I suggest you upload a picture, or provide more information, thank you.

Answer:

the answer is 3.

Step-by-step explanation:

mode if what numberhappens most often

keeping in mind that two dozen cookies is just 24 cookies, then

[tex]\begin{array}{ccll} eggs&cookies\\ \cline{1-2} 3 & 24\\ x& 2 \end{array} \implies \cfrac{3}{x}=\cfrac{24}{2}\implies \cfrac{3}{x}=12\implies 3=12x \\\\\\ \cfrac{3}{12}=x\implies \cfrac{1}{4}=x[/tex]

Answer:

x=2
y=5

Step-by-step explanation:

Since we have an equation that is set equal to why with x in it, we can multiply it by 2 to get 6x-2=2y.

We can then plug that in for 2 +2y in the equation above, giving us 3x+6x-2=16 or 9x-2=16.

From there we add 2 to both sides and get 9x=18.

Then divide both sides by 9 to get x=2.

Then plug x=2 in for the equation below and get 6-1, or 5.

Giving us our answers, x=2 and y=5

Answer:

y = 4x - 17

Step-by-step explanation:

we can use the equation y = mx + b

where m is the slope.

now we want to find the value of b.

so

7 = 24 + b

b= -17

so the answer is

y = 4x -17

Answer:

The answer is 32      

Step-by-step explanation:

9/3=3                                                                                                                                                 6/3=2                                                                                                                                                         32

Answer:

20/9

Step-by-step explanation:

2/1–>20/10 x 10/9

200/90 / 10

20/9

Hope that helps. :)

[tex]2 \div \frac{9}{10} [/tex]

[tex] \frac{2}{1} \div \frac{9}{10} [/tex]

[tex] = \frac{2}{1} \times \frac{10}{9} [/tex]

[tex] = \frac{2 \times 10}{1 \times 9} [/tex]

[tex] = \frac{20}{9} or2 \frac{2}{9} [/tex]

17 weeks and she'll have $5 extra.

Answer:

100

Step-by-step explanation:

You have to find the current average-

73+84+71=228

228/3=76.

228+?=328?

(328=82x4)

328-228=100

Answer:

In order to make a triangle, the sum of 2 sides must be greater than the third side

in number one 2+3=5 so no you can't make a triangle

you can do it likewise ...

Answer: -2.6 , - 0.4, 0, 0.8 , 1.2

Step-by-step explanation:

ascending is smallest to largest

From the extrem left of a.number line to the right

Answer:

-2.6, -0.4, 0, 0.8, 1.2

Step-by-step explanation:

Ascending order is simply the smallest number to the largest number. The smallest numbers in this set are the negative ones, and -2.6 is a smaller value than -0.4.

So far our set looks like the following:

-2.6, -0.4

Next is 0, since 0.8 and 1.2 both come after 0. After 0 would be 0.8, and 1.2 would be the largest number.

Here is the set of numbers in ascending order:

-2.6, -0.4, 0, 0.8, 1.2

Answer:

-31

Step-by-step explanation:

substitute- y-8b = -7-8(3)

8(3)=24

-7- -24=

solve- -31

Answer:

-31

Step-by-step explanation:

Given

binomial: y - 8b

y = - 7

b = 3

Solution

-7 - 8(3)       Substitute 3 in for b and - 7 in for y

-7 - 24         Combine -8 and 3 (which is - 24

-31               Answer. - 31

Answer:

-75 ft

Step-by-step explanation:

Hope this helps! Have a great day!!

Answer:

-75

Step-by-step explanation:

hope this helped.

No explanation really is there to it.

Have a great day! :)

Answer:

500

Step-by-step explanation:

Answer:

11.32

Step-by-step explanation:

Answer:

184

Step-by-step explanation:

in the number 128 the number eight is right it should be to the right then in the number157 one is right it should be to the left in 841 8and 1 are in the wrong position 8 - right 1 - left then in the number 624 the number 4 is right but in the wrong position it should be in the middle the answer is digit 1,8,4

The 3 secret digit numbers are 4, 7, and 8. Then the combination lock with 3 secret digits is 478.

A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

You have a combination lock with 3 secret digits.

362 All digits are wrong then 3, 6, and 2 should not be there.

624 One digit is right but in the wrong place. Then 4 digit is right.

841 Two digits are right but both are in the wrong place. Then the place of 4 should be first.

128 One digit is right and in its place. Then the first place is occupied by 4 so 1 is incorrect. Then the third digit is 8.

157 One digit is right but in the wrong place. Then in the second place, the wrong digit is there then there is 7 in the second place.

The combination lock with 3 secret digits is 478.

More about the permutation and the combination link is given below.

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Answer:

80 degrees

Step-by-step explanation:

To convert radians to degrees, multiply by 180π since a full circle is 360° or 2π radians. Cancel the common factor of π. Factor π π out of 4π 4 π.

hope this helps.

Answer:

A)6 cm B)32 inch

Step-by-step explanation:

A)1 cm:8 inch

(1×6)cm:(8×6)inch

Thus, if the height is 48 inch, the scale in cm is 6 cm

B)Normal linear form

The length=4cm

(1×4) cm:(8×4) inch

Thus, if the scale length is 4 cm, the real painting length will be 32 inch