Please help (thanks)
A. 6
B. 7
C. 8
D. 9

Final answer:

The volume of the cylindrical oil drum is 9.426 cubic feet.

Explanation:

The volume of a cylindrical oil drum can be calculated using the formula V = πr²h, where r is the radius of the drum and h is the height. In this case, the diameter of the drum is given as 2 feet, so the radius is 1 foot (since the radius is half the diameter). The height of the drum is given as 3 feet. Therefore, the volume of the oil drum can be calculated as follows:

V = 3.142 × (1 foot)² × 3 feet

Calculating this, we get:

V = 3.142 × 1 foot × 1 foot × 3 feet = 9.426 cubic feet

So, the volume of the oil drum is 9.426 cubic feet.

Thus, the correct rule that represents the dilation applied to trapezoid ABCD to create A'B'C'D' is:

C. [tex]\( (x, y) \to (2x, 2y) \)[/tex]

The image shows a trapezoid ABCD that has been dilated to form a trapezoid A'B'C'D'. We need to determine which rule represents the dilation applied to trapezoid ABCD to create A'B'C'D'.

To find the rule, we can follow these steps:

1. Choose a Corresponding Point: Pick a point from the original figure and its corresponding point in the dilated figure.

2. Calculate Scale Factor: Determine the scale factor by comparing the distances of the chosen points from the origin.

3. Formulate the Rule: The rule for dilation with respect to the origin is given by [tex]\( (x, y) \to (kx, ky) \)[/tex], where [tex]\( k \)[/tex] is the scale factor.

Looking at the grid in the image:

- Point B has coordinates (-2, -3).

- Point B' has coordinates (-4, -6).

The coordinates of B' are exactly double those of B, indicating that every coordinate is scaled by a factor of 2. This fits the dilation rule of [tex]\( (x, y) \to (2x, 2y) \).[/tex]

Thus, the correct rule that represents the dilation applied to trapezoid ABCD to create A'B'C'D' is:

C. [tex]\( (x, y) \to (2x, 2y) \)[/tex]

This means the rule for the dilation is to multiply both the x and y coordinates by 2, which is the scale factor for the dilation.

Answer:

B: (9, 1)

Step-by-step explanation:

The mid point is (5, 3).  Compare the x and y values to point A: (1,5)  

We can see that the 'x' coordinate is 4 units higher than point A, so the x value for point B will be 4 points higher than the x value of the mid point.  

             5 + 4 = 9

We can see that the 'y' coordinate is 2 units less than point A, so the y value for point B will be 2 points less than the y value of the  mid point.  

            3 - 2 = 1

Answer:

B coordinate is  ( 9 ,1).

Step-by-step explanation:

Given  : The midpoint of segment AB is (5, 3). The coordinates of point A are (1, 5).

To find : Find the coordinates of point B.

Solution : We have given

Midpoint of segment AB = (5, 3).

The coordinates of point A =  (1, 5).

Mid point : [tex]\frac{(x_{1}+x_{2}}{2} ,\frac{(y_{1}+y_{2}}{2})[/tex].

On plugging the values.

(5,3) = [tex]+\frac{1+x_{2}}{2} ,\frac{(5+y_{2}}{2})[/tex].

Now on comparing x coordinates

[tex](\frac{(1+x_{2}}{2})[/tex] = 5

On multiplying both number by 2

1 +[tex]x_{2}[/tex] = 10.

On subtracting both sides by 1.

[tex]x_{2}[/tex] = 9

Now on comparing y coordinates

[tex]\frac{(5+y_{2}}{2})[/tex] = 3

On multiplying both number by 2

5 +[tex]y_{2}[/tex] = 6

On subtracting both sides by 5.

[tex]y_{2}[/tex] = 1

Then B coordinate is  ( 9 ,1).

Therefore,  B coordinate is  ( 9 ,1).

Therefore, B coordinate is  ( 9 ,1).

Answer:

0,2,4,6

Step-by-step explanation:

This sequence is arithmetic because the same number is being added each time: 2. With the others, the number being added changes every time.

ANSWER

[tex]0,2,4,6,8,...[/tex]

EXPLANATION

An arithmetic has a constant difference .

We check to see which of the given sequences has a constant difference.

0,2,4,6,8,... has a constant difference of

[tex]d=2-0=4-2=6-4=8-6=2[/tex]

hence it is an arithmetic sequence.

1,2,4,8,... is not an arithmetic sequence because there is no constant difference.

[tex]2-1 \ne4-2.[/tex]

1,4,8,13,... is also not an arithmetic sequence because there no constant difference.

[tex]4 - 1 \ne8 - 4[/tex]

The first option is correct.

Answer:

(4,-6)

Step-by-step explanation:

4x+y = 10

We know y = -6

Substitute it in

4x -6 = 10

Add 6 to each side

4x-6+6 = 10+6

4x =16

Divide by 4

4x/4 = 16/4

x =4

The use of gunpowder. Specifically military use, this helped fight wars and win wars because they were able to use the gunpowder. (Not 100% sure)

One important invention that was created in the Song dynasty was the invention of paper money.

Before paper money, people in China used metal and stone coins, which were bulky and could get really heavy at times. However, the paper money made it much easier to carry currency over long distances for trading without the large weight that metal coins had.

This invention affects the whole world today, as many countries have adopted the concept of paper money and still use it. Let me know if you need any clarifications or extra info, thanks!

~ Padoru

Answer:

yes

Step-by-step explanation:

the correct answer is 2 after rounding it off to the nearest number

Answer:

-a+5b

Step-by-step explanation:

(-2)x(2a-b)+3(a+b)

Multiply

Remove Parenthesis

-2(2a-b)+3a+3b

Multiply parenthesis by -2

-4a+2b+3a+3b

collect like terms

-a+5b

Answer:

1/6

Step-by-step explanation:

2/12 simplified is 1/6

Answer:

1/6

Step-by-step explanation:

The fraction is the colored parts over the total number of parts

colored        2

----------- = -----------

total              12

This can be simplified by dividing the top and bottom by 2

2/2 =1

12/2 = 6

The fraction becomes 1/6

Answer:

Area = 3.897

Step-by-step explanation:

Remark

What you are subtly being told is the side of an equalateral triangle = P/n.

n = the number of sides

n = 3

P = 9

side = 9/3 = 3

The area of an equalateral triangle given 1 side is

Area = sqr(3)  * s^2  /4  

Area = 3.897

The answers might be B and C.

Answer:

B and C

Step-by-step explanation:

B has 4 equal parts easy. C is a more reasonable answer because a has NO equal parts.

The answer is A) 71 R12

The answer would be A) 71 R12

Answer:

1512 cm³

Step-by-step explanation:

l of larger block 2x bigger than smaller 1

= 2 × 9

= 18 cm

The breadth of the larger block is 2x bigger than the breadth for smaller 1

= 2 × 3

= 6 cm

Height of larger block is two times bigger than the smaller block

= 2 × 7

= 14 cm

Formula:

= 18 × 6 × 14

= 1512 cm³

Tada! :)

Answer:

[tex]\boxed{\bold{\frac{m^2}{\left(m+n\right)\left(m-n\right)}}}[/tex]

Step-by-step explanation:

Factor [tex]\bold{m^2-n^2}[/tex]

[tex]\bold{\left(m+n\right)\left(m-n\right)}[/tex]

Rewrite Equation

[tex]\bold{\frac{m^2}{\left(m+n\right)\left(m-n\right)}}[/tex]

Answer:

[tex]\frac{m^2}{(m+n)(m-n)}[/tex]

Step-by-step explanation:

Here we have to simplify the denominator of the expression given in the question.

We will use the formula for

Difference of the squares which us given as under

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

Let us now simplify the denominator

[tex]m^2-n^2=(m+n)(m-n)[/tex]

Hence

Our answer is

[tex]\frac{m^2}{(m+n)(m-n)}[/tex]

18-12.7, 5.3 centimeters have been used

Answer- 5.3 cm

Step-by-step explanation:

18-12.7

Answer:

x is the price of the meal

(1+0.0825 + 0.18) is the total percentage on top of the price he pays with sales tax and tip.

Step-by-step explanation:

The factor x is the price of the meal. The factor (1 + 0.0825 + 0.18) is the 100% of the price, the sales tax on that price and the tip on the total. 1 + 0.0825 + 0.18 = 1.2625 is the total percentage he pays on the price. He pays 26.25% in addition of the price of the meal to cover tax and tip.

1.  cos (angle) = adjacent leg / hypotenuse

cos(50) = 10/X

x = 10/cos(50)

x = 15.6 feet  

2.

tan(angle) = Opposite leg / adjacent leg

tan(5.5) = 600/x

x = 600/tan(5.5)

x = 6,231.2 feet.

Ann sent a total of 21 texts.

Jim sent a total of 31 texts.

Miguel sent a total of 63 texts.

Answer:

Area = 52 cm2

Step-by-step explanation:

First you have to extend the line. It gave you two rectangles.

To find out the area you have to add this two surfaces.

A1 = 2*10 = 20

A2 = 8*4 = 32

Whole area = A1 + A2 = 20 + 32 = 52 square cm.

You can do this other way around and you get the same answer.

First you have to extend the line. It gave you two rectangles.

To find out the area you have to add this two surfaces.

A1 = 4*10 = 40

A2 = 2*6 = 12

Whole area = A1 + A2 = 40 + 12 = 52 square cm.

Answer:1/4

Step-by-step explanation:

- Divide the numerator and the denominator by 625

- Divide the numbers

- YOUR FINAL ANSWER

Hope I was able to satisfy your needs

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]\frac{625}{2500}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{125}{500}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{25}{100}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{5}{20}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{1}{4}[/tex]

or

divide [tex]\frac{625}{2500}[/tex] by 625 numerator and denominator and get the same answer, [tex]\frac{1}{4}[/tex]

the slash[ / ]means to divide

plz give a brainliestttt

Yes the graph is a parabola

In mathematics, a parabola is a plane curve that is mirror-symmetrical and is approximately U-shaped. The trajectory of a projectile always shows parabolic path. The shape of car headlights, mirrors in reflecting telescopes and television and radio antennae are examples of the applications of parabolas.

Answer:

x = 1

Step-by-step explanation:

distribute parenthesis on left side and simplify

4x - 2x + 6 = 8

2x + 6 = 8 ( subtract 6 from both sides )

2x = 2 ( divide both sides by 2 )

x = 1

Answer:

The estimated area is [tex]416\frac{13}{16}\ ft^{2}[/tex]

Step-by-step explanation:

we know that

To estimate the area that Ivan will paint , calculate the area of one wall and then multiply by 3

step 1

Convert the dimensions to an improper fractions

[tex]9\frac{3}{4}\ ft=\frac{9*4+3}{4}=\frac{39}{4}\ ft[/tex]

[tex]14\frac{1}{4}\ ft=\frac{14*4+1}{4}=\frac{57}{4}\ ft[/tex]

step 2

Find the area of one wall

[tex](\frac{39}{4})*(\frac{57}{4})=\frac{2,223}{16}\ ft^{2}[/tex]

step 3

Multiply the area of one wall by 3

[tex](3)*\frac{2,223}{16}=\frac{6,669}{16}\ ft^{2}[/tex]

step 4

Convert to mixed number

[tex]\frac{6,669}{16}=\frac{6,656}{16}+\frac{13}{16}=416\frac{13}{16}\ ft^{2}[/tex]

Answer: 3(10 x 14)

Step-by-step explanation: it said in the question or it's more like a hint: "Ivan needs to estimate the total area" and "estimated area in square feet that Ivan will paint?" those are hints to multiple then numbers kinda like adding but adding more into it.

Sorry if it didn't make sense but 3(10 x 14) is what I got in my information which I had written on a paper to figure out what the answer was to the question!

Have a wonderful day! God loves you.

Answe

255=222-22209/33

=6868

The lateral surface area of the prism with dimensions 4 ft, 3 ft, and 1.5 ft is 21 square feet.

To find the lateral surface area of a prism, you need to add the areas of all the lateral faces of the prism.

For a rectangular prism, the lateral surface area can be calculated by finding the perimeter of the base and multiplying it by the height of the prism.

In this case, with dimensions of 4 ft, 3 ft, and 1.5 ft for the rectangular prism:

Calculate the perimeter of the base: Perimeter = 2(length + width)

Perimeter = 2(4 ft + 3 ft) = 2(7 ft) = 14 ft

Then, multiply the perimeter by the height of the prism to get the lateral surface area:

Lateral Surface Area = Perimeter x Height

Lateral Surface Area = 14 ft x 1.5 ft = 21 square feet

The complete question is: Find the lateral surface area of the prism

1.y varies directly with x

2.substitute the value of x and y in the equation below

y=kx

where k is the constant term

60=20k

k=60\20

k=30

:y=30x.....is the law

To find y when x is 12

You reinstate the law which is y=30x

Then substitutes the value of x to determine y

y=30*12

y=36.

Answer:

117π or 367.56634047

Step-by-step explanation:

Volume = π × r² × h          (r=radius and h=height)

Volume = π × 4² × 13

Volume = π × 9 × 13

Volume = π × 117

Volume = 117π

Answer:

$325

Step-by-step explanation:

Time-share = $10 500

On first $10 000 ,

Commission at 3 % = 0.03 × 10 000 = $300

On remaining $500,

Commission at 5 % = 0.05 ×      500 =    25

                             Total commission = $325

Frank made $325 selling the time-share.

Answer:  G

Step-by-step explanation:

(x, y) → ([tex]\frac{1}{8}x[/tex], [tex]\frac{1}{8}y[/tex])

means that the new quadrilateral will be [tex]\frac{1}{8}[/tex] the size of the original quadrilateral, so it will be smaller because the it maps to a fraction that is less than 1.

Answer:

The nth term is [tex]a_n=4n-21[/tex]

Step-by-step explanation:

The given arithmetic sequence is -17, -13, -9, -5, ...

The first term of this sequence is [tex]a_1=-17[/tex].

The common difference can be found using any two consecutive terms.

The common difference is [tex]d=-5--9=4[/tex]

The nth term of arithmetic sequence is given by the formula:

[tex]a_n=a_1+d(n-1)[/tex]

We plug in the values to obtain:

[tex]a_n=-17+4(n-1)[/tex]

Expand

[tex]a_n=-17+4n-4[/tex]

Simplify:

[tex]a_n=4n-21[/tex]

Answer:

3 hours

Step-by-step explanation: