This railway car is 3.2 m in diameter and 17.2 m long. Calculate its surface area.
A railway car is a cylinder.
Estimate the cost of painting the outside of the railway car, if a can of paint covers an area of 40 m2 and costs $35.

Answer:A=hbb

2

Step-by-step explanation:

If the sides of a triangle are given along with an included angle, the area of the triangle can be calculated with the formula, Area = (ab × sin C)/2, where 'a' and 'b' are the two given sides and C is the included angle. This is also known as the "side angle side " method.

Answer:

Below in bold.

Step-by-step explanation:

The mean is 55 therefore, by definition:

On average the students are 55 inches tall.

The median is the middle ( or the average of 2 middle) value when the data is arranged in order.

So as the media is 46 inches about half are more than 46 ins tall.

Answer:

False

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × breadth

  = (x + 5)(x - 5) ← expand factors using FOIL

  = x² - 5x + 5x - 25

 = x² - 25 ≠ x² - x - 15

Answer: Horizontal means going through something like mainly through the middle, and verticle are the posts going up and down through the fence. All you have to do is combine them in figure 2 and slot them down in the boxes. Hope this helps <3

Step-by-step explanation:

The best peer evaluation is C. the mechanics and organization are good, but sentences 1 and 3 should be edited to achieve a formal style and objective tone.

The best peer evaluation is a critical review that critiques and provides feedback to other students on their academic work.

The purpose of a peer evaluation is to develop students' lifelong skills in assessing and providing feedback to others.

Peer evaluation also equips students with self-assessment skills to improve their own work.

Thus, the best peer evaluation is C. the mechanics and organization are good, but sentences 1 and 3 should be edited to achieve a formal style and objective tone.

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Answer:

25

Step-by-step explanation:

12 x 100 = 1200

1200 / 48 = 25

Answer:

100

Step-by-step explanation:

-100 is always going to be 100 units away from 0 no mater what

The points (2, -2) and (0, -1) lies on the inverse of the function y = (-x -2)/2 if the function is y = -2x - 2 option (C) and (E) are correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

In the graph, a linear equation is represented.

We can find the function of linear equation from the two points:

(-1, 0) and (0, -2)

x/-1  + y/-2  = 1

2x  + y  = -2

y = -2x - 2 ..(1)

From the equation, first take subject as x and find the value of x

2x = -y -2

x = (-y -2)/2

Replacing x→y and y →x

y = (-x -2)/2

The inverse of a function:

y = (-x -2)/2

Points (2, -2) and  (0, -1) lies on the inverse of the function(refer to attached picture)

Thus, the points (2, -2) and (0, -1) lies on the inverse of the function y = (-x -2)/2 if the function is y = -2x - 2 option (C) and (E) are correct.

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The probability of drawing a number card and then number card without replacement is 105/221 option first is correct.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The total number of cards = 52

Total number of cards printed number on it = 36

The probability of drawing a number card and then number card without replacement:

[tex]= \rm \dfrac{36}{52}\times \dfrac{35}{51}[/tex]

= 1260/2652

= 105/221

Thus, the probability of drawing a number card and then number card without replacement is 105/221 option first is correct.

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Answer:

Right Angle.

Step-by-step explanation:

A right angle (90°; /2 radians) exists between a tangent to a circle and the radius across the point of contact. To put it another way, the tangent and radius are perpendicular to one another.

Answer:

I would day right angle. It sounds like the best answer

Step-by-step explanation:

Step-by-step explanation:

here's the answer.......

The letter A represents where the amount of $158.29 should be written.

The letter D represents where the amount of $250 should be written.

This refers to the automated machine that is used to handle cash transactions and also for making calculations.

Hence, we can see that from the complete information, Ivan has a cash register where he records the amount he spends on groceries which is $158.29, and also the transaction of sending $250 to his savings account.

However, in the cash register, Ivan uses the letter A to show where the amount of $158.29 should be written and the letter D represents where the amount of $250 should be written.

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Answer:

A and D

Edge 2022

Because there are no red marbles on the bag, we will see that the probability is zero.

We want to find the probability that the marble will be red. Viktoria knows that her bag has no red marbles, then it is impossible to get a red marble.

The probability of an impossible event is 0 (suppose that there are 10 marbles in the bag, we have a probability of 0 out of 10 of getting a red marble).

Then we can write the probability as P = 0.

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Answer: 0 enjoy

Step-by-step explanation:

Parent function is general modulus function

Now

x is increased by +3 so change in x axis and vertex.

The vertex shifted 3 units leftwards .

Means compression factor is 2

Both graphs attached

Answer:

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]

Parent function:  [tex]f(x) = |x|[/tex]

Translated 3 units left:  [tex]f(x+3)=|x+3|[/tex]

Stretched parallel to the y-axis by a factor of 2:  [tex]2f(x+3)=2|x+3|[/tex]

Therefore, the function has been:

Attachments

Green graph - parent function   [tex]f(x) = |x|[/tex]

Red graph - Translated 3 units left   [tex]f(x)=|x+3|[/tex]

Blue graph - Stretched   [tex]f(x)=2|x+3|[/tex]

Answer:

   46. (3) 29

   47. (1) y = -4x + 3

   48. (3) 3

   49. (3) -1/2

   50. (4) 25x - 75

Step-by-step explanation:

Question 46

Question 47

Question 48

Question 49

Question 50

Answer:

  (a)  452 m²

Step-by-step explanation:

The lateral area of a cylinder is given by the formula ...

  A = 2πrh . . . . radius r, height h

__

The given tube has an outside (or inside) area of ...

  A = 2(3.14)(5 m)(14.4 m) = (3.14)(144 m²) ≈ 452 m²

Each curved surface of the tube has an area of about 452 m².

Answer:

Here is the ans...hope it helps

Answer:

1.89 inch²

Explanation:

[tex]\sf \boxed{\sf \dfrac{pq}{2} } \ \ \ where \ p \ and \ q \ are \ the \ diagonals \ of \ the \ kite[/tex]

Here given:

Find the Area:

[tex]\rightarrow \sf \dfrac{2.7 \ x \ 1.4}{2} \ = \ 1.89 \ in^2[/tex]

The pool must have been the same depth at the start of the interval as it was at the end of the interval, option second is correct.

Finding out how much something changes over time is what the average rate of change is all about.

We have Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero.

As we know that the average rate of change can be calculated using:

= (Last quantity - starting quantity)/Time interval

The average rate of change, on the other hand, does not account for intermediate values, therefore you can't draw any conclusions about them.

In the given problem:

The average rate of change in depth = (Last quantity - starting quantity)/2

0= (Last quantity - starting quantity)

Final depth = Initial depth

Thus, the pool must have been the same depth at the start of the interval as it was at the end of the interval, option second is correct.

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Answer:

[tex]\boxed{\sf x = -4 \pm 2\sqrt{6} }[/tex]

Explanation:

3x² + 24x - 24 = 0

factor the coefficient

3(x² + 8x) -24 = 0

Halve the second term and square it

3(x + 4)² -24 -3(4)² = 0

simplify the answer

3(x + 4)² -72 = 0

add 72 on both sides

3(x + 4)² = 72

divide both sides by 3

(x + 4)² = 24

square root both sides

x + 4 = ±√24

subtract both sides by 4

x = -4 ± 2√6

Answer:

[tex]x=-4\pm2\sqrt{6}[/tex]

Step-by-step explanation:

Completing the square for quadratic in the form  [tex]ax^2+bx+c=0[/tex]

Given equation:

[tex]3x^2+24x-24=0[/tex]

Factor out 3:

[tex]\implies 3(x^2+8x-8)=0[/tex]

Divide both sides by 3:

[tex]\implies x^2+8x-8=0[/tex]

Add 8 to both sides:

[tex]\implies x^2+8x=8[/tex]

[tex]\textsf{Add }\: \left(\dfrac{b}{2}\right)^2\: \textsf{ to both sides}:[/tex]

[tex]\implies x^2+8x+\left(\dfrac{8}{2}\right)^2=8+\left(\dfrac{8}{2}\right)^2[/tex]

[tex]\implies x^2+8x+16=8+16[/tex]

[tex]\implies x^2+8x+16=24[/tex]

Factor the left side:

[tex]\implies (x+4)^2=24[/tex]

Square root both sides:

[tex]\implies x+4=\pm2\sqrt{6}[/tex]

Subtract 4 from both sides:

[tex]\implies x=-4\pm2\sqrt{6}[/tex]

Answer:

Question 1: ∠V = 40° and MD = 17.62 and VD = 27.41 (work below)

Question 2: b. 60

Question 3: b. sinC

Step-by-step explanation:

Answer:

p - 14.5 = 53

Step-by-step explanation:

The original price is p.

The discounted price is $14.50 less than p, or $14.50 subtracted from p. The discounted price is p - 14.5.

The discounted price is $53

Equation:

p - 14.5 = 53

now, we don't have a compounding period above, so we're assuming the amount is compounding annually.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\pounds 8112\\ P=\textit{original amount deposited}\\ r=rate\to 30\%\to \frac{30}{100}\dotfill &0.30\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}[/tex]

[tex]8112=P\left(1+\frac{0.30}{1}\right)^{1\cdot 2}\implies 8112=P(1.3)^2\implies \cfrac{8112}{1.3^2}=P\implies 4800=P[/tex]

answer : 13

steps:

its asking

subtract 8 from 60 which is 56

subtract 10 from 75 which is 65

then its asking

find the largest number that can divide 56 and 65

that number is

13

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The rate of change is $27 per month if the change in y values is 54 and change in x values is 2.

It is defined as the change in values of a dependent variable with respect to the independent variables.

From the data given in the table, we can find the rate of change per month:

To find the rate of change:

= change in y/ change in x

= (138-84)/(4-2)

= 54/2

= 27 per month

Thus, the rate of change is $27 per month if the change in y values is 54 and change in x values is 2.

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Answer:

0.525 is the number.

X = Y/P%

X = 0.84/160%

p = 160%/100 = 1.6

X = 0.84/1.6

X = 0.525

Answer:

35.9 degrees

Step-by-step explanation:

the arctan of 0.724 is 35.9 degrees

Answer

18 hours

Step-by-step explanation:

if 10 people spend 15 hours

one person spend 15/10=1.5

so 1.5 × 12=18hours