A steam engine for pulling trains has wheels of diameter 1.5 metres.

The steam engine travels 1000 metres along a test track.

Work out the number of complete turns of a wheel.

Answers

Answer 1

Answer:

The wheel completed a total of 212 turns.

Step-by-step explanation:

A wheel has a circular form, therefore its length is given by the following formula:

[tex]length = 2*\pi*radius[/tex]

Where radius is half the diameter. Applying the data from the problem to calculate the length of the wheel gives us:

[tex]length = 2*\pi*(\frac{1.5}{2})\\length = 1.5*\pi = 4.7124[/tex]

Since the engine traveled a distance of 1000 metres and each turn of the wheel has 4.7124 metres, in order to calculate the number of turns the wheel made in that course we need to divide both numbers as shown below:

[tex]turns = \frac{1000}{4.7124} = 212.21[/tex]

The wheel completed a total of 212 turns.


Related Questions

Can anyone answer these? I’ll give you brainiest and 5 stars

Answers

Answer:

Step-by-step explanation:

2y^4 x 5y^3 = 10y^7

3gh^2 x 4g^3h^3 = 12g^4h^5

Answer:

1) 10y^7

2)12g^4h^5

Step-by-step explanation:

First just multiply numbers the rule is to add the exponents and if it doesn't show an exponent it should be 1 as an exponent so 2x5 is 10 and 4+3 is 7 so 10y^7 you do the same for the other one

what is the gradient of the blue line Attachment below!!!!!!!!!!!

Answers

Answer:

-3 Or 3 it could be any one of them

Step-by-step explanation:

-3 or 3

Rise/run so an

James buys a shirt and a pair of socks on sale for 25% off. If the price of the shirt before the sale was $24 and he spent a total of $24, what was the original price of the socks? Enter your answer in the box.

Answers

Answer:

The price of the socks is dollar 8

Pls mark nrainliest

Answer:

$8

Step-by-step explanation:

Using the information we already know, we can form an equation:

Let x be the socks' original price.

[tex](24+x)[/tex] × [tex]0.75=24[/tex]

Divide both sides by 0.75

[tex]24+x=32[/tex]

Subtract 24 from both sides

[tex]x=8[/tex]

The socks' original price was $8.

WILL GIVE BRAINLEIST TO WHOEVER GETS IT RIGHT

Answers

Answer:

Brainliest!!! :)    XD  =D

Step-by-step explanation:

m<Q = 93                    m<R = 87

the screenshot shows the answers

please help you don’t need to explain this just tell me the right answer

Answers

Answer:the SAS similarity theorem

Step-by-step explanation:

Can some one help with the following please…???

Answers

Answer:

5. 8

6. 18

Step-by-step explanation:

5.

a(a^2 + a - 1) + 7 =

= a^3 + a^2 - a + 7

For a = -1,

= (-1)^3 + (-1)^2 - (-1) + 7

= -1 + 1 + 1 + 7

= 8

6.

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

= 2a^2b + 2ab^2 - 3a^2b + 3ab^2

= -a^2b + 5ab^2

For a = 1 and b = 2,

= -(1)^2(2) + 5(1)(2)^2

= -1(2) + 5(4)

= - 2 + 20

= 18

Answer:

Step-by-step explanation:

a(a^2 + a -1) +7

a^3+a^2-a+7

f(-1)=(-1)^3+(-1)^2-(-1)+7

f(-1)=-1+1+1+7

f(-1)=0+1+7

f(-1)=8

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

2a^2*b+2ab^2-3a^2*b+3ab^2

−a^2*b+5ab^2

when a=1 and b=2

−a^2*b+5ab^2

−(1)^2*2+5*1*2^2

-1*2+5*1*4

-2+5*4

-2+20

18

Can someone please help me with this I don’t get it please help me

Answers

Answer:

13.3

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

AM             AN

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

AM+AB          AC

6             8

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

6+4          AC

Using cross products

6AC = 8 * 10

6AC = 80

Divide by 6

AC = 80/6

AC =13 1/3

AC = 13.33333

Answer:

11

Step-by-step explanation:

add

(02.06)If 1 pint is equal to 2 cups, then 5 pints would equal ___ cups.

Answers

Answer:

If 1 pint is equal to 2 cups, then 5 pints would equal _5_ cups.

Step-by-step explanation:

Let's use a ratio to solve:

pints : cups

  1      :   2

  2     :   4

  3     :   6

  4     :   8

  5     :   10

There would be 10 cups in 5 pints.

Zia was driving his truck on the super highway. His speed was recorded by the motorway camera between 6:00am to 8:30am. He covered a distance of 250km during this time. Calculate his average speed between this time duration?

Answers

Answer:

100 kilometers per hour.

Step-by-step explanation:

Since he covered a distance of 250 km in a time range of 2 and a half hours, his average speed in kilometers per hour is 250 / 2.5, which is 100 kilometers per hour.

Answer:

100km / hr

Step-by-step explanation:

Given That:

Time = between 6.00 and 8.30 = 2 1/2 hours  

Distance = 250 k m

We Know that :

Speed  = Distance divided by time.

Unit of speed, appropriate here = km/h

thus, Speed = 250/2.5 = 100km/hr.

Hope this helps

Instructions: Find the circumference of the circle and round to the nearest tenth.
3.2 yd.
Circumference =
yd.
Can u get help?

Answers

Answer:

the answer is 20.1 yd

Step-by-step explanation:

circumference= 2πr

where r is 3.2

pi is 22/7

c = 2/1 × 22/7 × 3.2/1

c = 140.8/7

c = 20.1 yd

The circumference of the circle is 20.12 yd. if the radius of the circle is 3.2 yd the answer is 20.12 yd.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have a circle shown in the picture.

The radius of the circle = 3.2 yd

As we know,

The circumference of the circle can be calculated using the formula:

C = 2πr

Here,

C is the circumference of the circle

r is the radius of the circle

r = 3.2 yd

C = 2π(3.2)

Take π = 22/7

C = 6.4π(22/7)

C = 140.8/7

C = 20.114

After round to the nearest tenth:

≈ 20.12 yd.

Thus, the circumference of the circle is 20.12 yd. if the radius of the circle is 3.2 yd the answer is 20.12 yd.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

What is m E
45°
125°/F
80°
A
45°
D
125°
135°
B

Answers

Answer:

45° is the answer as to me check it ok

which expression is not a polynomial?

Answers

Answer

A

Step-by-step explanation:

a polynomial only consist of multiplication, addition, and subtraction, and no division

Answer:

A

Step-by-step explanation:

Jill wants to buy either a ball pen or an ink pen. Both pens come in 4 styles. Find the number of possible choices. *

Answers

Answer:

He has 8 possible choices

Step-by-step explanation:

Here, we want to know the number of choices Jill has.

He wants to buy either of the 2 pens.

In the first set , he has 4 styles to choose from

In the second set, he has also 4 styles to choose from

So his total number of possible choices would be 4 + 4 = 8 possible choices

simplify (4 x 10^6) x (2 x 10^3) and express the result in scientific notation​

Answers

Answer:

4 * 2 = 8 and 10^6 * 10^3 = 10^(6 + 3) = 10^9 so the answer is 8 * 10^9.

Find m4+ 1/m4 , if m− 1/m =3.

Answers

Answer:

119

Step-by-step explanation:

m - 1/m = 3

([tex](m-\frac{1}{m})^{2} = 9\\m^2 - 2 + \frac{1}{m^2} = 9\\ m^2 + \frac{1}{m^2}) = 11\\ \\[/tex]

[tex](m - \frac{1}{m}) ^4\\ = m^4 -4m^2 - \frac{4}{m^2} + 6 = 81\\ m^4 + \frac{1}{m^4} = 75 +4(m^2 + \frac{1}{m^2})\\ m^4 + \frac{1}{m^4} = 75 +4 * 11 = 119[/tex]

There were 200 melons in a box and they were distributed to 3 children in the ratio of 4:3:3. The first child sold the melons at 2$ each while the other two sold the melons at 2 for 5$. find the total amount of money collected fro. the sales of all melons.​

Answers

Answer:

$460

Step-by-step explanation:

let the number of melons be x

4x + 3x + 3x = 200 melons

10x = 200 so, x will be 20

4x = 80 melons

3x = 60

3x = 60

amount made by 1st child = 80 × $2 = 160$

the remaining melons are 60 + 60 = 120

amount collected: they sold them in groups of 2 and each group was $5. so,

120÷2 × $5 = $300

total amount = 300 + 160 = $460.

What is the total surface area of the figure shown?

Answers

Answer:

Surface area of the figure = 1000 in²

Step-by-step explanation:

From the figure attached,

Two rectangular prisms A and B have been shown with the dimensions.

Surface area of a rectangular prism = 2(length + width) × height

Surface area of prism A = 2(9 + 10) × 20

                                        = 760 in²

Surface area of prism B = 2(15 + 10) × 8

                                        = 16×25

                                        = 400 in²

But one surface of prism B along the width and the same area of prism A are hidden.

Area of the hidden surfaces = 2(10 × 8)

                                               = 160 in²

Total surface area of the figure = 760 + 400 - 160

                                                    = 1000 in²

take my pointpointWhich day was the weather forecast most accurate?

Forecast vs Actual Temperature
Day
Degrees above (+) or
below (–) forecast
Monday
+4
Tuesday
–6
Wednesday
+7
Thursday
–2

Monday
Tuesday
Wednesday
Thursday

Answers

Answer:

B

Step-by-step explanation:

Answer:

Tuesday

Step-by-step explanation:

PLZ HELP!!!!!!!!!!!!!!!!!!
Y=-6x^2+100x-180. What do the zeroes mean in context?

A.) If soccer balls are sold for $2.05 each, the store will make a daily profit of $14.61
B.) If soccer balls are sold for $14.61 each, the store will make a daily profit of $2.05.
C.) If soccer balls are sold for $2.05 or $14.61 each, the store will maximize their daily profit.
D.) If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.

Answers

Answer:

D.) If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.

Step-by-step explanation:

Let us assume x = selling price of each soccer ball

y = daily profit earned from selling of soccer balls

Given that

Y= [tex]-6x^2+100x-180[/tex]

where,

a = -6

b = 100

c = -180

Now we have to applied the formula which is as follows

x [tex]= \frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

[tex]= \frac{-100\pm\sqrt{100^2-4\times -6\times -180}}{2\times -6}$[/tex]

[tex]= \frac{-100\pm\sqrt{10,000 - 4,320}}{-12}$[/tex]

[tex]= \frac{-100\pm\sqrt{5.680}}{-12}$[/tex]

[tex]= \frac{-100 + 75.3658}{-12}$[/tex]

[tex]= \frac{24.6342}{-12}[/tex]

x^1 = -2.05285

Now

x^2  [tex]= \frac{-100 - 75.3658}{-12}$[/tex]

[tex]= \frac{- 175.3658}{-12}[/tex]

x^2 = 14.6138

Based on this the option D is most appropriate as per the given situation

Answer:

If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.

Tony has $20. He wants to buy at least 4
snacks. Hot dogs (x) are $3 each.
Peanuts (y) are $2 each.​

Answers

Tony has $20. He wants to buy at least 4

snacks. Hot dogs (x) are $3 each.

Peanuts (y) are $2 each.​

Answer:

To solve the above question, we use the below inequality equations

x + y ≥ 4 snacks .........Inequality equation 1

3x + 2y ≤ $20 ..........Inequality equation 2

Step-by-step explanation:

We can make use of the inequality equations

Hot dogs = (x) are $3 each.

Peanuts = (y) are $2 each.​

He wants to buy at least 4

x + y ≥ 4 snacks .........Inequality equation 1

3x + 2y ≤ $20 ..........Inequality equation 2

From the above inequality equations, Tony can buy at least 4 snacks but he can only spend $20.

Let take a random number, where x = 4, and y = 4. This means Tony can buy

a) 4($3) + 4($2) = 12 + 8 = $20

The total number of snacks = 4 + 4 = 8 snacks.

b)

This answer above confirms the inequality equations 1 and 2

x + y ≥ 4 snacks .........Inequality equation 1

8 snacks ≥ 4 snacks

3x + 2y ≤ $20 ..........Inequality equation 2

$20 ≤ $20

Answer:

4 is the first one and the second one is ---->

Total Price: 3x + 2y ≤ 20

Step-by-step explanation:

Let's complete the inequalities that represent Tony's situation.

Given:

Tony wants to buy at least 4 snacks.

Hot dogs (x) are $3 each.

Peanuts (y) are $2 each.

We can form the following inequalities:

Total Snacks: Tony wants to buy at least 4 snacks, which can be represented by the inequality:

x + y ≥ 4

This inequality ensures that the sum of hot dogs (x) and peanuts (y) is greater than or equal to 4, indicating that Tony wants to buy at least 4 snacks in total.

Total Price: To represent the total price, we need to consider the cost of each snack. Hot dogs are $3 each, and peanuts are $2 each. Thus, the total price can be represented by the inequality:

3x + 2y ≤ 20

This inequality accounts for the total cost of the snacks Tony wants to buy. The left-hand side represents the cost of x hot dogs ($3 each) and y peanuts ($2 each), and the inequality ensures that the total cost does not exceed Tony's available budget of $20.

Therefore, the completed inequalities are:

Total Snacks: x + y ≥ 4

Type the correct answer in each box. Use numerals instead of words. Based on the Pythagorean theorem, find the missing length for each of the given right triangles. Triangle EFG with side a = 9, side c = 41 and side b = . Triangle PQR with side a = 20, side b = 21 and side c = . Triangle XYZ with side b = 24, side c = 25 and side a = .

Answers

Answer: See below

Step-by-step explanation:

The Pythagorean Theorem is a²+b²=c². Since each problem gives us the length of a, b, or c, we can directly plug them into this equation and solve.

Triangle EFG

9²+b²=41²

81+b²=1681

b²=1600

b=√1600

b=40

----------------------------------------------------------------------

Triangle PQR

20²+21²=c²

400+441=c²

c²=841

c=√841

c=29

----------------------------------------------------------------------

Triangle XYZ

a²+24²=25²

a²+576=625

a²=49

a=√49

a=7

Find the distance between the points (-5,-2) and (7,3).

Answers

Answer:

Step-by-step explanation:

What is the final amount if 1885 is increased by 5% followed by a further 18% increase?
Give your answer rounded to 2 DP.

Answers

Answer:

Answer = 2,335.52

Step-by-step explanation:

Given amount : 1,885

Finding 5%  of 1,885 =  0.05 * 1,885

5% of 1885 = 94.25

Now 1885 increased by 5% =  1,885 + 94.25= 1,979.25

Finding further 18% of 1,979.25 = 0.18 * 1,979.25

18% of 1979.25 = 356.265

Final amount = 1,979.25 + 356.265

Final Amount = 2,335.515

Now Rounding off the answer to 2 decimal points we get:

Answer = 2,335.52

(As the third digit after decimal is 5 so previous will be added b 1)

2 less than a number times 6

Answers

Answer: 6x- 2

Explanation: 2 less means (- 2) a number times 6 can be written as 6x

Who is taking in more calories if the small bags of Snickers are the exact same size: A person in a group where 5 people are sharing 3 small bags of Snickers or a person in a group where 7 people are sharing 2 small bags of Snickers?

Answers

Answer:

the person in the group of 5

Here is the histogram of a data distribution. All class widths are 1.
4
3-
2
1
What is the median of the distribution?

Answers

Answer: Option C, the median is 5.

Step-by-step explanation:

The median is the value that is just in the middle of our data set (the possible values in the histogram)

the set is S = {2, 3, 4, 5, 6, 7, 8, 9}

And if we take in account the number of times that each value is repeated, we get:

S = {2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 9}

So we have 17 values, and the one exactly in the middle will be the median.

To find the point in the middle, we can use that we have 17 values, because 17 is odd, we can do

17 - 1 = 16

16/2 = 8.

17 - 8 = 9.

Then the 9nth point is our median:

the 9th point is a 5.

Then the correct option is C

Zen rolled a fair six-sided die 12 times. The table below shows the number of times each number was rolled: According to the results in the chart, what is the experimental probability of getting a number greater than 3 on the die? A. 3/12 B. 6/12 C. 9/12 D. 8/12

Answers

Answer:

D

Step-by-step explanation:

Out of the 0 + 3 + 1 + 2 + 2 + 4 = 12 trials, the numbers 4, 5, and 6 (the numbers greater than 3) appeared 2 + 2 + 4 = 8 times so the probability is 8 / 12.

Answer: it’s D 8/12

Step-by-step explanation:

I did the quiz

The probability that any postcard posted in Portugal on Monday is delivered to the UK within a week is 0.62.
The probability that any postcard posted in Portugal on Friday is delivered to the UK within a week is 0.41.
Anna is on holiday in Portugal. She posts 15 postcards to the UK on Monday.
How many of her postcards can she expect to be delivered within a week?

Answers

Answer:

She expect 9  postcards to be delivered within a week.

Step-by-step explanation:

We are given that The probability that any postcard posted in Portugal on Monday is delivered to the UK within a week is 0.62

We are also given that The probability that any postcard posted in Portugal on Friday is delivered to the UK within a week is 0.41.

Now we are supposed to find How many of her postcards can she expect to be delivered within a week if She posts 15 postcards to the UK on Monday.

So, The probability that any postcard posted in Portugal on Monday is delivered to the UK within a week =0.62

She expect no. of postcards to be delivered within a week.= [tex]15 \times 0.62[/tex]

She expect no. of postcards to be delivered within a week.=9.3

So, She expect 9  postcards to be delivered within a week.

i dont understand may i have some assitance

Answers

Answer:

For the first blank, let's see how many numbers are in between 5 and 10. This is 5 (the numbers are 5, 7, 6, 6, 8). The second blank is 8 (the numbers are 10, 12, 10, 14, 13, 11, 12, 12), the third blank is 6 and the fourth is 1.

For the first blank, let's see how many numbers are in between 5 and 10. This is 5 (the numbers are 5, 7, 6, 6, 8). The second blank is 8 (the numbers are 10, 12, 10, 14, 13, 11, 12, 12), the third blank is 6 and the fourth is 1

CAN I GET SOME HELP PLEASE?????
Brainliest??

Answers

Answer:

The answer is A

Step-by-step explanation:

Traingle ABC is congruent to traingle EFD by hl rule

Other Questions
What is a system of equations for the following situation? A group of 12 people went to see a movie. The cost to go to the movie is $10 for an adult and $6 for a child. The total cost for the group was $100. Can someone please help me Im stuck 1) Use Newton's method with the specified initial approximation x1 to find x3, the third approximation to the root of the given equation. 2 x x2 + 1 = 0, x1 = 2 What is x3 =?2) Use Newton's method to find all solutions of the equation correct to six decimal places. x + 4 = x^2 - xWhat is X =?3) Use Newton's method to find all solutions of the equation correct to six decimal places. 5 cos(x) = x + 1What is X =?4) A graphing calculator is recommended.Use Newton's method to find all solutions of the equation correct to eight decimal places. Start by drawing a graph to find initial approximations. 5A) Use Newton's method to find the critical numbers of the function f(x) = x6 ? x4 + 3x3 ? 4xWhat is X =?B) Find the absolute minimum value of f correct to four decimal places. a triangle has it side as r is 53 degree which is hypotenuse t opposite which is 14 s is adjacent find r and s Who abolished the Iqta System? Video games sold: xRevenue function: R(x) = 60xCost function: C(x) = 12 + 7xProfit function: Px) = g Other things the same, a decrease in the price level causes real wealth to a. fall, interest rates to fall, and the dollar to appreciate. b. fall, interest rates to rise, and the dollar to depreciate. c. rise, interest rates to rise, and the dollar to appreciate. d. rise, interest rates to fall, and the dollar to depreciate. Identify examples and non-examples of the standard form of a linear function.5x - 3y = 9y = 1/2x - 32x + 3y = 0x + y = 1x = 6yy = x - 2Which are examples and which are non- examples? The Great Depression was a worldwide economic disaster.Many factors weakened the U.S. economy in the yearsbefore the Depression. American consumers took on highlevels of debt to buy luxury goods, and stock speculatorsborrowed money to invest in the market. The country alsofaced dust storms that devastated crops and destroyedrural economies. These factors contributed to the crash ofthe U.S. stock market in 1929. The crash led to bankfailures and widespread unemployment. This crisiseventually helped Franklin Roosevelt win the presidencyand implement his New Deal programs.According to the passage, what were the primary causes of the GreatDepression? please help Multiply -4w(w+2) At which root does the graph of f(x) = (x 5)3(x + 2)2 touch the x-axis? On February 22, Brett Corporation acquired 250 shares of its $3 par value common stock for $26 each. On March 15, the company resold 66 shares for $29 each. What is true of the entry for reselling the shares type < = to mean = to mean .Jake began the day with 6 dollars in his wallet. Then he withdrew somemoney from the bank and added that to what was already in his wallet. Afterdoing that, he had 31 dollars in his wallet. the area of a square field is 50625 meter square find its perimeter Josephine bought a sweater for $9.99 and a skirt for $21.50. She gave the clerk $50. How much change did she receive Questions about the tax multiplier:1. Suppose the marginal propensity to consume (MPC) for a nation is 0.7. What is the tax multiplier for this nation?2. What is the tax multiplier for this nation if a $150 increase in taxes reduces real GDP by $450? 3. How much will real GDP change if the tax multiplier is-9 and taxes are reduced by $200? Solve the equation. 1.25 =0.75+r A physician wants to observe the monocytes from a patient. Design an experiment the physician can perform to retrieve monocyte cells. What is the molar mass of sulfur trioxide? The government establishes an effective price ceiling for a gallon of milk. What will be the result of this ceiling? a) It will create a surplus b) It will create a shortage c) It will have no effect d) It will cause an increase in demand e) it will cause an increase in supply