The diagram shows a floor in the shape of a trapezium. Tim is going to paint the floor. Each 5 litre tin of paint costs £16.99 and 1 litre of paint covers an area of 1.9 m2 How much would it cost to buy all the paint he needs? You must show how you get your answer. 0 m 16m £16.99

Answers

Answer 1

Answer: £186.89

Step-by-step explanation:

-We are given that each 5l  tin of paint costs £16.99 . We therefore divide the paint used by 5 and multiply by £16.99:

Hence, it will cost £186.89 to buy all the paint

Answer 2

Answer:

=£186.89

Step-by-step explanation:

A=1/2(a+b)h

a||b dimensions

A=1/2(16+10)×7.6

=98.8m²

Given that 1 litre of paint covers an area of 1.9 sq m, we divide the area of the trapezium by this and multiply by the price per liter to get total cost:

paint used= Area/paint m²

98.8/1.9

=52 litres

We are given that each 5l  tin of paint costs £16.99 . We therefore divide the paint used by 5 and multiply by £16.99

52/2

=10.4

11tins

cost=11×16.99

=£186.89


Related Questions

out of 6,29 and 22 which 2 or 3 numbers which ones are composite? pls answer the question I'm doing something I have to do so pls I need an answer

Answers

Answer:

6 = 2 * 3 so it is composite

22 = 2 * 11 so it is composite

29 is a prime number

Step-by-step explanation:

Answer:29

Step-by-step explanation:

6 = 2 and 3

22 = 2 and 11

29 = 1 and 29

therefore 29 is the composite number

A 2015 poll shows the president's approval rating to be 42%, a drastic 31% fall from his approval rating in 2014. What was his approval rating in 2014?

Answers

Answer:

The president's approval rating in 2014 is 60.9%

Step-by-step explanation:

The parameters given are;

President's approval rating in 2015 = 42%

President's approval rating in 2015 = 31% less than 2014 president's approval rating

Therefore, whereby the president's approval rating in 2014 = x, we have;

42% = x - 31% of x = x - 0.31·x = 0.69·x

Hence, x% = 42% ÷ 0.69 = 60.8696 ≈ 60.9%

The president's approval rating in 2014 = 60.9%.

his approval rating in 2014 is 60.9%

The calculation is as follows:

Here we assume the president's approval rating in 2014 = x

So,  

42% = x - 31% of x

= x - 0.31·x

= 0.69·x

Now  

Hence, x% [tex]= 42\% \div 0.69[/tex] = 60.8696 ≈ 60.9%

Learn more: https://brainly.com/question/1368131?referrer=searchResults

Un cometa es visible desde la tierra cada 24 años y otro, cada 36 años. El último año que fueron visibles conjuntamente fue en 1944. ¿En qué año volverán a coincidir?

Answers

Answer:

Ambos cometas coincidirán en 2016.

Step-by-step explanation:

(The following exercise is presented in Spanish and for such reason explanation will be held in that language).

Sean [tex]t_{1}[/tex] y [tex]t_{2}[/tex] los años en los que se hacen visibles los cometas, respectivamente. Se sabe que los cometas coinciden cuando se pueden ver el mismo año, ese año estaría asociado al mínimo común múltiplo de ambos intervalos de tiempo, el cual sería igual a 72 años. Entonces, ambos cometas volverán a coincidir en 2016.

find the coordinates of the vertices of the triangle after a reflection across the line x= -1 and then across the line y = 1.
F(-2,-3), G(-3,2), H(1,-1)​

Answers

Answer:

  a.  F'(0, 5), G'(1, 0), H'(-3, 3)

Step-by-step explanation:

Reflection across x = -1 gives you the transformation ...

  (x, y) ⇒ (-2 -x, y)

Reflection across y = 1 gives you the transformation ...

  (x, y) ⇒ (x, 2 -y)

Together, these give you the transformation ...

  (x, y) ⇒ (-2 -x, 2 -y)

Applying this to point F, we have ...

  F(-2, -3) ⇒ F'(-2 -(-2), 2 -(-3)) = F'(0, 5) . . . . . . matches choice A

_____

How we found the transformation

In general, if M is the midpoint between A and B, then you have ...

  M = (A+B)/2

  2M = A+B

  B = 2M - A

So, if we want x=-1 to be the midpoint between x' and x, then we have ...

  x' = 2(-1) -x = -2 -x

Likewise, if we want y=1 to be the midpoint between y' and y, then we have ...

  y' = 2(1) -y = 2 -y

So, the transformation is ...

  (x, y) ⇒ (x', y') = (-2 -x, 2 -y)

in a 45-45-90, what is the ratio of the length of one leg to the length of the other leg

Answers

Answer:

1:1

Step-by-step explanation:

In such a triangle, the legs are of equal length (but are shorter than the hypotenuse).  Thus, the ratio in question is 1:1.

2) Consider the sequence of steps to solve the equation: x - 3/3 = x + 3 Step 1 ⇒ x - 3 = 3(x + 3) Step 2 ⇒ x - 3 = 3x + 9 Step 3 ⇒ x = 3x + 12 Step 4 ⇒ -2x = 12 Step 5 ⇒ x = -6 Identify the property of equality which yields Step 5.

Answers

Answer:

Division property of equality

Step-by-step explanation:

-2x = 12  {Divide both sides by -2}

-2x/-2 = 12/-2

x = - 6

Division property of equality

Easy question for y’all math people, easy points. Question in photo :)

Answers

Answer:it would be D

Step-by-step explanation:

Input would be the x and output the y

Answer: D

Step-by-step explanation: The input is X, Output is Y

Find the volume V of the cone. Round your answer to the nearest tenth.
-10 cm
4 cm
V
cm3

Answers

Answer:

12

Step-by-step explanation:

Please answer this math question !! 20 POINTS AND BRAINLIEST!!

Answers

Answer:

3.1 ≤d≤183.1

Step-by-step explanation:

d = 4.5t + 3.1

Since this is a line, we can find the range by putting in the minimum and maximum of the domain

domain = 0≤t≤40

Let t =0

d = 0+3.1  so the minimum of the range is 3.1

Let t = 40

d = 4.5(40)+3.1

d = 183.1 so the maximum is 183.1

The range is 3.1 ≤d≤183.1

what is the value of x in the triangle below ​

Answers

Answer:

2

Step-by-step explanation:

how would you solve x + 3y = 18 -3x - 12y = -75 showing all of the work

Answers

Answer:

x = -3, y = 7.

Step-by-step explanation:

 x + 3y = 18  

-3x -  12y = -75

Multiply the first equation by 3:

3x + 9y = 54

Adding the last 2 equations to eliminate x:

-3y = -21

y = 7.

Substitute y = 7 into the first equation:

x + 3(7) = 18

x + 21 = 18

x = 18 - 21

x = -3.

Help me please i am marking brainiest, no one ever helps me with anything i am really struggling as a kid to move on to the next grade so please me me out with this problem please for i can force myself to keep going:

A student is doing a reading assignment. After 37 minutes of reading, she skims the pages ahead and estimates that she still has 55% of the reading to do. According to the girl's estimate, how long is the total reading assignment? Round to the nearest minute.

Answers

So assuming that the book is 100% the student has read 45% of the book so far in a time of 37 minutes so if you divide 45 by 37 you get 1 minute and 22 seconds per 1% of the assignment
If you multiply this by 100% you get 122 minutes for the total assignment

what is 65% of 400?​

Answers

Answer:

........................ 260

Answer:

260

Step-by-step explanation:

Write 65% as

65/100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

65/100 of 400 = 65/100 × 400

=260

line r is parallel to line s.
In which diagram MUST angle 1 be congruent to
angle 2?

Answers

Answer:

C

Step-by-step explanation:

In C, angle 1 and 2 are alternate exterior angles, meaning that they are equivalent. They are only corresponding angles in the other options and corresponding angles are not always congruent. So the answer must be C.

Angle 1 and Angle 2 are alternate interior angles.

Alternate interior angles are congruent.

Option C is the correct answer.

What are corresponding angles?

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

Line r and Line s are parallel.

Angle 1 is congruent with Angle 2.

The diagram that follows the situation where angle 1 and angle 2 are congruent.

A

Angle 1 and Angle 2 are the same side exterior angles and they are supplementary.

B

Angle 1 and Angle 2 are not congruent.

C

Angle 1 and Angle 2 are alternate interior angles.

Alternate interior angles are congruent.

D

Angl 1 and Angle 2 are co-interior angles.

Co-interior angles are supplementary.

Thus,

Angle 1 and Angle 2 are alternate interior angles.

Alternate interior angles are congruent.

Option C is the correct answer.

Learn more about corresponding angles here:

https://brainly.com/question/1597341

#SPJ2

Which property is used in the problem below?
2(x+4)= 2x+8
O the associative property
O the commutative property
O the distributive property
O the additive identity property

Answers

Answer:

Your Answer is C

Answer:

C. the distributive property

Step-by-step explanation:

took the unit test on edge

Hey math ppl, i need some help pls, question in photo

Answers

[tex]\text{Use the Pythagorean theorem:}\\\\a^2+b^2=c^2\\\\\text{Plug in and solve:}\\\\7^2+14^2=c^2\\\\49+196=c^2\\\\245=c^2\\\\\text{Square root both sides to cancel out the exponent}\\\\\sqrt{245}=\sqrt{c^2}\\\\\boxed{7\sqrt{5}=c}\\\\[/tex]

one expression that is equivalent to this sum is 18+12

Answers

Answer:

30+0

Step-by-step explanation:

18+12=30, 30+0= 30.

Paul uses the equation y=8x+40 to model the situation.


What does the number 40 represent in this equation? Be sure to explain using a complete thought!

Answers

Answer:

The point 40 refers to the y-intercept of the linear model

Step-by-step explanation:

Looking at the equation, we can conclude that it is the equation of a straight line or a linear equation.

What this means is that it follows the general form of the equation of a straight line which is

y = mx + c

where m is the slope and c refers to the y-intercept

when we say the y-intercept, we mean the point at which the straight line plot crosses the y-axis at which x = 0

Extrapolating this, we mean the term 40 in the model refers to the y-intercept of the given linear equation

it is at the point 40 that the straight line crosses the or touches the y-axis.

Also at this point, the value of x = 0

state is the triangles in each pair are similar. If so, say how you know they are similar and complete the similarity statement​

Answers

Answer:

1st

Step-by-step explanation:

The two triangles are similar by AA

Firstly, we can see that angle LKM and QKR are congruent as they are vertical angles.

The second set can be identified by noticing that RM is a transversal through 2 parrallel lines LM and QR. That manes QRK, and LMK alternate interior angles, showing that the angles are congruent. Hence similarity by AA

Jen makes necklaces by stringing different color beads. Each necklace is
15 inches long. Jen has an 85-inch length of beaded string. How many
necklaces can she make?

SOMEONE PLEASE HELP!!!!

Answers

Answer:

5 FULL necklaces.

Step-by-step explanation:

85/15

About 5.667

0.667 of a necklace doesn't count

So just 5! :)

38,32,26,20
What is the next term in this sequence?

Answers

14

You are taking away 6 each time

Answer:

Step-by-step explanation:

the next term is 14

Evaluate h-²g for h = 4 and g = 32.
2
1/2
8

Answers

Step-by-step explanation:

h2 - g

Putting values

(4)2 - 32

8 - 32

= - 24

If the probability that the Islanders will beat the Rangers in a game is 0.38, what is the probability that the Islanders will win at least six out of seven games in a series against the Rangers? Round your answer to the nearest thousandth.

Answers

Answer:

0.014

Step-by-step explanation:

The probability that the Islanders will win at least 6 out of seven is the probability of them winning exactly 6 games, P(X=6), added to the probability of them winning all seven games, P(X=7).

This problem can be treated as a binomial probability model with probability of success p = 0.38 in each of n = 7 games.

[tex]P(X=x) = \frac{n!}{(n-x)!x!}*p^ x*(1-p)^{(n-x)}[/tex]

Thus:

[tex]P(X=6) = 7*0.38^6*0.62\\P(X=6) =0.01307\\P(X=7) = 0.38^7\\P(X=7) =0.00114[/tex]

The probability is:

[tex]P(X\geq 6) = 0.01307+0.00114\\P(X\geq 6) = 0.014[/tex]

The probability that the Islanders will win at least six out of seven games in a series against the Rangers is 0.014.

PLEASE HELP WITH MATH

Answers

Volume is length x width x height.

Calculate the volume of each rectangle and add them together.

7.5 x 7.5 x 3.55 = 199.6875

7.5 x 3.55 x 3.55 = 94.51875

Volume = 94.51875 + 199.6875 = 294.21 cubic meters

Answer:

Volume =  294.21 cubic meters

Step-by-step explanation:

The area of trapezoid TRAP is 100. Furthermore, TR=32, AP=8, and TP=RA. If T=R what is the ;length of segment TP?

Answers

Answer:

5

Step-by-step explanation:

h=TP

20*h=100

=20h = 100

h = 100/20 =5

32+8=40/2=20*5=100!!!

(Hope it helped!)

G = {(1, 1), (1, 2), (1, 3), (1, 4)} Is G a function and why?

Answers

Answer:

[tex]G[/tex] is not function. The reason is that it is not one-to-one.

Step-by-step explanation:

A function is a mapping that is also one-to-one.

[tex]G[/tex] is indeed a mapping; it takes an input and relates it to one or more outputs.

Input: [tex]1[/tex], output: Input: [tex]1[/tex], output: [tex]2[/tex].Input: [tex]1[/tex], output: [tex]3[/tex].Input: [tex]1[/tex], output: [tex]4[/tex].

A mapping is one-to-one if and only if each input is mapped to only one output. [tex]G[/tex] is not one-to-one because it maps the input [tex]1[/tex] to four different outputs. Hence, [tex]G[/tex] isn't a function.

Necesito ayuda urgente, es un trabajo de matemáticas y tengo plazo hasta mañana a las 12:00 P.M hora Colombia. Ayudaaa plisss
Tengo que seleccionar la opción correcta ​

Answers

Answer:

La respuesta correcta es B)

Ambos son pentágonos ordinarios pero no son exactamente idénticos

A plane makes a return journey across the Atlantic Ocean, a distance
of 3800 km each way. From west to east the journey time is 6 hours
12 minutes. Because of the jet stream the plane takes 7 hours 18 minutes
to fly the same journey east to west.
Find the average speed of the plane for each crossing.

Answers

Answer:

Below in bold.

Step-by-step explanation:

6 hours 12 minutes = 6.2 hours

7 hours 18 minutes = 7.3 hours.

Average speed = distance / time

So for West to East,  average speed =  3800 / 6.2 = 612.9 km/hour.

- and  for East to West,  average speed =  3800 / 7.3  = 520.5  km/hour.

These values are correct to the nearest tenth.

Sarah met three members of the Harris family and they all had red hair. She made a conjecture that everyone in the Harris family has red hair. Choose a counterexample that prove this conjecture false

Answers

Answer:

3. Sarah met Charlie  Harris, the grandson of Ed and June, and he had a blond hair

Step-by-step explanation:

In a circle, an arc length of 6.6 is intercepted by central angle of 2/3 radians. Determine the length of the radius.

Answers

Answer:

9.9

Step-by-step explanation:

To solve this problem, we first need to know that the whole length of the circunference is related to a central angle of 2pi radians. Then, we can solve using a rule of three to find the radius:

arc of 6.6 -> central angle of 2/3

arc of 2*pi*r -> central angle of 2pi

2*pi*r * (2/3) = 6.6 * 2*pi

r * (2/3) = 6.6

r = 6.6 / (2/3) = 9.9

So the length of the radius is 9.9

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