The diagram shows the cross-section of a wall of a cinema. It has to be painted. Work out the area that needs to be painted.
Answers
Answer:
Area = 370 m²
Cost to paint = £105
Step-by-step explanation:
Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)
Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
where [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides and h is the distance between these sides.
Area of trapezoid (1) = [tex]\frac{1}{2}(11+12)\times 6[/tex]
= 69 m²
Area of the rectangle (2) = Length × Width
= 12 × 15
= 180 m²
Area of the trapezoid (3) = [tex]\frac{1}{2}(12+10)\times 11[/tex]
= 121 m²
Now area of the wall = 69 + 180 + 121
= 370 m²
One tin covers the area = 25 m²
Number of tins required to paint the wall = [tex]\frac{\text{Total area}}{\text{Area covered by one tin}}[/tex]
= [tex]\frac{370}{25}[/tex]
= 14.8
Therefore, number of tins to be purchased = 15
Cost to paint the complete wall = 15 × £7
= £105
Related Questions
What is the distance, in units, between the points (3, -2) and (7, 5)?
Answers
Answer:
Step-by-step explanation:
Hope it helped
Answer:
√65 (units)
Step-by-step explanation:
A(3, -2) and B(7, 5)
AB=√ [(xB-xA)²+(yB-yA)²]
AB=√ [(7-3)²+(5+2)²]=√(16+49)
AB=√65 (units)
PLEASE HELP ASAP WILL MARK BRAINLIEST 6TH GRADE
Answers
Answer:
The answer is c
Step-by-step explanation:
Answer:
the answer is c
A square patio has a perimeter of (32x+8) feet. What is the length of the patio? Thanks!
Answers
Answer:
The side length is 8x+2 ft
Step-by-step explanation:
The perimeter of a square is found by
P =4s where s is the side length
32x +8 = 4s
Divide each side by 4
32x/4 +8/4 = 4s/4
8x+2 = s
The side length is 8x+2 ft
Find the missing side of a right triangle with leg length 5 yards and hypotenuse 13 yards.
Answers
[tex]answer =12 \: yards \\ solution \\ hypotenuse(h) = 13 \: yards \\ perpendicular(p) = 5 \: yards \\ base(b) = ?\\ using \: pythagorus \: theorem \\ {h}^{2} = {p}^{2} + {b}^{2} \\ {b}^{2} = {h}^{2} - {p}^{2} \\ {b}^{2} = {13}^{2} - {5}^{2} \\ {b}^{2} = 169 - 25 \\ {b}^{2} = 144 \\ b = \sqrt{144 } \\ b = \sqrt{ {12}^{2} } \\ b = 12 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Answer:
Step-by-step explanation:
Use Pythagorean theorem
let the missing side be x
5² +x² = 13²
25 + x² = 169
x² = 169 - 25
x² = 144
x =√144
x = 12 yards
1) The perimeter of a rectangular classroom floor is 90 feet. The length of the floor is twice the
width. Which equation would NOT help us solve for the length and width of the classroom? Show your
your
work on
scratch paper. *
x + 2y = 90
x = 2y
2(2y) + 2y = 90
2x + 2y = 90
Answers
Answer: The equation would NOT help us solve for the length and width of the classroom is "[tex]x + 2y = 90[/tex]".
Step-by-step explanation:
Let y be the width of the rectangular classroom floor and x be the length of the rectangular classroom floor .
Given ,
The perimeter of a rectangular classroom floor is 90 feet.
The length of the floor is twice the width.
i.e. Length =2 (width)
i.e. x= 2y ..(i)
Also, perimeter = 2(length+width)
[tex]i.e. 2(x+y)=90\\\\\Rightarrow\ 2x+2y=90[/tex]
When we put value of x from (i), we get
[tex]2(2y) + 2y = 90[/tex]
Hence, the equation would NOT help us solve for the length and width of the classroom is "[tex]x + 2y = 90[/tex]".
A rectangle has a perimeter of 58 inches. The length is five more than twice the width. Write and solve an equation to determine the width of the rectangle
Answers
Answer:
The width is 8 inches.
Step-by-step explanation:
Let the width be x. Per the question, the length should be 2x + 5. Set up a perimeter equation and solve for x.
I have attached the work to your problem.
Please see the attachment below.
I hope this helps!
I need help can anyone help me please
Answers
Answer:
56
Step-by-step explanation:
so a straight line has an angle that is 180 degrees
the angle on both sides of X are 64 and 60
so add those up u get 124
get the whole angle of 180 and subtract 124 and u get 56
Please answer correctly !!!!Will mark brainliest !!!!!!!!!!!!!!
Answers
Answer:
No solutions
Step-by-step explanation:
x + 2y and 2x + 4y are linear combinations of each other since 2 ( x + 2y ) = 2x + 4y.
However, since 2 ( x + 2y = 2 ) results in 2x + 4y = 4 and the second equation reads as 2x + 4y = -8, there is no solution to this system of equations since 4 does not equal -8.
Answer:
option B
Step-by-step explanation:
x+2y=2 ⇒x= 2- 2y2x+4y=-8 ⇒ 2(2-2y) +4y= -8 ⇒ 4-4y+4y= -8 ⇒ 4= -8 this is impossibleso no solutionsAnswer: option B
Use synthetic division to solve (x^3-x^2-17x-15) divided by (x-5). What is the quotient?
Answers
Answer:
The answer would be x^2+4x+3
Step-by-step explanation:
Answer:
A. x^2+4x+3!!!
just took it on edg!
Can you help plss and thank you
Answers
Answer:
Step-by-step explanation:
The area formula for a parallelogram is the same as the area formula for a rectangle or square. A = bh.
Our base is 5 1/4 and the height, which drops perpendicular to the base, is 4 1/5. So the formula for the area is
[tex]A=(4\frac{1}{5})(5\frac{1}{4})[/tex]
Choice D
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!!
Answers
Domain is just all x values
find the coordinate of F' after a reflection of the triangle about the line y = -x. Write your answer in the form of (a,b).
F is (3,5)
Answers
Answer & Step-by-step explanation:
When you are doing the reflection, y = -x, then the coordinates will go as follow...
(x, y) → (-y, -x)
So, (3, 5) will become (-5, -3).
So, the coordinate of F' would be (-5, -3)
I need help guys with this including steps ..
Answers
Answer:
1. When adding you just add the numbers from the same space so
3 7
10 45
2. Same as adding but the opposite
2 1 2
3 1 6
1 2 1
Step-by-step explanation:
Five out of six residents of Mayville have library cards. Which tool will best allow Darren to simulate this scenario and predict whether a randomly chosen resident has a library card?
Answers
Answer:
A number cube
Step-by-step explanation:
A coin a 5-sector spinner a number cube a bag of 11 marbles
A number cube is the best to simulate this scenario and predict whether a randomly chosen resident has a library card.
As Coin has only 2 outcomes "Head" and "Tail".
A 5-sector sector spinner has only 5 outcomes we need six outcomes.
A bag of 11 marbles has no differentiated with respect to colors etc.
Hence, A number cube is correct to chosen five out of six residents of Mayville have library cards.
Answer:
c
Step-by-step explanation:
Does anyone know how to do this type of shape/figure
Answers
Answer: I think it is b
Step-by-step explanation:
I want to know what is 600 minutes to days
Answers
Answer:
[tex]0.416667[/tex] of a day
Step-by-step explanation:
To get minutes to days you divide the minutes by the amount of minutes in a day which is 1440
[tex]\frac{600}{1440} \\0.416667[/tex]
Answer:
0.417 day
Step-by-step explanation:
First divide 600 by 60 the answer is 10 hours and then divide by 24 the answer would be 0.41666667 days
i need help i’ll mark u as brainlist if u can help me imma not good at mAtH
- thanks ✌︎('ω')✌︎
Answers
Answer:
x = 44-y
Step-by-step explanation:
She has 44 glasses. The number of glasses of lemonade, y, and the number of glasses of ice tea, x, totals 44
x+y = 44
We want the number of glasses of ice tea
x = 44-y
round 128.599 to 3 decimal places
Answers
Answer:
PLEASE APPRECIATE IT
Step-by-step explanation:
129
To eliminate the terms and solve for y in the tewest steps, by which constants should the equations be multiplied by before
adding the equations together?
Answers
Answer:
the equation is not shown...
Step-by-step explanation:
but to solve for y you should use the first equation that is use the coefficient of x in the first equation to multiply all the terms in the second equation.
And use the coeffient of x in the second equation to multiply the the terms in the first equation.
It would have been better if the equation was shown for better explanation.
There is a bag filled with 4 blue and 5 red marbles. A marble is taken at random fròm the bag,the colour is noted and then is replaced. Another marble is taken at random. What is the probability of getting 2 blues
Answers
Hi there!
Answer:
1/6
Explanation:
The first probability of getting blue is 4 out of the total marbles so 4/9.
The second time there are only 3 blue marbles out of 8 now so 3/8.
So the answer is 4/9X3/8
which equals 12/72 or 1/6
Hope this helps!
In science class, Liz learned that trees help make the oxygen that people breathe. One tree makes about 250 pounds of oxygen each year. Liz wonders how much oxygen the trees on her street make. When she gets home, she counts 32 trees on her street. How many tons of oxygen do they make in a year? tons
Answers
Answer: The answer is 8000 pounds, or 4 tons
Step-by-step explanation:
This is true because each tree makes about 250 pounds of oxygen. She counted 32 so.....
(32)(250)=8000
then convert 8000 pounds to tons and you get 4 tons
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!
Answers
Answer:
side of square is 2-x
Step-by-step explanation:
Area of the square is side * side or side ², so the expression for the side has to be square root of area
A = 4 -4x + x²
It should be recognized that 4 -4x + x²is a special product ( 2-x)² because this is a perfect square trinomial
side of square is 2-x
Which survey is biased?
A) Going to the mall and asking people what their favorite color is.
B) Going to the mall and asking people what their favorite place to shop is.
C) Going to the mall and asking people what television channel they watch most.
D) Going to the mall and asking people what radio station they listen to most often
Answers
Answer:
b
Step-by-step explanation:
alotta ppl go to the mall cuz they like to shop there, so if u ask ppl at the mall their fav place to shop, many will say "the mall"
Answer:
favorite place to shop i believe
Step-by-step explanation:
I'm sure it become a biased situation when you ask an answer similar to the surroundings.
Dan rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 3.
Answers
Answer: 2
Step-by-step explanation:
1+2, 2+1
Therefore, the probability of getting a total of three is 2
Probability of getting total of three when two fair dice rolled is equals to [tex]\frac{1}{18}[/tex] .
What is probability?" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes."
Formula used
Probability [tex]= \frac{Number of favourable outcomes}{Total number of outcomes}[/tex]
According to the question,
Dan rolls two fair dice,
Possible outcomes are [tex]= \{ (1,1), (1,2), (1,3) , (1,4). .........., ( 6,5), (6,6)\}[/tex]
Total number of outcomes [tex]= 36[/tex]
Condition given,
Favourable outcomes for total of [tex]3[/tex] [tex]= \{(1,2) , (2,1)\}[/tex]
Substitute the value in the formula of probability we get,
Probability of getting [tex]3[/tex]
[tex]= \frac{2}{36}\\\\= \frac{1}{18}[/tex]
Hence, probability of getting total of three when two fair dice rolled is equals to [tex]\frac{1}{18}[/tex] .
Learn more about probability here
brainly.com/question/11234923
#SPJ2
A triangular flag has a height of 16 inches and a base of 24 inches. Which formula represents how to find the area of the triangle?
2 points
A.
B.
C.
D.
Answers
Answer:
A= 1/2bh
Step-by-step explanation:
The answer is the Area= 1/2 * base * height
31 points!
Find x.
A: 8
B: √8
C: 16
D: 4√2
Answers
Answer:
Answer is (A) 8
Step-by-step explanation:
regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during the rotation?
Answers
Answer:
Step-by-step explanation:
because A regular octagon is a closed figure with sides of the same length and internal angles of the same size. so if it is rotated 360 degrees it should coincide with its preimage after every 45 degrees.
so 360/45= 8 times
Answer:
8 times
Step-by-step explanation:
An octagon has eight sides of equal length and eight angles of same measure. So, If it is rotated 360 degrees about its center. It would coincide with all of its 8 sides. So, it will coincide with it's pre-image 8 times.
In the word hippopotami. What fraction of the letters are Ps?
Answers
Answer:
3/11
Step-by-step explanation:
There are 11 letters in "hippopotami" and 3 of those letters are P, so the fraction of letters that are p is 3/11. Fractions are part of the whole and the part here is 3.
Answer:
3.3333333333333333333333
Please answer CORRECTLY !!!!!!!!!! Will mark BRIANLIEST !!!!!!!!!!
Answers
Answer:
x^2+8
Step-by-step explanation:
x+1*x+7
apply the function transformation of g(x)=f(x-2)+4 to f(x)=x^3-8. describe the transformation and find the final form of the function after the transformation
Answers
Answer:
g(x) = (x - 2)^3 - 4
Step-by-step explanation:
first, the function f is shifted to the right by 2 units and then shifted up by 4 units
