A movable section of stage has the shape of an isosceles right triangle. You need to apply 2 coats of paint to all but the bottom. The paint covers approximately 90 square feet per quart. How many quarts of paint do you need to buy? You need to buy quarts of paint.
Answers
Answer:
You need to buy 3 quarts of paint.
Step-by-step explanation:
Given
[tex]Coats =2[/tex]
[tex]Paint = 90ft^2/qt[/tex]
See attachment for stage
Required
Determine the number of quarts needed
First, we calculate the surface area of the stage (without the base).
This is calculated as:
Area = Area of Rectangle1 + Area of Rectangle 2 + 2 * Area of each triangle on both sides.
For the first rectangle, we have:
[tex]A_1 =Length * Width[/tex]
[tex]A_1 = 15.2 * 19.5 =296.4[/tex]
For the second rectangle, we have:
[tex]A_2 =Length * Width[/tex]
[tex]A_2 = 6* 19.5 = 117[/tex]
For each triangle on both sides
[tex]A_3 = 0.5 * Base * Height[/tex]
[tex]A_3 = 0.5 * 14 * 6 = 42[/tex]
So, the total area is:
[tex]Area = A_1 + A_2 + 2 *A_3[/tex]
[tex]Area = 296.4 + 117+ 2 *42[/tex]
[tex]Area = 497.4ft^2[/tex]
The amount of paint need is:
[tex]Amount = \frac{Area}{2\ coats}[/tex]
From the question, we understand that:
[tex]1\ coat =90ft^2/quart[/tex]
Multiply both sides by 2
[tex]2 * 1\ coat =90ft^2/quart * 2[/tex]
[tex]2 \ coats =180ft^2/quart[/tex]
So, we have:
[tex]Amount = \frac{Area}{2\ coats}[/tex]
[tex]Amount = \frac{497.4ft^2}{180ft^2/quart}[/tex]
[tex]Amount = \frac{497.4ft^2}{180ft^2}quart[/tex]
[tex]Amount = \frac{497.4}{180}quart[/tex]
[tex]Amount = 2.763\ quarts[/tex]
[tex]Amount \approx 3\ quarts[/tex] --- approximated
Related Questions
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
ALSO 50 POINTS!
Answers
Answer:
h = 12 m
[tex] v_{cylinder}= 235.5 \: {m}^{3} [/tex]
Step-by-step explanation:
Radius of cylinder (r) = 5/2 = 2.5 m
[tex] {h}^{2} = {13}^{2} - {5}^{2} \\ h = \sqrt{ {13}^{2} - {5}^{2} } \\ h = \sqrt{169 - 25} \\ h = \sqrt{144} \\ h = 12 \\ \\ v_{cylinder} = \pi {r}^{2} h \\ v_{cylinder}= 3.14(2.5) ^{2} (12) \\ v_{cylinder}= 235.5 \: {m}^{3} [/tex]
A pattern of ordered pairs is shown.
(0, 1), (2,4), (4,7), (6, 10)
The pattern continues. What is the eighth ordered pair in the pattern?
A. (8,13) B. (14, 18). C. (14, 22) D. (16, 19)
Answers
Answer: C
Step-by-step explanation:
X’s are going by +2 and y’s by +3
After identifying the pattern, its eighth ordered pair is: (14, 22), option C.
--------------------------
The ordered pairs given are: (0, 1), (2,4), (4,7), (6, 10)
From them, we can see that for each new ordered pair, x increases by 2, and y increases by 3.Thus, the next ordered pairs are: (8, 13), (10, 16), (12, 19), (14, 22).The eighth ordered pair is given by (14,22), option C.A similar problem is given at https://brainly.com/question/16599038
A recipe uses cups of milk to make servings. If the same amount of milk is used for each serving, how many servings can be made using gallon of milk?
Answers
Answer:
128 servings
Step-by-step explanation:
A recipe Uses 1 1/4 cups of milk to make 10 servings if the same amount of milk is used for each serving how many servings can be made using one gallon of milk
Cups of milk : number of servings = 1 1/4 cups : 10 servings
One gallon of milk = 16 cups
Let x = number of servings
Cups of milk : number of servings = 16 cups : x
Equate both ratios
1 1/4 : 10 = 16 : x
5/4 ÷ 10 = 16/x
5/4 × 1/10 = 16/x
5/40 = 16/x
1/8 = 16/x
Cross product
1 * x = 8 * 16
x = 128 servings
Number of servings = 128
Solve the following quadratic equation for all values of x in simplest form.
5x(x^2-4)+10=10
first person to answer right get branliest
people in com.ments who right get a tha.nks and fo.llow
Answers
Answer:
[tex]x=0,\:x=-2,\:x=2[/tex]
Step-by-step explanation:
Do you want me to explain it?
I need help wit math
Answers
Answer:
1/2
Step-by-step explanation:
Even numbers on the dice:
2, 4, 6
Probability of getting even:
3/6
1/2
Jan notes that 6 out of every 18 cars that pass her on the
highway are red. Which of the following is the best prediction of
how many red cars will pass Jan out of the next 54 cars that go
by?
A) 6
B) 18
C) 48
D) 54
Answers
Answer:
B) 18
Step-by-step explanation:
6 out of 18 is 6/18 = 1/3
1/3 x 54 = 18
A group of people are fundraising, and each person raises a certain amount of money for every mile they walk. Each person's fundraising is
represented below using d for the dollars that person raises and w for the miles that person walks
Answers
Answer:
lk
Step-by-step explanation:
on
3x-4=58 ////helllppppo
Answers
Answer:
-0.75
Step-by-step explanation:
Which of the following expressions is equivalent to (12x4−4x3+7x+6)+(3x2−4x+14)?
A
12x4−x3+3x+20
B
15x6−8x4+21x+6
C
15x6−4x3+3x+20
D
12x4−4x3+3x2+3x+20
Answers
Answer:
It believe its C
Step-by-step explanation:
how do i solve this question
Answers
Answer:
18.18
Step-by-step explanation:
total sum of angle of quadrilateral is 360
70+60+ 7x-4+4x-3=360
160-7 +11x =360
153 +11x =360
11x=360-153
x=207/11
x=18.18
A car is traveling at a constant speed of 60 miles per hour. Complete the table below to the distance that the car travels in hours.
Answers
The value for the first one is “d= 60t”
because that’s how much the car travels per hour.
The values for the second question is “450=60t” because 450 is the amount of miles the car traveled in total, and again the 60 is how many miles the car travels per hour.
Hope this helped!
Find the radius of the button
Answers
d=28
28/2=14
radius =14
Answer:
the radius is 14
Step-by-step explanation:
... ....ur welcome.........
since the diameter of it is 28 the radius is half of it
PLEASE help it’s due today at 10pm
Answers
Kirti bookstore sold books worth Rs.285891 in the first week of june and books worth Rs.400768 in the second week of the month .How much was the sale for two weeks together ? In which week was the sale greater and by how much?
Answers
Answer: A)Sale for two weeks =Rs. 686,659. b)\Kriti books had greater sales in the second week than the first by Rs.114877
Step-by-step explanation:
Price of books sold in the first week=Rs.285891
Price of books sold in the second week=Rs.400768
Total Amount of books sold in the two weeks=Rs.285891 +Rs.400768 =
Rs. 686,659.
Fro the question, we can see that Kriti books store has more sales in the second week.
Which is greater than in the first week by Rs.114877
Rs.400768 -Rs.285891 =Rs.114,877
In this problem a,b,c and d are nonzero integers. If a/b is added to x, the sum is c/d. Which statement can be used to prove that x must be a rational number.
A= x=cb-ad/bd B= x=cb+ad/bd C= x=c-a/d-b D= x= c+a/d-b
Answers
Answer:
x=cb-ad/bd
Step-by-step explanation:
The statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd
Prove of rational numberGiven nonzero integers:
a, b, c, d
If a/b is added to xa/b + x
the sum is c/da/b + x = c/d
prove x to be a rational number
a/b + x = c/d
subtract a/b from both sidesa/b + x - a/b = c/d - a/b
x = c/d - a/b
x = (cb - ad) / bd
Therefore, the statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd
Learn more about rational number:
https://brainly.com/question/12088221
No files no links or you’re going to get reported I’m giving 10 points so all I need is someone to help me
Answers
13 = 8x -15
28 = 8x
x = 3 1/2
Answer- A
2) barrel a; 5x+20
barrel b; 4.25x+32
Equal barrel weight: 5x+20=4.25x+32
5x=4.25x+12
0.25x=12
x=48
Answer: 48 shovels of dirt will make the two wheel barrels equal
Anyone know how to do this?
Answers
Answer:
y = -1/2 x + 25
The relationship is linear, but it takes some doing.
Step-by-step explanation:
Remark
This is a very interesting problem. I've never seen one quite like it. There is probably a much better way of solving it, but I did not discover it.
You have to introduce another variable which I labeled as z.
Let time = x
Let distance = y
Let the step away from the starting point = z which will be the same for x and y. So 18 and 16 the step away from the start is 3.
So as the time increases, the distance decreases. What we are going to do sort of resembles a parametric relationship.
t starts with 10
x = 10 + 4*(z - 1) and increases by 4 with each step
d starts with 20 and decreases by 2 with each step
y = 20 - (z - 1)*2
Now solve for z in each of the forgoing equations.
x = 10 + 4z - 4
x = 6 + 4z
x - 6 = 4z
(x - 6)/4 = z
y = 20 - 2z + 2
y = 22 - 2z
y - 22 = - 2z
(y - 22)/-2 = z
Since the zs must be kept the same, the left sides are equated
(x - 6)/4 = (y - 22)/-2 Cross multiply
-2(x - 6) = 4(y - 22) Remove the brackets.
-2x + 12 = 4y - 88 add 88 to both sides.
-2x + 100 = 4y Switch the sides
4y = - 2x + 100 Divide by 4
y = -1/2 x + 25
Now for sure you have to try this.
Let x = 14
y = -1/2 * 14 + 25
y = -7 + 25
y = 18
Try another one
Let x = 22
y = -1/2 * 22 + 25
y = - 11 + 25
y = 14
Those two at least check.
3 + 2x - y = 0, -3 - 7y = 10x}
Answers
Answer:
In point form:
( -1 , 1 )
In equation form:
x = − 1 , y = 1
What is the slope of the line passing through points (2, 1) and (5, 7)?
Answers
Answer:
(3, 6)
Step-by-step explanation:
(x1, y1) and (x2, y2)
x2 - x1, y2 - y1
(x*, x*)
(2, 1) and (5, 7)
5 - 2, 7 - 1
(3, 6)
Cockroaches can digest a wide range of substances, which makes them a(n) _____.
A.specialist species
B.generalist species
C.keystone species
D.indicator species
Answers
Answer:
specialist species
When heat energy is increased for a substance the ______?
HELP!!
Answers
Answer:
molecules speed up
Step-by-step explanation:
temperature has a strong affect of the movement of molecules
solve for x
3x - (8-x) = 47
Answers
how do you solve 10.50 X 8.5
Answers
Answer:
89.25
Step-by-step explanation:
because:
it just is
A camping store is having a summer sale. Stoves are being sold at 40% off. If the sale price is $57 what was the original price of the stove before the sale
Answers
Answer:
The original price was $142.5.
Step-by-step explanation:
40 ÷ 100 = 0.4
$57 ÷ 0.4 = $142.5
Therefore, $142.5 is our answer.
Answer:
142.5
Step-by-step explanation:
Let's say the original price of the store before the sale is x
so 40% x X = $57
40/100 (X ) =57
0.4 (X) = 57 ====> X = 57 / 0.4 = 142.5
The original price of the stove before the sale is $ 142.5
FOR REA PLEASE HELP ASAP
Answers
Answer:
16
Step-by-step explanation: -7 is the least number and 9 is the greatest. the range between -7 and 9 is 16
can i get help please so much :)
Answers
Median =75
Mode= 75
Range= 49
Answer:
Mean: 76.6 (rounded the original number- 76.571)
Median: 75
Mode: 75
Range: 49
Standard Deviation: 14.50 (i round it, original number- 14.4504)
Step-by-step explanation:
I calculated everything, please lemme know if any of it is wrong!
Please help me I dont really understand
(this is 12 year old math)
Answers
Answer:
S represents sasha and B represents brother.
Equation is s = b + 4
11
13
16
24
Step-by-step explanation:
Let s represent Sasha
Let b represent brother
Answer:
When B is 7, S is 3.
When B is 9, S is 5.
When S is 20, B is 24.
When S is 28, B is 32.
which value in the set (2,3,48,96) is a solution of the equation 24+x=72
Answers
Answer:
48
Step-by-step explanation:
24+x=72
Isolate x
24+x=72
-24 -24
x=48
A cylindrical can has a diameter of 8 inches and a height of 12 inches. Find the volume of the can, in cubic inches, rounded to the nearest whole number.
Answers
Answer:
The rounded answer would lead you to 603.
If this is wrong in sorry.
The volume of the cylinder will be [tex]V=602.88\ In^3[/tex]
What will be the volume of the cylinder?Given that
The diameter d=8 inches r= 4 inches
The height of the cylinder h=12 inches
the volume of the cylinder will be
[tex]V= \pi r^2h[/tex]
[tex]V=\pi\times (4)^2\times 12[/tex]
[tex]V=602.88\ Inch^2[/tex]
Thus the volume of the cylinder will be [tex]V=602.88\ In^3[/tex]
To know more about the Volume of cylinders follow
https://brainly.com/question/23935577
Please help me it’s due in 1 hour
Answers
Answer:
There were 39 children at the party
Step-by-step explanation:
Here, we want to know the number of children at the party
To do this, we have to add the y-values ( frequencies of the age grades)
We have this as;
8 + 8 + 7 +10 + 6 = 39
