The dimensions of the tank with minimum weight are 24*24*12 ft
What is rectangular tank?
There is a benefit to employing vertical cylindrical stores that are put behind the double glass as in the Trombe wall system because a rectangular tank that extends from floor to ceiling is relatively expensive to construct and must be constructed to withstand quite high hydraulic pressures.
The tank with minimum weight is the one with minimum surface area.
Let x= base width and base height
h= height of the tank
The volume of tank is :
v=hx²
substitute v=6912 ft³
6912=hx²
h= 6912/x²............(1)
Formula for the tank surface area is:
A=x²+4xh
On substituting h value and simplifying,
A=x²+(27.648/x)
Differentiate with respect to x and equate to zero
2x-(27.648/x²)=0
On simplifying,
x³=27648/2 = [tex]\sqrt[^3]{13824}[/tex]
x= 24
substitute x=24 into the equation 1
h= 6912/(24)²= 12 ft
So, the dimensions of the tank with minimum weight are 24*24*12 ft
To learn more about the rectangular tank from the given link
https://brainly.com/question/28520375
#SPJ4
79/15 en decimal???????????
Answer:
5.267
Step-by-step explanation:
Let's do long division to figure this out.
Answer: 5.26666666667
Step-by-step explanation:
If your asking for the decimal answer, than it is 5.26666666667, or you can round it to 5.3. :)
Factor
50t^2-20t-30=??
The answer is 10(t-1) (5t+3).
An algebraic equation of the second degree in x is a quadratic equation. Typically, a quadratic equation is expressed in standard form as,[tex]ax^2 + bx + c = 0[/tex].
And the factor is a number or algebraic expression that divides another number evenly without leaving any remainder.
To factor the given quadratic equation, first, take the common factor of the equation. Therefore,
[tex]50t^2-20t-30=10(5t^2-2t-3)[/tex]
Using the sum-product pattern, we can write 2t as 3t-5t. Therefore,
[tex]50t^2-20t-30=10(5t^2+3t-5t-3)[/tex]
Now, find the common factor between the pairs within the bracket. We get,
[tex]50t^2-20t-30=10(t(5t+3)-1(5t+3))[/tex]
Finally, rewriting the above terms by factoring out the greatest common factor, we get,
[tex]50t^2-20t-30=10(t-1)(5t+3)[/tex]
To know more about factoring quadratic equations:
https://brainly.com/question/1863222
Answer: 10 (5t+3) (t-1)
Step-by-step explanation:
Given, 50t²-20t-30
Here we take 10 as the common factor:
⇒ 10(5t²-2t-3)
Then, we use the sum-product pattern to divide the 2t into two parts:
⇒ 10(5t²-5t+3t-3)
Taking the common factor from the two pairs, we get:
⇒ 10 [5t(t-1) + 3(t-1)]
⇒ 10 (5t+3) (t-1)
Learn more about factors:
https://brainly.com/question/13114757
https://brainly.com/question/15412239
What is an angle that is adjacent to ∠BEC?
Please help!!!
Answer:
∠DEA
I think, adjacent means "next to, or adjoining something else."
Since ∠BEC, and ∠DEA are sharing point E, I think they are adjacent.
(I haven't done this kind of math in forever..)
What is the answer to this question
Answer:
m1 = 33 degrees ; m3 = 33 degrees
Step-by-step explanation:
m8 = m4 = 147 degrees
m4 + m1 = 180
147 + m1 = 180
m1 = 180 - 147
m1 = 33 degrees
m1 = m3 (vertical angles)
The table shown represents a linear relationship.
x 0 1 2 3
y −6 −4 −2 0
Based on the table, what is the equation of the linear relationship in slope-intercept form?
y = 2x + 6
y = 2x − 6
y = −2x + 3
y = −2x − 3
Answer: y=2x-6
Step-by-step explanation:
y=2x-6 is the equation of the linear relationship in slope-intercept form
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Let us take any two points from the given table
(1, -4) and (0, -6)
The slope is m=-6+4/-1
=-2/-1
m=2
Now let us find the y intercept
-4=2(1)+b
-4=2+b
-6=b
So the slope intercept form is y=2x-6
Hence, y=2x-6 is the equation of the linear relationship in slope-intercept form
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ2
Caterer A charges $15 per person and $100 to set up tables. Caterer B charges $20 per person and $50 to set up tables. For how many guests will the cost of Caterer A be the same as the cost of Caterer B? What is that cost?
Two intersecting lines graphed on a coordinate plane showing number of guests on the X-axis and cost in dollars on the y-axis. The lines intersect at the point, 10, 250.
Using equivalent equations to equate both caterer A and B need to serve 10 guests to have equal pay
Equivalent EquationEquivalent equations are systems of equations that have the same solutions. Equations are said to be equivalent when they have the same solution set. For example, x + 2 = 6 and 2x = 8 are equivalent equations, because when we solve each of them as follows, they have the same solution set: x + 2 = 6. Subtract 2 from both sides. x = 4.
In this case, we can set up two equations and equate them to know how many people they need to serve in order to earn equally.
For caterer A;
y = 15x + 100 ...eq(i)
y = 20x + 50 ...eq(ii)
For the equation to be equivalent, equation(i) and (ii) must be equal
15x + 100 = 20x + 50
x = 10
They both need to serve 10 guests to earn equally.
Learn more on equivalent equations here;
https://brainly.com/question/2972832
#SPJ1
3. Gwen and Julia are saving money to go to an amusement park. After looking at all the costs, they determine
they need at least $250 to go on the trip. Gwen walks dogs and Julia waters flowers to raise the money.
Gwen charges $3.50 each time she walks a dog. Julia charges $1.25 each time she waters the flowers. The
number of times Julia plans to water the flowers is no more than six times the number of dogs Gwen plans to
walk. Gwen plans to walk no less than 12 dogs.
Write a set of constraints to model the problem, with d representing the number of dogs walked and f
representing the number of times flowers were watered. You should write a total of 3 constraints.
The system of inequalities that models this situation is given as follows:
3.5x + 1.25y ≥ 250.y ≤ 6x.x ≥ 12.What is the system of inequalities?The variables of the system of inequalities are presented as follows:
Variable x: number of dogs walked by Gwen.Variable y: number of flowers watered by Julia.Gwen charges $3.50 each time she walks a dog. Julia charges $1.25 each time she waters the flowers, and they need to raise at least $250, hence the first constraint is of:
3.5x + 1.25y ≥ 250.
The number of times Julia plans to water the flowers is no more than six times the number of dogs Gwen plans to walk, hence:
y ≤ 6x.
Gwen plans to walk no less than 12 dogs, hence:
x ≥ 12.
More can be learned about a system of inequalities at https://brainly.com/question/9774970
#SPJ1
If f ( x ) = 3 log x and g( x ) = x 2 + 1, find g[ f ( x )]. (3logx)² + 1 3log(x² + 1) 3(x² + 1)logx.
If the function f (x) = 3 logx and g(x) [tex]=[/tex] x² + 1 , then the value of composite function g[f(x)] is (3logx)² + 1 , the correct option is (a) .
In the question ,
it is given that ,
the function f(x) is
f(x) [tex]=[/tex] 3logx
and the function g(x) is
g(x) [tex]=[/tex] x² + 1 ,
the value of the composite function g[f(x)] will be
g[f(x)] = g(f(x))
Substituting the value of f(x) = 3logx , we get
g(f(x)) = g(3logx)
Substituting the value of 3logx in the place of x in the function g(x) = x² + 1 ,
we get ,
= (3logx)² [tex]+[/tex] 1
Therefore , If the function f (x) = 3 logx and g(x) = x² + 1 , then the value of composite function g[f(x)] is (3logx)² + 1 , the correct option is (a) .
The given question is incomplete , the complete question is
If f ( x ) = 3 log x and g( x ) = x² + 1 , find the value of composite function g[ f ( x )] .
(a) (3logx)² + 1
(b) 3log(x² + 1)
(c) 3(x² + 1)logx
Learn more about Composite Functions here
https://brainly.com/question/2197898
#SPJ4
Find the measure of angle x in the figure below: Two triangles are shown such that one triangle is inverted and they share a common vertex. The lower triangle has two angles at the base. The lower left angle is marked as 45 degrees. The lower right angle is marked as 55 degrees. The angle at the vertex of the inverted triangle at the top is marked as x degrees. The angle at the vertex of the bottom triangle is marked as y degrees. 45° 80°
The 45° and 55° base angles of the triangle that share a vertex with the inverted triangle that have the vertex angle (at the shared vertex) marked x, indicates that x is 80°
What is a shared vertex?A shared vertex is a common point to two or more figures that is also a vertex to the figures that share the point.
The measure of the vertex angle of the triangle at the top which is inverted = x
The measure of the base angles of the triangle at the bottom are;
45° and 55°
The measure of the vertex angle of the triangle at the base = y
From the diagram of a similar question, angle x and angle y are vertical angles (angle x and angle y are formed by the intersection of two lines)
45° + 55° + y = 180° (angle sum property of a triangle)
The angle sum property of the interior angles of a triangle states that the sum of the interior angles of a triangle is 180°y = 180° - (45° + 55°) = 80° (subtraction property of equality)
y = 80°
x ≅ y (vertical angles theorem)
x = y (definition of congruent angles)
x = 80° (substitution property of equality)
The measure of angle x is 80°
Learn more about the angle sum property of a triangle here:
https://brainly.com/question/25215131
#SPJ1
a polyhedron has all faces triangles or quadrilaterals, and $1001$ edges. what is the difference between the maximum and minimum possible numbers of faces?
Using Euler'formula, the difference between maximum and minimum possible numbers of faces is 96.
A polyhedron is a 3D shape with flat faces, straight edges, and sharp vertices (corners). "polyhedron" meaning "many" and "polyhedron" meaning "area". Therefore, when many planes are joined, they form a polyhedron.
Because all faces are triangles. So on a triangular base with triangular faces on both sides that meet at the vertex.
Therefore, the minimum number of triangular faces of a regular polyhedron is = 4
Next, the double pyramid has "2n" triangular faces. where n is a natural number greater than 2 and 'n' represents the number of sides of the base of the pyramid.
A polyhedron having equal quadrilateral faces is known as regular hexahedron.
quadrilateral faced polyhedron with total sides 100 and vertices 6 , then using Euler's formula
F + V-E = 2
=> F + 6- 100= 2 => F = 96 maximum faces possible = 96
Now the difference between maximum and minimum number of faces = 100 - 4 = 96
So the difference between maximum and minimum faces is 96.
To learn more about Polyhedron, refer:
https://brainly.com/question/27231951
#SPJ4
Shelia it’s going to divide 836 inch piece of ribbon into five equal pieces. She says each piece will be 7 inch long. What is her mistake
Answer: Her mistake is that she would have to make each piece 167.2 inches long to have 5 equal pieces.
Step-by-step explanation:
7 * 5 ≠ 836
836/5 = 167.2
Choose an acre of land in Canada at random. The probability is 0.38 that it is forest and 0.07 that it is agricultural. What is the probability that the acre chosen is not forested? Enter your answer to two decimal places. probability: What is the probability that it is either forest or agricultural? Enter your answer to two decimal places probability: IS We provar a randomly chosen acre in Canada is something other than forest or agricultural? Enter your answer to two decimal places. probability:
Probability of chosen the acre of land as per given conditions are as follow:
a. Probability of chosen the acre of land not forested is 0.62.
b. Probability of chosen the acre of land either forest or agriculture is 0.45.
c. Probability of chosen the acre of land other than forest or agriculture is non-forested which is equal to 0.62.
As given in the question,
Given probability are:
Probability of chosen the acre of land is forest is equal to 0.38.
Probability of chosen the acre of land is agriculture is equal to 0.07.
Probability of chosen the acre of land as per given conditions are as follow:
a. Let P(A) represents the probability of chosen the acre of land is forest.
Then P(A') is the probability of not forested.
P(A) + P(A') = 1
⇒0.38 + P(A') = 1
⇒ P(A') = 1 - 0.38
⇒ P(A') = 0.62
b. Let P(G) is the probability of chosen acre of land agricultural.
No common land given for forest or agriculture, they are independent events.
P(A∩G) = 0
Probability of chosen the acre of land either forest or agriculture
= P( A or G)
= P(A) + P(G) - P(A∩G)
= 0.38 + 0.07 -0
= 0.45
c. Probability of chosen the acre of land other than forest or agriculture is non-forested which is equal to 0.62.
Therefore, probability of chosen the acre of land as per given conditions are as follow:
a. Probability of chosen the acre of land not forested is 0.62.
b. Probability of chosen the acre of land either forest or agriculture is 0.45.
c. Probability of chosen the acre of land other than forest or agriculture is non-forested which is equal to 0.62.
Learn more about probability here
brainly.com/question/11234923
#SPJ1
How many positive three-digit numbers are divisible by 4 but do not contain the digit 9?
Answer:
Step-by-step explanation:
Comment
How many 3 digit numbers are divisible by 4, but do not contain the digit nine?
If you know a computer language, then the main line would be
for x = 100 to 999 do
quadrilateral BLUE is rotated 270 degrees counterclockwise about the orgin and then translated along the vdctor <5,-2>. Which of the following conclusion is true about the transformation of quadrilateral BLUE
Options B and C are the following conclusions that are true about the transformation of quadrilateral BLUE.
What is a quadrilateral?A four-sided polygon having four edges and four corners is referred to as a quadrilateral in geometry. The name is a combination of the Latin words quadri, which is a variation of four, and latus, which means "side." It is sometimes referred to as a tetragon, which is derived from the Greek words "tetra" for "four" and "gon" for "corner" or "angle," in comparison to other polygons (e.g. pentagon). Because "gon" means "angle," it is sometimes referred to as a quadrangle or 4-angle.
Either simple (not self-intersecting) or complicated quadrilaterals exist (self-intersecting, or crossed). Convex or concave surfaces characterize simple quadrilaterals.
From the given figure,
The points in the quadrilateral BLUE are
B(-8,5), L(-5,5), U(-3,4), E(-6,1)
If the quadrilateral BLUE is rotated 270° then,
B(-8,-5), L(-5,-5), U(-3,-4), E(-6,-1)
Now, the image is reflected
So, the points are switched as,
B'(-5,-8), L'(-5,-5), U'(-4,-3), E'(-1,-6)
Distance of BE is,
√(x₂-x₁)²+(y₂-y₁)²
√(-1+5)²+(-6+8)²
=√16+4
=√20
Distance of B'E' is,
√(-6+8)²+(1-5)²
=√4+16
=√20
∴BE=B'E'
And the quadrilateral B'L'U'E' will be located entirely on third quadrant.
Therefore, B and C are the appropriate choices.
To know more about quadrilateral, visit:
https://brainly.com/question/13805601
#SPJ1
A cylindrical tin with one end open has diameter 140 mm and height 50mm . Calculate the area of the base and curved surface area [ Take π = 22/7]
The area of the base and curved surface area is 15400mm² and 22000 mm² respectively, of the cylindrical surface.
What is the cylindrical surface?
The amount of space that is covered by the curved surface and flat surface of a cylinder's bases is known as the cylinder's surface area. In addition to the area of the curved surface, the cylinder's total surface area also comprises the areas of its two circular bases. Units of surface area are stated as squares, such as square millimeters, square inches, square feet, and so on. Two circular bases joined by a curving face form a 3-D solid object known as a cylinder.
The curved surface area of a cylinder is 2πrh
A = 2 * 22/7*140/2*50
A = 22000 mm²
The base are will be π r²
B= 22/7 * 140/2*140/2
B= 15400mm²
Hence the area of the base and curved surface area is 15400mm² and 22000 mm² respectively.
Learn more about cylindrical surface, by the following link.
https://brainly.com/question/20720526
#SPJ1
Greg collected cash donations for a local food bank as part of a service project. He collected
$400 altogether. He had expected to collect 37.5% less than that. How much money had
Greg expected to collect?
Answer:
$250
Step-by-step explanation:
He expected to collect 37.5% less than $400.
First, we find 37.5% of $400.
Then we subtract that amount from $400.
37.5% of $400 is:
37.5% of $400 = 0.375 × $400 = $150
Now, subtract $150 from $400:
$400 - $150 = $250
Answer: $250
what is the factorisation of x2 + 2x
The GCF: x
answer: x(x+2)
Two triangles are shown in the figure. are the triangles similar, and why?
Answer:Yes, the obtuse angles for both triangles are equailateral
Step-by-step explanation:
3/5 of 45 step by step
Answer:
27
Step-by-step explanation:
45/5=9
9*3=27
Answer: 27
Step-by-step explanation:
45/5=9
9x3=27
A block of wood is 0. 4 m by 0. 2 m by 0. 7 m. Find its dimensions in centimeters. Then find its volume in cubic centimeters.
The dimension of the wood block in centimeter is 40cm by 20cm by 70cm , the volume is 56000 cubic centimeters .
In the question ,
it is given that ,
the dimension of the block of wood is 0.4m by 0.2m by 0.7m ,
that means
the length of the wood block = 0.4 m
we know that 1 m = 100 cm , So 0.4 m = 40 cm
0.2 m = 20 cm
and
0.7 m = 70 cm
So , the length of the wood block = 40 cm
the width of the wood block = 20 cm
the height of the wood block = 70 cm
The Volume of the wooden block = length × width × height
Substituting the values , we get
Volume = 40 × 20 × 70
= 56000 cm³
Therefore , The dimension of the wood block in centimeter is 40cm by 20cm by 70cm , the volume is 56000 cubic centimeters .
Learn more about Volume here
https://brainly.com/question/191151
#SPJ4
Determine whether the linear relationship is a direct variation. If so, state the constant of variation. PLEASE HELP!
Answer:
Yes, it is a direct variation. The constant of variation is 4
Step-by-step explanation:
As y changes by 20, x changes by 5
[tex]\frac{20}{5}[/tex] = 4
CORE
SKILL
If (8x) ≥ 2, which of the following inequalities must be true?
(A) x ≤ 1
(B) x ≤-1 or x ≥1
(C)-1≤x≤1
(D) x ≤-1 or x ≥ 0
(E)-1≤x≤2
4
Using the given inequality we can calculate that this is equivalent to
(B) x ≤-1 or x ≥1
The given inequality is |8x| ≥ 2 .
Now we have to solve this inequality to find the range of the value of x.
|8x| ≥ 2
now we will try to remove the modulus function.
either 8x ≥ 2 ⇒ x ≥ 1/4
or, -8x ≥ 2 ⇒ x ≤ -1/4
Therefore the solution of the inequality is x ≤ -1/4 or x ≥ 1/4
Now of the given options the most plausible option or inequality that also satisfies this inequality is given by B) x ≤-1 or x ≥1
In mathematics, an inequality is a connection that makes an unequal comparison between two numbers and maybe other mathematical expressions. On the number line, size comparisons between two numbers are typically conducted.
To learn more about inequality visit:
https://brainly.com/question/17557685
#SPJ1
A bank is advertising the following savings account.
Interest Rate = 8 %
Interest paid every 6 months.
Calculate AER on this savings account. Give your answer as a percentage correct too 2 decimal places.
The AER on the savings account, based on the interest rate and the period it is paid is 8.16%
How to find the AER?The AER stands for Annual Equivalent Rate which shows the periodic rate of an interest rate, based on the number of compounding periods of the savings account or investment.
The formula for Annual Equivalent Rate (AER) is:
= ( 1 + interest rate / number of payment or compounding periods) ^ number of payment or compounding periods - 1
The AER on the savings account is therefore:
= ( 1 + 8% / 2 semi annual periods) ² - 1
= 0.0816
= 8.16%
Find out more on Annual Equivalent Rate (AER) at https://brainly.com/question/28326552
#SPJ1
Pls help will give crown lumber yard problem fyi
The function for the arithmetic sequence (fn) = 8n
The domain is {1,2,3,…10}
An arithmetic sequence is a series of numbers in which each term (save the first) is obtained by adding a constant number to the preceding term. For example, 2, 4, 6, 8,... is an arithmetic sequence because each term is created by adding 2 (a constant integer) to the previous term.
Given that
The arithmetic sequence is 8, 16, 24, 32, 40, 48, 56
Common difference = 16-8 = 8
The sequence is increasing so the common difference is positive 8
fn = 8 + (n-1)d
fn = 8 + (n-1)8
fn = 8 + 8n – 8
fn = 8n
So the function for the arithmetic sequence (fn) = 8n
b. The points to the graph are represented by (nfn). So the points are (1,8);(2,16);(3,24);(4,32);(5,40);(6,48);(7,56)
The domain of the function is the number 10
So, the domain is {1,2,3,…10}
To learn more about arithmetic sequences visit
https://brainly.com/question/6911789
#SPJ1
What is the rectangular form of 17(cos(315°) + isin(315°))?
(17√2)/2 - (17√2)/2i
(17√2)/2 + (17√2)/2i
-(17√2)/2 - (17√2)/2i
-(17√2)/2 + (17√2)/2i
The complex number in rectangular form is 17√2 / 2 - i 17√2 / 2. (Correct choice: A)
What is the rectangular form of a complex number in polar form?
In this problem we have a complex number in polar form, whose formula is described below:
z = r · (cos θ + i sin θ)
Where:
r - Norm of the complex number.θ - Direction of a complex number, in degrees.And the rectangular form of the complex number is represented by:
z = a + i b, where a = r · cos θ and b = r · sin θ.
If we know that r = 17 and θ = 315°, then the rectangular form of the complex number is:
a = 17 · cos 315°
a = 17√2 / 2
b = 17 · sin 315°
b = - 17√2 / 2
The rectangular form of the complex number is 17√2 / 2 - i 17√2 / 2.
To learn more on complex numbers: https://brainly.com/question/28007020
#SPJ1
Divide 180 kg in the ratio 1:2:3:4
Step-by-step explanation:
1+2+3+4+5=15
180÷15=12
12x1=12
12x2=24
12x3=36
12x4=48
12x5=60
I really need this answered please
For the first problem you need to find the measures for 1 and 2.
The other 2 problems you need to find the values of each variable
Answer:
1) 1 = 120 degrees and 2 = 60 degrees
2) x = 25
3) p = 32
Step-by-step explanation:
1) Angle 1 is 120 degrees, since it is congruent to the corresponding angle below it (because lines a and b are parallel) Angles 1 and 2 are supplementary, meaning they add up to 180, so to find angle 2 we do 180 - 120 to get 60. Angle 1 = 120 degrees and angle 2 = 60 degrees.
I did 2 and 3 on paper, let me know if anything is confusing :))
2) the two lines are parallel, so we know those two angles are congruent since they're corresponding. If they're congruent we can just set them equal to each other to find x. x = 25.
3) the little square mark means a right angle, which is 90 degrees. The two lines are parallel, so we know that the angle below is corresponding and congruent to 90 degrees. So to find p, set 3p - 6 equal to 90. p = 32.
if anythings confusing let me know :-)
What is the polar form of -2√3 -6i? Help!
2√6 (cosine (2π/3) + i sine (2π/3) )
4√3 (cosine (2π/3) + i sine (2π/3) )
2√6 (cosine (4π/3) + i sine (4π/3) )
4√3 (cosine (4π/3) + i sine (4π/3) )
The polar form of the complex number z = - 2√3 - i 6 is z = (4√3) · (cos 4π / 3 + i sin 4π / 3). (Correct choice: D)
What is the polar form of a complex number in rectangular form?
Complex numbers are numbers of the form z = a + i b, where a and b are real numbers. This form is known as rectangular form. The polar form equivalent to that number is:
z = r · (cos θ + i sin θ)
Where:
r - Norm of the complex number.θ - Direction of the complex number, in radians.The norm and the direction of the complex number are, respectively:
r = √(a² + b²)
θ = tan⁻¹ (b / a)
If we know that a = - 2√3 and b = - 6, then the polar form of the complex number is:
r = √[(- 2√3)² + (- 6)²]
r = 4√3
θ = tan⁻¹ [(- 6) / (- 2√3)]
θ = 4π / 3
z = (4√3) · (cos 4π / 3 + i sin 4π / 3)
To learn more on polar form of complex numbers: https://brainly.com/question/24245821
#SPJ1
Calculate the amount of paint needed to paint the front of this building knowing that 0.5 kg of paint is needed per m^2
The amount of paint needed to paint the front of the building knowing that 0.5 kg of paint is needed per m^2 is 20 kg.
We know that,
Area of rectangle = L * W
where L = Length of the rectangle
and W = Width of the rectangle.
Area of triangle = 1/2 * B * H
where B = Base of the triangle
and H = Height of the triangle.
From the figure, we are given;
The front of the building has two rectangles that represent the floor and one triangle.
The rectangles are of the same size and it's given;
L = 8 m
W = 4 m
Area of rectangle = L * W = 8 * 4 = 32 m^2
The dimension of the triangle is:
B = 8 m
H = 2 m
Area of triangle = 1/2 * B * H = 1/2 * 8 * 2 = 8 m^2
The total area of the front of the building = 32 + 8 = 40 m^2
Amount of paint required
= total area of the front of the building * paint is needed per m^2
= 40 * 0.5 = 20 kg
So, 20 kg of paint is needed.
Thus, the amount of paint needed to paint the front of the building knowing that 0.5 kg of paint is needed per m^2 is 20 kg.
To learn more about rectangle visit:
https://brainly.com/question/27722891
#SPJ1
Find the valeu of x.
X=
x(x+4)
148
Answer:
4 or -8
Step-by-step explanation:
180-148=x(x+4)
32=x^2 + 4x
x^2 +4x - 32
x = 4 or -8