The solution to the given problem of the unitary method comes out to be Plan A and Plan B thus lasting for a total of 1.25 hours each.
What is a unitary method?Finish the project using the tried-and-true basic methodology, the actual variables, and any pertinent knowledge you gain from the broad and specific questions. In response, customers might be given another opportunity to sample the expression the products. We'll miss out on important breakthroughs in programming comprehension if these changes don't take place.
Here,
Let's say that Plan A's duration is "a" hours and Plan B's duration is "b" hours.
=> Equation 1: 6a + 2b = 10.
=> Equation 2: 3a + 5b = 10.
To get rid of "a," multiply Equation 1 by 3 and Equation 2 by 6 and you get:
=> Equation 3: 18a + 6b = 30
=> Equation 4: 18a + 30b = 60
Equation 3 minus Equation 4 results in:
=> 24b = 30
When we multiply both sides by 24, we get:
=> b=30/24=5/4=1.25 hours.
The value of "b" can now be reinserted into Equation 3 to find "a":
=> 18a + 6(1.25) = 30
=> 18a + 7.5 = 30
=> 18a = 30 - 7.5
=> 18a = 22.5
When we multiply both sides by 18, we get:
=> if a = 22.5/18 then 1.25 hours.
Plan A and Plan B thus last for a total of 1.25 hours each.
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Could
7.7
cm
,
4.0
cm
,
7.7 cm,4.0 cm,7, point, 7, start text, space, c, m, end text, comma, 4, point, 0, start text, space, c, m, end text, comma and
1.7
cm
1.7 cm1, point, 7, start text, space, c, m, end text be the side lengths of a triangle?
Choose 1 answer:
yes
or
no?
By triangle inequality theorem 7.7 cm,4.0 cm, 1.7 cm can not sides of the triangle.
We know that the triangle inequality theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.
For example, is a, b and c be sides of triangle then a + b ≥ c.
Here, the sides of triangle are: 7.7 cm, 4.0 cm, 1.7 cm
Let a = 7.7 cm,
b = 4.0 cm,
c = 1.7 cm
consider the sum of sides b and c.
b + c = 4. 0 + 1.7
b + c = 5.7 cm
which is not greater than 7.7 cm (length of side 'a')
This means that, by triangle inequality theorem 7.7 cm,4.0 cm, 1.7 cm can not sides of the triangle.
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The complete question is:
Could 7.7 cm,4.0 cm, 1.7 cm be the side lengths of a triangle?
Edge lengths are given in units. Find the surface area of each prism in square units.
the area of given figure made from two part Parallelogram and Triangle is 288sq cm
what is Parallelogram and Triangle?A parallelogram is a four-sided shape with opposite sides that are parallel and equal in length. The opposite angles of a parallelogram are also equal in measure. Parallelograms can have various orientations, but their opposite sides will always be parallel.
A triangle, on the other hand, is a three-sided shape with three angles and three vertices. The sum of the angles in a triangle is always 180 degrees. Triangles can come in various shapes and sizes, such as equilateral (all sides and angles are equal), isosceles (two sides and two angles are equal), and scalene (all sides and angles are different).
According to given informationgiven that
1st part:
Base=6cm
height=8cm
Area=1×Base×Height/2
Area=(1×6×8)cm²/2
Area=24cm²
it have two part so, Area=2×24=48sq cm
2nd part:
if we assume Parallelogram
Area=Base×Height
Area=15cm×8cm
Area=120 sq unit
it have two part so,2×120sq cm
240sq unit
total area of given figure is 48 sq cm+240sq cm=288 sq unit.
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Solve for x. Type your answer as a number in the blank without "x=".
The value of x is given as follows:
x = 5.
What is the triangle midsegment theorem?The midsegment of a triangle is the line segment that connects the midpoint of two sides of the triangle. The Triangle Midsegment Theorem states that the midsegment of a triangle is parallel to the third side of the triangle, and its length is equal to half the length of the third side.
Thus the equation relating the lengths in this problem is given as follows:
3x + 11 = 2(x + 8)
3x + 11 = 2x + 16
x = 5.
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Find the area of the parallelogram.
Answer: 252cm^2
Step-by-step explanation:
Find height of parallelogram using the triangle.
[tex]a^2+b^2=c^2\\(9)^2+b^2=(15)^2\\b^2=114\\b=12[/tex]
Now that we have the height, we can fnd the area of the parallelogram using A=bh.
A = (12)(21)
A =252cm^2
What is an equation of the line that passes through the points (6,4) and (-5,4)?
Hello and Greetings Brainly users.
Answer:The equation of the line that passes through the points (6,4) and (-5,4) is y = 4 , since it is a horizontal straight line through the values of y = 4.Step-by-step explanation:This is an exercise in "Equation of the line that passes through two points". The equation of a line is a mathematical formula used to describe a straight line in a Cartesian plane.
To find the equation of a line that passes through two points, you must first calculate the slope using the formula: m = (y₂ - y₁) / (x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are the given points. Then, the point-slope form of the equation of the line is used to obtain the equation of the line: y - y₁ = m(x - x₁).
By solving this equation, we can obtain the equation of the line that passes through two points. If the slope of the line is zero, as in the case of two points lying on the same horizontal line, then the equation of the line is simply a horizontal line at y = k, where k is the y-coordinate of the points.
As it tells us, we first need to calculate the slope of the line.Applying the following formula:
m = (y₂ - y₁) / (x₂ - x₁)
where m is the slope of the line.
We find that the points are:
x₁ = 6 , y₁ = 4
x₂ = -5 , y₂ = 4
We substitute the data in the formula and solve:
m = (y₂ - y₁) / (x₂ - x₁)
m = (4 - 4)/(-5-6)
m = 0/-11
m = 0
Now, we can use the point-slope form of the equation of the line to obtain the equation of the line:
y - y₁ = m(x - x₁)Where m = 0 and (x₁, y₁) is one of the two given points. We can choose any of the two points, but for this we will choose (6,4).
So, substituting the values we have, we have:
y - 4 = 0(x - 6)
Simplifying, we arrive at:
y - 4 = 0
y = 4
The equation of the line that passes through the points (6,4) and (-5,4) is y = 4 , since it is a horizontal straight line through the values of y = 4.
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DUE FRIDAY PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!! 20 POINTS
Students in a high school mathematics class decided that their term project would be a study of the strictness of the parents or guardians of students in the school. Their goal was to estimate the proportion of students in the school who thought of their parents or guardians as “strict”. They do not have time to interview all 1000 students in the school, so they plan to obtain data from a sample of students.
1. Describe the parameter of interest and a statistic the students could use to estimate the parameter.
2. Is the best design for this study a sample survey, an experiment, or an observational study? Explain your reasoning.
3. The students quickly realized that, as there is no definition of “strict”, they could not simply ask a student, “Are your parents or guardians strict?” Write three questions that could provide objective data related to strictness.
4. Describe an appropriate method for obtaining a sample of 100 students, based on your answer in question 1.
Answer:
1. The parameter of interest is the proportion of students in the school who think of their parents or guardians as “strict”. A statistic that the students could use to estimate the parameter is the proportion of students in their sample who think of their parents or guardians as “strict”.
2. The best design for this study is a sample survey. An experiment would involve manipulating the parents' behavior and observing the effect on the students, which is not ethical. An observational study would only observe the behavior without manipulation, but it is not clear what behavior to observe in this case.
3. Here are three questions that could provide objective data related to strictness:
How often are your parents or guardians late to pick you up from school or activities? How often do your parents or guardians check your homework or schoolwork? How often do your parents or guardians allow you to go out with friends on school nights?4. An appropriate method for obtaining a sample of 100 students is random sampling. The students could assign each student in the school a number, and then use a random number generator to select 100 numbers. They could then survey the students corresponding to those numbers. Another method could be stratified sampling, where the students divide the school into groups based on grade level, and then randomly sample a proportionate number of students from each group.
PLEASE IM BEGGING GET THIS RIGHT. RIGHT ANSWER GETS 30 POINTS AND BRAINLIEST. THIS IS DUE IN 5 MINUTES ‼️‼️‼️‼️‼️‼️‼️
The area of the composite figure is 84.85 square units
How to find the area of the composite figureThe area of the composite figure is solved by breaking it up and adding together
To find the area of a semicircle of diameter 8, we first need to find the radius of the semicircle, which is half of the diameter:
radius = diameter / 2 = 8 / 2 = 4
area of semicircle = (1/2) * pi * radius^2
= (1/2) * pi * 4^2
= 8 pi
Now, let's find the area of the parallelogram. The area of a parallelogram is given by the formula:
area of parallelogram = base * height
In this case, the base is 10 and the height is 6, so we have:
area of parallelogram = 10 * 6
= 60
total area = area of semicircle + area of parallelogram
= 8 pi + 60
= 60 + 8 pi (in exact form) or approximately 84.85 (rounded to two decimal places)
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Are 90 degrees (clockwise) and -270 degrees (counter clockwise) coterminal? WHY or why not?
Yes, 90 degrees (clockwise) and -270 degrees (counterclockwise) are coterminal angles.
What are coterminal angles ?Two angles are coterminal if they share the same terminal side when drawn in standard position. In other words, coterminal angles differ by an integer multiple of 360 degrees.
To see if 90 degrees and -270 degrees are coterminal, we can add 360 degrees to the smaller angle (-270 degrees) and see if we get the other angle:
-270 + 360 = 90
Since we obtain 90 degrees after adding 360 degrees to -270 degrees, these two angles are coterminal. They share the same terminal side in standard position, even though their rotations have different directions (clockwise and counterclockwise).
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What is 6×28. Please show me a picture. This is my homework. My teacher requires a picture for my homework and I love that stuff and it would really help me out. Thanks.
Answer: Im sorry i dont have a picture :( but the awnser to your problem is (168)
Step-by-step explanation:
How do you write a linear approximation (equation of the tangent) and use it to approximate the value of a function)
The linear approximation of [tex]f(x) = x^2 at x = 3.5 is f(3.5)[/tex] ≈ 9.5.
To write a linear approximation (equation of the tangent) and use it to approximate the value of a function, we can follow these steps:
Choose a point on the function where you want to approximate the value.
Let's call this point (a, f(a)).
Find the slope of the tangent line at that point using the derivative of the function at that point.
The slope of the tangent line is equal to the derivative of the function at that point, which is denoted by f'(a).
Write the equation of the tangent line using the point-slope form, which is given by: y - f(a) = f'(a)(x - a)
Use this equation to approximate the value of the function at a nearby point.
Plug in the value of x that is close to a into the equation and solve for y. The resulting y-value will be an approximation of the value of the function at the nearby point.
For example, suppose we want to approximate the value of [tex]f(x) = x^2 at x = 3.[/tex]
We can follow these steps:
Choose the point (3, f(3)) = (3, 9) on the function.
Find the slope of the tangent line at x = 3 using the derivative: f'(x) = 2x, so f'(3) = 6.
Write the equation of the tangent line using the point-slope form: y - 9 = 6(x - 3), which simplifies to y = 6x - 9.
Use this equation to approximate the value of f(x) at x = 3.5: f(3.5) ≈ 6(3.5) - 9 = 9.5.
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PLS HELPPPPPPP I WILL GIVE 40 PTSSSSS AND BRAINLYEST IF YOU HELP GOOD AND FOOL ANSWERS WILL BE REPORTED
The surface area of the prism is 78 square units, which corresponds to option A.
How to solve for the surface areaYou provided three dimensions: 5 units, 3 units, and 3 units. I assume these are the dimensions of a rectangular prism.
Let's label the dimensions: length (l) = 5 units, width (w) = 3 units, and height (h) = 3 units.
There are two bases, and their areas are equal:
Base Area = l * w = 5 * 3 = 15 square units
There are also three pairs of lateral faces. The areas of the lateral faces are:
Two faces with dimensions l and h: 2 * (l * h) = 2 * (5 * 3) = 30 square units
Two faces with dimensions w and h: 2 * (w * h) = 2 * (3 * 3) = 18 square units
Now, add the areas of all the faces together:
Surface Area = Base Area * 2 + Lateral Area = 15 * 2 + 30 + 18 = 30 + 30 + 18 = 78 square units
So, the surface area of the prism is 78 square units, which corresponds to option A.
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A boutique sells blouses and purses. The blouses cost $28 each and the purses cost $39 each. On a certain day the store sells three times as many blouses as purses. If the store sold $1107 worth of these two items on that day, how many of each were sold
Thus, the store sold 9 purses and 27 blouses on that day, and the total revenue from selling these items was $1107.
To solve this problem, we need to use algebraic equations. Let's start by assigning variables to the unknown quantities. Let x be the number of purses sold and y be the number of blouses sold.
From the problem, we know that the blouses cost $28 each and the purses cost $39 each. Therefore, the total revenue from selling x purses and y blouses is given by:
Revenue = 28y + 39x
We also know that the store sold three times as many blouses as purses. Therefore, we can write:
y = 3x
Now we can substitute y = 3x into the revenue equation and solve for x:
1107 = 28y + 39x
1107 = 28(3x) + 39x
1107 = 84x + 39x
1107 = 123x
x = 9
So the store sold 9 purses. To find the number of blouses, we can use the equation y = 3x:
y = 3x = 3(9) = 27
Therefore, the store sold 27 blouses.
In summary, the store sold 9 purses and 27 blouses on that day, and the total revenue from selling these items was $1107.
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please answer correctly
The location of point P within line segment AB is (8.333, - 6.667).
How to find the coordinates of a point within a line segment
Herein we find the a line segment whose endpoints are A(x, y) = (10.2, - 6) and B(x, y) = (4.6, - 8), in which we must locate the point P. This can be done by following line segment AB:
P(x, y) = A(x, y) + (2 / 6) · [B(x, y) - A(x, y)]
P(x, y) = (10.2, - 6) + (2 / 6) · [(4.6, - 8) - (10.2, - 6)]
P(x, y) = (10.2, - 6) + (1 / 3) · (- 5.6, - 2)
P(x, y) = (10.2, - 6) + (- 1.867, - 0.667)
P(x, y) = (8.333, - 6.667)
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A two-digit number is such that the sum of the digits is 13 and the product of the digits is 40. Find the number.
Answer: Either 58 or 85
Step-by-step explanation:
5 + 8 = 13
8 + 5 = 13
5 x 8 = 40
8 x 5 = 40
A grocery store sells a bag of 6 oranges for $4. 80. If Austin spent $8. 00 on oranges, how many did he buy
Answer:
10 oranges
Step-by-step explanation:
We Know
A grocery store sells a bag of 6 oranges for $4.80
4.80 / 6 = $0.80 for one orange
If Austin spent $8.00 on oranges, how many did he buy?
We Take
8 / 0.80 = 10 oranges
So, he bought 10 oranges.
Solve for X. Round to the nearest tenth
Answer:
x=7.9*tan(54°)=10.87
Solve for x. Type your answer as a number in the blank without "x=".
Answer:
17
Step-by-step explanation:
The midpoint theorem states that “The line segment in a triangle joining the midpoint of any two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”
therefore 2(x+5) = 3x-7
distribute
2x+10 = 3x-7
subtract 2x from both sides
2x+10 -2x = 3x-7 -2x
x-7 = 10
add 7 to both sides
x- 7 +7 = 10 + 7
x = 17
Answer:
Step-by-step explanation:
I think you are in 11th grade
we can use the theorem midpoint theorem.
as the mid-point theorem,
2(x+5)=3x-7
2x+10=3x-7
x=17
I really love your profile picture, is it real?
solve the equation for x give the best answer
Answer:
x = 7.5
Step-by-step explanation:
3(x + 4.5) = 36
Distributive property
3x + 13.5 = 36
Isolate the x, Subtract 13.5 from both sides
3x = 22.5
Divide both sides by 3
x = 7.5
can yall please help me with this?
The answer for the given equation is 5x-4.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
What is operation?Some algebraic expressions use the same variables raised to the same exponents for like terms in the equation. Similar phrases remain constant. We initially formulate an expression as the sum of its terms in order to locate the terms and the similar terms in it.
An algebraic expression is considered to be in its simplest form when it doesn't contain any brackets or like terms. We employ the distributive property to add or subtract coefficients that are linked to variables.
according to question,
= -(x+4)+6x
= -x-4+6x
=5x-4
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Select all expressions that are equivalent to -3.75+ 2(-4x +6.1) - 3.25x
A. 7x-2x +8.2
B.8.45-8x-3.25x
C.-1.75-7.25x=6.1
D.-11.25x +12.2 - 3.75
Answer: B and D.
Step-by-step explanation: We can simplify the expression -3.75+ 2(-4x +6.1) - 3.25x as follows:
-3.75+ 2(-4x +6.1) - 3.25x
= -3.75 - 8x + 12.2 - 3.25x (distributing the 2)
= -11.25x + 8.45 (combining like terms)
Now, let's check each expression to see if it is equivalent to -11.25x + 8.45:
A. 7x-2x +8.2
= 5x + 8.2
Not equivalent to -11.25x + 8.45
B. 8.45-8x-3.25x
= 8.45 - 11.25x
Equivalent to -11.25x + 8.45
C. -1.75-7.25x=6.1
This is not an expression, it is an equation. It is not equivalent to -11.25x + 8.45.
D. -11.25x +12.2 - 3.75
= -11.25x + 8.45
Equivalent to -11.25x + 8.45
Therefore, the expressions that are equivalent to -3.75+ 2(-4x +6.1) - 3.25x are B and D.
Create two different algebraic expressions involving c and d that are worth 24.
c = 4.25
d = 3.75
Answer:
2c + 3d = 24. For c = 4.25 and d = 3.75, we have 2(4.25) + 3(3.75) = 8.5 + 11.25 = 19.75
and
c^2 + d^2 = 24. For c = 4.25 and d = 3.75, we have 4.25^2 + 3.75^2 = 18.0625 + 14.0625 = 32.125
Step-by-step explanation:
There are many possible algebraic expressions involving c and d that are worth 24, but two possibilities are:
2c + 3d = 24. For c = 4.25 and d = 3.75, we have 2(4.25) + 3(3.75) = 8.5 + 11.25 = 19.75, which is not equal to 24. Therefore, this expression is not true for the given values of c and d.
c^2 + d^2 = 24. For c = 4.25 and d = 3.75, we have 4.25^2 + 3.75^2 = 18.0625 + 14.0625 = 32.125, which is not equal to 24. Therefore, this expression is also not true for the given values of c and d.
It is important to note that there are many
10. In the first circle below write the last letter of the first word beginning with "L".
00000
11. Cross out the number necessary, when making the number below one million.
10000000000
12. Draw a line from circle 2 to circle 5 that will pass below circle 2 and above circle 4.
00000
13. In the line below cross out each number that is more than 20 but less than 30.
31 16 48 29 53 47 22 37 98 26 20 25
The final answers are given below
[tex]10.[/tex]L
[tex]11.[/tex] [tex]3[/tex] (the number should be [tex]1,000,000[/tex], which has six zeros)
[tex]00000[/tex]
[tex]12[/tex] | |
[tex]00000[/tex]
|
[tex]00000[/tex]
[tex]15. 31 16 48 29 53 47 22 37 98 26 2025[/tex]
What do you mean by number?A number is an arithmetic value that is used to calculate and represent a quantity.
The numbers that are more than [tex]20[/tex] but less than [tex]30[/tex] are [tex]22[/tex] and [tex]26[/tex], so they should be crossed out:
[tex]31 16 48 29 53 47[/tex] X [tex]37 98[/tex] X [tex]2025[/tex]
Therefore the answers are given below.
[tex]10.[/tex]L
[tex]11.[/tex] [tex]3[/tex] (the number should be [tex]1,000,000[/tex], which has six zeros)
[tex]00000[/tex]
[tex]12[/tex] | |
[tex]00000[/tex]
|
[tex]00000[/tex]
[tex]15. 31 16 48 29 53 47 22 37 98 26 2025[/tex]
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Find the equation of the line shown ?
Answer:
y=2x+3
Step-by-step explanation:
find x
look for points (2,7), (3,9), (0,3)
(x2-x1), (y2-y1)
x - distance from 7 and 9: (9-7=2)
y - distance from 2 and 3: (3-2=1)
Rise(y) over run (x) = 2/1=2
so X=2
y=2x
Because we see the line passes the point (0,3) we know the b in y=mx+b = 3
To prove:
try a point
(2,7)
y=mx+b (plug-in)
7=2(x)+3 (isolate x, subtract 3 to 7)
4= 2x (isolate x, divide by 2)
x=2
2=2 ( compare x to original coordinate: (2,7))
in the previous example, the standard deviation of birth weights for individual babies in the population is 500 grams. what is the standard deviation of the mean birth weights for samples of 100 babies?
The standard deviation of the mean birth weights for samples of 100 babies is 50 grams.
The standard deviation of the mean birth weights for samples of 100 babies can be calculated using the formula:
Standard deviation of the mean = Standard deviation of the population / sqrt(sample size)
Given that the standard deviation of birth weights for individual babies in the population is 500 grams, and the sample size is 100, we can plug in these values into the formula:
Standard deviation of the mean = 500 / sqrt(100) = 50 grams
Therefore, the standard deviation of the mean birth weights for samples of 100 babies is 50 grams.
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Solve for x: 6x1/4(4x+8)>12
For the right triangles below, find the exact values of the side lengths b and a. If necessary, write your responses in simplified radical form.
30°
2
Ъ
=
45°
a =
60°
8
The sides of the triangle are;
c = 5√2
b = 3√3
What is the right triangle?A right triangle is a triangle that has a right angle that measures 90 degrees. The hypotenuse, which is the side that faces the right angle, is the longest side. The right triangle's other two sides are referred to as its legs.
1) Cos 45 = 5/c
√2/2 = 5/c
c√2 = 10
c = 10/√2
c = 5√2
2) Tan 30 = b/3
√3/3 = b/3
3√3= 3b
b = 3√3/3
b = 3√3
We have used to concept of the special angles to solve the problem above.
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The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 14 seconds.1-e^x/lamda
The probability that the arrival time between vehicles is 12 seconds or less is approximately 0.573.
Given that the time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 14 seconds.
We know that the exponential probability distribution function is given by
f(x) = λ e^(-λx)
Where λ is the rate parameter of the distribution and is equal to 1/mean in this case. So, λ = 1/14.
Now, we need to find the probability that the arrival time between vehicles is 12 seconds or less. Mathematically, we can express this as:
P(X ≤ 12) = [tex]\int\limits^{12}_0[/tex] λ e^(-λx) dx
Integrating this expression, we get:
P(X ≤ 12) = [-e^(-λx)]_[0,12] = -e^(-λ12) + e^(-λ0)
Since e^(-λ×0) is equal to 1, we have:
P(X ≤ 12) = 1 - e^(-λ×12)
Substituting the value of λ, we get:
P(X ≤ 12) = 1 - e^(-12/14)
P(X ≤ 12) ≈ 0.573
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The given question is incomplete, the complete question is:
The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 14 seconds . What is the probability that the arrival time between vehicles is 12 seconds or less?
PLEASE SOMEONE HELP ME!!!!
The time required to ring up the customer with 11 items is; 20 seconds
How to solve linear equation word problems?A linear equation is defined as an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.
We are given the linear equation:
t = p + 9
Where;
p is the variable that represents the number of items being purchased
t reprensts the time required to ring up the customer.
Thus:
When p = 11 items, we have:
t = 11 + 9
t = 20 seconds
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Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
The correct equations for x = - 2 and x = 2 are,
⇒ x² - 4 = 0
⇒ 4x² = 16
We have to given that;
Find the equations which are true for x = - 2 and x = 2.
Now, We can simplify as;
⇒ x² - 4 = 0
⇒ x² = 4
⇒ x = ± 2
⇒ x² = - 4
⇒ x = ±2i
⇒ 3x² + 12 = 0
⇒ x² + 4 = 0
⇒ x = ±2i
⇒ 4x² = 16
⇒ x² = 4
⇒ x = ±2
⇒ 2 (x - 2)² = 0
⇒ (x - 2)² = 0
⇒ x = 2, 2
Thus, The correct equations for x = - 2 and x = 2 are,
⇒ x² - 4 = 0
⇒ 4x² = 16
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What is the surface area of the cylinder below? use pi
The surface area will be equal to 1,017.9 square feet.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
Given that:-
The given radius is 9 feet.The height of the cylinder is 18 feet.The surface area of the cylinder will be calculated as:-
SA = 2 πrl
SA = 2 π x 9 x 18
SA = 1,017.9 square feet
Therefore surface area will be equal to 1,017.9 square feet.
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The surface area of the given cylinder is 486π m² or 1526m².
From the figure, given height of the cylinder (h) = 18m
Given radius of the cylinder (r) = 9m
To find out the surface area of the cylinder the formula s = 2πr² + 2πrh
By substituting the given radius and height of the cylinder in the above equation we get the required surface area value.
s = 2πr² + 2πrh
s = (2 x π x (9)²) + (2 x π x 9 x 18)
s = (2 x π x 81) + (324π)
s = 162π + 324π
s = 486π m²
s = 486 x 3.14...... (since, π = 3.14....)
s = 1526m²
From the above explanation, we can conclude that the surface area of the given cylinder is equal to 486π m² or 1526m².
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