For what values of theta (0 less than or equal to theta less than or equal to 2pi) do maximum r values occur on the graph the polar equation r=4+3 sin3theta? Note that the maximum r-value occurs at a point that is the maximum distance from the pole.
Answers
Answer:
Step-by-step explanation:
To find the values of the angle which makes maximum r you use the derivative of r
[tex]\frac{dr}{d\theta}=\frac{1}{3}sin(3\theta)[/tex]
If you equals this derivative to zero you obtain the value of the angle:
[tex]\frac{dr}{d\theta}=0\\\\cos3\theta=0\\\\3\theta=\frac{\pi}{2}\\\\\theta=\frac{\pi}{6}[/tex]
However, the values of 5π/6 and 9π/6 are also available, because makes the sinusoidal function equal to 1.
hence, the answer is:
[tex]\theta_1=\frac{\pi}{6} \\\\\theta_2=\frac{5\pi}{6}\\\\\theta_3=\frac{9\pi}{6}=\frac{3\pi}{2}[/tex]
answer b
The maximum values of r for the polar equation r=4+3 sin 3θ occur at the angles where sin 3θ = 1, within the range of 0 to 2π. Solving the equation 3θ = nπ/2 for odd integers n gives the values of θ where r is maximum, which must be checked against the range [0, 2π].
Explanation:We can find the maximum values of r for the polar equation r=4+3 sin 3θ by looking for the values of θ that give the maximum value for the sinusoidal function sin 3θ.
Since we know that the sine function reaches its maximum value of 1, we can find the values of θ that satisfy the condition sin 3θ = 1 within the given range of θ from 0 to 2π.
Thus, the equation becomes r = 4 + 3(1), which simplifies to r = 7.
Now, we seek to solve 3θ = nπ/2 where n is an odd integer since the sine function is maximum at π/2, 3π/2, 5π/2, and so on. Therefore, we obtain θ values of π/6, π/2, 5π/6, etc., until we reach the limit of 2π.
We must also consider the range of the function which brings us to the fact that θ must lie within [0, 2π].
Thus, we have to evaluate this for values such as θ = π/6, 5π/6, 3π/2, and so on, checking which of these are within the specified range and hence can be considered valid solutions where maximum r values occur.
Related Questions
The dance committee of Pine Bluff middle school earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spring Fling dance.The dance will cost $400. Write an inequality to determine the number,t of tickets the committee could sell to have money left over after they pay this years dance
Answers
Answer:
The Inequality to determine the number of tickets the committee could sell to pay this years dance [tex]72+4t\geq 400[/tex].
The committee need to sell more than 82 tickets to have money left over after they pay this years dance.
Step-by-step explanation:
Given:
Cost of the Dance =$400
Money earn from bake sale =$72
Cost of each ticket = $4
We need write the inequality to determine the number of tickets the committee could sell to pay this years dance.
Solution:
Let the number of tickets to be sell be 't'.
So we can say that;
Money earn from bake sale plus Cost of each ticket multiplied by number of tickets should be greater than or equal to Cost of the Dance.
framing in equation form we get;
[tex]72+4t\geq 400[/tex]
Hence The Inequality to determine the number of tickets the committee could sell to pay this years dance [tex]72+4t\geq 400[/tex].
On solving the above equation we get;
subtracting both side by 72 we get;
[tex]72+4t-72\geq 400-72\\\\4t\geq 328[/tex]
Dividing both side by 4 we get;
[tex]\frac{4t}{4}\geq \frac{328}{4}\\\\t\geq 82[/tex]
Hence The committee need to sell more than 82 tickets to have money left over after they pay this years dance.
Put the quadratic into vertex form and state the coordinates of the vertex
Answers
Answer: f(x) = (x+6)^2 -25
vertex is (-6, -25)
Step-by-step explanation: complete the square, than use the binomial formula, then simplify and expand
Answer:
equation is y = (x+1)(x+11)
vertex: (-1,-11)
Step-by-step explanation:
y = x^2 + 12x + 11. The last value, the value 11 is how we can determine our values in the equation. First we need to find the factors of positive 11 which are: -11 * -1 and 1*11. now we will look at the second portion the 12x. As we can see the value is positive. Now we will add the two factors together and see which one gives us positive 12. The factors 1 and 11 make positive 12. Now we simply just need to add those values to x. When this is factored down or in other words vertex form, the equation is y = (x+1)(x+11). The vertex is what value would make the equation equal 0. Since -1 + 1 equals 0 then that is one of the vertex and since -11 + 11 equal 0 that also makes that a vertex. This makes the vertex -1,-11.
A mountain bike tires completes 20 revolution and travels 136ft. Rounded to the nearest inch , what is the diameter of the bike tires ? Use 3.14 for (pi) .Enter your answer in the box
Answers
Answer:
26.04 inches
Step-by-step explanation:
A revolution is in the shape of a circle.
We can therefore say that the bike tires that complete 20 revolutions complete the length of 20 circumferences of the tires.
The length of the 20 revolutions (20 circumferences) is 136 ft
Therefore, the length of one revolution and hence, one circumference is:
C = 136 / 20 = 6.8 ft
The circumference of a circle is given as:
C = pi * d
Where d = diameter of the circle.
Hence, the diameter of the tire will be:
6.8 = 3.14 * d
d = 6.8 / 3.14
d = 2.17 ft
1 foot is equal to 12 inches, hence, 2.17 ft in inches will be:
2.17 * 12 = 26.04 inches
The diameter of the tire is 26.04 inches.
work out the circumference of this circle take (pie) to be 3.142 and give ur answer in 1 decimal place radius=9m
Answers
The circumference of a circle with a radius of 9 meters, using pi as 3.142, is calculated as 56.6 meters when rounded to one decimal place.
Explanation:The circumference of a circle can be calculated using the formula C = 2πr, where r is the radius of the circle.
In this case, the radius of the circle is 9m. Let's substitute this value into the formula:
C = 2 × 3.142 × 9
C = 56.556m
Therefore, the circumference of the circle is 56.6 meters (rounded to 1 decimal place).Calculating the Circumference of a Circle
To calculate the circumference of a circle with a radius (r) of 9 meters and using π (pi) as 3.142, we use the formula C = 2πr. By plugging in the given values, we get C = 2 × 3.142 × 9m. Performing the multiplication, we find that the circumference is 56.556 meters. Since we need to give our answer with one decimal place, we round to 56.6 meters.
The step-by-step calculation involves:
Multiplying the radius by 2 to find the diameter.Multiplying the diameter by π (pi).Rounding the result to one decimal place as specified.
Need help with this question, please help!
Answers
Answer:
x = 1 in
Step-by-step explanation:
We can use ratios to solve since they are similar triangles
6 6+x
----- = ---------
5 6
Using cross products
6*6 = 5*(6+x)
36 = 30+6x
Subtract 30 from each side
36-30 = 30-30+6x
6 = 6x
Divide each side by 6
6/6 = 6x/6
1 =x
The following statements describe a set of railroad tracks. Based only on the
statement, make a conclusion about the rails or the railroad ties. Explain.
a. The railroad ties are each perpendicular to one rail.
b. The rails are parallel. One railroad tie is perpendicular to one rail.
Answers
Answer:
Part a) The railroad ties are parallel
Part b) One railroad tie is perpendicular to both rails
Step-by-step explanation:
Part a) The railroad ties are each perpendicular to one rail
we know that
if one line is perpendicular to several other lines, then the other lines are parallel
Conclusion:
If the railroad ties are each perpendicular to one rail then the railroad ties are parallel
That means----> The slopes of the railroad ties are equal and they are opposite reciprocal to the slope of the rail
Part b) The rails are parallel. One railroad tie is perpendicular to one rail
we know that
if two lines are parallel and another line is perpendicular to one of them, then this line is perpendicular to both lines
Conclusion:
If One railroad tie is perpendicular to one rail, then one railroad tie is perpendicular to both rails
That means ---> The slopes of the railroad ties are opposite reciprocal to the slope of the rail
Final answer:
The railroad ties are perpendicular to both rails, and the rails are parallel to each other, reflecting principles of linear perspective in geometry.
Explanation:
The student's questions relate to geometry, specifically the properties of lines and angles about railroad tracks and railroad ties. When analyzing these geometric structures, we draw on concepts such as parallel lines, and perpendicular lines, and the characteristics of their interaction.
Analysis of Statements
Statement a: If railroad ties are each perpendicular to one rail, and knowing that both rails in a railroad must be parallel, we can conclude that the ties are also perpendicular to the other rail. This is because perpendicular lines or segments are by definition at 90° to each other, and if one tie is perpendicular to one parallel rail it must be perpendicular to the other rail that is parallel to the first.Statement b: If one railroad tie is perpendicular to one rail and the rails are parallel, then every other railroad tie that is also perpendicular to one rail will be perpendicular to both rails, maintaining consistency in the geometry of the railroad structure.Therefore, we can conclude that the railroad ties are perpendicular to both rails and that the rails are parallel to each other. This aligns with linear perspective and the visual effect of perpendicular lines (orthogonal) converging at a vanishing point as they recede into the distance.
A quadratic function is defined by f(x)=(x-7)(x+3) Without graphing, identify the x-intercept, starting with one with the larger x value. Write your answer in the following format:(x,y)
Answers
Answer:
(7, 0), (-3, 0)
Step-by-step explanation:
The x-intercepts are the values of x that make the factors zero. A zero factor makes the value of the function be zero.
x - 7 = 0 ⇒ x = 7
x + 3 = 0 ⇒ x = -3
The corresponding (x, y) coordinates are ...
(7, 0), (-3, 0)
The x-intercepts of the quadratic function f(x) = (x-7)(x+3) are (7, 0) and (-3, 0).
The question is about finding the x-intercepts of the quadratic function f(x) = (x-7)(x+3). The x-intercepts occur where the function equals zero, so we set f(x) = 0 and solve for x. This gives us two solutions:
x - 7 = 0, which simplifies to x = 7
x + 3 = 0, which simplifies to x = -3
Therefore, the x-intercepts of the function are at (7, 0) and (-3, 0), with the one having the larger x-value being (7, 0).
Find two integers whose sum is -7 and product is 12
Answers
Answer:
-4 and -3
Step-by-step explanation:
-4 + -3 = -7
-4 times -3 = 12
Mrs. Delgado purchased notebooks at $2.50 each and pens at $2.00 per package. She spent $19.00 for a total of 8 items. Which system of equations below could be used to find n, the number of notebooks, and p, the number of packages per pens, that Mrs. Delgado purchased?
Answers
Answer:
n+p = 82.5n + 2p = 19Step-by-step explanation:
let n be the total number of notebooks.
let p be the total number of pens.
according to the question total number of pen and notebook is 8.
Therefore mathematically
n+p = 8 ---------------------equation A
______________________________________________
cost of one notebook = $2.50
number of notebook = n
therefore total cost of n notebook = n* 2.50 = 2.5n
cost of one pen = $2.00
number of pen = p
therefore total cost of p pen = p* 2.00 = 2p
according to the question total c cost of pen and notebook is $19.00.
Therefore mathematically
2.5n + 2p = 19 ---------------------equation B
______________________________________________
Set of equation as required by question are
n+p = 8 ---------------------equation A2.5n + 2p = 19 ---------------------equation BAnswer:
6,2
Step-by-step explanation:
(looked at in desmos)
Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x,y) point. y=4x^2-8x-12
Answers
The vertex of the parabola [tex]y=4x^2-8x-12[/tex] is (1, -16).
To find the coordinates of the vertex of the parabola [tex]y=4x^2-8x-12[/tex], we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation.
In this case, a = 4 and b = -8.
Plugging these values into the formula, we get x = -(-8)/(2*4) = 1.
Now, we can substitute this value of x back into the equation to find the corresponding y-coordinate.
Plugging x = 1 into y = [tex]4x^2-8x-12[/tex], we get y = [tex]4*1^2 - 8*1 - 12 = -16[/tex].
Therefore, the vertex of the parabola is (1, -16).
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Final answer:
The vertex of the parabola [tex]y=4x^2-8x-12[/tex] is found by completing the square and transforming the equation into vertex form, resulting in the vertex coordinates at (1, -16).
Explanation:
To find the coordinates of the vertex of the parabola given by the equation [tex]y=4x^2-8x-12,[/tex] we use the fact that the vertex form of a parabola's equation is[tex]y=a(x-h)^2+k,[/tex]where (h, k) is the vertex of the parabola. In this case, we can complete the square to transform the given equation into vertex form. To do that, we can factor out the coefficient of [tex]x^2[/tex] from the first two terms:
[tex]y = 4(x^2 - 2x) - 12[/tex]
Now, we add and subtract the square of half the coefficient of x inside the parentheses, which is [tex](2/2)^2 = 1:[/tex]
[tex]y = 4(x^2 - 2x + 1 - 1) - 12[/tex]
[tex]y = 4((x - 1)^2 - 1) - 12[/tex]
[tex]y = 4(x - 1)^2 - 4 - 12[/tex]
[tex]y = 4(x - 1)^2 - 16[/tex]
Now that we have the equation in vertex form, we can see that the vertex of the parabola is at (1, -16).
Kievan bought a new eraser that came in a cardboard wrapper.
A rectangular prism with a length of 5 centimeters, width of 4 centimeters, and height of 2 centimeters.
What is the minimum amount of cardboard used for the wrapper?
38 centimeters squared
40 centimeters squared
76 centimeters squared
80 centimeters squared
Answers
Answer:
76 centimeters squared
Step-by-step explanation:
The formula for the surface area of a rectangular prism is simply 2lw+2lh+2wh. In this case, that is 2(5)(4)+2(5)(2)+2(4)(2)=40+20+16=76 square centimeters. Hope this helps!
The minimum amount of cardboard used for the wrapper will be 76 square cm. Thus, the correct option is C.
What is the surface area of the rectangular prism?Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as,
SA = 2(LW + WH + HL)
A rectangular prism with a length of 5 centimeters, width of 4 centimeters, and height of 2 centimeters.
The minimum amount of cardboard used for the wrapper is calculated as,
SA = 2(5 x 4 + 4 x 2 + 2 x 5)
SA = 2(20 + 8 + 10)
SA = 2 x 38
SA = 76 square cm
Thus, the correct option is C.
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Solve the equation
X/4 +2 = -2
Answers
Answer:
x = -16
Step-by-step explanation:
subtract the two over first so x/4 = -4
multiply both sides by 4
x = -16
Answer:
x = -16
Step-by-step explanation:
First subtract -2 on both sides. Then you will get x/4 = -4
Then multiply 4 on both sides. This will then give you x = -16 because -4*4 = 16
In March, there will be two conferences: one for math and one for history. So far, 7 people have signed up for the math conference and two more people sign up each day. There are 11 people who have signed up for the history conference, but only one more person signs up each day. After how many days will the number of people attending both conferences be the same?
Answers
Answer:
After 4 days, the number of people attending both conferences be the same.
Step-by-step explanation:
We are given the following in the question:
Maths conference:
Number of people already signed = 7
Number of people who sign up each day = 2
Thus, the number of people who will sign up for maths conference in x days will be given by the linear function:
[tex]f(x) = 7+2x[/tex]
History conference:
Number of people already signed =11
Number of people who sign up each day = 1
Thus, the number of people who will sign up for maths conference in x days will be given by the linear function:
[tex]g(x) =11+x[/tex]
Both conference will have same number of people when
[tex]f(x) = g(x)\\\Rightarrow 7 + 2x = 11+x\\\Rightarrow x = 4[/tex]
Thus, after 4 days, the number of people attending both conferences be the same.
for a party Paul bought cupcakes with 5/7 being chocolate. Of the chocolate cupcakes 1/5 of the cupcakes had chocolate sprinkles. Hey fraction of the cupcakes had sprinkles
Answers
To find the fraction of cupcakes with chocolate sprinkles, we multiply 5/7 (chocolate cupcakes) by 1/5 (those with sprinkles), resulting in 1/7 of all cupcakes having chocolate sprinkles.
Explanation:The student's question is about calculating the fraction of cupcakes with chocolate sprinkles from the total number of cupcakes bought for a party. To find the answer, we can use a two-step process involving fractions. Since 5/7 of the cupcakes are chocolate and of those, 1/5 have chocolate sprinkles, we multiply these two fractions to find the fraction of all cupcakes that have chocolate sprinkles.
The calculation is as follows: (5/7) × (1/5) = 5/35 = 1/7. Thus, 1/7 of the cupcakes have chocolate sprinkles. This approach to solving the problem demonstrates the basic principle of multiplying fractions to determine a portion of a subset.
What is the area of the rectangle in square centimeters
17
34
30
60
Answers
Answer:
the answer would be 60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
The answer is 60 because you have to multiply 5 times 12 which equals 60.
The guidance department has reported that of the senior class, 7.8% are members of key club, K, 8.6% are enrolled in AP Physics, P, and 6.7% are in both. 1) Determine the probability of P given K, to the nearest tenth of a percent. 2) The principal would like a basic interpretation of these results. Write a statement relating your calculated probabilities to student enrollment in the given situation.
Answers
Answer:
the probability of P given K is 0.86
Step-by-step explanation:
Conditional probability is defined as the probability that an event would happen based on the occurrence of an event that has already happened. It is calculated by multiplying the probability of the both the preceding event and the succeeding event together. It is given by the formula:
[tex]P(B/A)=\frac{P(A nB)}{P(A)}[/tex]
Given that:
Probability of members in the key club P(K) = 7.8% = 0.078
Probability of members enrolled in AP physics P(P) = 8.6% = 0.086
Probability of members in both P(P n K) = 6.7% = 0.067
Therefore:
[tex]P(P/K)=\frac{P(PnK)}{P(K)} =\frac{0.067}{0.078} = 0. 86[/tex]
the probability of P given K is 0.86
What is the approximate area of the shaded sector in the circle shown below?
Answers
Answer:
A; The approximate area of the shaded sector is 283[tex]cm^{2}[/tex]
Step-by-step explanation:
In this question, we are tasked with calculating the area of the sector of a circle that subtends a particular angle at the center of the circle
To calculate this, we use the formula for the area of a sector.
Mathematically,
Area of the shaded sector = θ/360 × π × [tex]r^{2}[/tex]
In this question, The angle subtended by the sector ;θ = 100° and radius of the circle r = 18 cm
Area = 100/360 × 22/7 × [tex]18^{2}[/tex] = 712,800/2520 = 282.86 which is approximately 283[tex]cm^{2}[/tex]
Answer:
[tex]A \approx 282.743\,cm^{2}[/tex]
Step-by-step explanation:
The approximate area of the shaded sector is:
[tex]A = \frac{100}{360}\cdot \pi\cdot (18\,cm)^{2}[/tex]
[tex]A \approx 282.743\,cm^{2}[/tex]
Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert. In each arrangement below, the first initial of each person's name represents that person's position as he or she boards the bus: first, second, third, and fourth. If we know that Karen boards the bus first, which shows the possible outcomes for this event?
Answers
All the given options are valid and correct.
If Karen boards the bus first, the possible outcomes for the event are those where the other three band members board the bus in various orders after Karen. Let's consider the options:
1. KHIJ: This represents Karen boarding first, and the remaining band members (Harry, Isabel, and Jose) boarding in the order H, I, J. This is a valid outcome.
2. KHIJ, KHJI: These arrangements represent Karen boarding first, and the remaining band members boarding in different orders (H, I, J and H, J, I). Both are valid outcomes.
3. KHIJ, KHJI, KJHI, KJIH: These arrangements include all possible orders of the remaining band members after Karen. All of them are valid outcomes.
4. KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH: These arrangements cover all possible orders of the band members after Karen, including swapping the positions of Harry and Isabel. All are valid outcomes.
Therefore, the possible outcomes for this event are all of the given options.
The given question seems incomplete, but the complete question could be:
Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert. In each arrangement below, the first initial of each person's name represents that person's position as he or she boards the bus: first, second, third, and fourth. If we know that Karen boards the bus first, which shows the possible outcomes for this event?
A. KHIJ
B. KHIJ, KHJI
C. KHIJ, KHJI, KJHI, KJIH
D. KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH
Jonathan's new car cost $29,000. After a year, the value of the car is $23,490. If the car depreciates by a fixed factor every year, what will be the value of the car two years after its purchase?
A. $23,985.90
B. $16,933.10
C. $19,026.90
D. $18,971.80
Answers
Answer:
I think It would be C or B
Step-by-step explanation:
Depending on the value of the car at first purchase.
Answer:
C
Step-by-step explanation:
23,490/29000=0.81
0.81*23,490=19026.90
am I right? Please help me check
Answers
The measure of the arc is always equal to the measure of the anlge.
True
False
Answers
Answer:
False
Step-by-step explanation:
Since no particular geometry is specified, the relationship between the measure of the arc and the measure of the angle is unknown. The statement must be said to be FALSE.
are you able to write?
Answers
Answer:
Well isn't anyone able to write?
Answer:
What?
Step-by-step explanation:
Find the area of triangle? 15ft 20ft
Answers
Answer:
I see your profile everywhere, and the answer is Right scalene Pythagorean triangle.
Step-by-step explanation:
I need help solving this problem. At an only mapping site, Mr. Mosley notices that when he clicks a spot on the map, the map zooms in on that spot. The magnification increases by 20% each time. Write a formula for the nth term of the geometric sequence that represents the magnification of each zoom level. (Hint: The common ratio is not just 0.2.)
Answers
Answer:
1.2^n
Step-by-step explanation:
since a single dot brings about an increment by 20%, the total magnification becomes 120% after the click. The common ratio = 120 / 100 = 1.2
the formula becomes 1.2^n
The formula for the nth term of the geometric sequence that represents the magnification of each zoom level is an = (1.2)n-1.
Explanation:In this problem, you are looking at a geometric sequence that represents the magnification of each zoom level on a map. A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
In this case, the common ratio is 1 + 0.2 = 1.2 because the magnification increases by 20% (or 0.2 in decimal form) each time. We can denote the nth termed 'an'. The general formula for the nth term in a geometric sequence is: an = a1 * rn-1.
Since the initial magnification doesn't specify a specific value, we will take a1 as 1 for this case. Substituting these values into the formula yields: an = 1 * (1.2)n-1, or just an = (1.2)n-1.
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PLEASE ANSWER FAST IT IS TIMED In The Number Devil, the number devil's character helps to build on the point of the story by
O challenging Robert's negative view of numbers.
O getting himself into a difficult situation.
O asking Robert the origin of his pretzel tale.
O finding a unique way to solve a problem.
Answers
Answer: A
Step-by-step explanation:
The devil is trying to see how and why Robert is negative with his view of numbers. He pokes Robert so he can see how negative Robert is about it.
Answer: A
Step-by-step explanation:
Miss tate travels from st. louis to indianapolis and back 12 times each year . the total distance of each round trip is 484 mileswhat is the total number of miles mistake travels from st. louis to indiana annapolis and back each year
Answers
Answer:
12x484=5808
Take 484x12 should be answer
Miss Tate travels a total of 5,808 miles each year making round trip journeys from St. Louis to Indianapolis and back 12 times.
Explanation:Miss Tate travels from St. Louis to Indianapolis and back, comprising a distance of 484 miles for each round trip. She does these trips 12 times a year. To find the total number of miles Miss Tate travels each year, we simply multiply the round-trip distance by the number of trips she makes. Therefore, when calculated, the total number of miles traveled by Miss Tate from St. Louis to Indianapolis and back each year is 484 miles * 12 = 5,808 miles.
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What is the answer to this math problem 2-(-5)
Answers
Answer:
7
Step-by-step explanation:
2-(-5)
2 + 5 --- opposite
=7
the minus and negative cancel out and turn into a + sign, so the new problem is 2+5 which is 7.
Find the surface area and volume of the figure.
18 ft
11 ft
Answers
The problem involves finding the surface area and volume of a cylinder with a height of 18 ft and a diameter of 11 ft. Using the formulas for a cylinder's surface area and volume, appropriate calculations can be performed to determine the cylinder's surface area and volume.
Explanation:To find the surface area and volume of a given figure, we need to identify the shape of the object. The question does not specify the shape, but the provided formulas suggest that we might be dealing with a cylinder. For a cylinder:
The surface area (A) is calculated as the sum of the areas of the two circular bases (which are π×r² each, where r is the radius) plus the area of the side, which is the circumference of the base multiplied by the height (2π×r×h).The volume (V) is the area of the base (π×r²) multiplied by the height (h).If the cylinder has a height (h) of 18 ft and a diameter of 11 ft (radius is half of the diameter, so r = 5.5 ft), we can calculate its surface area and volume using the following formulas:
A = 2π×r×h + 2π×r²V = π×r²×hPlugging in the values:
A = 2π×5.5×18 + 2π×5.5²V = π×5.5²×18Now, you can substitute π with approximately 3.1416 to find the numeric answers. Remember to use the unit ft² for surface area and ft³ for volume.
What is 53 and 1/2 as an improper fraction?
Answers
Answer:
106/2
Step-by-step explanation:
53 1/2 = 106/2
The lunch lady has 4 pounds of lasagna left over. If she
makes-pound servings, how many servings of lasagna
can she serve with the amount left over?
Answers
Answer:
4 servings :) can i get brainliest?
Step-by-step explanation:
The correct answer is 4 servings.
What is problem-solving?
Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.
What are the steps to problem-solving?
Six step guide to help you solve problems
Step 1: Identify and define the problem. State the problem as clearly as possible.
Step 2: Generate possible solutions.
Step 3: Evaluate alternatives.
Step 4: Decide on a solution.
Step 5: Implement the solution.
Step 6: Evaluate the outcome.
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