hi everyone help my math pls
show ur solutions ​

Hi Everyone Help My Math Plsshow Ur Solutions

Answers

Answer 1

On solving the provided question, we can say that - the area of the provided circle is A = [tex]113.04 cm^2[/tex]

What is circle?

Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. At every angle, it is also rotationally symmetric about the center. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.

here,

radius, r = 6 cm

Area of circle = [tex]\pi X r^2 = 3.14 X 6 X 6 \\[/tex]

A = [tex]113.04 cm^2[/tex]

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Related Questions

solve for g here

[tex]55g + 25 = 625 \div 25[/tex]

Answers

Answer:

0

Step-by-step explanation:

625 / 25 = 25

55g + 25 = 25

55g = 25 - 25

55g = 0

g = 0/55

g = 0

Answer:

[tex] \sf \: g = 0[/tex]

Step-by-step explanation:

Given equation,

→ 55g + 25 = 625 ÷ 25

Now the value of g will be,

→ 55g + 25 = 625 ÷ 25

→ 55g + 25 = 25

→ 55g = 25 - 25

→ g = 0 ÷ 55

→ [ g = 0 ]

Hence, the value of g is 0.

Given f(x) = -x² - 2x + 12, find f(8)

Answers

Answer:

f(8) = -68

Step-by-step explanation:

f(x) = -x² - 2x + 12

f(8) = ?

We just need to put 8 in for the x and solve it

f(8) = -(8)^2 -2(8) + 12

f(8) = -64 -16 +12

f(8) = -80 + 12

f(8) = -68

What are the worst and best time complexity and the best and worst time input given to sort a set of elements using bubble sort?

Answers

With a temporal complexity of O(n2) in the average and worst circumstances, and O(n) in the best case, Bubble Sort is a simple, reliable sorting algorithm.

what is algorithm ?

A mathematical algorithm is a process that describes a series of steps that can be used to accomplish a mathematical computation. A typical illustration of a mathematical algorithm would be the step-by-step process used in long division. Integral calculus and differential calculus are the two varieties of calculus. These fields work together to let you calculate rate of change, a crucial component of many algorithms and programs. Particularly crucial are differential equations.

given

With a temporal complexity of O(n2) in the average and worst circumstances, and O(n) in the best case, Bubble Sort is a simple, reliable sorting algorithm.

The outer loop, in the worst case, executes O(n) times.

Therefore, bubble sort's worst-case time complexity is O(n x n) = O(n x n) (n2).

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How to solve the variables

Answers

Heyyyyyyyy how u doing I. Doing good how abt yo self

He starts by running 3 miles during every training session. Each week he plans to increase the distance of his run by 1/4 mile

Answers

The arithmetic expression may be used to get the formula T = (11 + w)/4, which is the distance Kane runs in a training session after w weeks.

Every training session, Kane begins out by running 3 miles, and he has a plan to improve that distance by 1/4 mile each week.

The number of weeks is w.

The arithmetic progression may be used to calculate an expression that displays the distance Kane runs during a training session after w weeks.

T = A + (n-1)d is the formula for the nth term in an arithmetic operation, where an is the first term, which is 3, d is the difference between two consecutive terms, which is, is the last term, and n is the total number of terms.

We get, T = (11+w)/4

This is the expression to show the distance Kane runs in a training session after w weeks.

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Complete question - Kane is training for a marathon. He starts by running 3 miles during every training session each week plans to increase the distance of his runs by 1/4 mile. Let w be the number of weeks. Write and expression to show the distance Kane runs in a training session after w weeks

△BOK∼POS. Identify the coordinates of K and the scale factor.

O = 0, 0

B = 5, 0

P = 8, 0

S = 0, -12

Answers

The coordinates of K = (0, -7.5) and the scale factor is 8/5.

Consider the following figure of triangles.

△BOK and ΔPOS.

Since △BOK∼ ΔPOS, the sides of △BOK and ΔPOS must be in proportion. (from definition of triangle similarity)

i.e., OP / OB = OS / OK = PS/BK

Consider an equation,

OP / OB = OS / OK

From the diagram:

OP = 8, OB = 5, OS = 12

Substitute these values in above equation.

8/5 = 12/OK

OK = 60/8

OK = 7.5

We can observe that OK is the distance of point K from origin 'O'

So, the coordinates of K would be (0, -7.5)

And the scale factor is 8/5.

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NEED HELP ASAP - Algebra 2 (5 Questions, 15 Points Each)

Answers

In question 1;

The student multiplied without flipping the second expression.

In second question;

The negative should only be distributed to the numerator.

In third question,

3/2 should be remove from the x - value which make the expression undefined.

In fourth student;

Neither student is correct.

In fifth question,;

Sarah didn't cancel incorrectly in step 3.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

In question 1;

The expression is,

⇒ x² + 2x - 3 / (x² - 3x - 10) ÷ (2x + 12) / (8x + 16)

= (2x³ + 16x² + 18x - 36) / (8x³ - 8x² - 128x - 100)

Cleary, The student multiplied without flipping the second expression.

In question 2;

⇒ (-2y - 2) / (y² + 2y - 8) - (y - 1) / (2 - y)

⇒ (-2y - 2) / (y² + 2y - 8) + (-y + 1) / (-2 + y)

Clearly, The negative should only be distributed to the numerator.

In Question 3;

The student make mistake is ''3/2 should be remove from the x - value which make the expression undefined.''

In fourth student;

Neither student is doing correct solution.

In fifth question,;

Sarah didn't cancel incorrectly in step 3.

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please help kinda confused!!

Answers

The equation of the line in fully simplified intersect is y = mx + b

What is general equation of the line?The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis.The equation of a line is y = mx + c , where m is the slope of the line and c is a constant.We have the x-intercept (3,0) and y-intercept (0,3) on the graph.Slope of these line through these points will be ;m = (y2-y1) / (x2-x1)m= (3-0) / (0-3)m= 3/-3m= -1Also , we will get the value of c = 3 .The equation of line after putting the value of m and c will be ,y = -x + 3Thus, the equation of line is y = -x + 3

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The area of the rectangle is 15cm, the length is xt2cm, the width is xcm , find the value of x​

Answers

You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

How do you find the length and width of a rectangle when given the area?

When given an area of A and a length of h, its width w is equal to A/h.

Its width is w = P/2h if you have the perimeter P and length h.

If you know the length h and the diagonal d, you can calculate the width using the formula w = (d2h2).

The height, area, diagonal, or perimeter of your rectangle are the two measurements that the width of a rectangle calculator uses to calculate the width of your rectangle. We'll also demonstrate various formulas for calculating the width of a rectangle based on the information at hand. The width of a rectangle can be determined in a variety of ways, depending on the information at hand. 

A=w×h

P=(w+h)×2

d = w 2 +h 2

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How do you choose which variable to eliminate when doing elimination method?

Answers

Choose the variable whose numerical coefficients are smaller or have a smaller common multiple.

What is Elimination Method ?

In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

Elimination Method for a System of EquationsPut the two equations in standard form.Alternate the coefficients of one variable.To remove one variable, add the equations produced by Step 2.Find the solution for the last variable.Fill in one of the original equations with the solution from Step 4.Elimination has less steps than substitution. Elimination reduces the possibilities of mistakes as compared to other methods. Elimination is quicker.

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5. Use the properties of logarithms to expand log₂
constant multiple of variables. (Assume all variables are positive.)
as a sum, difference, and/or

Answers

Answer:

  1/2log₂(a-1) -log₂(9)

Step-by-step explanation:

You want the expanded form of log₂(√(a-1)/9).

Rules of logarithms

The relevant rules of logarithms are ...

  log(a^b) = b·log(a)

  log(a/b) = log(a) -log(b)

The rules are applicable for any base.

Application

  [tex]\log_2{\dfrac{\sqrt{a-1}}{9}}=\log_2{(\sqrt{a-1})}-\log_2{(9)}=\boxed{\dfrac{1}{2}\log_2{(a-1)}-\log_2{(9)}}[/tex]

please help me!! I can’t figure it out

Answers

Answer:

Point 1 (-7, 1)

Point 2 (=9`, -5)

Point 3 (-2, 4)

Step-by-step explanation:

Step 1. Move each point by 1 to the left. (Shown in dark blue)

Step 2: Move the points in dark blue down by 7. (shown lin light blue)

Step 3: find each point by lining up x and y.

You can be identified by x being left to right resembling shaking your head saying "no"

for Y shake your head up and down for Yes.

How do you read XYZ coordinates?

Answers

The XYZ coordinates are read as x-axis, y-axis and z-axis respectively.

Here we know that the x-axis is the horizontal line along which the wall to your left and the floor intersect where as the y-axis is the horizontal line along which the wall to your right and the floor intersect and the z-axis is the vertical line along which the walls intersect.

Here we also know that x-coordinate is measured along the east west axis, the y-coordinate is measured along the north south axis, and the z-coordinate measures height or elevation.

And it is used for a three-dimensional structure where the x-axis and y-axis represent the first two dimensions and the z-axis is the third dimension.

And in a graphic image, the axes x and y denote width and height and the z denotes depth.

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What is 6 divided by 9.51

Answers

Answer:

The result of 6 divided by 9.51 is approximately 0.63.

Answer:

0.63091482649

Step-by-step explanation:

What is the coefficient of y2 in 9xy2z?

Answers

The coefficient of y2 in 9xy2z is 9xy.

In mathematics, a coefficient is any integer or symbol that multiplies the variable of a single term or the terms of a polynomial to represent a constant value. It is typically a number, however, in other expressions, a letter might be used instead. In the formula: ax2 + bx + c, for instance, x is the variable and a and b are the coefficients.

A coefficient is what?

A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it. It is assumed that the variables with no associated number have a coefficient of 1.

coefficient of y 2  in 9x(y 2 )z is 9xy.

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What is tautology in math?

Answers

A statement which is known as tautology is a type of compound statement in whose result is always the truth value. We don't take in consideration the other individual values in consideration , the result in tautology is always true.

It is one of the most significant part in logical mathematics if we need to find the most accurate answers or findings among a given group of answers.

In mathematics, tautology is used so as to ensure that the results which is obtained are true and exact and not false . A tautology is a compound statement and it will always returns true value. The result in tautology is always true, regardless of what the constituent parts are.

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The amount of caffeine in the body of a healthy adult after drinking espresso decreases exponentially, with a half-life of approximately 666 hours. That is, every 666 hours, the amount of caffeine in the body decreases by 50\PP, percent. Charlotte wants to go to sleep at 11\,\text{pm}11pm11, start text, p, m, end text and does not want more than 202020 milligrams (\text{mg})(mg)(, start text, m, g, end text, )of caffeine in her system at that time. What is the latest time Charlotte can drink a 222-ounce shot of espresso that contains 80\,\text{mg}80mg80, start text, m, g, end text of caffeine

Answers

The half-life of caffeine in the body is approximately 5-6 hours, not 666 hours. Given this information, we can calculate the latest time Charlotte can drink a 222-ounce shot of espresso that contains 80mg of caffeine and still have no more than 2020mg of caffeine in her system at 11pm.

What does math's % mean?

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

We know that after 5-6 hours, the amount of caffeine in the body decreases by 50%. Therefore, in 11 hours, the amount of caffeine in the body would decrease by approximately 87.5%.

If we let x be the number of hours before 11pm that Charlotte can drink the espresso, then the amount of caffeine in her body at 11pm would be:

80mg * (1 - (87.5% ^ (x/5-6))) = 2020mg

Solving for x, we find that the latest time Charlotte can drink the espresso is approximately 6:30pm.

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What is the equation of the line in slope-intercept form that has a slope of 6 and a y-intercept of 1/2


- I have struggled with this for an hour
-I have been taking tutoring and still need help -it's just not clicking

Answers

Answer: y = 6x + 1/2

Given the information, use the slope-intercept formula to help you find the equation

1. The slope-intercept formula is y = mx + b. M represents the slope in this equation and b represents the y-intercept. This means you just need to replace m and b with the information they’ve given you. So replace m with 6 and b with 1/2. This should look like y = 6x + 1/2.

Hint: your answer will be a fraction or decimal. ex: 3/5 or 0.6 *
Find the probability that a point chosen at random on the part of the number line shown will lie
between points B and C.

Answers

On solving the provided question we can say that - the probability of the event will be there are two red sides, thus multiplying 16.6667 by two results in 33.3333%.

What is probability?

A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.

Each side would be 50%, and if one side were divided among three people, it would equal 16.6667 per person.

Given that there are two red sides, you can multiply 16.6667 by 2 to get 33.3333%.

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I need help with this question. :Probability and Statistics thanks

Answers

The number of possible combinations of 4 digit codes would be 72.

What are permutation and combination?

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, I am creating a 4 digit code with the numbers 1 to 10.

Now, From 1 to 10 there are (10 - 1 + 1 ) = 10 and we are taking 4 numbers at a time.

Therefore the number of combinations of 4 digit codes would be,

[tex]^9C_4\times2![/tex]. As the number consists of two digits.

= [9!/(9 -2)!×2!]×2!.

= 9!/7!.

= 72 possible ways.

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PLEASE HELP I will give brainiest Which equation best shows the relationship between x and y? (1 point)
O a
Ob
Oc
Od
y = x + 50
y = 6x + 50
y = 6x + 56
y=x+56

Answers

On solving the provided question, we can say that the equation of the expression is given by y = 6x + 50

What is an equation ?

Equations with graphs as the unknowns are known as graph equations. The concept of isomorphism is one of the key issues in graph theory. When are two graphs identical, we inquire? Different graph equations may be used to express the aforementioned graphs.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is utilized. A lot of specialists, such as air traffic controllers, architects, computer programmers, and carpenters, employ equations on a daily basis.

From the table we can see that if the equation be

y = mx + c

for x = 0 y = 50

c = 50

again from x = 1 and y = 56

m = 6

So the equation of the expression is given by y = 6x + 50

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Can u help me with this

Answers

Answer:

D)  (6.6, 7.4)

Step-by-step explanation:

Begin by finding the margin of error based on the given information.

[tex]\boxed{\begin{minipage}{7.3cm}\underline{Margin of Error formula}\\\\$\textsf{Margin of Error}= Z \times \dfrac{S}{\sqrt{n}}$\\\\where:\\\phantom{ww} $\bullet$ $Z =$ $Z$ score\\\phantom{ww} $\bullet$ $S =$ Standard Deviation of a population\\\phantom{ww} $\bullet$ $n =$ Sample Size\\\end{minipage}}[/tex]

Given:

S = 1.3n = 50

The z-score for 95% confidence level is 1.96.

Therefore, to find the margin of error, substitute the values into the formula:

[tex]\implies \textsf{Margin of Error}= 1.96 \times \dfrac{1.3}{\sqrt{50}}[/tex]

[tex]\implies \textsf{Margin of Error}=0.360341...[/tex]

To find a reasonable range for the true mean number of hours a teenage spend on their phone, subtract and add the margin of error to the given mean of 7 hours:

[tex]\begin{aligned}\implies \textsf{Lower bound}&=7-0.360341...\\&=6.63965...\\&=6.6\;\; \sf (1\;d.p.)\end{aligned}[/tex]

[tex]\begin{aligned}\implies \textsf{Upper bound}&=7+0.360341...\\&=7.360341...\\&=7.4\;\; \sf (1\;d.p.)\end{aligned}[/tex]

Therefore, the reasonable range for the true mean is:

(6.6, 7.4)

It costs c dollars each to manufacture and distribute backpacks. If the backpacks sell at x dollars each, the number sold is given by n = a/(x-c) + b(95-x), where a and b are positive constants. What selling price will bring a maximum profit? Express the total profit P in terms of X. P(x) The selling price that will maximize profit is $

Answers

The total profit P in terms of x can be expressed as

P(x) =  (a - c) (a/(x-c) + b(95-x))

The selling price that will maximize profit is the positive constant, a in dollars.

To find the selling price that will bring a maximum profit, we need to find the derivative of the profit function P(x) and set it equal to 0.

The profit function P(x) is given by P(x) = nx - nc,

where n is the number of backpacks sold and c is the cost to manufacture and distribute each backpack.

Substituting the given expression for n into the profit function gives:

P(x) = (a/(x-c) + b(95-x))x - c(a/(x-c) + b(95-x))

P(x) = (a - c) (a/(x-c) + b(95-x))

To find the selling price that will maximize profit, we need to find the critical points of P(x) by taking the derivative of P(x) with respect to x and setting it equal to 0:

P'(x) = (a - c) (-a/(x - c)² - b) = 0

Thus P'(x) = 0 at c = a or (x - c)² = -a/ b

a and b are positive constants, so -a/ b is negative but (x - c)² is never negative, so it is not a possible solution.

So only solution is c = a, that is for maximum profit selling price, c should be equal to the positive constant, a.

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1. Which of these pairs of quantities are proportional to each other? For the quantities that are
proportional, what is the constant of proportionality?
a. Radius and diameter of a circle
b. Radius and circumference of a circle
c. Radius and area of a circle
d. Diameter and circumference of a circle
e. Diameter and area of a circle

Answers

a. Radius and diameter of a circle is proportional

b. Radius and circumference of a circle is proportional

c. Radius and area of a circle is not proportional

d. Diameter and circumference of a circle is proportional

e. Diameter and area of a circle is not proportional

Given that,

We have to find the pair of quantities are proportional to each other.

We know that,

What are ratio and proportion?

In its most basic form, a ratio is a comparison between two comparable quantities.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

We know

a. Radius and diameter of a circle is proportional because d=2r

b. Radius and circumference of a circle is proportional because C = 2πr

c. Radius and area of a circle is not proportional because A = πr² non linear relationship.

d. Diameter and circumference of a circle is proportional C = πd

e. Diameter and area of a circle is not proportional A =  πd²

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A hockey team scored the following number of goals in their last 5 games:

2,3,5, 3,2

Which is the mean absolute deviation of the number of goals?

Hurry pls

Answers

The mean absolute deviation of the number of goals is 0.8 goals

What is Mean Absolute Deviation ?

The average distance between each data value and the mean is known as the mean absolute deviation (MAD) of a data collection. A measure of variance in a data collection is the mean absolute deviation. We may determine how "spread out" the values in a data collection are by looking at the mean absolute deviation.

The average distance between data points and a center point is referred to as mean absolute deviation. N is the number of words in the sample, where xi is the sample's individual value and x is the sample's mean or average.

Enter the numbers in the provided input box, separated by commas.To determine the mean absolute deviation for a set of data, click the "Calculate" button.To obtain the mean absolute deviation for the various figures, click the "Reset" option to clear the fields.

The mean of the goals scored is = (2+3+5+3 +2)/5 = 3

The Mean Absolute Deviation is = [tex]\frac{1}{5}\{|(2-3)| + |(3-3)| + |(5-3)| + |(3-3)| + |(2-3)|}\}\\[/tex] = 4/5 = 0.8

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Which is the algebraic sequence of 1,4,7,10

Answers

The algebraic sequence of 1,4,7,10 is aₙ = 3n - 2

How to determine the explicit formula of the sequence?

From the question, we have the following sequence that can be used in our computation:

1,4,7,10

In the above sequence, we can see that 3 is added to the previous term to get the current term

Using the above as a guide,

So, we have the following representation

aₙ = aₙ₋₁ + 3

Also, we have

a = 1 i.e. the first term

d = 3 i.e he common difference

When represented explicitly, we have

aₙ = a + (n - 1) * d

So, we have

aₙ = 1 + (n - 1) * 3

Evaluate the products

aₙ = 3n - 2

Hence, the explicit formula is aₙ = 3n - 2

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How do you compare two slopes on a graph?

Answers

Two slopes can be compared on a graph by analyzing the steepness of the lines and their direction (positive or negative).

The steepness of a line on a graph is determined by its slope, which is the ratio of the change in y to the change in x (rise over run). A steep line has a large slope, meaning that for a small change in x, there is a large change in y. A shallow line has a small slope, meaning that for a small change in x, there is a small change in y. To compare two slopes, one can compare the steepness of the lines by comparing the absolute value of the slopes.

If one line has a larger absolute value than the other, it is steeper. Additionally, one can also compare the direction of the slope, which is determined by the sign of the slope. A positive slope indicates that the line is increasing and a negative slope indicates that the line is decreasing. By comparing the steepness and direction of the slopes, one can determine whether the two lines are parallel or not, and whether they are going in the same direction or not.

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A community hall is in the shape of a cuboid.

Answers

Total cost of Painting and tileing is for the cuboidical community hall is  $2172.

What is a Cuboid ?

A three-dimensional form called a cuboid contains six faces, twelve edges, and eight vertices. It differs from a cube in that a cuboid's faces are entirely rectangular in shape whereas a cube's faces are square. A cuboid has three dimensions: length, breadth, and height.

Properties of a Cuboid are :

There are 6 faces, 12 edges, and 8 vertices on a cuboid.

All of the cuboid's faces have rectangular shapes.

The cuboid's opposing edges are parallel to one another.

The dimensions of a cube are length, breadth, and height.

All of the angles created at the cuboid's vertices are 90 degrees.

Surface area of 4 walls and Ceiling is = 40*3*2 + 15*3*2 + 40*15 = 930

Surface area of the floor is 40 *15 = 600

10 lt of tin covers 25

1  can be covered by 10/25 lt

930  can be covered by (10/25) * 930 = 372 lt.

Total cost of Painting is $372.

1  of floor tiles cost $3

600  of floor tiles will cost 3*600 = $ 1800

Total cost of Painting and tileing is for the cuboidical community hall is $ 372 + 1800 = $2172.

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18) If you invest $2400 at an annual interest rate of 4.5% that is compounded quarterly, how much will your investment be
worth in 12 years?

Answers

The amount of interest a single deposit earns for the period of one year is equal to your initial investment multiplied by this yield.

What is the formula for calculating investment interest?

Compound interest may be computed using the formula FV = P*(1+R/N)(N*T), where FV is the loan or investment’s future value, P is the original principle amount, R is the yearly interest rate, N is the number of times interest is compounded each year, and T is the period in years.

The amount of interest earned on a single deposit over a year is equal to your initial investment multiplied by this return. As an example: After a year, $1,000 invested at a 5.00% annual effective return yields $50.00 in interest. $1,000.00 x 5.00% = $50.00.

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HURRY!!

The height of a cylinder is 5 centimeters. The circumference of the base of the cylinder is 167 centimeters.

Which measurement is closest to the volume of the cylinder in cubic centimeters?

A. 251. 3

B. 4,021. 2

C. 1,005. 3

D. 628. 3

Answers

Since the circumference of the base is given, the radius can be calculated as r = (circumference / 2π) and the volume as V = πr2h. The volume of the cylinder is therefore approximately 628.3 cubic centimeters.

1. Calculate the radius of the base of the cylinder. The circumference of the base is 167 centimeters. Rearranging this gives

r = C / 2π. Therefore,

r = (167 / 2π)

= 26.6 cm.

2. Calculate the volume of the cylinder. The formula for volume is V = πr2h. Therefore,

V = π(26.6)2 * 5

= 628.3 cubic centimeters.

or

r = (167 / 2π) = 26.6 cm

V = π(26.6)2 * 5 = 628.3 cubic centimeters

To calculate the volume of the cylinder, the radius of the base must first be calculated. This can be found by using the formula C = 2πr, where C is the circumference and r is the radius The circumference of the base of the cylinder is 167 centimeters, so the radius can be calculated as r = (167 / 2π) = 26.6 cm. The volume of the cylinder can then be calculated using the formula V = πr2h, where h is the height of the cylinder. In this case, the height is 5 centimeters, so the volume is V = π(26.6)2 * 5 = 628.3 cubic centimeters. This is the closest measurement to the volume of the cylinder.

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