The two digit number is 54 and the system of equations that models the given scenario is x + y = 9 and x - y = -1, where x and y are the digits of the two-digit number.
Let the two-digit number has digit x in tens place value and y in ones place value, then the two digit number is
10x + y
As the sum of the digits is 9
x + y = 9
When the two-digit number is reversed, the resulting two-digit number would be
10y + x
As it is given that this resulting number is 9 greater than original number
10y + x = (10x + y) + 9
Subtracting x and y on both sides
10y + x - y - x = 10x + y + 9 - y - x
9y = 9x + 9
Dividing by 9
y = x + 1
Rearranging
x - y = -1
So the system of equation representing this scenario is
x + y = 9
x - y = -1
To solve for x
Add the equations
(x + y) + (x - y) = 9 + (-1)
2x = 8
Dividing by 2
x = 4
To solve for y, substitute x in first equation
4 + y = 9
Therefore y = 5
Thus the original number is
10x + y = 10×4 + 5
= 45
To know more on digit problems
https://brainly.com/question/2142858
#SPJ4
6. A family's income amount is $25,000. They budget out of their income:
Food: 20%
Shelter: 25%
Clothing: 15%
How much money is allotted for each of these items?
Food
Shelter
Clothing
Answer:
To find out how much money is allotted for each of these items, we can multiply the percentage of the income allocated to each item by the total income.
Food: 20% of $25,000 = $25,000 x 0.20 = $5000
Shelter: 25% of $25,000 = $25,000 x 0.25 = $6250
Clothing: 15% of $25,000 = $25,000 x 0.15 = $3750
So the family has $5000 for food, $6250 for shelter and $3750 for clothing.
(15 + y ) - (a+ u) }{3 ^ {2} -x}
After simplification, the value of expression is,
⇒ 15 + y - 9a + ax - 9u + ux
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.
Given that;
The expression is,
⇒ (15 + y) - (a + u) (3² - x)
Now, Simplify the expression as;
⇒ (15 + y) - (a + u) (3² - x)
⇒ (15 + y) - (a + u) (9 - x)
⇒ (15 + y) - (9a - ax + 9u - ux)
⇒ 15 + y - 9a + ax - 9u + ux
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
The area of the shaded region shown below is 214 units^2.
What's the value of x?
The value of x, considering the area of the rectangular regions, is given as follows:
x = 12.
How to obtain the area of a rectangle?The area of a rectangle is given by the multiplication of the two dimensions of the rectangle.
The area of the shaded region is obtained subtracting the area of the entire rectangle by the area of the inner white rectangle.
The area of the entire rectangle is given as follows:
(x + 8)(x + 5) = x² + 13x + 40.
The area of the white region is given as follows:
(x + 2)(x - 3) = x² - x - 6.
Hence the area of the shaded region is given as follows:
x² + 13x + 40 - (x² - x - 6)
x² + 13x + 40 - x² + x + 6
14x + 46.
As the area of the shaded region is of 214 units squared, the value of x is obtained as follows:
14x + 46 = 214
14x = 168
x = 168/14
x = 12.
More can be learned about the area of a rectangle at https://brainly.com/question/25292087
#SPJ1
(PLEASE HELP ASAP)
Solve the given system using your choice of either graphically or algebraically. Show and explain all work.
-4x + 9y = 14
12x - 10y = - 8
Answer:
w
Step-by-step explanation:
plss help me in time!!!
The correct statements are given below.
What are functions?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given here: The graph of two functions plotting distance vs time of two Alberto and Bianca
1) Early in the race Alberto runs faster.
2) Alberto maintains a contain speed of 20 km/hr
3) Meanwhile Bianca's Speed is 8.33 km/hr
4) The first person to cross the finish line is Bianca.
Hence, Bianca reached the finished line before Alberto.
Learn more about functions here:
https://brainly.com/question/28303908
#SPJ1
According to government data, 22 percent of children in the United States under the age of 6 years live in households with incomes that are classified at a particular income level. A simple random sample of 300 children in the United States under the age of 6 years was selected for a study of learning in early childhood. If the government data are correct, which of the following best approximates the probability that at least 27 percent of the children in the sample live in households that are classified at the particular income level
The best equation that approximates the probability that at least 27 percent of the children in the sample live in households that are classified at a particular income level is [tex]p(z > \frac{0.27-0.22}{\frac{\sqrt{0.22*0.78} }{300} })[/tex] .
What is Probability Sampling?Probability sampling is the process of selecting a sample from a population when the selection is based on the randomization principle, often known as chance or random selection. In general, probability sampling is more difficult, time-consuming, and expensive than non-probability sampling. However, since units from the population are chosen at random and the selection probability for each unit can be determined, accurate estimates can be generated and statistical conclusions about the population may be drawn.Given:
Probability of children who live in households with incomes that are classified at a particular income level,p = 22/100 = 0.22
Number of children in a simple random sample,n = 300
Probability of children who do not live in households with incomes that are classified at a particular income level, q = 1-p = 0.78
The probability of children in the sample living in households that are classified at a particular income level,p₁ = 27/100 = 0.27
Now, we know
[tex]p(z > \frac{p_{1} -p}{\frac{\sqrt{p.q} }{n} } )[/tex]
So,
[tex]p(z > \frac{0.27-0.22}{\frac{\sqrt{0.22*0.78} }{300} })[/tex]
To know more about Probability sampling visit:
https://brainly.com/question/15411001
#SPJ4
you are choosing between two different cell phone plans. the first plan charges a rate of 23 cents per minute. the second plan charges a monthly fee of $34.95 plus 12 cents per minute. how many minutes would you have to use in a month in order for the second plan to be preferable? give the exact number of minutes (do not approximate).
In order for the second plan to be preferable, a greater amount of 249.6 minutes would have to be used in one month.
Let
x -----> the number of minutes in a month
y ----> the charge monthly
we know that
First Plan
y= 0.23 x ----> equation A
Second Plan
y= 0.12x+34.95 ----> equation B
Equate the equations A and B and solve for x
so x= 249.6
For x< 249.6 ----> is preferable the first plan
For x> 249.6 ----> is preferable the second plan
therefore
In order for the second plan to be preferable, a greater amount of 249.6 minutes would have to be used in one month.
learn more about of amount here
https://brainly.com/question/13203314
#SPJ4
Convert 46.1031 to Four significant figures
The required converted number is 46.10 which is 46.1031 rounded to four significant figures.
What is the place value strategy?Place value strategies are defined as math strategies that use to assist you in resolving your elementary math problems, using your place values, such as tens and hundreds.
To convert 46.1031 to four significant figures, we must first identify the four most significant digits. In this case, the four most significant digits are 46.10.
To express 46.1031 in four significant figures, we round it to 46.10.
Therefore, 46.1031 rounded to four significant figures is 46.10.
Learn more about the place value strategy here:
brainly.com/question/654419
#SPJ1
The perimeter of a rectangle pool is 332m, if the length of the pool is 89m, what is its width?
Answer: 77m
Step-by-step explanation:
The equation for the perimeter of a rectangle is: p = 2(length) + 2(width). We are given both perimeter and the length, so we can plug in these values to solve for what is missing.
332m = 2(89) + 2(width)
332m = 178 + 2(width)
154 = 2(width)
width = 77
Just combine like terms and get the variable (width) by itself on one side of the equation to solve. Hope this helps!
Answer:
width = 77 m
Step-by-step explanation:
Perimeter = sum of all sides
As a rectangle has 2 lengths and 2 widths making a total of four sides;
P = 2 ( l + w)
332 = 2 ( 89 + w)
332/2 = 89 + w
166 = 89 + w
166 - 89 = w
77 = w
Therefore, the width of the pool is 77 m
a small bag of 10 identical apples weighs n ounces, and a large bag of n of these apples weighs less than 40 ounces, where n is an integer. in ounces, what is the greatest possible weight of the large bag? express your answer as a mixed number.
The greatest possible weight of the large bag is 1.9n ounces.
How do you get a mixed number?Divide the numerator by the denominator of an improper fraction to get a mixed number. The mixed number is represented by the answer's whole number, and the fractional portion of the mixed number is represented by the answer's remaining fractional component. No change is made to the denominator.Given:
Weight of 10 apples = n ounces
Weight of 1 apple = n/10 ounces
Weight of n apples = n²/10 ounces
It is given that a large bag of n of these apples weighs less than 40 ounces,
= n²/10 < 40
= n²< 400
= n < 20
So, the large bag contains at most 19 apples.
Hence, the weight of the large bag is at most 1.9n ounces, or (19/10)(n) ounces.
To know more about word problems visit:
https://brainly.com/question/14073989
#SPJ4
a board that is 12 feet long must be cut into two pieces that have lengths in a ratio of 3 to 2. find the legnths of the two pieces.
The first piece is 7.2 feet long, and the second piece is 12- 7.2 = 4.8 feet long.
The ratio of the two pieces is 3 to 2. This means that the length of the first piece is 3/5 of the total length, and the length of the second piece is 2/5 of the total length.
If we let x be the length of the first piece, the length of the second piece is:
12 - x
Since the ratio of the two pieces is 3 to 2, we can set up the equation:
(3/5) * 12 = x
Solving for x:
x = 7.2
So, the first piece is 7.2 feet long, and the second piece is 12- 7.2 = 4.8 feet long
To learn more about the ratio, visit:
brainly.com/question/13419413
#SPJ4
1. the probability you'll see a falling star in the sky over the course of one hour is 0.44. what's the probability you'll see one over half an hour? (asked by citadel)
The probability you'll see one over half an hour is 0.26
The term probability in math is defined as the possibility of the outcome of any random event
Here we have given that the probability you'll see a falling star in the sky over the course of one hour is 0.44.
Then in an hour can be taken as two half hours so we can write the probability to see a falling star as
Then it can be written as,
=> (1-P)*(1-P) = 1 - 0.44
When we simplify this one then we get
=> (1 - P)² = 0.56
Here we need to value of p then it can be written as,
=> 1 - P = √0.56
Then the value of P is calculated as,
=> -P = 0.74 - 1
=> P = 0.26
To know more about probability here.
https://brainly.com/question/11234923
#SPJ4
Evaluate. 9^2+2⋅4−5
Please help (40 points)
Answer: 84
Step-by-step explanation:
9^2+2*4-5
Let's solve according to PEMDAS and calculate the exponent first.
That leaves us with
81+2*4-5
Next, it's time to multiply.
81+8-5
From then on, we can just add and subtract to get the final answer:
84
What is the volume of the composite solid? Use 3.14 for pie and round your answer to the nearest cm3. cylinder height is 2.5 radius : 3 inches, cone is height of 3 inches and radius of inches.
(A) 471 cm3
(B) 733 cm3
(c) 707 cm3
(D) 1099cm3
The volume of the composite solid, given the dimensions for the cylinder and cone, is D. 1, 099 cm ³
How to find the volume ?First, find the volume of the cone which can be found by the formula:
= π x radius ² x ( height / 3 )
Height = 3 inches
Radius = 3 inches
The volume is:
= π x radius ² x ( height / 3 )
= π x 3 ² x ( 2.5 / 3 )
= 28.27 inches ³
The volume of the cylinder is :
= π x radius ² x height
= π x 3² x 2. 5
= 70. 69 inch ³
The volume of the composite solid is:
= 28. 27 + 70. 69
= 98.96 inch³
In cm³, this is:
= 98. 96 x 16.3871
= 1, 099 cm ³
Find out more on volume at https://brainly.com/question/13677400
#SPJ1
Residents in a city are charged for water usage every three months. the water bill is computed from a common fee,
along with the amount of water the customers use. the last water bills for 40 residents from two different
neighborhoods are displayed in the histograms.
The interval that contains the median water bill is D: $200 - $225.
The data in tabular form is as follows: ata :
Class interval ------- Frequency -------- Cummulative frequency
100 to 125, ----------- 1 --------------------1
125 to 150 -----------2--------------------3
150 to 175----------- 5 --------------------8
175 to 200----------- 10 ------------------18
200 to 225-----------13------------------ 31
225 to 250 ------------8 -----------------40
Median class = Cumulative frequency / 2
Cumulative frequency= 40
So
Median class = 40 / 2
Median class = 20
The class interval containing the 20th frequency is "200 - 225"
Therefore it is concluded that the interval which contains the median water bill is $200 - $225.
"
Complete question
A histogram titled Neighborhood Monthly water bill has monthly water bill (dollars) on the x-axis and frequency on the y-axis. 100 to 125, 1; 125 to 150, 2; 150 to 175, 5; 175 to 200, 10; 200 to 225, 13; 225 to 250, 8.
Which interval contains the median water bill?
$150–$175
$175–$200
$200–$225
$225–$250
"
You can learn more about median at
https://brainly.com/question/26151333
#SPJ4
Which of the following graphs does NOT describe y as a function of x?
The second graph does not represent the y as a function of x.
What is the function?
A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.
The x value of a point where a vertical line intersects a function represents the input for that output y value.
If we can draw any horizontal line that intersects a graph more than once, then the graph does not represent a function because that y value has more than one input.
If we draw a line parallel to the y-axis it cuts the graph in more than one point.
So, that does not represent a function.
Here, we have given four graphs
Among this, the second graph intersects the x-axis two times,
Hence, the second graph does not represent y as a function of x.
To learn more about the function visit,
https://brainly.com/question/11624077
#SPJ1
please solve for area and perimeter
The area of the shaded region is 36.53 cm^2 and the perimeter of the shaded region is 8π cm.
What is area and perimeter?
The area of a shape or figure is its area, whereas the perimeter of a shape is its outer boundary over a given distance. Area is measured in square units or unit2 while perimeter is measured in the same unit.
The circumference of a shape is known as its perimeter. The lengths of all four sides must be added in order to determine a rectangle's or square's perimeter.
Radius, r = 8 cm
Perimeter of a circle = 2πr
Perimeter of s quarter circle = 2πr/4 = 1/2πr
Perimeter of Shaded part = 1/2 * 2πr
= 1/2 × 2 × π × 8
= 8πcm.
Area of a circle = 2πr²
Area of quarter circle = 2πr²/4 = 1/2πr²
Area of a square = length ²
Area of Shaded part = Area of Quarter-circle - Area of Square
= 0.5π(8)² - 8²
= 0.5π(64) - 64
Area of Shaded part = 36.53 cm^2
Hence, the area of the shaded region is 36.53 cm^2 and the perimeter of the shaded region is 8π cm.
To know more about area and perimeter, click on the link
https://brainly.com/question/20882611
#SPJ1
The large rectangle below represents one whole.
What percent is represented by the shaded area?
%
Grace is making cookies. She has 6 tablespoons of baking soda left in the container. If she uses 2 teaspoons of baking soda for her recipe, how many teaspoons of barking soda will be left??
Answer: 16 Teaspoons
Hope this helps! :)
Step-by-step explanation:
1 Tablespoon= 3 Teaspoons
6 Tablespoons= (6*3) 18 Teaspoons
18 - 2= 16 tsp
The five-number summary for the number of years of experience for each teacher at Carlson High School is shown in the following table. Min 2
Q1 5
Median 8
Q3 11
Max 16
The five-number summary suggests that about 25% of Carlson High School teachers have fewer than how many years of experience?
Answer: 5
Step-by-step explanation:
We are looking for the number of years below the 25th percentile, which is given by the first quartile.
Since the first quartile is 5, we know that about 25% of Carlson High School teachers have fewer than 5 years of experience.
Which of these is a correct step in constructing congruent angles?
A. Use a straightedge and draw an arc across the first arc from a leg of the given angle
B. Use a straightedge to measure the width between the points where the first arc cuts both legs of the given angle
C. Use a compass and draw an arc across both the legs of the given angle
D. Use a compass and join points to make the new leg of the congruent angle
Answer:
C. Use a compass and draw an arc across both the legs of the given angle.
Step-by-step explanation:
Which of these formulas describes the sequence 4, 5, 6, 7,...? (1) 22 n an =+ (3) 3 n an =+(2) 2 21 n ann =++ (4) 31 n an =+
The formula describes the sequence will be aₙ = n + 3. Then the correct option is 3.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The sequence is given below.
4, 5, 6, 7, ....
The first term is 4 and the common difference is given as,
d = 5 - 4
d = 1
Then the formula is given as,
aₙ = 4 + (n - 1) × 1
aₙ = 4 + n - 1
aₙ = n + 3
The formula describes the sequence will be aₙ = n + 3. Then the correct option is 3.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
#SPJ1
Georgina had total stock earnings of $395.50 and a real return of $275.80. The difference is (5 points) due to a sudden drop in the stock market investments due to taxes, inflation, and fees due to a payout to the stockholders due to property taxes and fees charged on gains
The difference between Georgina's total stock earnings and her real return is $119.70. he difference between Georgina's total stock earnings and her real return is $119.70.
What is the difference?
The term "difference" refers to the amount by which one quantity is greater or less than another.
The difference between Georgina's total stock earnings and her real return can be calculated as follows:
Difference = Total stock earnings - Real return
Difference = $395.50 - $275.80
Difference = $119.70
Hence, the difference between Georgina's total stock earnings and her real return is $119.70.
To learn more about the difference, visit:
https://brainly.com/question/148825
#SPJ1
(c) Suppose that L is a line tangent to the boundary of the golf green and parallel to the path of the ball. Let Q be the point where the line is tangent to the circle. Notice that there are two possible positions for Q. Find the possible x-coordinates of Q:
The value x-coordinates which is required is found out to be as Q = -19.41 and +19.41.
The given values are,
radius , r = 35 feet
speed of ball = 11 ft./sec
location of the cup = (0, 0)
starting location the ball = (-40. -50)
In order to find the possible x-coordinates of Q,
The coordinates of the rightmost edge of the golf course = (35, 0)
slope = m = ( y2 - y1)/ ( x2 - x1)
now , the equation for a circle is known as , (x - h)² + (y - k)² = r²
and the center of the course is given as , (h, k) = (0, 0)
Therefore the equation becomes (x - 0)² + (y - 0)² = x² + y² = 35²
equation of tangent , y = -3x/2
putting this value in the tangent = x² + ( -3x/2 )² = 35²
13x² /4 = 35²
x = √ ( 35² x 4 )/ 4 = 35²
x = 70/13√ 13 = 19.41
Therefore, the coordinates of Q are found out to be as -19.41 and +19.41
To learn more about circles
brainly.com/question/29142813
#SPJ4
(b) Using a scale of 2 cm to 1 unit on x-axis and 2 cm to 2 units on the y-axis, draw on a graph sheet two perpendicular axes Ox and Oy for -5≤x≤5 and -12 ≤ y ≤12
A graph will be drawn where a scale of 2 cm to 1 unit on x-axis and 2 cm to 2 units on the y-axis, draw on a graph sheet two perpendicular axes
What is called graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.
What are the 6 types of graphs?Types of Graphs and Charts
Statistical Graphs (bar graph, pie graph, line graph, etc.)
Exponential Graphs.
Logarithmic Graphs.
Trigonometric Graphs.
Frequency Distribution Graph.
To learn more about graphs, click the following link:-
https://brainly.com/question/2264373
#SPJ1
Hint: Find the value of x first, then substitute the answer into 2x - 24.
The measure of angle BFG is
The measure of the value of corresponding angle is found as : ∠BFG = 76.
Define the term corresponding angles?Corresponding angles refer to the angles on the similar corners of two lines, which are often parallel and are crossed with another line (referred to as the transversal). The angles created when a transversal intersects two parallel lines have been known as corresponding angles. Typical examples of equivalent angles include opening and closing a lunchbox, resolving a Rubik's cube, as well as endless parallel railroad tracks.For the given question:
Given values:
∠BCD = x + 26∠BFG = 2x - 24∠BCD = ∠BFG (Corresponding angles)
x + 26 = 2x - 24
2x - x = 26 + 24
x = 50
Then,
∠BFG = 2*50 - 24
∠BFG = 100 - 24
∠BFG = 76
Thus, the measure of the value of corresponding angle is found as : ∠BFG = 76.
To know more about the corresponding angles, here
https://brainly.com/question/22190474
#SPJ1
the complete question is-
Hint: Find the value of x first, then substitute the answer into 2x - 24.
The measure of angle BFG is ___.
∠BCD = x + 26
∠BFG = 2x - 24
There are several sets of three different numbers whose sum is 15 which can be chosen from {1,2,3,4,5,6,7,8,9}. How many of these sets contain a 5 ?
Answer is 4 of these sets contain a 5 in sets of three different numbers whose sum is 15
These problems are really brute force, there is no real clever way. I only just listed all possible combinations
HOWEVER, notice in answer.
5 1 9
5 2 8
5 3 7
5 4 6
Since ALL the sets contain a 5, we just subtract 5 from 15.
So we need TWO terms in a set and they add up to 10, and also are unique.
This is quite easy.
1 9
2 8
3 7
4 6
5 5 (does not work because cannot repeat digit)
thus , answer is 4 of these sets contain a 5 in sets of three different numbers whose sum is 15
To know more about set visit brainly.com/question/8053622
#SPJ4
consider an undirected graph with n vertices and m edges. what are the minimum and maximum number of connected components that the graph could have, respectively?
The maximum is N*(N-1)/2 and the minimum is N-1 if there are N vertices.
Proof:
Consider an adjacency matrix where each entry is either 1 (to denote the presence of an edge) or 0 (to indicate the absence of an edge) (to indicate the absence of an edge). Each row of the upper triangle must have at least one "1" in order for a graph to be connected.
By merely placing one 1 in each row of the upper triangle, the minimum is reached. Now, if the adjacency matrix is N by N, the first row will have N-1 elements in the upper triangle, the second row will have N-2 elements, the third row will have N, the fourth row will have N, and so on until the last row will have 0 items. Consequently, there are N total rows "with an upper triangle", each with only one 1. Hence, the number of edges in N-1.
The maximum occurs if every element of the upper triangle has one. Now, the number of elements in the upper triangle of the whole matrix is
1 + 2 + ... + (N-2) + (N-1) = N*(N-1)/2.
Know more about vertices at:
https://brainly.com/question/21191648
#SPJ4
A billiard ball starts 86\,\text{cm}86cm86, start text, c, m, end text from the corner pocket, as shown. The ball rolls 120\,\text{cm}120cm120, start text, c, m, end text in another direction, hits a rail, and rolls another 100\, \text{cm}100cm100, start text, c, m, end text into the pocket.
The angle is 45 degrees between the trajectories the ball takes before and after hitting the rail.
What are equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value
To determine the value A statement is not an equation if it has no "equal to" sign.
A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation.
Hence, The angle is 45 degrees between the trajectories the ball takes before and after hitting the rail.
learn more about equations click here:
brainly.com/question/2972832
#SPJ4
11. the data shows mean concentrations (mg/l) of pollutants in rainwater leaving either green or conventional roofs. which would be needed to calculate the total amount of a pollutant leaving the roof during and following a rainstorm
The data shows mean concentrations (mg/l) of pollutants in rainwater leaving either green or conventional roofs. Correct Option is: (D)The Total Volume of Rainfall is needed to calculate the total amount of a pollutant leaving the roof during and following a rainstorm.
Volume:
Precipitation intensity is the water depth (mm) recorded during a shower divided by the duration of the shower (hours).
Expresses water depth per hour in millimeters (mm/hour).
[tex]rainfall intensity = total amount of rainwater(mm)/ duration of the rainfall (hours)[/tex]
A volume is a measure of three-dimensional space. Often quantified numerically using SI units (such as cubic meters and liters) or using various imperial or US customary units (such as gallons, quarts, and cubic inches). The definition of length (cube) relates to volume. Container volume is generally understood to mean the capacity of the container. That is, the amount of liquid (gas or liquid) that the container can hold, not the amount of space that the container itself moves.
In ancient times, volume was measured using similarly shaped natural vessels and later standardized vessels. The volume of some simple 3D shapes can be easily calculated using arithmetic formulas. The volume of more complex shapes can be calculated using integral calculations if there is an equation that constrains the shape. Zero, one, and two dimensional objects have no volume. In four dimensions and above, a concept analogous to ordinary volumes is a hypervolume.
Volume of Rainfall:
The Average Rainfall = Depth x Radius x Radius x 3.14. The area at the top of the bucket (this is the area where rain is collected). Dividing the precipitation by this area will give you the precipitation.
Complete Question:
The data in the table show mean concentrations (mg/L)(mg/L) of pollutants in rainwater leaving either green or conventional roofs. Which of the following data would be needed to calculate the total amount of a pollutant leaving the roof during and following a rainstorm?
A) Distance from street level to roof
B) Duration of the rain event
C) Total number of plants on the roof
D) Total volume of rainfall
Learn more about Volume:
https://brainly.com/question/1578538
#SPJ4
