The dimensions of the rectangle are either 25" by 8" or 20" by 10".
What is perimeter and area?The perimeter of a two-dimensional shape is the space surrounding it. It is calculated using length units like inches or metres. The lengths of all the sides of a rectangle are added up to determine its perimeter.
Area is a unit used to describe how much room there is inside a two-dimensional form. It is calculated using area units like square inches or square metres. A rectangle's area is calculated by multiplying its length by its width.
The perimeter of the rectangle is given as:
Perimeter = 2(length + width)
Substituting the value we have:
90 = 2(L + W)
45 = L + W
Now, the area is given as:
Area = length × width
Substituting the values we have:
200 = L × W
The above equation can be written as:
W = 200/L
Substituting the value of W in the first equation we have:
45 = L + 200/L
45L = L² + 200
L² - 45L + 200 = 0
L = (45 ± √(45² - 4×1×200)) / (2×1)
L = (45 ± 5) / 2
L = 25 or L = 20
Now, for L = 25 the value of W is:
W = 200 / 25 = 8
For L = 20:
W = 200 / 20 = 10
Hence, the dimensions of the rectangle are either 25" by 8" or 20" by 10".
Learn more about perimeter here:
https://brainly.com/question/6465134
#SPJ1
ADD: (Give answer in simplest form)
6 2/7+7 1/2
A large company put out an advertisement in a magazine for a job opening. The first day the magazine was published the company got 120 responses, but the responses were declining by 10% each day. Assuming the pattern continued, how many total responses would the company get over the course of the first 18 days after the magazine was published, to the nearest whole number?
The company would get a total of 1200 responses over the course of the first 18 days after the magazine was published, to the nearest whole number.
What is meant by days?
Days refer to the 24-hour period of time that is based on the rotation of the Earth on its axis. It is a unit of time commonly used in calendars, schedules, and daily life.
Explain whole numbers
Whole numbers are positive integers including zero. They are used to count and represent quantities of discrete objects or entities in mathematics.
According to the given information
The sum of the first n terms of a geometric sequence with first term a and common ratio r is given by the formula S_n = a(1 - rⁿ)/(1 - r).
In this case, we want to find the sum of the first 18 terms of the sequence, so n = 18. Substituting the values for a, r, and n into the formula for S_n, we get:
S_18 = 120(1 - 0.9¹⁸)/(1 - 0.9)
≈ 1200
So the company would get a total of 1200 responses over the course of the first 18 days after the magazine was published, to the nearest whole number.
To know more about whole numbers visit
brainly.com/question/19161857
#SPJ1
3PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST
Answer: x= 7191.509 ft
Step-by-step explanation:
Sin9/1 = 1125/x
X/1 = 1125/sin9
Which graph is that of the inequality shown below
A graph which is that of the inequality shown include the following: D. Graph D.
How to graph the solution to this linear inequality?In order to to graph the solution to the given linear inequality on a coordinate plane, we would use an online graphing calculator to plot the given linear inequality and then take note of the points that lie on its line;
y ≥ -3x + 1
Next, we would use an online graphing calculator to plot the given linear inequality as shown in the graph attached below.
Based on the graph (see attachment), we can logically deduce that a possible solution for the linear equation is the ordered pairs (0, 1) and (1, -2), with a solid line that is shaded above to indicate the solution, and this must be represented with the greater than or equal to (>) inequality symbol.
Read more on inequality here: brainly.com/question/27976143
#SPJ1
The Orchard Cafe has found that about 4% of the diners who make reservations don't show up. If 81 reservations have been made, how many diners can be expected to show up
The Orchard Cafe can expect approximately 77 diners to show up out of the 81 reservations made
To determine how many diners can be expected to show up at The Orchard Cafe, we can follow these steps:
1. Identify the percentage of diners who actually show up: Since 4% of diners with reservations don't show up, the percentage of diners who do show up is 100% - 4% = 96%.
2. Calculate the expected number of diners who show up: Multiply the total number of reservations (81) by the percentage of diners who show up (96%).
81 reservations x 0.96 (96% as a decimal) = 77.76
Since the number of diners must be a whole number, you can round the result to the nearest whole number.
In this case, 77.76 can be rounded down to 77.
Your answer: The Orchard Cafe can expect approximately 77 diners to show up out of the 81 reservations made.
To know more about "Whole numbere" refer here:
https://brainly.com/question/13242016#
#SPJ11
study of ancient pottery. refer to the chance (fall 2000) study of ancient pottery found at the greek settlement of phylakopi, presented in exercise 2.14 (p. 36). of the 837 pottery pieces uncovered at the excavation site, 183 were painted. these painted pieces included 14 painted in a curvilinear decoration, 165 painted in a geometric decoration, and 4 painted in a naturalistic decoration. suppose 1 of the 837 pottery pieces is selected and examined. a. what is the probability that the pottery piece is painted? b. given that the pottery piece is painted, what is the probability that it is painted in a curvilinear decoration?
To discover the probability that the ceramics piece is painted, we basically separate the number of painted pieces by the whole number of pieces: P(painted) = 183/837 ≈ 0.2185
b. To discover the likelihood that the painted ceramics piece is painted in a curvilinear enhancement, we utilize Bayes' hypothesis:
P(curvilinear | painted) = P(painted | curvilinear) * P(curvilinear) / P(painted)
We are given that there are 183 painted pieces, of which 14 are painted in a curvilinear enrichment. In this manner,
P(painted | curvilinear) = 14/183 ≈ 0.0765
We are moreover given that there are 837 pieces in add up, of which 183 are painted.
P(painted) = 183/837 ≈ 0.2185, we ought to discover the likelihood that a painted piece is painted in a curvilinear enrichment, which is given as 14 out of 183 painted pieces. P(curvilinear) = 14/183 ≈ 0.0765
P(curvilinear | painted) = (0.0765) * (0.0765) / (0.2185) ≈ 0.0266
thus, given that the pottery piece is painted, the likelihood that it is painted in a curvilinear enhancement is roughly 0.0266, or 2.66%.
To learn about probability visit:
https://brainly.com/question/31120123
#SPJ4
Jerome is a photographer. He earns $125 per hour
(d) Part D
Create a graph of the data from the table.
The graph of the data from the table is added as an attachment
Creating a graph of the data from the table.From the question, we have the following parameters that can be used in our computation:
Jerome is a photographer. He earns $125 per hour
This means that the equation of the function is
f(x) = 125x
Where x is the number of hours he works
Using the above as a guide, we have the following table of values
x f(x)
1 125
2 250
3 375
4 500
5 625
6 750
Next, we plot the graph from the table of values and the function f(x) = 125x
The graph of the function is added as an attachment
Read more about linear relation at
https://brainly.com/question/30318449
#SPJ1
i will give first answer brainliest
Help it a screenshot
The equation will be w = 40b
How do you formulate an equation for the scenario provided?To find the total weight (w) of the soil in pounds when Yuki stacks b bags, you can use a simple linear equation. Each bag weighs 40 pounds, so the equation will be: w = 40b
This equation shows that the total weight (w) of the soil in pounds is equal to the number of bags (b) multiplied by the weight of each bag (40 pounds).
The above answer is based on the information below as seen in the picture;
Yuki works at a garden store. She is stacking 40 pounds bags of soil.
write an equation that gives the total weight, w, of the soil in pounds when Yuki stacks b bags.
+ - . = b, w, 40
Find more exercises on equations;
https://brainly.com/question/29220113
#SPJ1
1. a small electronics store has begun to advertise in the local newspaper. before advertising, the long-term average weekly sales were $9,820. a random sample of 50 weeks while the newspaper ads were running gave a sample mean weekly sales of
The null hypothesis is that the population mean weekly sales are $9820. The alternate hypothesis is that they are greater than $9820. The calculated t-value is 7.45, which is greater than the critical value of 1.677. Therefore, we reject the null hypothesis and conclude that the population mean weekly sales are higher than $9820.
To test whether the population mean weekly sales have increased after advertising, we can use a one-sample t-test.
The null hypothesis is that the population mean weekly sales have not increased, which means the population mean is still $9820:
H0: μ = $9820
The alternative hypothesis is that the population mean weekly sales have increased, which means the population mean is greater than $9820:
Ha: μ > $9820
The significance level is 0.05, so we need to calculate the critical value of t for a one-tailed test with 49 degrees of freedom (n-1), which is 1.677.
To calculate the test statistic, we can use the formula:
t = (X - μ) / (s / √n)
Where X is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.
Given that the sample mean is X = $10960, the hypothesized population mean is μ = $9820, the sample size is n = 50, and the population standard deviation is θ = $1580, we can calculate the sample standard deviation:
s = θ / √n = $1580 / √50 = $223.61
Now we can calculate the test statistic:
t = (X - μ) / (s / √n) = ($10960 - $9820) / ($223.61 / √50) = 7.45
Since the calculated t-value (7.45) is greater than the critical t-value (1.677), we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the population mean weekly sales have increased after advertising.
Therefore, we can infer that the advertising campaign in the local newspaper has been effective in increasing the sales of the electronics store.
To know more about Null hypothesis:
https://brainly.com/question/28920252
#SPJ4
--The given question is incomplete, the complete question is given
" a small electronics store has begun to advertise in the local newspaper. before advertising, the long term average weekly sales $9820. a random of 50 weeks while the newspaper ads were running gave a sample mean weekly sale of x = $10960. Does this indicate that the population mean weekly sales is now more than $9820? test at the 5% level of significance. Assume theta = $1580.
A. state the null and alternate hypothesis.
B. Compute the or t va;ue of the sample test statistic.
C. Find the critical value(s).
D. based on the answers to a-c, what is your conclusion?"--
A pizza with a diameter of 18 inches is cut into 10 equal slices. To the nearest square inch , what is the area of each slice of pizza
If a pizza with an 18-inch diameter is divided into 10 equal pieces, then each slice will have a surface area of roughly 25.45 square inches.
What is diameter?Diameter is defined as a straight line across the middle of a body or figure, particularly a circle or sphere. Pizza diameter is the length of a straight line that touches two locations on the edge of a pizza pie and passes through its center.
Each sector of the pizza, which is divided into 12 equal sections, has an arc measurement of 360/10= 36 degrees.
As = (360÷Ф) ×X r² where x is the measure of the intercepted wave, yields the area of a sector.
We know that x=36 and
d=18→r=9 in. Thus, r is the radius and A is the area of each intersecting arc of a sector.
A=1/10×81π
then each slice will have a surface area of roughly 25.45 square inches.
To know more about diameter visit:
brainly.com/question/5501950
#SPJ1
A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.
5, 5, 6, 8, 10, 15, 18, 20, 20, 20, 20, 20, 20
A graph titled Donations to Charity in Dollars. The x-axis is labeled 1 to 5, 6 to 10, 11 to 15, and 16 to 20. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 1 to 5, up to 3 above 6 to 10, up to 1 above 11 to 15, and up to 7 above 16 to 20.
Which measure of variability should the charity use to accurately represent the data? Explain your answer.
The range of 13 is the most accurate to use, since the data is skewed.
The IQR of 13 is the most accurate to use, since the data is skewed.
The range of 20 is the most accurate to use to show that they have plenty of money.
The IQR of 20 is the most accurate to use to show that they need more money.
The measure of variability that the charity should use to accurately represent the data is B. The IQR of 13 is the most accurate to use, since the data is skewed.
Why is the IQR the better option ?The charity should use the Interquartile Range (IQR) as the measure of variability since the data is skewed. The IQR measures the range of the middle 50% of the data, which is less affected by outliers or skewed data.
Q1 is the median of the first half of the data: 5, 5, 6, 8, 10, 15 (Q1 = 7)
Q3 is the median of the second half of the data: 15, 18, 20, 20, 20, 20, 20 (Q3 = 20)
Now, we can calculate the IQR:
IQR = Q3 - Q1
IQR = 20 - 7
IQR = 13
Find out more on the Interquartile Range at https://brainly.com/question/4102829
#SPJ1
On a piece of paper, use a protractor to construct a triangle with angle measures of 40° and 60º.
What is the measure of the third angle?
Responses
60°
80°
100°
180°
The measure of the third angle in the triangle is 80 degrees.
What is the measure of the third angle?The sum of the angles in a triangle is always 180 degrees.
Therefore, to find the measure of the third angle in the triangle with angle measures of 40° and 60°,
We can subtract the sum of these two angles from 180°:
180° - (40° + 60°) = 180° - 100° = 80°
Therefore, the measure of the third angle in the triangle is 80 degrees.
Read more about triangle at
https://brainly.com/question/14285697
#SPJ1
The letters r and θ represent polar coordinates. Write the equation using rectangular coordinates (x, y).
r sin θ = 10
y = 10
x = 10
y = 10x
x = 10y
The equation r · sin θ = 10 in rectangular coordinates is equal to y = 10.
How to find the equation in rectangular coordinates
Herein we find the representation of a equation in polar coordinates, whose form in rectangular coordinates. This can be done by using the following definitions:
cos θ = x / r
sin θ = y / r
Where:
θ - Angle, in degrees. x, y - Legs of the right triangle.r - Hypotenuse of the right triangle.Then, the equation in polar coordinates is:
r · sin θ = 10
y = 10
To learn more on rectangular coordinates: https://brainly.com/question/29285264
#SPJ1
PLEASE HELP ME WITH THIS MATH PROBLEM!!!!
Marcus plays a game in which he spins a spinner over and over again. The spinner has 4 equally sized sections labeled E, F, G, and H. Spinning an E six times means the game is over.
Marcus uses a uniform probability model to predict the number of times the spinner will be spun before the letter E appears 6 times.
What is Marcus's prediction for the number of total spins before the letter E appears 6 times?
10 spins
18 spins
24 spins
30 spins
Answer- 24 spins
The probability of getting an E on a single spin is 1/4. The probability of not getting an E on a single spin is 3/4.
To find the expected number of spins before getting 6 E's, we can use the negative binomial distribution.
The formula for the expected value of a negative binomial distribution is:
E(X) = r * (1/p)
where:
- X is the random variable representing the number of spins until the 6th E appears
- r is the number of successes we want (in this case, 6)
- p is the probability of success (in this case, 1/4)
E(X) = 6 * (1/(1/4)) = 24
Therefore, Marcus's prediction for the number of total spins before the letter E appears 6 times is 24.
So the answer is 24 spins.
PLS HELP. What is the frequency of the numbers 6-10?
The cumulative frequency of the numbers 6-10 is thus 2 + 0 + 1 + 1 + 0 = 4.
How to calculate the frequency of the number?To determine the frequency of the numbers 6-10 in this stem-and-leaf plot, examine the second row, which has a stem of 1 and leaves of 0 0 2 3 6 6. This row displays the digits 10, 10, 12, 13, 16, and 16, which correspond to 6 students who sold between ten and nineteen lollipops.
Because 2 of these 6 pupils sold exactly six lollipops (represented by leaf 06), the frequency of the number six is two.
There are no students who sold 7 lollipops exactly.
Because one kid sold exactly eight lollipops (represented by the leaf 08), the number 8 has a frequency of one.
One student sold exactly nine lollipops (represented by the number 9) As a result, the frequency of the number 9 is 1.
Zero students sold a total of ten lollipops.
The cumulative frequency of the numbers 6-10 is thus 2 + 0 + 1 + 1 + 0 = 4.
Learn more about frequency of number here:
https://brainly.com/question/13193436
#SPJ1
Divide. Give the Quotient and Remainder. 520 / 22
Answer:
Quotient=23 and remainder=14
What is the value for x.
The value of x is 3 unit.
The correct option is B.
We have,
P = 3√2/2
Angle= 45
Using Trigonometry
cos 45 = B /H
1/√2 = ( 3√2/2)/ x
x= 3√2/2 . √2
x = 6/2
x= 3 unit
Learn more about Trigonometry here:
https://brainly.com/question/29002217
#SPJ1
Find the volume of the figure below:
The volume of the cylinder is 3532.5 metres cube.
How to find the volume of a cylinder?The figure above is a cylinder. The volume of the cylinder can be found as follows:
volume of a cylinder = πr²h
where
r = radiush = heightTherefore, let's find the height using Pythagoras's theorem.
25² - 15² = h²
h² = 625 - 225
h = √400
h = 20 metres
Hence,
volume of a cylinder = 3.14 × 7.5² × 20
volume of a cylinder = 3532.5 metres cube
learn more on volume here: https://brainly.com/question/4449341
#SPJ1
What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?
-3x^2-298=60x-1
Thus, the intermediate step in the form (x+a)² = b as a result of completing the square for the given equation is - (x + 10)² = 1 /3.
Define the term "completing the square":A quadratic equation can be made together into perfect square trinomial simply adding or removing elements from both sides, a technique known as "completing the square."
You can use the square's completion as another mathematical tool to solve a variety of problems:
Make algebraic statements simplersolve quadratic problemsTransform expressions between different forms.Quadratic functions' minimum and maximum values should be determined.Given expression:
-3x² - 298 = 60x - 1
isolating the x values:
-3x² - 60x = 298 - 1
-3x² - 60x = 299
Taking -3 common from the left hand side:
-3(x² + 20x) = 299
x² + 20x = - 299/3
This, can be written as:
x² + 2*10x = - 299/3
add both side by 100
x² + 2*10x + 100 = - 299/3 + 100
On simplification:
(x + 10)² = (-299 + 300) /3
(x + 10)² = 1 /3
Comparing obtained expression with the given form: (x+a)²=b
a = 10 and b = 1/3
Thus, the intermediate step in the form (x+a)² = b as a result of completing the square for the given equation is - (x + 10)² = 1 /3.
Know more about the completing the square
https://brainly.com/question/13981588
#SPJ1
Section 2-5 Three-Dimensional Figures • Classwork
Question 1 of 15
Question 1
Find the surface area and volume of the solid. Round each measure to the nearest tenth, if necessary.
4.0 cm
2.4 cm
2.0 cm
3.2 cm
The Surface area of the triangular prism is 26.88 cm².
The Volume of the triangular prism is 7.68 cm³.
What is the Surface Area and Volume of the Solid?The formulas we would used are:
Surface area of triangular prism = (S1 + S2 + S3)(L) + bh
Volume of triangular prism = 1/2 * base * height * length of prism
Perimeter of the triangular face = (S1 + S2 + S3) = 4.0 + 3.2 + 2.4 = 9.6 cm
Length of prism = 2.0 cm
base of triangular face (b) = 3.2 cm
height of triangular face (h) = 2.4 cm
Plug in the values:
Surface area of triangular prism = (9.6)(2.0) + (3.2)(2.4) = 26.88 cm²
Volume of triangular prism = 1/2 * 3.2 * 2.4 * 2.0 = 7.68 cm³
Learn more about Surface area on:
https://brainly.com/question/30337697
#SPJ1
Ken ran from one corner of a field to the opposite corner, a distance of 85 meters. Then he ran along its length, a distance of 77 meters. How wide is the field?
Answer:
24 meters
Step-by-step explanation:
We can use Pythagoras' theorem to solve this problem. Let's call the width of the field "w". We know that Ken ran from one corner of the field to the opposite corner, a distance of 85 meters. This distance is equal to the hypotenuse of a right triangle whose legs are the length and width of the field. We also know that Ken ran along its length, a distance of 77 meters. This length is one of the legs of the right triangle.
Using Pythagoras' theorem, we can write:
w^2 + 77^2 = 85^2
Simplifying this equation gives:
w^2 = 85^2 - 77^2
w^2 = 576
Taking the square root of both sides gives:
w = sqrt(576)
w = 24
Therefore, the width of the field is 24 meters 1.
I hope this helps!
Assume that A and B are independent events.
a. Explain why P(B) = P(B|A) and P(A) = P(A|B).
b. Can P(A and B) also be defined as P(B) • P(A|B)?
Justify your reasoning.
Assume that A and B are independent events. it means that the occurrence of event A does not affect the probability of event B and vice versa.
b. Assume that A and B are independent events. My response is Yes, P(A and B) can be defined as P(B) • P(A|B).
Why the reasoning above?In the event that A and B are independent events, at that point the probability of A happening is one that is influenced by the event of B and vice versa. Hence, P(B) is comparable to P(B|A), showing that the probability of occasion B happening remains unaltered in any case of event A's event. Within the same vein, the likelihood of event A happening remains consistent whether event B has stay put or not, indicated as P(A) = P(A|B).
Therefore in response to question 2, The reason why independent events are not affected by one another is that the likelihood of one event happening has no effect on the probability of the other event occurring.
Learn more about probability from
https://brainly.com/question/24756209
#SPJ1
What is the factored form of x² + 5x+6?
The factored form of the expression x² + 5x+6 is (x + 3)(x + 2)
How to determine the factorized formTo factorize the quadratic equation, we need to take the following steps;
Multiply the coefficient of the x squared by the constant value, we have;
6
Now, find the pair factors of the product that would add up to give 5, we have;
2 + 3
Substitute the values into the expression, we have;
x² + 2x + 3x + 6
Now, group the expression in pairs, we have;
(x² + 2x) + (3x + 6)
Factorize the expressions
x(x + 2) + 3(x + 2)
Then, we have;
x + 3
x + 2
Learn about factorization at: https://brainly.com/question/25829061
#SPJ1
Please help!!! I don't know how to find the area of this shaded shape, can someone explain this! Thank you.
Answer: The way you can find the area of this shape is by splitting the shape into a triangle and a square find the areas of each shape and then add the values.
Step-by-step explanation:
State the value of the length or ratio based on the triangle pictured.
10. length of side opposite ZA
21
20
B
12. length of hypotenuse
14. cos A
11. length of side adjacent ZA
13. sin A
15. tan A
Answer:
see explanation
Step-by-step explanation:
10
length of side opposite ∠ A is BC = 20
11
length of side adjacent to ∠ A is AC = 21
12
length of hypotenuse is AB = 29
13
sin A = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{20}{29}[/tex]
14
cos A = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{21}{29}[/tex]
15
tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{20}{21}[/tex]
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is blue or green? Write your result as a simple decimal rounded to the thousandths place.
The probability that a ball picked at random is blue or green is equal to 0.619 to the nearest thousandth.
What is probability?The probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.
The total possible outcome = 8 + 7 + 6 = 21
probability of picking a blue ball = 7/21
probability of picking a green ball = 6/21
probability of picking a blue or green ball = 7/21 + 6/21
probability of picking a blue or green ball = (7 + 6)/21
probability of picking a blue or green ball = 13/21
probability of picking a blue or green ball = 0.6190
Therefore, the probability that a ball picked at random is blue or green is equal to 0.619 to the nearest thousandth.
Read more about probability here:https://brainly.com/question/251701
#SPJ1
The answer please thank uu
Answer:
1. is (18,4)
2. is (8,10)
3. (-9,-8)
4. (9,-8)
Step-by-step explanation:
i promise its right please give brainliest
help me right now
Mixed numbers with unlike denominators ______ be subtracted from each other.
A. Mixed numbers with unlike denominators cannot be subtracted from each other.
B. Mixed numbers with unlike denominators can be subtracted from each other.
Answer:
B. Mixed numbers with unlike denominators can be subtracted from each other.
Step-by-step explanation:
Mixed numbers are numbers that have a whole part and a fractional part, such as 2 1/4 or 3 3/5. Unlike denominators are fractions that have different numbers in the bottom, such as 1/4 and 3/5. They are also called unlikeable denominators because they make math harder and more annoying. Who likes to deal with fractions anyway?
Mixed numbers with unlike denominators can be subtracted from each other, but only if you follow some tedious steps. First, you have to find a common denominator for the fractions, which is the smallest number that both denominators can divide into. This is like finding a common enemy for two rival gangs. For example, to subtract 2 1/4 from 3 3/5, we need to find a common denominator for 1/4 and 3/5. The least common denominator is 20, because both 4 and 5 can divide into it. Then, we have to multiply both fractions by the same factor to get equivalent fractions with the same denominator. This is like dressing up both gangs in the same uniform to make them look alike. For example, we multiply 1/4 by 5/5 and 3/5 by 4/4 to get:
2 1/4 = 2 5/20
3 3/5 = 3 12/20
Now we can subtract the fractions by subtracting the numerators and keeping the denominators the same. This is like taking away some members from each gang and seeing who has more left. For example, we subtract 5/20 from 12/20 and get 7/20. Then we subtract 2 from 3 and get 1. Finally, we add the whole part and the fractional part together to get the final answer. This is like adding up the remaining members of one gang and giving them a name. For example, we get:
3 12/20 - 2 5/20 = (3 - 2) + (12/20 - 5/20) = 1 + 7/20 = 1 7/20
Therefore, the correct answer is B. Mixed numbers with unlike denominators can be subtracted from each other. But why would you want to do that? It's much easier to use decimals or percentages instead. Fractions are so last century.
Can somebody help me out?
Answer:
The area of a semicircle is half of the area of the circle. As the area of a circle is πr2. So, the area of a semicircle is 1/2(πr2 ), where r is the radius. The value of π is 3.14 or 22/7.