Answers
I think the best way to do this is by splitting up the trapezoid into two shapes since it is not a regular trapezoid. We can make a split to form a small right triangle on the left and a regular trapezoid on the right.
Small right triangle on the left:
4 inch side length and 6 inch hypotenuse with the Pythagorean theorem will give us the missing side.
missing side = square root of 6^2-4^2 = [tex]2\sqrt{5}[/tex]
Then the area is [tex]\frac{1}{2}*4*2\sqrt{5}=4\sqrt{5}[/tex]
Regular trapezoid on the right:
Area will be [tex]\frac{6+(17-2\sqrt{5})}{2}*4=46-4\sqrt{5}[/tex]
Summing up the two areas to get the total we have [tex]4\sqrt{5}+46-4\sqrt{5}=46[/tex] in^2.
Related Questions
Shakita buys an apple tree and a cherry tree and measures them at the end of every
year for 5 years. After 1 year, the apple tree is 14 feet tall. After 5 years, it is 22 feet
tall. The cherry tree's height is represented by y = 3x + 8.
If both trees grew at a constant rate, which tree was taller when they were planted,
and which grew more quickly?
OA. The cherry tree was taller when the trees were planted, and it also grew
more quickly.
OB. The apple tree was taller when they were planted, but the cherry tree
grew more quickly.
OC. The cherry tree was taller when the trees were planted, but the apple tree
grew more quickly.
D. The apple tree was taller when the trees were planted, and it also grew
more quickly.
PRE
< PREVIOUS
2 of 2
Answers
Answer: B
Step-by-step explanation:
because I did it and it was right lol
Line segment AB in the coordinate plane has endpoints with coordinates A (1,5) and B (9,17). Which of the following is true?
Answers
The correct option- The perpendicular bisector of AB has the slope -1/3.
Explain about the slope of line?The difference between the change in y-values and the change in x-values is known as the slope of a line. This figure represents the slope of a line.
A quantity called the slope of a line is used to quantify how steep a line is. This number may be zero, positive, or negative. Moreover, it may be unreasonable or rational.Any two lines with the same slope are said to be parallel. When a line is rotated 90 degrees, it becomes perpendicular and becomes parallel. Four 90 degree angles result from the intersection of two perpendicular lines.Formula for slope m = (y2 - y1)/(x2 - x1)
Line segment AB coordinates :
A (1,5) and B (9,17).
Slope m1 = (17 - 5)/(9 - 5)
m1 = 12/4
m1 = 3
The line perpendicular to AB.
Let the slope of m2.
The relation between the slopes of perpendicular lines:
m1 x m2 = -1
3 x m2 = -1
m2 = -1/3.
Thus, the slope of the line perpendicular to the given line AB is found as: -1/3.
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Complete question:
AB in the coordinate plane has endpoints with coordinates A (1,5) and B (9,17). Which of the following is true?
The perpendicular bisector of AB has slope 3/2.
The perpendicular bisector of AB has slope -2/3.
The perpendicular bisector of AB has slope -2/3.
The perpendicular bisector of AB has slope -1/3.
Which of the following is a point of tangency on the circle below?
A. Point Y
B. Point Z
C. Point W
D. Point X
Answers
Based on the diagram, the point of tangency is Point Z. Therefore, the answer is B.
What is point of tangency?A point of tangency is a point at which a straight line, called a tangent line, touches a curve or a circle at only one point.
At the point of tangency, the tangent line is perpendicular to the radius of the circle that intersects the point of tangency.
The point of tangency is the point where a tangent line to the circle touches the circle at only one point.
In the given diagram, the line segment XZ appears to be a tangent to the circle.
Therefore, the point of tangency is the point where the line segment XZ touches the circle.
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Describe two different ways to obtain the image below.
Answers
The given image is trapezoid and to obtain the image there are two different ways: 1. Plotting the points 2. Transformations
What is trapezoid?
In geometry, a trapezoid is a four-sided polygon that has at least one pair of parallel sides. The parallel sides of a trapezoid are called bases, while the non-parallel sides are called legs.
The image below appears to be a trapezoid with vertices at A(2,2), B(4,5), C(6,5), and D(8,2). There are several ways to obtain this image, but here are two possible methods:
Method 1: Plotting the Points
One way to obtain the image is to plot the points A, B, C, and D on a coordinate plane, and then connect them in the correct order to form the trapezoid. Here are the steps:
Draw a coordinate plane with x and y axes.
Plot the point A at (2,2).
Plot the point B at (4,5).
Plot the point C at (6,5).
Plot the point D at (8,2).
Connect the points A, B, C, and D in the order ABDC to form the trapezoid.
Method 2: Transformations
Another way to obtain the image is to start with a reference trapezoid with known vertices, and then apply a sequence of transformations to obtain the desired trapezoid. Here are the steps:
Start with a reference trapezoid with vertices at (0,0), (2,3), (4,3), and (6,0). This trapezoid has the same shape as the desired trapezoid, but is located in a different position on the coordinate plane.
Translate the reference trapezoid 2 units to the right and 2 units up by adding (2,2) to each vertex. This results in a trapezoid with vertices at (2,2), (4,5), (6,5), and (8,2), which is the desired trapezoid.
(Optional) Rotate or reflect the trapezoid as desired to obtain different orientations or symmetries.
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Annabelle works in a deli and has been tracking the daily sales of different items over several months. Annabelle found that when there was an increase in the number of cups of hot chocolate sold, the number of cups of coffee sold also increased. Similarly, when there was a decrease in the number of cups of hot chocolate sold, the number of cups of coffee also decreased.
Which of the following is a valid conclusion?
A.
There is no correlation between the sale of hot chocolate and the sale of coffee.
B.
The increase in the sale of hot chocolate caused an increase in the sale of coffee.
C.
The increase in the sale of hot chocolate is correlated to, but not caused by, the sale of coffee.
D.
No conclusion can be drawn about the correlation or causation of the sale of hot chocolate and the sale of coffee.
Answers
Option C is the correct answer. The increase in the sale of hot chocolate is correlated to, but not caused by, the sale of coffee.
What is correlation?
Correlation is a statistical measure that shows how closely two or more variables are linked to one another. It is a measurement of the strength and direction of the linear connection between two variables, in other words.
Based on the information provided, it can be concluded that there is a correlation between the sale of hot chocolate and the sale of coffee.
Option A can't be considered because it conflicts with the material provided.
Option B indicates a causal relationship that cannot be proven merely on the basis of the observed correlation between the sales of hot chocolate and coffee.
Option D is untrue as well because a correlation has been found.
Therefore, option C is the valid conclusion that can be drawn from the given information, stating that the increase in the sale of hot chocolate is correlated to, but not necessarily caused by, the sale of coffee.
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at an airport restaurant, two sodas and four hamburgers cost $12.00. an order of four sodas and two hamburgers costs $9.00. how much does one hamburger cost?
Answers
At an airport restaurant, the cost of one hamburger is $2.50.
How to get the cost of one hamburger?Two sodas and four hamburgers cost $12.00, and an order of four sodas and two hamburgers costs $9.00.
To know the cost of each soda and hamburger, we need to use the equation (x and y)
Use x for soda, and use y for hamburger
Two sodas and four hamburgers cost $12.00
Then, (2 x x) + (4 x y) = 12
2x + 4y = 12
We need to divide the numbers by 2, as follows:
x + 2y = 6
four sodas and two hamburgers cost $9.00
(4 x x) + (2 x y) = 9
4x + 2y = 9
We have to substitute the "x", as follows:
4 (6-2y) + 2y = 9
24 - 8y + 2y = 9
24 - 6y = 9
24 - 9 = 6y
15 = 6y
y = 2.5
Therefore, the cost of one hamburger is $2.50.
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there is a group of five children, where two of the children are twins. in how many ways can i distribute $8$ identical pieces of candy to the children, if the twins must get an equal amount of candy?
Answers
There are 1960 different ways to distribute 8 identical pieces of candy to the five children, where the twins get an equal amount of candy.
First, distribute the candy to the twins.
Split the 8 pieces of candy into two equal parts for the twins using combinations:
C(8, 4)
This means selecting 4 pieces of candy from the 8 identical pieces for one twin, and the remaining 4 pieces will automatically go to the other twin.
C(8, 4) is calculated as:
[tex]^8C_4 = \dfrac{8!}{4!(8-4)!}[/tex]
= 8! / (4! * 4!)
= (8 * 7 * 6 * 5) / (4 * 3 * 2 * 1)
= 70
Now, you have distributed 4 pieces of candy to each of the twins. Y
In this case, you have 6 pieces of candy to distribute among 3 children, and you can use two dividers (bars) to separate the candy for each child.
This can be represented as:
OO|OO|OO
The two bars split the 6 pieces of candy into three sections for the three children.
So, you have C(6 + 2, 2) ways to distribute the remaining candy:
[tex]^{6+2}C_2 = \dfrac{8!}{2!(8-2)!}[/tex]
= 8! / (2!(8 - 2)!)
= 8! / (2! * 6!)
= (8 * 7) / (2 * 1)
= 28
Now, the total number of ways to distribute the candy
Total ways = C(8, 4) * C(8, 2) = 70 * 28 = 1960
So, there are 1960 different ways to distribute.
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. In which step does a mistake first occur?
(24+3 + 10)-14 + 2
Step 1: (8 + 10) -14 + 2
Step 2: 18 -14+2
Step 3: 4 +2
Step 4: 2
NEED HELP ASAP !!
TY
Answers
Answer:
The first one...............
5. the number of people arriving for treatment at an emergency room can be modeled by a poisson process with a mean of 5 people per hour. how many people do you expect to arrive during a 45-min period?
Answers
If the number of people arriving for treatment at an emergency room is modeled by a Poisson process with a mean of 5 people per hour, we can use this information to estimate the expected number of people who will arrive during a 45-minute period.
The Poisson distribution describes the probability of a certain number of events occurring in a fixed interval of time, given the average rate at which the events occur. In this case, the Poisson distribution can be used to estimate the number of people who will arrive during a 45-minute period, given that the mean arrival rate is 5 people per hour.
To calculate the expected number of arrivals, we first need to convert the 45-minute time period into hours. There are 60 minutes in an hour, so 45 minutes is equivalent to 0.75 hours.
Next, we can use the Poisson distribution formula, which is:
P(X = k) = (e^(-λ) * λ^k) / k!
where λ is the mean arrival rate (in this case, 5 people per hour), k is the number of arrivals we are interested in, and e is Euler's number (approximately 2.71828).
Expected number of arrivals = λ * t = 5 * 0.75 = 3.75
Therefore, we can expect approximately 3.75 people to arrive for treatment during a 45-minute period, assuming that the number of arrivals follows a Poisson distribution with a mean of 5 people per hour.
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studies have shown that bats can consume an average of 10 mosquitoes per minute. what is the probability that a bat does not consume any mosquitoes in a 30-second interval?
Answers
The probability that a bat does not consume any mosquitoes in a 30-second interval is 0.0067379 or 0.67%.
In this case, the average rate of mosquitoes consumed by a bat is 10 per minute.
To find the rate for a 30-second interval, calculate the rate for 1 minute and then adjust it for the 30-second interval:
Average rate for 1 minute = 10 mosquitoes
Rate for 30 seconds = [tex]\dfrac{10 \,mosquitoes}{1 \,minute} \times \dfrac{1}{2}[/tex]
= 5 mosquitoes
The Poisson distribution probability mass function is given by:
[tex]\[ P(X = k) = \dfrac{e^{-\lambda} \cdot \lambda^k}{k!} \][/tex]
Where:
[tex]\(\lambda\)[/tex] is the average rate of events.
In this case, to find the probability that k = 0.
So, let's plug in the values:
[tex]\(\lambda = 5\)[/tex]
[tex]\(k = 0\)[/tex], back to the formula as
[tex]\[ P(X = 0) = \dfrac{e^{-5} \cdot 5^0}{0!} \][/tex]
Calculating the probability as
[tex]\[ P(X = 0) = e^{-5}[/tex]
[tex]= 0.0067379[/tex]
Therefore, the probability is 0.0067379 or 0.67%.
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Which system of inequalities has the solution shown in the graph?
Answers
y ≥ x - 1
y < 1/2x
Explanation
We can see on the solid line (≥) that the slope is 1 and the y intercept is -1. This will be a greater than or equal because the line is solid and the shaded area is above the line.
We can see on the dashed line (<) the slope is 1/2 and it crosses through (0,0) so no y intercept. It is less than because the line is dashed and the shaded area is below the line.
Jarvis and his family are at the dine-in movies and wish to purchase some popcom. A large popcom costs $18 and a small popcom costs $12. Jarvis offered to pay for the popcom with $50 in his wallet.
Create an inequality in standard form that describes this situation.
Use the given numbers and the following variables.
• x = the number of large popcoms
• y = the number of small popcorn
Answers
Answer:
18x + 12y ≤ 50
Step-by-step explanation:
Let x be the number of large popcoms and y be the number of small popcoms.
The cost of a large popcom is $18, and the cost of a small popcom is $12. The total cost of purchasing x large popcoms and y small popcoms is given by:
Total cost = 18x + 12y
The problem states that Jarvis has $50 in his wallet to pay for the popcoms. Therefore, we can write the following inequality:
18x + 12y ≤ 50
This inequality represents the situation where Jarvis and his family want to purchase popcoms, and Jarvis has $50 to spend. The inequality ensures that the total cost of the popcoms does not exceed $50.
3 2/5 -1 3/5!!
Please i need help!
Answers
Answer:
Step-by-step explanation:
3 2/5 -1 3/5 = 1.8
A strain of Mycobacterium tuberculosis that is deficient in nonhomologous end joining repair should be more sensitive to damage by
X raysUV radiationGlycosylaseDepurination
Answers
Explanation:
A strain of Mycobacterium tuberculosis that is deficient in nonhomologous end joining repair should be more sensitive to damage by X-rays.
Nonhomologous end joining is a DNA repair mechanism that can join two DNA fragments with little or no homology between them. X-rays, which are high-energy electromagnetic waves, can cause damage to DNA by breaking the strands of the double helix.
This damage can be repaired by mechanisms like nonhomologous end joining, so a strain of Mycobacterium tuberculosis that is deficient in this repair mechanism would be more sensitive to damage by X-rays.
UV radiation, glycosylase, and depurination are not directly related to nonhomologous end joining repair and would not have the same effect.
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a number is five times a smaller number. find the larger number of their difference is 52
Answers
The larger number if the difference of the numbers is 52 is 65.
How to find the larger number?A number is five times a smaller number. Let's find the larger number when their difference is 52.
Therefore,
let
x = smaller number
larger number = 5x
There difference is 52. Hence,
5x - x = 52
4x = 52
divide both sides of the equation by 4
x = 52 / 4
x = 13
Therefore,
larger number = 5(13) = 65
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Answer these for points
Answers
6. f(x)g(x)+h(x) = 20x3-4x. This answer is arrived at by using the rules of algebra and the values of the given functions.
7. f(x)g(x) = -15x2 - 18x - 15
What are polynomials?Polynomials are algebraic expressions consisting of variables and coefficients that are combined through addition, subtraction, multiplication and division operations. For example, the polynomial 4x² + 3x - 5 can be written as the sum of 4x², 3x and -5.
6. In order to calculate f(x) g(x)+h(x), it is necessary to first multiply f(x) and g(x). Since f(x)=4x and g(x) = 5x2-4, it follows that f(x)g(x)=20x3-4x. Next, it is necessary to add h(x) to this product. Since h(x) = 9x, it follows that f(x)g(x)+h(x) = 20x3-4x+9x = 20x3-4x. Since each coefficient is correctly represented in the answer, it follows that the correct answer is 20x3-4x.
Multiplying f(x) and g(x) gives the product of 20x3-4x, and adding h(x) to this product gives the sum of 20x3-4x. As each coefficient is correctly represented in the answer, the correct answer is 20x3-4x.
7. The product of two polynomials is found by multiplying each term of one polynomial by each term of the other polynomial. This is known as the FOIL method (First, Outer, Inner, Last).
The first term is the product of the first terms of each polynomial, which is 3x x 4x = 12x2.
The second term is the product of the outer terms, which is 3x x -5x = -15x2.
The third term is the product of the inner terms, which is 5 x -5x = -25x.
Finally, the fourth term is the product of the last terms of each polynomial, which is 5 x -3 = -15.
We can now combine the terms to get the product of the two polynomials, which is:
f(x)g(x) = -15x2 - 18x - 15.
Therefore, the correct coefficient for each term is -15x2 for the first term, -18x for the second term, and -15 for the third term.
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suppose there exists a hamming code of length 25 that corrects 2 errors. assuming that the probability of a correct transmission of an individual symbol is 0.75, find the probability that a message transmitted using this code will be correctly received.
Answers
The probability that a message transmitted using a Hamming code of length 25 and that corrects 2 errors will be correctly received is 0.6384.
Hamming codes use parity bits to detect and correct errors in the data. In this case, a code of length 25 with 2 error corrections can detect up to two errors and can correct up to one error.
Since the probability of a correct transmission of an individual symbol is 0.75, the probability of a correct transmission of the entire message is calculated by multiplying 0.75 by itself 25 times, giving a probability of 0.6384.
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.. Sasha Abbott earns $62,550.00 in taxable income each year. The tax rate is 3.6%, and she takes zero deductions. How much tax does her employer withhold each year? A $2,380.50 B $2,251.80 C $2,500.40 D $1,823.20
Answers
Answer: B $2,251.80
Step-by-step explanation:
:)
please help!! I need this by the end of tonight..!
Answers
Answer:
y=2.05x
Step-by-step explanation:
Figure out what the total cost is for 1 of them then you put that in as your M value, then X stands for number of sheets so 2.05 multiplied by the number of sheets sold you get your Y which is the total cost in dollars for x sheets.
at 3:25 p.m., two trains left kalamazoo, michigan. one train traveled westward at a constant rate of
Answers
When they are 111 miles apart, the current time is 4:10 p.m.
If the time taken for two trains to be apart by 111 miles by "t" time.
Then at that time, t, the train which is at 82 mph, should have traveled a distance of 82T miles.
d1 = 82t
At the same time, t, the train which is at 66 mph, should have traveled a distance of 66T miles.
d2= 66t
The total distance traveled by both trains is d1 + d2 = D
D = 82t + 66t
D = 148t
From the given data, D = 111
Hence, 148t = 111
Solving the equation, the time t
t = 111÷148
t = 0.75
Converting it into minutes,
t = 0.75*60
t = 45 mins.
The current time ( T ) = the time at which both the trains left ( t1 ) + 45 mins.
T = t1+t
T = 3:25 + 45 min.
T =4:10 pm
Therefore, the current time is 4:10 p.m
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The complete question is-
At 3:25 p.m., two trains left Kalamazoo, Michigan. one train traveled westward at a constant rate of 82 miles per hour, while the other traveled eastward at a constant rate of 66 miles per hour. if they are now 111 miles apart, what time is it now? show your work on how you solved this situation.
5) The graph of the equation y = −3x - 5 is shown below. What would happen to the graph if the slope was changed to 1?
Answers
Answer:
The equation y = -3x - 5 represents a linear function with a slope of -3 and a y-intercept of -5.
To understand what would happen to the graph if the slope was changed to 1, we need to compare the graphs of y = -3x - 5 and y = x - b, where b is some constant.
The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. So, when we change the slope of the equation y = -3x - 5 to 1, we get:
y = x - b
To find the value of b, we can substitute the coordinates of any point on the line. Let's use the y-intercept, which is -5:
-5 = 1(0) - b
b = -(-5)
b = 5
Therefore, the equation y = x - 5 represents the line with a slope of 1 and a y-intercept of 5.
To compare the graphs of y = -3x - 5 and y = x - 5, we can graph both equations on the same coordinate plane. Here's what the two graphs look like:
Graph of y = -3x - 5 (slope = -3, y-intercept = -5):
|
-5| x
| x
| x
| x
| x
| x
x---------------
-3 -2 -1 0 1 2 3
Graph of y = x - 5 (slope = 1, y-intercept = 5):
|
5| x
| x
| x
| x
| x
| x
x---------------
-5 -4 -3 -2 -1 0 1 2 3
As we can see, changing the slope of the equation from -3 to 1 rotates the line counterclockwise and makes it steeper. The y-intercept remains the same at -5.
the gallup poll surveyed a representative sample of american adults and offered a list of seven personal economic problems that many people face. what are the top financial concerns that people have?
Answers
According to a histogram that displays the percentage of replies over time, an April Gallup poll indicated that 55% of Americans think autonomous cars would be widely used in the next ten years.
Whether completely automated "driverless automobiles" would be widely deployed in the United States was the subject of a Gallup Poll conducted in April, which polled Americans ages 18 and older.
How soon, in your opinion, do you believe autonomous cars will be widely used in the US? According to the survey, 55% of Americans think autonomous cars will become commonplace over the next ten years.
The survey's results were displayed as a histogram, displaying the proportion of replies at various time intervals. This indicates how many respondents indicated that driverless cars will be widely utilised within a particular time period (e.g., within 5 years, within 10 years, etc.).
This survey reveals how people feel about autonomous cars in the future and how soon they believe they will be a common sight on the roads.
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The question is -
A Gallup Poll utilizing a random sample of adults ages or older was conducted in April. The survey indicated a majority of Americans () say driverless cars will be common in the next years (). The question asked was: Thinking about fully automated, "driverless cars," cars that use technology to drive and do not need a human driver, based on what you have heard or read, how soon do you think driverless cars will be commonly used in the [United States]? The figure below shows a summary of the results of the survey in a histogram indicating the percentage of the total responses in different time intervals.
Two ships are near a buoy in the open ocean. One ship is 20 km due north of the buoy, and the other ship is 13.5 km due east of the buoy.
Enter a number in the box to correctly complete the statement. Round the answer to the nearest tenth.
Answers
In this instance, the buoy forms the right corner of a triangle made up of the two ships and the buoy. To the closest tenth, the distance between the two ships is roughly [tex]24.1[/tex] km.
What is the distance between two object?To find the distance between the two ships, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the legs
(the sides that form the right angle) is equal to the square of the length of the hypotenuse (the side opposite the right angle).
In this case, the two ships and the buoy form a right triangle, with the buoy at the right angle.
Let d be the distance between the two ships, x be the distance of the northern ship to the buoy and y be the distance of the eastern ship to the buoy. Then we have:
[tex]d^2 = x^2 + y^2[/tex]
Substituting the given values, we get:
[tex]d^2 = (20 km)^2 + (13.5 km)^2[/tex]
[tex]d^2 = 400 km^2 + 182.25 km^2[/tex]
[tex]d^2 = 582.25 km^2[/tex]
[tex]d ≈ 24.1 km[/tex]
Therefore, the distance between the two ships is approximately 24.1 km, rounded to the nearest tenth.
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where is the water table in a swamp? group of answer choices well below the surface. at the surface. well above the surface. generally, 2 miles below the surface.
Answers
Generally, the water table in a swamp is located 2 miles below the surface.
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Show how to change 9^8/7 into a radical expression
Answers
Answer:
Rewrite the expression using the negative exponent rule b−n=1bn b - n = 1 b n . 1y98 1 y 9 8.
Step-by-step explanation:
Translate the figure 5 units left and 5 units up. -10-9 Plot all of the points of the translated figure. You may click a plotted point to delete it.
Answers
I hoped this helped!
: )
Step-by-step explanation:
originally - (6,-1) After translation - (1,4)
originally - (8,-1) After translation - (3,4)
originally - (4,-7) After translation - (-1,-2)
originally - (7,-9) After translation - (3,-4)
originally - (9,-9) After translation - (4,-4)
Suppose the central perk coffee shop sells a cup of espresso for two dollars in a cup of cappuccino for $2. 50 on Friday. Destiny sold 30 more cups of cappuccino then espresso for a total of $178. 50 worth of espresso and cappuccino how many cups of each month old
Answers
Destiny sold 23 cups of espresso and 53 cups of cappuccino on Friday, for a total sales amount of $178.50.
Let's start by defining our variables. Let x be the number of cups of espresso sold and y be the number of cups of cappuccino sold. We know that the price of espresso is $2 per cup and the price of cappuccino is $2.50 per cup. We also know that Destiny sold 30 more cups of cappuccino than espresso and the total sales amount was $178.50.
Using this information, we can create a system of equations to solve for x and y. The first equation comes from the fact that Destiny sold 30 more cups of cappuccino than espresso:
y = x + 30
The second equation comes from the total sales amount:
2x + 2.5y = 178.5
Now we can substitute the first equation into the second equation and solve for x:
2x + 2.5(x + 30) = 178.5
2x + 2.5x + 75 = 178.5
4.5x = 103.5
x = 23
So Destiny sold 23 cups of espresso. Using the first equation, we can find that she sold 53 cups of cappuccino:
y = x + 30
y = 23 + 30
y = 53
Therefore, Destiny sold 23 cups of espresso and 53 cups of cappuccino on Friday, for a total sales amount of $178.50.
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fatima is 1.27m tall. charlotte is 0.89m tall lila is taller than charlotte by half the difference betweem fatimas height and charlottes height. how tall in meters is lila?
Answers
Lila's height is 0.89 + 0.19 = 1.08m.
What is height ?
Height typically refers to the measurement of an object or person from the base to the top, usually measured vertically. It is often used in reference to the physical dimension of a person or object, such as the height of a building, tree, or individual.
According to the question:
In the context of the given problem, height refers to the height of Fatima, Charlotte, and Lila.
Fatima is 1.27 meters tall, Charlotte is 0.89 meters tall, and Lila is taller than Charlotte by half the difference between Fatima's height and Charlotte's height.
The difference between Fatima's height and Charlotte's height is 1.27 - 0.89 = 0.38m.
Half of that difference is 0.38/2 = 0.19m.
So, Lila is taller than Charlotte by 0.19m.
Therefore, Lila's height is 0.89 + 0.19 = 1.08m.
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Factorise p²q-pr²-pq+r²
Answers
p²q - pq - pr² + r²
pq(p - 1) - r²(p - 1) (
(pq - r²)(p - 1)
The factorized form of the expression is:
(pq - r²)(p - 1).
the average of 8 numbers is 14. the average of 6 of those numbers is 12. what is the average of the other two numbers?
Answers
The average of the other two numbers is 16.
This is because the average of 8 numbers is 14, and the average of 6 of those numbers is 12. Therefore, to find the average of the remaining two numbers, you need to find the difference between the average of 8 and the average of 6.
The difference between 14 and 12 is 2. Therefore, if the average of 6 is 12, the average of the remaining two numbers must be 12 + 2 = 16.
To solve this question, you need to use the fact that the average of 8 numbers is 14, and the average of 6 of those numbers is 12. The average of 8 numbers is the sum of all 8 numbers divided by 8. Therefore, if the average of 8 numbers is 14, the sum of all 8 numbers must be 14x8 = 112.
Similarly, the average of 6 numbers is 12, so the sum of those 6 numbers must be 12x6 = 72. The difference between these two sums is 112-72 = 40. This is the sum of the remaining two numbers.
Therefore, if the sum of the remaining two numbers is 40, then the average of the remaining two numbers must be 40/2 = 20.
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