To find the fourth vertex of the rectangle, we can start by drawing a diagram:
========================================
|
| (2,4)
|
--------.--------
|
(?, ?) | (2,1)
|
========================================
We know that opposite sides of a rectangle are parallel, so the fourth vertex must be located on the same horizontal line as the point (2, 1) and the same vertical line as the point (-4, 4). Therefore, the fourth vertex must be located at (-4, 1).
To find the dimensions of the rectangle, we can find the distance between the points (2, 1) and (2, 4) to get the length of one side, and the distance between the points (2, 1) and (-4, 1) to get the length of the other side.
Length = 4 - 1 = 3
Width = 2 - (-4) = 6
So the dimensions of the rectangle are 6 by 3.
To find the area of the rectangle, we can multiply the length and width together:
Area = Length x Width = 6 x 3 = 18 square units.
whats the surface area of this rectangle?
1cm 8cm 4cm
Question:
whats the surface area of this rectangle?
1cm 8cm 4cm
Answer:
13 cm
2(x +3) = 2x + 6 is an example of which property?
The property of the given expression [tex]2(x +3) = 2x + 6[/tex] is an example of Distributive property.
You distribute the 2 to the x and get 2x, then distribute the 2 and the 3. [tex]2\times3=6[/tex]. This gets you [tex]2x+6[/tex].
Answer: Distributive property over addition
Step-by-step explanation: You are distributing 2 to in terms inside the parentheses, x and 3.
PLEASE HELP! DUE TODAY
Find the area of the irregular figure.
Answer: 4,763cm
Step-by-step explanation:
figure out the first rectangle, 70 x 48= 3360
Then find the bottom number with the inner height 38 x 23 = 874
Next, you would move the triangle that is dotted over to the undotted on on the right to get a square giving you 23 x 23 = 529
In the end you add it all 3,360 + 874 + 529 = 4,763
Pls solve show each step
The scale is 1cm = 50m
So height in model = 381/50
= 7.62cm
Answer: 7 31/50 cm
Step-by-step explanation:
The scale is 50 m = 1 cm
381 divided by 50 is 7 r31
This means that the height of his model in centimeters is 7 31/50 cm.
Hope this helps!
WILL MARK BRAINLIEST!!!!!!
A city just opened a new playground for children in the community. An image of the land that the playground is on is shown.
A polygon with a horizontal top side labeled 50 yards. The left vertical side is 35 yards. There is a dashed vertical line segment drawn from the right vertex of the top to the bottom right vertex. There is a dashed horizontal line from the bottom left vertex to the dashed vertical, leaving the length from that intersection to the bottom right vertex as 18 yards. There is another dashed horizontal line that comes from the vertex on the right that intersects the vertical dashed line, and it is labeled 20 yards.
What is the area of the playground?
1,750 square yards
1,855 square yards
2,730 square yards
3,710 square yards
Answer:
1250
Step-by-step explanation:
To calculate the area of the playground, we need to divide it into two smaller polygons: a rectangle and a right triangle.
The rectangle has a width of 50 yards and a height of 18 yards, so its area is:
50 yards x 18 yards = 900 square yards
The right triangle has a base of 20 yards and a height of 35 yards, so its area is:
(20 yards x 35 yards) / 2 = 350 square yards
The total area of the playground is the sum of the areas of the rectangle and the triangle:
900 square yards + 350 square yards = 1250 square yards
Therefore, the answer is not listed among the options provided. Perhaps there was an error in the given dimensions, or the correct answer was not included.
Divide to write 1/9 as a decimal.continue to 3 decimal places. Show your work in the space to the right
help me solve the following with each step explaining square binomial (4x-5y)²
To expand the square of the binomial `(4x-5y)²`, you can use the FOIL method or the binomial square formula:
Using FOIL:
(4x - 5y)² = (4x - 5y)(4x - 5y) (writing out the square as a multiplication of the binomial by itself)
= 16x² - 20xy - 20xy + 25y² (using the FOIL method)
Simplifying:
= 16x² - 40xy + 25y²
Using the binomial square formula:
(4x - 5y)² = (4x)² - 2(4x)(5y) + (5y)² (formula: (a - b)² = a² - 2ab + b²)
= 16x² - 40xy + 25y²
Thus, the expanded form of the binomial `(4x-5y)²` is `16x² - 40xy + 25y²`.
Answer:
i do not know where the following is but here.
Step-by-step explanation:
To square the binomial (4x-5y)², we can use the formula:
(a - b)² = a² - 2ab + b²
In this case, a = 4x and b = 5y. So, we have:
(4x - 5y)² = (4x)² - 2(4x)(5y) + (5y)²
Simplifying the terms inside the parentheses, we get:
= 16x² - 40xy + 25y²
Therefore, the square of the binomial (4x-5y) is equal to the trinomial 16x² - 40xy + 25y².
Each term in the trinomial is obtained by squaring the corresponding term in the binomial and then applying the formula for the cross-product (-2ab).
So, (4x)² = 16x², (5y)² = 25y², and (-2)(4x)(5y) = -40xy.
Therefore, (4x-5y)² = 16x² - 40xy + 25y².
5x=0.4 do i multiply each side by 5,-5,1/5 or -1/5
Step-by-step explanation:
5x=0.4
5x=2/5
Multiply with 5 to remove the fraction
Please answer this question fast.
Answer:
1.5
Step-by-step explanation:
[tex]30\div20[/tex]
The solution is, the scale factor is 1.5.
What is scale factor?A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.
here, we have,
given that,
from the given diagram, we get,
there are two squares with side 20 and, 30
one square is scaled copy of the other,
so, the scale factor is :
length of scaled square/ length of normal square
= 30/ 20
=3/2
=1.5
Hence, The solution is, the scale factor is 1.5.
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Ix+1/2I=3 ( is is the absolute value symbols)
Answer:
x= 2.5 and -3.5
Step-by-step explanation:
To solve the equation Ix+1/2I=3, we can break it down into two cases: one where x+1/2 is positive, and one where x+1/2 is negative.
Case 1: x+1/2 is positive
In this case, the absolute value of x+1/2 is equal to x+1/2 itself. So we can rewrite the equation as x+1/2=3. To solve for x, we subtract 1/2 from both sides: x=3-1/2. Simplifying further, we have x=2.5.
Case 2: x+1/2 is negative
In this case, the absolute value of x+1/2 is equal to -(x+1/2). So we can rewrite the equation as -(x+1/2)=3. To solve for x, we first distribute the negative sign: -x-1/2=3. Then, we add 1/2 to both sides: -x=3+1/2. Simplifying further, we have -x=3.5. To isolate x, we multiply both sides by -1: x=-3.5.
So, the solution to the equation Ix+1/2I=3 is x=2.5 and x=-3.5.
Please help,
(It’s due tomorrow by the way)
Answer:
50x5
Step-by-step explanation:
1) Is this figure a polygon? Yes or no.
Answer:no
Step-by-step explanation:
it does not have 4 sides.
Multiple choice need help
It’s the problems on the top the matching question
Answer:
A3
B1
C2
D4
Step-by-step explanation:
A trucking company needs to move a pile of dirt. The dirt is stored in a pile shaped like a con. The pile is 12 yards hi, and it’s base has a radius of 4 yards. How many truckloads will the company need, if the truck code 6.2 a yard cube of dirt  use 3.14 for pi
5 (10.3) - 4 ( 2 - 2y)
Which angle is complementary to EFA?
Answer: DFE
Step-by-step explanation:
complementay=90 degrees
The diameter D of a sphere is 19.4 CM calculate the spheres volume
Answer:
3821.05
Step-by-step explanation:
To find the volume of a sphere, use the formula [tex]4/3\pi r^3[/tex].
Replace R with 9.7 because the diameter is 19.4 and the radius would be half of that, and the question said to use 3.14 as pi.
So it would be: [tex]4/3*3.14*9.7^3[/tex]
Which would equal: 3821.05
A co-worker notices that the original box costs $0.22 per square foot of cardboard, and the new box costs $0.15 per square foot of cardboard. She claims that the new box must cost less than the original box. Explain why your co-worker's claim is incorrect. Include all necessary work to support your answer.
pls help
Answer:
Original box costs less than the new box.
Step-by-step explanation:
A). original box has a surface are of 216 sq in
2(10x6)+2(6x3)+2(10x3) = 216sq in
216sq in/144sq in = 1.5sq ft
1.5 sq ft x .22 = .33 per sq ft
B) new box has a surface area of 434 sq in
2(15x11) + 2(11x2) + 2(15x2) = 434 sq in
434sq in/144 sq ft = 3.01sq ft
3.01 sq ft x .15 = .45 per sq ft
Part A: What is the volume, in cubic inches, of the sugar cube? show your work.
Answer:
2in cubed
Step-by-step explanation:
since one side is 1/3 inches and they're 6 sides in a cube
We can do 1/3 x 6 which gives us 2 inches cubed
30 pts!!! Which comparison is not correct?
0 < -4
-9 < 1
2 > -3
-7 < -5
HURRY PLS
Answer: A is incorrect
Step-by-step explanation:A. 0 < -4, the value 0 is greater than negative 4. So, this is incorrect.
B. -9 < 1, the value 1 is greater than negative 9. So, this is correct.
C. 2 > -3, the value 2 is greater than negative 3. So, this is correct.
D. -7 < -5, the value negative 5 is greater than negative 7. So, this is correct.
Plot the √50 on the number line below by inserting a dot.
√50 = 7.071
So the dot will be very close to the right side of 7.
Hope my answer helps you✌️
Mark BRAINLIEST
Which angle is adjacent to ADB?
WILL GIVE BRAINLIEST! PLEASE HURRY!!Keiko and Eric each randomly surveyed people with cell phones. They recorded peoples’ ages (a years) and how many texts they send per day on average (t texts). For their respective data, they each drew a line of best-fit and determined its equation. They then compared equations and made inferences based only on the equations they calculated.
Look at the attachment.
Determine how many texts a 16 year old would send based on the trend line equation for both Keiko and Eric. Round to the nearest whole number.
Keiko = 76, Eric = 100
Keiko = 66, Eric = 64
Keiko = 70, Eric = 46
Keiko = 96, Eric = 100
Answer:
Step-by-step explanation:
For Keiko's trend line equation, we have t = 0.95a + 59. Plugging in a = 16, we get t = 0.95(16) + 59 = 74.2. Rounding to the nearest whole number, we get t ≈ 74.
For Eric's trend line equation, we have t = 0.55a + 90. Plugging in a = 16, we get t = 0.55(16) + 90 = 98.8. Rounding to the nearest whole number, we get t ≈ 99.
Therefore, a 16 year old would send approximately 74 texts per day based on Keiko's trend line equation and approximately 99 texts per day based on Eric's trend line equation. So, the answer is Keiko = 74, Eric = 99.
The solution is, a 16 year old would send approximately 74 texts per day based on Keiko's trend line equation and approximately 99 texts per day based on Eric's trend line equation.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
For Keiko's trend line equation,
we have t = 0.95a + 59.
Plugging in a = 16,
we get t = 0.95(16) + 59 = 74.2.
Rounding to the nearest whole number, we get t ≈ 74.
and, we have,
For Eric's trend line equation,
we have t = 0.55a + 90.
Plugging in a = 16,
we get t = 0.55(16) + 90 = 98.8.
Rounding to the nearest whole number, we get t ≈ 99.
Therefore, a 16 year old would send approximately 74 texts per day based on Keiko's trend line equation and approximately 99 texts per day based on Eric's trend line equation.
So, the answer is Keiko = 74, Eric = 99.
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Part A Describe one pattern you see in the repeated table
Part B complete the table.Use long division to check one answer.
0.09
0.18
0.27
0.36
0.45
0.54
0.63
Answer:
One pattern that can be observed in the repeated table is that each number is obtained by adding 0.09 to the previous number.
Step-by-step explanation:
For example, to get from 0.09 to 0.18, we add 0.09. To get from 0.18 to 0.27, we add 0.09 again, and so on. This pattern continues throughout the table, with each number being 0.09 greater than the previous number.
Part A - In the given table we can observe that there is a continuous table of 0.09 till 0.63.
Part B - The table is in the ‘Step by step explanation’
Step-by-step explanation:0.09 * 1 = 0.09 → 0.09 / 1 = 0.090.09 * 2 = 0.18 → 0.18 / 2 = 0.090.09 * 3 = 0.27 → 0.27 / 3 = 0.090.09 * 4 = 0.36 → 0.36 / 4 = 0.090.09 * 5 = 0.45 → 0.45 / 5 = 0.090.09 * 6 = 0.54 → 0.54 / 6 = 0.090.09 * 7 = 0.63 → 0.63 / 7 = 0.090.09 * 8 = 0.72 → 0.72 / 8 = 0.090.09 * 9 = 0.81 → 0.81 / 9 = 0.090.09 * 10 = 0.90 / 0.9 → 0.90 / 10 = 0.09 OR 0.9 / 10 = 0.09
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The dot plot below represents the number of goals scored by the boys' soccer team in every game so far this season. please help me
petra jogs 3 miles in 27 minutes. find the unit rate in minutes per mile. how long would it take for her to jog 5 miles? show your work.
Answer: It would take her 45 minutes to jog 5 miles because first you have to divide 27 by 3 and you get 9 and then you multiply 9 by 5 and you get 45
Solve and show steps
Answer:
Step-by-step explanation:
6.25 inches
Step-by-step explanation:Fraction of an inch that is used to represent 3 miles = 3/4 inch (0.75 inch)
Number of miles that is used to represent 3/4 inch = 3 miles
Fraction of an inch that is used to represent 1 mile = 3/4/3 inch
= 0.75/3
= 0.25 inch
Number of inches that are used to represent 25 miles = 3/4/3 * 25
= 0.75/3 * 25
= 0.25 * 25
= 6.25 inches
So the length of the map = 6.25 inches
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Creative Capacities
Part 1
Directions: Use the information in the chart to answer the questions. Show your
work and include equations to show how you solved each problem. Refer to the unit
glossary terms to remind yourself of the measurement conversions.
Mandy wants to buy a variety of beverages for her brunch party. She
wants to make sure she has enough to drink for all her friends, so she
decides to buy 10 liters of beverages. She also wants to buy at least
one of each beverage.
1. Complete the table to record the amount of each beverage in liters. Show
your work in the space below.
(Hint: 1 liter = 1,000 milliliters
2. If she buys one container of each beverage, how many liters of beverage
will she have
3. What combination of beverages can she buy to equal exactly 10 liters?
Part 2
Directions: Use the information in the chart to answer the questions.
1. Complete the table to record the amount of each beverage in liters.
Show your work in the space below.
(Hint: 1 liter equals 1,000 milliliters
The table shows the average depths of several lakes.
a. Identify the outlier in the data set.
b. Determine how the outlier affects the mean, median, mode, and range of the data.
c. Tell which measure of center best describes the data with and without the outlier.
a. The outlier in the data set is Crater lake with a depth of 1,148 feet.
b. The outlier has a significant effect on the mean and range of the data but no effect on the median and mode.
c. The median and mode are measures of center that are less influenced by outliers, so they best describe the data with or without the outlier.
What does outlier means in Statistics?An outlier is a single data point that deviates significantly from the average value of a set of statistics. Outliers are exceptions that exist outside of individual population samples.
How does outlier affects the mean, median, mode, and range of the data?The mean is heavily influenced by outliers, so the outlier in this case increases the mean depth of the lakes. The range is the difference between the highest and lowest values, so the outlier also increases the range.
Which measure of center best describes the data with and without the outlier?Without the outlier, the median depth is 33.5 feet, which is closer to the majority of the depths in the data set. Therefore, the median is the best measure of center for this data set without the outlier. With the outlier included, the median depth is still 43 feet, and the mode is also 43 feet, so either measure could be used to describe the center of the data set.
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Pls solve and give all steps with work
Answer:
y = 6
z = 3.25
x = 3.5
Step-by-step explanation:
12 * 0.5 = 6
6.5 * 0.5 = 3.25
7 * 0.5 = 3.5
X = 3.5 inches
Y = 6 inches
Z = 3.25 inches
Step-by-step explanation:Length of the larger tissue box = 12 inches
Breadth of the larger tissue box = 6.5 inches
Height of the larger tissue box = 7 inches
The small tissue box is dilated by - 0.5
So, the measures of the smaller tissue box is 0.5 times the larger tissue box.
Measures of the smaller box will be -
Length of the smaller tissue box = 12 * 0.5
= 6 inches
Breadth of the smaller tissue box = 6.5 * 0.5
= 3.25 inches
Height of the smaller tissue box = 7 * 0.5
= 3.5 inches
According to the variables,
X = Height
Y = Length
Z = Breadth
Height = 3.5 inches
Length = 6 inches
Breadth = 3.25 inches
X = 3.5 inches
Y = 6 inches
Z = 3.25 inches
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