The dimensions of the new rectangle after the dilation would be given as follows:
12 cm.4.5 cm.What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
The dimensions of the original rectangle are given as follows:
4 cm.1.5 cm.The scale factor is given as follows:
k = 3.
Hence the dimensions of the dilated rectangle are given as follows:
3 x 4 = 12 cm.3 x 1.5 = 4.5 cm.More can be learned about dilation at brainly.com/question/3457976
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Which of the following tables represents a linear relationship that is also proportional?
x −1 2 5
y −1 0 1
x −2 −1 0
y −1 0 1
x −2 −1 0
y −4 −2 0
x −4 −2 1
y −2 0 3
please be frl!!
Answer:
x -2 -1 0
y -4 -2 0
Here, y = 2x.
This linear relationship is also proportional.
A couple of two-way radios were purchased from different stores. Two-way radio A can reach 3 miles in any direction. Two-way radio B can reach 6.44 kilometers in any direction.
Part A: How many square miles does two-way radio A cover? Use 3.14 for π and round to the nearest whole number. Show every step of your work. (3 points)
Part B: How many square kilometers does two-way radio B cover? Use 3.14 for π and round to the nearest whole number. Show every step of your work. (3 points)
Part C: If 1 mile = 1.61 kilometers, which two-way radio covers the larger area? Show every step of your work. (3 points)
Part D: Using the radius of each circle, determine the scale factor relationship between the radio coverages. (3 points)
Answer:
don't copy this word for word, but here's the answers and reasons you can use
also mark me brainliest if this helps pls
Step-by-step explanation:
Part A:
The area covered by a circle is given by the formula:
A = πr^2
where r is the radius of the circle.
For two-way radio A, the radius is 3 miles. So we have:
A = π(3)^2
A ≈ 28.27 square miles
Therefore, two-way radio A covers approximately 28 square miles.
Part B:
For two-way radio B, the radius is 6.44 kilometers. However, the formula for the area of a circle uses the squared value of the radius, so we need to square 6.44:
A = π(6.44)^2
A ≈ 130.23 square kilometers
Therefore, two-way radio B covers approximately 130 square kilometers.
Part C:
To compare the two areas, we need to convert the area covered by two-way radio A to kilometers:
1 mile = 1.61 kilometers
So 3 miles is equivalent to:
3 miles x 1.61 kilometers/mile = 4.83 kilometers
The area covered by two-way radio A in square kilometers is:
A = π(4.83)^2
A ≈ 73.03 square kilometers
Comparing the areas, we see that two-way radio B covers the larger area.
Part D:
The scale factor relationship between the radio coverages is the ratio of their radii. Using the given conversion factor, we can convert the radius of two-way radio A to kilometers:
3 miles x 1.61 kilometers/mile = 4.83 kilometers
So the scale factor relationship is:
4.83 km (radius of two-way radio A) / 6.44 km (radius of two-way radio B)
= 0.75
This means that the coverage area of two-way radio B is approximately 0.75 times the coverage area of two-way radio A.
Given that A couple of two-way radios were purchased from different stores. Two-way radio A can reach 3 miles in any direction. Two-way radio B can reach 6.44 kilometers in any direction.
A) two way radio A can cover 28 square miles. (using area of circle)
B) two way radio B can cover 132 square kilometer. (using area of circle)
C) Area of coverage of radio B is more.
D) Using the radius of each circle, the scale factor relationship between the radio coverages of A and B is 3:4.
Area of a circle is given by the formula [tex]\pi r^2[/tex].
A) radius of radio A = 3 miles
Area of coverage = [tex]\pi r^2 = 3.14 *3*3 = 28.26[/tex] sq miles
B) radius of radio B = 6.44 km
Area of coverage = [tex]\pi r^2 = 3.14 *6.44*6.44 = 130.22[/tex] sq km
C) 1 mile = 1.61 km
1 sq mile = 1.61 km * 1.61 km = 2.5921 sq km
Area of coverage of radio A = 28.26 sq miles = 28.26 *2.5921 = 73.25 sq km
On comparison, area of coverage of radio B is more.
D) 1 mile = 1.61 km
radius of radio A = 3 * 1.61 = 4.83 km
scalar factor relationship between radio A and B = [tex]\frac{4.83}{6.44} = 3:4[/tex]
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PLEASE HELP! DUE TODAY
Answer: Count all the sides and the answer will be 4.5+2+2+4+5.5+1.5+1+7.5, which is equal to 26.5 (I think, I didn’t use a calculator)
The perimeter of the figure shown on the coordinate plane is 56 units.
What is Perimeter?Perimeter of a straight sided figures or objects is the total length of it's boundary.
Given is a figure.
Perimeter of a figure is the total length of the boundary.
We have to find the length of each of the sides and then add it to get the perimeter.
Each line on the coordinate plane represents 2 units.
Perimeter adding the sides from the bottom, we get,
Perimeter = 2 + 3 + 11 + 8 + 4 + 4 + 9 + 15
= 56 units
Hence the perimeter of the figure is 56 units.
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The dot plot below represents how long it takes students in an 8th grade math class to get to school every morning. please help me
Answer:
40
Step-by-step explanation:
Highest Value in the data set - Lowest Value in the data set = Range, so...
45 minutes - 5 minutes = 40 minutes
Bill is playing a game. He chooses one fraction card and one decimal card that have the same value. What 2 cards might bill choose
2/3
6/8
5/4
5/6
0.6 repeating
1.5
0.75
1.3repeating
1.25
0.83
0.8
0.83repeating
1.2
0.67
1.3
1.33
Answer: To determine which fraction and decimal cards have the same value, we can convert each fraction to a decimal and then compare them to the decimal cards:
2/3 = 0.666... (repeating)
6/8 = 0.75
5/4 = 1.25
5/6 = 0.833... (repeating)
0.6 repeating = 0.666... (repeating)
1.5 = 1.5
0.75 = 0.75
1.3 repeating = 1.333... (repeating)
1.25 = 1.25
0.83 = 0.83
0.8 = 0.8
0.83 repeating = 0.833... (repeating)
1.2 = 1.2
0.67 = 0.67
1.3 = 1.3
1.33 = 1.33
From this list, we can see that Bill can choose the following two cards that have the same value:
2/3 and 0.666... (repeating)
0.6 repeating and 0.666... (repeating)
Step-by-step explanation:
Bill has a range of card pairs that all have the same value at his command. The fraction card 2/3 and the decimal card 0.67 are one such pair because both cards show the value of two-thirds. The fraction card 6/8 (which may be written as 3/4) as well as the decimal card 0.75 are another pair that could be used as both of them reflect the value of three-quarters.
Since both cards show the value of five-sixths, Bill may either select the fraction card 5/6 and the repeating decimal card 0.83 repeating. The fraction card 1.25 and the decimal card 1.25 are another pair that may coexist as both of them represent the sum of one and one-quarter.
Also, Bill has the choice to pick either the fractional card 0.75 or the decimal card 0.75, both of which denote the value of three-fourths. He might also select the decimal card 1.33, which reflects the amount of one and one-third, and the fraction card 1.3 repeating, which is similar to 4/3.
Bill has a choice of card pairs to select from, all of which reflect the same number in both fractional and decimal form.
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help me it due in 30 min
Answer:
(geometry) A parallelogram having all sides of equal length
HELPP ASAP
Daniel opens a new savings account and makes an initial deposit of $1,200. If the account earns 2.5% annual interest, which equation shows how much money is in the account in 9 months?
1. x=1,200+1,200(0.025)(0.75)
2. x=1,200+1,200(0.25)(9)
3. x=1,200+1,200(0.025)(9)
4. x=1,200+1,200(0.25)(0.75)
Answer:
x = 1,200 + 1,200(0.025)(0.75)
Step-by-step explanation:
The initial deposit of $1,200 is added to the total amount in the account after 9 months, so we start with 1,200 + ?
The annual interest rate is 2.5%, but we need to calculate the interest earned in 9 months. To do this, we can multiply the annual rate by the fraction of the year represented by 9 months, which is 0.75 (9/12). So the interest earned is 1,200(0.025)(0.75).
Adding the interest earned to the initial deposit gives us the total amount in the account after 9 months, which is x.
Answer:
C
Step-by-step explanation:
Seeing has his initial deposit is 1200
We first convert 2.5% to a decimal making it 0.025 because we moved the decimal 2 places back seeing as 100 percent only has 2 0s
It's also asking us how much money is in his account in 9 months meaning we have to times it by 9 and not 0.75
find the area of the faces of the prism
Answer:
I think it's 90
Step-by-step explanation:
multiply base x height (9x5)
which = 45
and then multiply that by 2
which = 90
i hope this helped.
Please Help!!! I will give brainlist if right!!!
Aliya deposits $300 into a college savings account that earns simple interest at a rate of 10%. If she makes no withdrawals, how much total interest has Aliya's college savings account earned after 7 years?
(Include the $ symbol)
Answer:
after 7 years is $210.
Step-by-step explanation:
To calculate the total interest earned by Aliya's college savings account, we need to use the formula:
I = P * r * t
where I is the total interest earned, P is the principal (initial amount deposited), r is the interest rate (as a decimal), and t is the time (in years).
In this case, Aliya deposited $300, the interest rate is 10% or 0.1, and the time is 7 years. Plugging in these values, we get:
I = $300 * 0.1 * 7 = $210
the total interest earned by Aliya's college savings account after 7 years is $210.
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Use the relationship between pounds and ounces shown in the example to complete the table below
Answer: 0.5, 1.25, 2.5
Step-by-step explanation:
There are 16 ounces in a pound, so 8/16 = 0.5.
20/16 = 1.25
40/16=2.5
Answer:
0.5, 1.5, 2.5
Step-by-step explanation:
You can find this answer by looking that 1 pound = 16 oz. So half of an ounce equals half of that pound.
0.5 pounds equal 8 lbs
1.5 = 20
2.5 = 40
Which angle is complementary to CFD?
Answer:
Step-by-step explanation:
Amy buys candy that costs $5 per pound. She will spend more than $45 on candy. What are the possible numbers of pounds she will buy? Use p for the number Amy will buy. Write your answer as an inequality solved for p.
A line on a graph is represented with the equation y= -3x-9. What is the equation for the image of this line after a reflection over the mirror line y=x ?
Answer:
O y=-1/3x-3 is the answer i think
Pls solve with all steps shown
Answer:
just do 4in + 2.5 and 5 + 2.5
Step-by-step explanation:
4+2.5=6.5 and 5 + 2.5=7.5
WILL GIVE BRAINLIESTT!! 13 Points! HURRYYY! Madison is monitoring the temperature over several hours.
Loook at pic attachment.
Her data are shown in the table. She draws a line of best fit with the equation y = -6.2x + 64, where x represents the hour and y represents the temperature.
Describe the meaning of the slope and y-intercept in this context
A. The slope applied to this situation is the temperature drops 6.2 degrees per hour. The y-intercept means at hour 0 (start of recording data), it was a temperature of 64 degrees
B. The slope applied to this situation is the temperature drops 6.2 degrees per hour The y-intercept means at hour 1, it was a temperature of 6.2 degrees
C. The slope applied to this situation is the temperature drops 64 degrees per hour. The y-intercept means at hour 0, it was a temperature of 6.4 degrees
D. The slope applied to this situation is the temperature drops 6.2 degrees per 2 hours. The y-intercept means at hour 2, it was a temperature of 64 degrees
Answer:
Step-by-step explanation:
The correct answer is A.
In the context of this situation, the slope of -6.2 means that the temperature drops 6.2 degrees for every hour that passes. The negative sign indicates that the temperature is decreasing over time.
The y-intercept of 64 means that at hour 0 (the start of recording data), the temperature was 64 degrees. This is the initial value of the temperature, before any time has passed.
The slope and y intercept describes that
The slope applied to this situation is the temperature drops 6.2 degrees per hour. The y-intercept means at hour 0 (start of recording data), it was a temperature of 64 degrees.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have,
The line of best fit with the equation y = -6.2x + 64, where x represents the hour and y represents the temperature.
As, we know that the slope shows the rate of change of one quantity with respect to another quantity.
Here, the slope -6.2 tells us that the temperature drops 6.2 degrees per hour.
and, the y intercept tells us that at 0 hour the temperature is 64 degree.
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Of the students at Milton Middle School, 216 are girls. If 60% of the students are girls, how many total students are there at Milton Middle school?
you will be the brainliest
Answer:
360
Step-by-step explanation:
x*60/100=216
60x=21600
x=21600/60
x=360
360 students are thee in Milton Middle School.
Step-by-step explanation:Number of girls in Milton Middle School = 216
Percentage of girls in Milton Middle School = 60%
From the above information we can know that 216 = 60% of Milton Middle School.
1% of students in the school = 216/60
= 3.6
100% of students in the school = 3.6 * 100
= 360 students
Total number of students in Milton Middle School = 216/60 * 100
= 216/6 * 10
= 36 * 10
= 360 students
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Darrel has 200 cm2 of wrapping paper. Which object below can be wrapped with the least amount of paper left over?
The answer should be C, please tell me if I'm wrong.
Answer:
C
Step-by-step explanation:
Ok yea
SPAM AND ILL DELETE UR ANSWER! GIVING 72 POINTS! PLEASE HELP ME!!! What conclusion can be determined from the dot plot below? A dot plot showing five dots above 9, six dots above 10, three dots above 11, and one dot above 12. (3 points) The number of observations is 10. The median of the data set is 10. The mean of the data set is 15. The range of the data set is 12.
Answer:
The conclusion that can be determined from the dot plot is that:
The number of observations is 15, as there are 5+6+3+1=15 dots in total.
The median of the data set is 10, as it is the middle value when the data is arranged in order.
The mean of the data set cannot be determined from the dot plot.
The range of the data set is 12, as it is the difference between the highest value (12) and the lowest value (9) in the data set.
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Write a function to describe the following scenario.
Jonathan is selling his old trading cards.
Each customer that buys gets the first
box they purchase for $10, and each
additional box for only $5.
y = [?] x + [ ]
Enter
Answer:
y=5x+10
Step-by-step explanation:
$5 is based on how many boxes are bought
$10 is the base price and does not change
Pls solve and show each step
Thx
The perimeter of triangle MNO is given as follows:
17.2 in.
What are similar triangles?Similar triangles are triangles that share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.Applying the Pythagorean Theorem, the side length x of triangle MNO is given as follows:
x² = 4² + 6²
x² = 52
x = square root of 52
x = 7.2 in.
Hence the perimeter of triangle MNO is given as follows:
4 + 6 + 7.2 = 17.2 in.
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Need help ASAP will give Brainliest to the first one that answers
Answer:
Veggies = 700
Fruit = 300
Carbs = 500
Protein = 500
Covert the following fractions to decimals using long division:
Answer:
Step-by-step explanation:
1. 0.4
2. 0.33
3. 0.78
4. 0.82
Answer:
1. 0.4
2. 0.33.....
3. 0.78
4. 0.82
Step-by-step explanation:
1)2÷5
2)1÷3
3)7÷9
4)9÷11
write 1 half and two thirds as fractions with denominators of 6. Then add the renamed fractions. Write the answer as a mixed number
Answer:
Step-by-step explanation:
1/2 = 3/6 (1x3 and 2x3 to make the denominator 6) 2/3 = 4/6 (2x2 and 3x2 to make the denominator 6) 3/6 + 4/6 equas 7/6. 7/6 equals 1 1/6 as a mixed number
Question Solve for x. −43x+16<79 Drag and drop a number or symbol into each box to correctly complete the solution. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. x Response area Response area
Answer:
Step-by-step explanation:
I need help this is due today
PLEASE HELP AND EXPLAIN THANK YOU
Answer: B. 70 square units
Step-by-step explanation:
To find the area, we will use this formula :
(A = area, L = length, W = width)
A = LW
We need to find the distance of the length and width, then we will substitute what we know and solve for the area. See attached and below.
A = LW
A = (7)(10)
A = 70 square units
➜ Note that the scale of this coordinate plane is by 2's, not 1's.
70 unit²
Step-by-step explanation:Firstly, we can observe that 1 unit is equal to 2.
So, we can use this formula to find the area of a rectangle.
Area of a rectangle = Length * Breadth
Length of the rectangle = 5 units = 5 * 2 = 10
Breadth of the rectangle = 3.5 units = 3.5 * 2 = 7
Area of the rectangle = 10 * 7
= 70 unit²
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The area of this figure = _______ m2.
a right triangle with long side of 11 meters, short side of 7 meters
5.0
38.5
18.0
77.0
Answer:
area=38.5 m^2
Step-by-step explanation:
11×7=77
77÷2=38.5
area=38.5m^2
Find the probability of neither showing
multiple of 3 nor multiple of 4 on the second die
Answer:
the probability of neither showing a multiple of 3 nor a multiple of 4 on the second die is 17/36, or approximately 0.4722
Step-by-step explanation:
To find the probability of neither showing a multiple of 3 nor a multiple of 4 on the second die, we need to first determine the sample space of possible outcomes.
The sample space of rolling two dice is given by all possible pairs of numbers from 1 to 6, which has a total of 6 x 6 = 36 possible outcomes.
Out of these 36 possible outcomes, there are 12 outcomes where the second die shows a multiple of 3 (namely 3, 6, and 9), and 9 outcomes where the second die shows a multiple of 4 (namely 4 and 8).
However, we must note that there are two outcomes where the second die shows both a multiple of 3 and a multiple of 4, namely (3,4) and (6,4). We need to subtract these two outcomes from our total count.
Therefore, the number of outcomes where the second die shows a multiple of 3 or a multiple of 4 or both is 12 + 9 - 2 = 19.
The number of outcomes where the second die does not show a multiple of 3 or a multiple of 4 is the complement of the above count, which is 36 - 19 = 17.
Therefore, the probability of neither showing a multiple of 3 nor a multiple of 4 on the second die is 17/36, or approximately 0.4722.
Is this figure a polygon? Explain.
Answer: No.
Step-by-step explanation:
A polygon is a closed shape with no curved side. We see four curved sides in this shape, so this figure is not a polygon.
20 pts!! HURRY PLS Order this set of numbers from greatest to least. Then explain the order, referring to the number line in your explanation.
Answer:
2 54, 2 1/4, -1.79, -4
4. -4= least value, less than 0, last
3. -1.79, less than 0, second least value, before last
2. 2 1/4 = 2.25, more than 0, less than 2.5, second
1. 2.51, greater than 0, greater than 2.5, highest value, first
Answer:
Step-by-step explanation: 1/4 is equal to 0.25 which make 2 1/4 = 2.25 and the higher the negative number the lower the actual number is so the answer should be : 2.54, 2 1/4, -1.79, -4
I'm sorry if this not a good explanation