The coordinate of vertices of DEF are;
D = ( -4, -3)
E = ( -7, 4)
F =( -7, -3)
Here, we have,
Reflection in the y-axis: The reflection of point (x, y) across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse (x,y)→( -x,y) .
First, triangle ABC is reflected across the y axes.
So, we have:
(x,y)→( -x,y)
then, translated down 5 units.
so, transformation rule on ABC, we have:
(x,y)→( -x , y - 5)
so, the coordinate of vertices of DEF are;
D = ( - 4, 2 - 5) = ( -4, -3)
E = ( -7, 9 - 5) = ( -7, 4)
F = (-7 , 2 - 5) = ( -7, -3)
Hence, the coordinate of vertices of DEF are;
D = ( -4, -3)
E = ( -7, 4)
F =( -7, -3)
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PLEASE I NEED HELP the question is,
In the diagram of triangle LAC and triangle DNC below, LA = DN, CA = CN, and DAC is perpendicular to LCN.
a) Prove that triangle LAC = triangle DNC.
b) Describe a sequence of rigid motions that will map triangle LAC onto triangle DNC.
Answer:
1244 DCD
Step-by-step explanation:
The contents of a tin choclates weigh 6500 grams. The choclates are divided up into packets of 250 grams. How many packets are there?
can someone please help me
50 points
Answer:.
Step-by-step explanation im not sure
Answer:
Step-by-step explanation:
47.) sin20 = 6/b
b = 6(sin20) = 17.5
c = √6²+17.5² = 18.5
48.) tan61 = y/18
y = 18(tan61) = 32.5
z = √18²+32.5² = 37.1
49.) r = √25²+23² = 34
50). d = √30²+7² = 30.8
51.) sin71 = j/19
j = 19(sin71) = 18
k = √19²-18² = 6.2
52.) y = √4²-1² = √7 = 2.6
53.) sin49 = f/26
f = 26(sin49) = 19.6
h = √26²-19.6² = 17
54.) t = √7²+4² = 8.1
Given: A (-3, 5) and B (4, -2), what is the length of AB?
After considering the given data we come to the conclusion that the length of AB is 12.124 units, under the condition that A (-3, 5) and B (4, -2) are the given coordinates.
The distance between two points in a plane can be found using the distance formula which is an application of the Pythagorean theorem. The formula is given by d=√ ( ((x₂ – x₁ )² + (y₂ – y₁ )²)
Here (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
Applying the given coordinates of A (-3, 5) and B (4, -2), we can evaluate the distance between them as follows:
d = √( (4 - (-3))² + (-2 - 5)² )
= √(7² + (-7)²)
= √(98 + 49)
= √147
= 12.124
Therefore, the length of AB is approximately 12.124 units.
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ALGEBRA please put a very small explanation to the awnser
Certainly! The problem can be solved using the Pythagorean theorem,
which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.
The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.
By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.
Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.
We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.
Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.
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Please help asap !!! I will give points !!!
The value of p when q is 2 is 1
What is inverse variation?Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value.
This means that has x increases y will decrease and vice versa.
If p is inversely proportional to q , then p = kq
when p = 2, q = 4
2 = k4
k = 2/4
k = 1/2
When q = 2
p = 1/2 × 2
p = 1
Therefore the value of p is 1
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how many integers between 2023 and 5757 have 12, 20, and 28 as factors
Answer:
9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.
Step-by-step explanation:
An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.
The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.
The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:
5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9
So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.
The small cylinder can fill a big cylinder to the height of 5cms. The diameter is 8cms and height is 15cm
The small cylinder can fill the big cylinder three times to the height of 5cms.
To calculate the volume of the small cylinder, we can use the formula for the volume of a cylinder: V = πr^2h, where V is the volume, r is the radius, and h is the height.
Given that the diameter of the small cylinder is 8 cm, we can find the radius by dividing the diameter by 2: r = 8 cm / 2 = 4 cm.
The height of the small cylinder is given as 5 cm.
Now we can calculate the volume of the small cylinder:
V_small = π * 4^2 * 5
= π * 16 * 5
= 80π cm^3.
To find out how many times the small cylinder can fill the big cylinder, we need to compare their volumes. The volume of the big cylinder can be calculated using the same formula.
Given that the diameter of the big cylinder is also 8 cm, the radius is also 4 cm. The height of the big cylinder is given as 15 cm.
The volume of the big cylinder is: V_big = π * 4^2 * 15 = π * 16 * 15 = 240π cm^3.
To find the number of times the small cylinder can fill the big cylinder, we divide the volume of the big cylinder by the volume of the small cylinder:
Number of times = V_big / V_small
= (240π cm^3) / (80π cm^3)
= 3.
Therefore, the small cylinder can fill the big cylinder three times.
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Question 6 of 19 Step 1 of 1 Suppose that quiz scores in a beginning statistics class have a mean of 7.1 with a standard deviation of 0.4. Using Chebyshev's Theorem, state the range in which at least 75% of the data will reside. Please do not round your answers. Answer(How to Enter) 4 Points to
Suppose that quiz scores in a beginning statistics class have a mean of 7.1 with a standard deviation of 0.4, the range in which at least 75% of the data will reside is from 6.3 to 7.9.
Chebyshev's Theorem is a statistical tool that provides a range for how much data is likely to fall within a certain number of standard deviations from the mean.
Specifically, it tells us that, for any set of data, no matter how it is distributed, at least 1 - (1/k^2) of the data will fall within k standard deviations from the mean, where k is any positive number greater than 1.
In this case, we want to find the range in which at least 75% of the data will reside. We can use Chebyshev's Theorem to determine the minimum value of k that will give us this range. We know that at least 75% of the data should fall within two standard deviations from the mean, so we can set k = 2.
Using Chebyshev's Theorem, we can say that at least 1 - (1/2^2) = 75% of the data will fall within 2 standard deviations from the mean. The standard deviation is 0.4, so two standard deviations would be 2 * 0.4 = 0.8.
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gillan read 3,135 words in 19 minutes let w represent the number of words read each minute if gillian read the same number of words each minute how many words did she read in 1 minute?
The number of words Gillan can read in 1 minute is, 165
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
Given that,
Gillan read 3,135 words in 19 minutes
The number of words read each minute = w
Now, it has given,
Total words = 3135
Time taken = 19 minutes
For words per minute,
we need to take ratio of total words and total time taken,
Ratio = Total words/Time taken
= 3135/19
= 165
Hence, the number of words in 1 minute is 165
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Information
500 customers contacted a company today.
Phone
250 Customers
Webchat
4x Social Media
Email
III)
50% of Phone
Social Media
Question
Adjust the pie chart to represent the source of customer contacts.
G
Pie graphs can be used to display percentages of an entire group and depict percentages at a certain moment. Customers contacted via the web = x(let) then.as a result, customers contacted online (chart = x = 100), 25 customers were reached by social media, or x/4
What purpose does a pie chart serve?Pie charts can be used to show percentages for the whole group or for a specific time period.
In contrast to bar and line graphs, pie charts do not show changes over time.
The following pages provide descriptions of the various pie chart elements.
Since the slices of a pie chart represent different parts of the whole, their sum must always equal 100%.
Number of customers overall = 250 clients were contacted via email for every 500 customers contacted via phone, or 50% of phone contacts.
=(50÷100)×250
=125
Customers reached via social media
= total customers + 250 + 125 + x+1 = 500 x+1
=125 × 5
T=125
x=100.
Customers contacted via the web = x(let) then.
as a result, customers contacted online (chart = x = 100)
25 customers were reached by social media, or x/4
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Find the missing value on the table below:
x y
2 4
? 6
4 8
In 1990, there were 4,298,000 Mexican immigrants living in the United States. In 2000 this number had increased to 7,858,000. Find the percent of increase to the nearest tenth. a. 69.6% c. 82.8% b. 101% d. 90.2%
Answer:
c
Step-by-step explanation:
In thousands:
\(7858 - 4298 = 3560\)
\( \frac{3560}{4298} = .828\)
\(4298 \times 1.828 = 7857\)
If it takes you 2 1/2 hours to assemble one unit, how many units will you complete in 15 hours? (Change 2 1/2 to improper fraction first)
Answer:37.5
Step-by-step explanation:
2 1/2 as an improper fraction is 5/2
If i'm wrong tell me please i hope this helped you
FINANCE
2. Which of the following statements is FALSE?
A. Common stockholders have an upper limit on their dividends
B. Preferred stockholders are more protected from risk than common stockholders.
C. Common stockholders own the firm and are among the last to be paid in the event of bankruptcy.
D. Preferred stockholders are
Answer: I think its C
Step-by-step explanation:
g+5>12 solution please i don’t know how to do this
Answer: g > 7
Graph has an open circle at 7 on the number line, shading to the right
================================================
Explanation:
Think of it like saying "I have a number, and I add on 5. The result is something larger than 12". You can guess and check your way to the answer, but the quickest way is to subtract 5 from both sides.
We subtract to undo the addition happening to the 'g'.
g+5 > 12
g+5-5 > 12-5
g > 7
So the number is larger than 7. For instance, if g = 8, then,
g+5 > 12
8+5 > 12
13 > 12
This is a true statement.
-------------------------
If you need to graph the solution, then you'll have an open circle at 7 on the number line. The open circle says to the reader "don't include this value as part of the solution set". Shade to the right of the open circle to describe all values larger than 7.
In summary, the graph has an open circle at 7 and shading to the right.
lect the correct answer.
Under which condition is the sample proportion, , a point estimate of the population proportion?
A.
The sample proportion is never a point estimate of the population proportion.
B.
The sample represents a proportion of the population.
C.
The sample proportion is unbiased.
D.
The sample size, n, is small enough.
Reset Next
The correct answer is B. The sample represents a proportion of the population.
What is the sample population ?
A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.
The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.
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The question is in the image below
Answer:
y=4/3x-3
Step-by-step explanation:
By using rise/run, you can see the slope in the equation, as it goes 4 units up and 3 units to the right.
For the y-intercept, you can see that the line intercepts (0,-3), which makes it the y-intercept.
Answer: y=-3+4/3x
Step-by-step explanation:
You get -3 because that is the point on the y axis
You get 4/3x from rise every additional point after
-------
run
what is the ratio of students to adults ? complete the statement the ratio of students to adults is ? 20 to 4 is the awnser
Answer:
20 to 4
Step-by-step explanation:
is the answer because it is the amount of students to adults.
I’ll give brainliest
What fraction is 4mm of 10cm
Monica works at a local bike shop. On Friday, she sold 5 mountain bikes and 10 road bikes. On Saturday, she sold 9 mountain bikes and 15 road bikes. Did Monica sell the same ratio of mountain bikes to road bikes on both days?
Answer:
they aren't the same ratio
Step-by-step explanation:
ratio of 5:10 then 9:15
5/10 and 9/15
and that is simplified
2.5/5 and 3/5 so they aren't the same ratio
Write two expressions for the perimeter of a square. Explain what information is in
one of your expressions that is not in the other
Answer:
4a=a+a+a+a= 2(a+a)=2a+2a=4a A represents one side of the square
2(a+b)=2a+2b A has two same size (#/ number) B has two same sizes (number)
K'
-8,8
,
L'
8,8
,
M'
-4,8
i need help finding the new coordinate. and scale factor is 1/2
Answer:
Step-by-step explanation:
To find the new coordinate of a point after it has been scaled by a factor of 1/2, you can multiply the x- and y-coordinates of the point by 1/2.
For example, to find the new coordinate of point K', you can multiply the x-coordinate of K' (-8) by 1/2 to get the new x-coordinate, and multiply the y-coordinate of K' (8) by 1/2 to get the new y-coordinate. This gives you the new coordinate of K' as (-4,4).
You can use the same method to find the new coordinates of points L' and M'. The new coordinate of L' is (4,4) and the new coordinate of M' is (-2,4).
I hope this helps! Let me know if you have any questions.
Help me please respond
Answer:
C
Step-by-step explanation:
Simplify 5/13(.75-.49)
Answer: .01
Step-by-step explanation:
Convert (1, 1) to polar form.
OA (2, 45°)
OB. (1,45°)
OC. (2,225)
OD. (2.459)
\((\sqrt{2}{, 45^{\circ})\)
============================================================
Explanation:
The original point is in cartesian form (x,y). We have x = 1 and y = 1 pair up together.
The radius is \(r = \sqrt{x^2+y^2} = \sqrt{1^2+1^2} = \sqrt{2}\)
The angle theta is \(\theta = \tan^{-1}(y/x) = \tan^{-1}(1/1) = 45^{\circ}\)
Therefore, the polar form is \((r, \theta) = (\sqrt{2}, 45^{\circ})\)
The idea is to start at the origin while facing directly east at the angle 0 degrees. Then turn 45 degrees to the north (going counterclockwise) and then move \(\sqrt{2}\) units away from the origin. Doing these steps will take you to the point (x,y) = (1,1)
After expenses of $52 were paid, a club donated $880 in proceeds from a pancake breakfast to a local health clinic. How much did the pancake breakfast gross?
Based on the expenses, and the club donations, it can be inferred that the amount that the pancake breakfast grossed was $932.
What is the gross income?Gross income refers to the amount that a company, project, or individual makes from sales before they have to withdraw their expenses.
In this case, the gross amount that the pancake business grossed was:
Amount of proceeds = Gross amount - Expenses
Gross amount = Amount of proceeds + Expenses
Solving for the gross from the pancake business gives:
= 880 + 52
= $932
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Linear sequence of 35/100,5/10,65/100
The linear rule for the sequence is f(n) = 7/20 + 3/20(n - 1)
Finding the linear rule for the sequenceFrom the question, we have the following parameters that can be used in our computation:
35/100,5/10,65/100
In the above sequence, we can see that 15/100 is added to the previous term to get the new term
This means that
First term, a = 35/100
Common difference, d = 15/100
The nth term is then represented as
f(n) = a + (n - 1) * d
Substitute the known values in the above equation, so, we have the following representation
f(n) = 35/100 + 15/100(n - 1)
So, we have
f(n) = 7/20 + 3/20(n - 1)
Hence, the explicit rule is f(n) = 7/20 + 3/20(n - 1)
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An army camp had a food provision of 35 days for 800 soldiers on the first day of the month. On
the same day, some of the soldiers were transferred to another camp. The food provision lasted for
50 days for the remaining soldiers. How many soldiers were transferred to the other camp?
(Assume that each soldier consumes equal quantity of food per day.)
240 soldiers were transferred to the other camp. Let's assume the number of soldiers transferred to the other camp is "x." we can solve for the unknown variable representing the number of soldiers transferred.
Initially, the food provision was planned for 800 soldiers for 35 days. This means that the total food supply is equal to 800 soldiers multiplied by 35 days, which gives us a total of 28,000 soldier-days of food.
After some soldiers were transferred, the remaining soldiers had enough food to last for 50 days. So the food supply for the remaining soldiers can be calculated as the product of the number of remaining soldiers and the number of days, which gives us (800 - x) * 50 soldier-days of food.
Since the amount of food remains the same, we can set up the following equation:
\(28,000 = (800 - x) * 50\)
Now, let's solve this equation to find the value of x, representing the number of soldiers transferred to the other camp:
\(28,000 = 50 * 800 - 50x28,000 = 40,000 - 50x50x = 40,000 - 28,00050x = 12,000x = 12,000 / 50x = 240\)
By setting up the equation based on the total food supply for the initial and remaining soldiers, we can solve for the unknown variable representing the number of soldiers transferred. In this case, 240 soldiers were transferred to the other camp.
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