Dilation involves changing the size of a quadrilateral or any shape
The coordinates of the image of the dilation are: [tex]W^{\prime}=(1 / 4,-3), X^{\prime}=(10,0)$, $Y^{\prime}=(7,-9)$[/tex] and [tex]$Z^{\prime}=(4,-9)$[/tex]
This is further explained below
How to determine the vertices of the image?The vertices of the pre-image are given as:
W=(0,-4)
X=(13,0)
Y=(9,-12)
Z=(5,-12)
The scale factor is given as:
k=3 / 4
The center of dilation is given as:
(a, b)=(1,0)
To calculate the vertices of the image, we make use of the following formula [tex]$\left(x^{\prime} y^{\prime}\right)=(k(x-a)+a, k(y-b)+b)$[/tex]
So, we have:
W'=(3 / 4(0-1)+1,3 / 4(-4-0)+0)
W'=(1 / 4,-3)
X'=(3 / 4(13-1)+1,3 / 4(0-0)+0)
X'=(10,0)
Y'=(3 / 4(9-1)+1,3 / 4(-12-0)+0)
Y'=(7,-9)
Z'=(3 / 4(5-1)+1,3 / 4(-12-0)+0)
Z'=(4,-9)
Hence, the coordinates of the image of the dilation are:
W'=(1 / 4,-3),
X'=(10,0),
Y'=(7,-9)
Z'=(4,-9)
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What is the equation of the line that passes through the point ( -4, 1) and has
slope of -5/4
Answer:
y = -5/4x + 1
Step-by-step explanation:
Andy is scuba diving. He starts at sea level and then goes down 14.5 feet in 2 minutes. How many feet did Andy go in one minute?
Answer:
7.25 feet
Step-by-step explanation:
-10+|6+-17| - - 14 show how you got the answer
Answer:
15
Step-by-step explanation:
[tex]-10+\left|6+\left(-17\right)\right|-\left(-14\right)[/tex]
[tex]=-10+\left|6-17\right|+14[/tex]
Subtract.
[tex]=-10+\left|-11\right|+14[/tex]
Now, add.
[tex]=4+\left|-11\right|[/tex]
Apply absolute rule.
[tex]=4+11[/tex]
= 15
How do I solve this question?
DE is parallel to ST as ∠ EAT = ∠ AED which are alternate interior angles.
∠TAC = ∠ABC (The angle between the chord and the tangent is equal to the angle in the alternate segment)
Since, EDCB is a cyclic quadrilateral,
∠CBD + ∠CED = 180 ----- I
- ∠CED + ∠AED = 180 -----II
----------------------------------------------------
∠ CBD = ∠AED
Also, ∠ CBD = ∠ EAT( A is tangent to the circle)
So, ∠ EAT = ∠ AED ( Alternate interior angle)
So, DE || ST
Therefore, DE is parallel to ST as ∠ EAT = ∠ AED which are alternate interior angles.
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Find the area of the shaded figure.
OF
80 mm 120 mm
PLS HELP
Answer: 2000π mm^2
Step-by-step explanation:
A=area of entire circle. B=Area of Inside circle. C=Area of shaded region
A-B=C
π(120/2)^2 -π(80/2)^2=
π(60)^2 -π(40)^2=
3600π-1600π=2000π mm^2
Of the students at Milton Middle School, 192 are girls. If 60% of the students are girls, how many total students are there at Milton Middle school?
Answer:
320 Students
Step-by-step explanation:
Hope this helps :)
what's the area of the triangle
Answer:
32 is it
Step-by-step explanation:
Which is equivalent to 6
41/4
Answer:
16 1/4
Step-by-step explanation:
4*10=40, add one more 1/4 and you get 41. So simplified, 41/4 = 10 1/4
Add the 6 and you get 16 1/4
how do you write 4.93 as a percentage
Answer:
493%
Step-by-step explanation:
To convert a decimal to percentage, muiltiply the decimal by 100.
which answer???????
plss
Answer:
I am not sure myself but I think the answer is 2.3 hours per week.
simplify 3a x 5b x 5b x 6c
Osvoldo has a goal of getting at least 30%, percent of his grams of carbohydrates each day from whole grains. today, he ate 220grams of carbohydrates, and 55 grams were from whole grains.
Osvoldo did not meet his goal of getting at least 30% carbohydrates
Although a part of your question is missing, you might refer to this full question: Osvoldo has a goal of getting at least 30% of his grams of carbohydrates each day from whole grains. Today, he ate 220 grams of carbohydrates, and 55 grams were from whole grains. Did Osvoldo meet his goal?
Total carbohydrates he ate = 220 grams
Carbohydrates intake from whole grains = 55 grams
Percentage of carbohydrates in whole grains = (Carbohydrates from whole grain/Total carbohydrate intake)*100
=(55/220)*100
=0.25*100
=25%
Osvoldo got 25% carbohydrates as against his goal of at least 30% carbohydrates
Hence, he did not meet his goal of getting at least 30% carbohydrates
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Differences between two samples are least likely to be statistically significant if the samples are _____ and the standard deviations of the samples are _____.
If the samples are large and the standard deviations are small, the differences between the two samples are least likely to be statistically significant.
How does standard deviation work?The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.
Why is statistical significance important?"Statistical significance precision" tells us, in Redman's words, "whether a result is probably caused by chance via some factor of interest." A significant finding simply means that you should consider it. can be sure that it is true and not that you were just lucky (or unlucky) in the sample you chose.
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I need help asap!! 20 points!!
a book weighs 4 3/8 pounds. a store needs to mail 5 copies of the book.
create an equation to find how many pounds the books weigh in all.
Equation of the book on how many pound the books weigh is T = w*n and the weight of the books is 175/3 pounds.
It is given in the question that the book weighs 4 and 3/8 pounds and the number of copies that are needed to mail are 5.
We have to find the equation to find the weight of 5 copies of the book.
The equation will be:-
Total weight of books = Weight of 1 book * Number of copies of book
Let total weight be T
Let weight of 1 book = w
Let number of copies of a book = n
Hence, equation becomes:-
T = w*n
We can find the total weight of the books.
T = (4 and 3/8 )*5
T = (35/3)*5
T = 175/3 pounds
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Can ya'll help me? This problem has stumped me for a few days.
Q.5 - Solve the equation 3(2x - 4) = 8 + 2x + 6. Show your work.
Answer: x=6.5
Step-by-step explanation:
3(2x - 4) = 8 + 2x + 6
6x-12=14+2x
4x-12=14
4x=26
x=26/4
x=6.5
What is the difference quotient of the function, g (x) = startroot x endroot, x greater-than-or-equal-to 0?
The difference quotient of the function g(x) = √x is [√(x+h) -√x]/h
Difference quotient of the function:
Difference quotient of the function means a measure of the average rate of change of the function over an interval.
The difference quotient formula of a function y = f(x) is,
[ f(x + h) - f(x) ] / h
where
f (x + h) is obtained by replacing x by x + h in f(x)
f(x) is the actual function
Given,
Function g(x) = √x where x≥0.
Here we need to find the difference of the quotient of the function.
For that,
First we have to calculate the value of g(x + h),
By simply replacing the value of x as x + h,
So,
g(x + h) = √(x+h)
Now apply the values on the formula in order to solve it,
=> [√(x+h) -√x]/h
We can't simplify it further.
So, the difference quotient of function is,
=> [√(x+h) -√x]/h
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Answer: D
Step-by-step explanation:
took one for the team
a bottle weighs 300gand holds 630ml,how much does it weight if i fill it with water
If a bottle weighs 300g and can hold 630ml, then it will weigh approximately 930g when filled with water.
As per the question statement, a bottle weighs 300g and can hold 630ml.
We are required to find out the weight of the bottle when it is filled up with water.
To solve this question, we need to know about the concept of density of a substance, i.e.,
[tex]Density=\frac{Mass}{Volume}\\ or, Mass=[Density*Volume][/tex].
And density of water is 1gm/ml, i.e., 1gm of water has a mass of 1ml.
Using the above info, we will calculate the mass of 630ml of water and then we will have to add up the mass of water and the mas of the bottle to obtain our desired answer.
Using the unitary method, if 1ml of water has a mass of 1gm, then,
630 ml of water has a mass of [tex](630*1)=630\\[/tex] gms.
Hence, total weight of the bottle filled with water will be
[tex](630+300)=930[/tex] gms.
Density: Density is the measure of degree of compactness of a substance, calculated as the ratio of Mass to volume of a substance.Unitary Method: This is a technique for solving a problem where first, we find the value of a single unit, and then find the necessary value by multiplying the single-unit value.To learn more about Unitary Method, click on the link below.
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If two cellphones are randomly selected from the box what is the probability there will be one green cellphnone and one yellow cellphone?
The probability that one green and one yellow is selected (without replacement) is 3/7.
What are examples and probability?
It is predicated on the likelihood that something will occur. The justification for probability serves as the basic foundation for theoretical probability. For instance, the theoretical chance of receiving a head while tossing a coin is 12.Probability that one green and one yellow is selected (without replacement).
Since the cellphone is not replaced, the probability is calculated as follows
Pr = [tex]\frac{G}{n} * \frac{Y}{n - 1 } + \frac{Y}{n} * \frac{G}{n- 1}[/tex] The subtraction means the cellphones are not replaced
This gives
[tex]Pr = \frac{6}{8} * \frac{2}{8 - 1} + \frac{2}{8} * \frac{6}{8 - 1}[/tex]
[tex]Pr = \frac{3}{4} * \frac{2}{7} + \frac{1}{4} * \frac{6}{7}[/tex]
[tex]Pr = \frac{3}{14} + \frac{3}{14}[/tex]
take lcm
[tex]Pr = \frac{3}{7}[/tex]
Hence, the probability that one green and one yellow is selected (without replacement) is 3/7.
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x^2+11x+15=30
find x
After simplifying the equation we acquire the value of x as:
x = 1.225 or x = ₋12.225
Given the equation is x² ₊ 11x ₊ 15 = 30
arrange the constants on one side.
x² ₊ 11x = 30 ₋ 15
x² ₊ 11x = 15
x² ₊ 11x ₋ 15 = 0
now simplify the equation using the formula: -b±√b²₋4ac / 2a
in the equation we have the values for a = 1 , b = 11 and c = ₋15
substitute the values and get the value of x.
= ₋11 ± √(11)² ₋ 4(1)(₋15) / 2(1)
= ₋11 ± √121 ₊ 60 / 2
= ₋11 ± √181 / 2
= ₋11 ± 13.45 / 2
= ₋11 ₊ 13.45 / 2 or ₋11 ₋ 13.45 / 2
= 2.45/2 or ₋24.45/2
= 1.225 or ₋12.225
Therefore x value is 1.225 or ₋12.225
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A Laboratory technician needs to make a 81-liter batch of a 20% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 10% to get the desired concentration
Answer:
You would need 9 liters of pure acid and 72 liters of 10% acid to make a mixture of of 81 liters of 20% acid.
Step-by-step explanation:
See attached picture.
Suppose a population consists of 850,000 people. Which of the following
numbers of members of the population being surveyed could result in a
parameter but not a sample statistic?
A. 8500
B. Neither 8500 nor 850,000
C. Both 8500 and 850,000
D. 850,000
Answer:
what give a pasia what do in
Answer:
A. 8500
Step-by-step explanation:
All the other asnwers are correct!
Use the equation y-6= to fill in the missing values in the table below
Using the given equation, the missing values in the table are:
x y
32 14
12 9
0 6
-8 4
-36 -3
How to Apply an Equation?Given the equation, y - 6 = x/4, we can rewrite the equation as:
y = x/4 + 6
For x = 12, we have:
y = 12/4 + 6 = 3 + 6
y = 9
For x = 0, we have:
y = 0/4 + 6 = 0 + 6
y = 6
For y = 4, we have:
4 = x/4 + 6
4 - 6 = x/4
-2 = x/4
-8 = x
x = -8
For y = -3, we have:
-3 = x/4 + 6
-3 - 6 = x/4
-9 = x/4
-36 = x
x = -36
Thus, using the given equation, the missing values in the table are:
x y
32 14
12 9
0 6
-8 4
-36 -3
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A new car is priced at £7500.
In a sale it is reduced by 20%.
Calculate the reduction in price.
Answer:£1500
7500 divided by 10=750. £750 is 10% so 750x2 which is 1500, is 20%. Therefore, it is reduced by £1500
Answer:
£1500
Step-by-step explanation:
20% = 20/100 = 0.2
7500 - (7500*0.2)
= 7500 - 1500
= 6000
The reduction in price is:
£ 1500
If the length of the shorter arc AB is 22cm and C is the center of the circle then the circumference of the circle
The circumference of the circle with arc AB as 22 cm and C as the center will be 176 cm.
We are given that:
Length of the shorter arc forming an angle of 45° with the center = 22 cm
AB = 22 cm
C is the center of the circle.
We know that the length of the arc is calculated as:
Length of an Arc = θ × (π / 180) × r
22 = 45 × (3.14 / 180) × r
22 = 0.785 r
r = 22 / 0.785
r = 28.0255
Circumference = 2 π r
Circumference = 2(3.14) (28.0255)
C = 176 cm
Therefore, we get that, the circumference of the circle with arc AB as 22 cm and C as the center will be 176 cm.
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Find the median and mean of the data set below:
Median = 1
201
49, 16, 5, 3, 6
Mean =
The mean and the median value of the given data set is 12.62 and 6.
According to the statement
We have to find that the mean and the median of the following data.
So, For this purpose, we know that the
The mean is found by adding all of the numbers together and dividing by the number of items in the set.
And
The median is the middle number in a sorted, ascending or descending list of numbers
From the given information:
The data set are:
1,20,1, 49, 16, 5, 3, 6
Then
According mean definition,
Mean = 1+20+1+ 49+ 16+ 5+ 3+6/8
Mean = 101/8
Mean = 12.625
Then
The data set is 1,3,5,6,16,20,49.
Median = 8 terms /2
Median = 4th term
Median = 6.
So, The mean and the median value of the given data set is 12.62 and 6.
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Find the indicated measure
I will give brainliest to the right answer with solution
Answer:
∠ N = 10° , arc RS = 134°
Step-by-step explanation:
the measure of an inscribed angle is half the measure of its intercepted arc.
(5)
∠ N is an inscribed angle and we require arc LM
the measure of the arcs in a circle = 360°
note LN is the diameter so arc LN = 180°
Then
LM + MN + LN = 360°
LM + 160° + 180° = 360°
LM + 340° = 360° ( subtract 340° from both sides )
LM = 20°
then
∠ N = [tex]\frac{1}{2}[/tex] LM = [tex]\frac{1}{2}[/tex] × 20° = 10°
(6)
∠ Q is an inscribed angle so its intercepted arc is twice its measure
arc RS = 2 × 67° = 134°
A cylindrical vase has a diameter of 6 inches and a height of 8 inches. The vase already contains 20 cubic inches of water. A faucet can fill the vase at
a rate of 8 cubic inches per second.
To the nearest second, how long will it take the faucet to fill the vase? Enter the answer in the box.
Use the info
seconds
In 25.76 seconds we will fill the total volume of the cylinder.
how long will it take the faucet to fill the vase?The total volume of the cylinder is given by the equation:
V = pi*R^2*H
Where pi = 3.14, R is the radius and H is the height.
Here we know that the diameter is 6 inches, then the radius is:
R= 6in/2 = 3in
And the height is 8 inches, then the volume is:
V = 3.14*(3in)^2*8in = 226.08 in^3
We already have 20 cubic inches of water there, so what we need to fill is:
226.08 in^3 - 20in^3 = 206.08in^3
If we fill it at a rate of 8in^3/s, the time in which we will completely fill the cylinder is:
T = 206.08in^3/8in^3/s = 25.76s
In 25.76 seconds we will fill the total volume of the cylinder.
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The sum of eight and half
of a number
We get the expression for the statement "The sum of eight and half of a number" as (16 + x) / 2.
We are given a statement:
The sum of eight and half of a number.
We have to form an expression for the same.
An expression means a combination of numbers and variables.
Let the number be a variable say x.
Now we need the half of a number.
1 / 2 of x = x / 2
Now we need the sum of 8 and x / 2.
So, it will be:
8 + x / 2
= (16 + x) / 2
Therefore, we get the expression for the statement "The sum of eight and half of a number" as (16 + x) / 2.
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The branch of statistical studies called descriptive statistics summarizes important aspects of a data set. True or false?.
The branch of statistical studies called descriptive statistics summarizes important aspects of a data set is true.
It is required to find the statement.
What is a statement?A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.
Given:
The branch of statistical studies called descriptive statistics summarizes important aspects of a data set.
Descriptive statistics refers to the summary of important aspects of a data set.
Therefore, the branch of statistical studies called descriptive statistics summarizes important aspects of a data set is true.
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