A right triangle has vertices at the origin, (0, 5) and (12, 0). The triangle was dilated with a scale factor of 3. What is the perimeter of the resulting triangle? Round to the nearest whole number, if necessary.
Answers
Answer:
The three vertices are (0,0), (0,15) and (36,0).
Step-by-step explanation:
Dilation : Multiply all vertices' values.
Vertice 1 : Origin = (0,0); (0*3,0*3) = (0,0)
Vertice 2 : (0,5); (0*3,5*3) = (0,15)
Vertice 3 : (12,0); (12*3,0*3) = (36,0)
Related Questions
Complete the statement to describe the meaning of the point shown in the graph.
Answers
Answer:
Part A: the employee makes $120 in 4 hours (s)
Part B: y= $120
A 9 pound bag of sugar is being split into containers that hold 2/3 of a pound. How many containers of sugar will the 9 pound bag create?
A. 13 1/2
B. 15 1/3
C. 13 1/3
D. 27
Answers
Find the number that is four greater than three times its additive inverse.
Answers
Answer:
1
Step-by-step explanation:
let the number=x
x-4=-3x
x+3x=4
4x=4
x=4/4=1
The number that is four greater than three times its additive inverse
is - 3n + 4.
What are additive and multiplicative inverses?A number's additive inverse is a number that is added to it until the result is zero.
A number multiplied by another such that the result is 1 is the multiplicative inverse of that number.
Let the unknown number be 'n' so its additive inverse is '-n'.
So, the number that is four greater than three times its additive inverse is,
Three times of additive inverse is -3n.
Now the number is 4 greater than 3 times its additive inverse which is
= - 3n + 4.
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WHAT IS THE ANSWER TO HOW MANY LITTERS PER MINUTE
Answers
4.73176 is what I got by looking it up. Hope this helps!
Answer:
either 5 or 6
Step-by-step explanation:
healthy heart with a normal cardiac output pumps about 5 to 6 liters of blood every minute
Explain the cosine rule and sine rule while also saying how to use it and provide examples (keep it in simple terms)
Answers
Answer:
Sure, I'll explain the cosine rule and sine rule in simple terms:
The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.
Here's an example of how to use the cosine
Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.
Using the cosine rule:
a^2 = b^2 + c^2 - 2bc * cosA
where A is the angle opposite side a, we can plug in our values and solve for a:
a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)
a^2 = 64 + 36 - 96 * 0.707
a^2 = 10.56
a = sqrt(10.56)
a = 3.25 (rounded to two decimal places)
Therefore, the length of side a is approximately 3.25 units.
Answer:
Step-by-step explanation:
Alex is decorating a circular cake. She wants to place a triangle with the longest possible side within the circle. The radius of the circle is 4.5 inches. What is the longest side of the triangle measure?
Answers
2 and 5/8 divided by 13
a
21/104
b
25/263
c
23/110
d
22/105
Answers
Answer:
The answer is a, 21/104
Step-by-step explanation:
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
21/8 ÷13/1
Applying the fractions formula for division,
=21×18×13
=21/104
=21/104
hope this helps
Worth 15 pts.
Choose the correct answer
Answers
Answer:
Its c. c = 50.
Step-by-step explanation:
First, we need to figure out what the equation equals.
7 + 7/7 + 7*7 - 7 = x
PEMDAS
Parentheses, exponents, division/fraction, addition, subtraction.
7/7 = 1. So equation changed into 7 + 1 + 7*7 - 7 = x.
7*7 = 49. So equation changed again into 7 + 1 + 49 - 7.
Lets calculate it. 7 + 1 = 8 + 49 = 57 - 7 = 50. x = 50.
c is the only one who has a calculation of 50.
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
14(n+7)=5n−7n+1 please help
Answers
Answer:
n = -97/16
Step-by-step explanation:
Write the main features of the right-angled triangle and list some of its properties.
Answers
Answer: A right angle is also equal to 90 degrees The sides that include the right angle are perpendicular and the base of the triangle. The third side is called the hypotenuse, which is the longest side of all three sides.
Graph the following.
\(1.) \: y = \frac{3}{4} x \: - 2\)
\(2.) \: y = - \frac{3}{2} x \: + 3\)
with solution pls
Answers
Answer:
Step-by-step explanation: ok so man im sorry cause like i do not know man but like you will figure it out i believe in you. I answered in spirit so u got this
Jamie buys 3 snacks and 2 bottles of juice. Each snack costs $0.75, and each bottle of juice costs j dollars. The total cost of the snacks and bottles of juice is $6.75. Which of the following equations could be used to find the cost of a bottle of juice, in dollars?
Answers
Answer:
2.25+2j=6.75
That is the answer I got
Step by step
Since you didn’t give options I will give you my equation.
3 snacks * .75 + 2 juice * x unknown $ = 6.75
3(.75) + 2j = $6.75 is the equation
Solve
2.25 + 2j = 6.75
Subtract 2.25 from both sides to isolate j
2.25 - 2.25 + 2j = 6.75 - 2.25
2j = 4.50
Divide both sides by 2 to solve for j
j = $2.25
Which of the following shows one way to simplify *picture attached*
Answers
Answer:
C
Step-by-step explanation:
Took the test
The one way to simplify the algebraic summation expression is; [[∑⁴³_(n = 1)] 3] + [[∑⁴³_(n = 1)] 9n]
How to solve Algebra Summation?
We want to simplify the algebraic summation;
[∑⁴³_(n = 1)] (3 + 9n)
Now, due to the addition sign, we can simplify this as;
[[∑⁴³_(n = 1)] 3] + [[∑⁴³_(n = 1)] 9n]
The only option that corresponds to our answer is Option A and so is correct.
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Which of the following measures would create two possible triangles?
Answer Choices:
three angles: 26°, 48°, and 106°
three sides: 5 cm, 9 cm, and 15 cm
an angle of 48° found between two sides: 4 cm and 6 cm
two sides, 4 cm and 6 cm, with an angle of 48° not found between them
Answers
Answer:
Below in bold.
Step-by-step explanation:
The three angles of a triangle add up to 180 degrees.
106 + 26 + 48 = 180
So this will give a triangle.
In a triangle, the sum of any 2 of the sides must be greater that the other side.
So, in the case of sides 5, 9 and 15 cm , 5 + 9 < 15 so these
will not give a triangle.
An angle of 48 between sides 4 and 6 cm:
Using the Cosine Rule to find the other side x:
x^2 = 4^2 + 6^2 - 2.4.6cos48
x^2 = 18.88 so x = 4.46 cm
So the 3 sides are 4 , 4.5 and 6 cm long
- this will make a triangle
An angle not betweem side of 4 and side of 6/
applying sine rule:
4 /sin 48 = 6 / sin x
sin x = 5 sin 48 / 4 = 1.1147
As yhe sine of an angle must b between - 1 and 1 no angle is possible so no trangle can be draw.
because the interior angles of a triangle must always add up to 180°:
26 + 48 + 106 = 180 ✅
What is the least common denominator for 32/25? It's a fraction
Answers
Answer:
1
Step-by-step explanation:
Rewriting input as fractions if necessary:
32/1, 25/1
For the denominators (1, 1) the least common multiple (LCM) is 1.
LCM(1, 1)
Therefore, the least common denominator (LCD) is 1.
Find the measures of the angles of the ∆ABC if m∠A : m∠B : m∠C = 2:3:4.
Answers
Answer:
m∠A = 2x = 2*20 = 40
m∠B = 3x = 3*20 = 60
m∠C= 4x = = 4*20 = 80
Step-by-step explanation:
we know sum of angles of triangle is 180 degrees
given
m∠A : m∠B : m∠C = 2:3:4
let the angle be
m∠A = 2x
m∠B = 3x
m∠C= 4x
we have taken such angle by applying rule of indices where
a:b:c = ax:bx:cx
which means that if we multiply all term of ratio by same number ratio remains same
thus,
2x+3x+4x = 180
9x = 180
x = 180/9 = 20
Thus,
m∠A = 2x = 2*20 = 40
m∠B = 3x = 3*20 = 60
m∠C= 4x = = 4*20 = 80
The graph shows the proportional relationship between the number of gems collected and the number of levels that have been completed in a video game.
Graph with x axis labeled game levels and y axis labeled gems collected. A line begins at 0 comma 0 and goes through points 6 comma 450 and 8 comma 600.
p equals 2 over 150
p = 0.0133
p = 75
p = 150
Answers
Answer:
the answer is 150 I'm pretty sure
PLEASE HELP I HAVE NO CLUEEE
Answers
Answer:
125000
Step-by-step explanation:
Answer:
1,125,000
Step-by-step explanation:
So first you take 75% which is 3/4 of 100%.
Then multiply 375,000 by 3 to get 1,125,000.
Hope this explanation helps ! :)
Aryona’s ship is 43 miles west off the dock. Aleena’s yacht is 25 miles north from Aryona. How far is Aleena from the dock?
Answers
Answer:
79 miles :p
Step-by-step explanation:
43 + 25
The population of two different villages is modeled by the equations shown
Suppose y represents the population and x represents the number of years
since 1980. What year(s) were the populations of both villages the same?
What was the population of both villages in the year(s) they were the same
Montville: y = x2 – 30x + 540
Havertown: y = 20x + 15
Answers
Answer:
Year = 1995 and population = 315
Year = 2015 and population = 715
Step-by-step explanation:
It is given that the population of two different villages is modeled by the given equations:
\(y=x^2-30x+540\)
\(y=20x+15\)
The population of both villages are same after x years after 1980 if
\(x^2-30x+540=20x+15\)
\(x^2-30x+540-20x-15=0\)
\(x^2-50x+525=0\)
Splitting the middle term, we get
\(x^2-15x-35x+525=0\)
\(x(x-15)-35(x-15)=0\)
\((x-15)(x-35)=0\)
\(x=15,35\)
It means, after 15 or 35 years, the population will same.
For x=15, years is \(1980+15=1995\) and population is
\(y=20(15)+15=315\)
For x=35, years is \(1980+35=2015\) and population is
\(y=20(35)+15=715\).
Therefore, population are equation in Year = 1995 and population = 315 or Year = 2015 and population = 715.
Year = 1995 and population = 315
Year = 2015 and population = 715
Calculation:The equation is
\(y = x^2 - 30x + 540\\\\y = 20x + 15\)
Now
\(x^2 - 30x + 540 = 20x + 15\\x^2 - 30x + 540 - 20x - 15=0\\\\x^2 - 50x + 525 = 0\\\\x^2 - 35x - 15x + 525=0\\\\x(x - 15) -35(x-15) = 0\\\\(x-15) (x-35) = 0\)
x = 15,35
so,
When x is 15 , the population is = 20(15 ) +15 = 300 + 15 = 315
And, x is 35 , the population is = 20(35 ) +15 = 700 + 15 = 715
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At the beginning of spring, Lydia planted a small sunflower in her backyard. The sunflower's height in inches, h, after w weeks, is given by the equation h=3.75w+14. What is the meaning of the h-value when w=1?
Answers
Answer:
Last optionStep-by-step explanation:
Here,
h = 3.75w + 14
=> h = 3.75(1) + 14
=> h = 17.75 inches
So,
We can conclude that this equation shows : How much the sunflower grows, in inches, each week.
Greshak Corp. reports the following revenues:
2015 $10,000,000
2016 $11,250,000
2017 $12,500,000
2018 $13,500,000
2019 $12,750,000
2020 $12,900,000
What was Greshak’s compound annual growth rate (CAGR) in revenues over the 6-year period 2015 through 2020?
Answers
Answer
around 10%
Step-by-step explanation:
perioh pooh
hope it right
What is payroll tax ???????????????????????????????????????????????????????????????
Answers
Answer:
The individual income tax (or personal income tax) is a tax levied on the wages, salaries, dividends, interest, and other income a person earns throughout the year. The tax is generally imposed by the state in which the income is earned.
Step-by-step explanation:
Payroll tax refers to the taxes that are deducted from an employee's wages or salary by their employer.
We have to give that,
To define Payroll tax.
Now, Payroll tax refers to the taxes that are deducted from an employee's wages or salary by their employer.
These taxes are withheld to fund various government programs and services.
Payroll taxes typically include federal, state, and local income taxes, as well as Social Security and Medicare taxes.
The amount of payroll taxes deducted from an employee's paycheck depends on factors such as income level, tax brackets, and the tax rates set by the applicable government authorities.
These taxes are then remitted by the employer to the appropriate tax agencies on behalf of their employees.
They are specifically related to employment income and play a crucial role in funding important government initiatives and social programs.
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Use order of operations to choose all of the expressions that are correctly solved.
(8 + 7) ÷ 3 = 5
(4 × 5) − 3 = 8
(4 × 5) − 3 = 17
14 − 7 × 2 = 0
14 − 7 × 2 = 14
12 + (7 + 9) = 28
Answers
2.) no
3.) yes
4.) yes
5.) yes
Answer:
1. correct
2. not correct
3.correct
4.correct
5. not correct
6. correct
Step-by-step explanation:
P(parenthesis) E(exponents) M(multiplication) D(division) A(addition) S(subtraction)
You first solve what is in the parenthesis (if there is any) than make your way down this list IN ORDER until you hit subtraction.
1.
\((8+7)/3=5\\\\(15)/3=5\\5=5\)
2.
(4 × 5) − 3 = 8
Parenthesis first
(20)-3=8
subtract
17=8
3.
(4 × 5) − 3 = 17
Do what is in parenthesis first
(20)-3=17
subtract
17=17
4.
14 − 7 × 2 = 0
Multiply 7*2 first
14-14=0
subtract
0=0
5.
14 − 7 × 2 = 14
Multiply 7*2 first
14-14=14
subtract
0=14
6.
12 + (7 + 9) = 28
Parenthesis first
12+(16)=28
Add
28=28
\(\frac{k}{-3}\) + 3+-2 a two step equation
Answers
Answer:A two-step equation is an algebraic equation you can solve in two steps. Once you've solved it, you've found the value of the variable that makes the equation true. Example 1 We're given an equation and asked to solve for x x: 3 x + 2 = 14 3x + 2 = 14 We need to manipulate the equation to get x x by itself.
Step-by-step explanation: i took the test and got it right
Number of classes
8
7
6
5
4
3
2
1
0
Classes taught by each math teacher
in the math department
Mr. Linn
Mrs. Ross
classes
Mr. Kelly
Teacher
Ms. Moss
What is the range of classes taught by these teachers?
Answers
8-0
8-0= 8
Range is 8
If I feed my lizard every 3rd day, and I feed my snake every 7th day, then on what day would they both be fed?
Answers
Answer:
21st `day
Step-by-step explanation:
3*3*3*3*3*3*3=21
7*7*7=21
21 is the lcm of 3 and 7
Mind lending a hand here? (Please answer all)
Answers
Answer:
1. 77.5 in2 2. 90 in2 3. 3 ft 4. 18 2/3 5. 2
Step-by-step explanation:
:D
(edit) all done, i hope you're right :D
1. write a rule for the sequence. 3,-3,-9,-15
A. start with 3 and add -6 repeatedly
B. start with -6 and add 3 repeatedly
C. start with 3 and add 6 repeatedly
D. start with 3 and subtract -6 repeatedly
2. Find the next three terms of the sequence. -6,-24,-96,-384,...
A. -768,-1,536,-3,072
B. -768,-3,072,-12,288
C. -1,536,-6,144,-24,576
D. -1,536,-9,216,-36,864
3. Write a rule for the sequence. then find the next three terms. 24,27,30,33,....
A. start with 24 and add 3 repeatedly; 36,39,42
B. start with 3 and add 24 repeatedly; 57,81,105
C. start with 3 and add 24 repeatedly; 36,39,42
D. start with 24 and add 3 repeatedly; 57,81,105
Answers
Answer:
a
c
a
Step-by-step explanation:
Number two is (C)
Number three is (A)