What is a tangent line in relation to a circle?
Answers
Answer:
A tangent to a circle is a straight line which touches the circle at only one point.
Step-by-step explanation:
This point is called the point of tangency. The tangent to a circle is perpendicular to the radius at the point of tangency.
Related Questions
What is the Cubed root of -108
Answers
Answer:
about -4.7622
Step-by-step explanation:
You want the cube root of -108.
CalculatorYour calculator will tell you the cube root of -108 is about -4.7622.
__
Additional comment
Some calculators compute roots using logarithms. Since the logs of negative number are not real, they will give you an error if you try to do this directly. You have to know that the odd index root of a negative number is the opposite of the same root of its absolute value.
The prime factoring of 108 is 2²·3³. Factoring out the perfect cube gives the simplified form ...
∛-108 = -3∛4
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dont
get
this
help
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Answers
Answer:
6 first box. 12 second box. 21 third box. 10 fourth box. 4 fifth box.
Step-by-step explanation:
Look for common denominaters, that will show you what to multiply the equation by to get rid of fractions.
Data Classification For the given datasets, circle the data classification (categorical or quantitative) and type of data (Nominal or Ordinal or Continuous or Discrete). A. Height of sunflowers in a field. 1. Categorical or Quantitative 2. Nominal or Ordinal or Continuous or Discrete B. Jersey color of all the NCAA football teams.1. Categorical or Quantitative 2. Nominal or Ordinal or Continuous or Discrete
Answers
the data classification (categorical or quantitative) and type of data (Nominal or Ordinal or Continuous or Discrete)
A. Height of sunflowers in a field.
1.Quantitative
2.Continuous
B. Jersey color of all the NCAA football teams.
1.Categorical
2.Nominal
A. Height of sunflowers in a field.
1.Quantitative
2.Continuous
B. Jersey color of all the NCAA football teams.
1.Categorical
2.Nominal
Data classification is a process of organizing data into categories based on their characteristics, attributes, or features. There are two main types of data classification:
Categorical Data: Data that can be divided into categories or classes. For example, color, gender, and type of cuisine are all examples of categorical data. Categorical data can be further classified into two types:
a. Nominal Data: Data that does not have an inherent order or ranking. For example, hair color, eye color, and favorite movie are all examples of nominal data.
b. Ordinal Data: Data that has a natural order or ranking. For example, education level (high school, college, postgraduate), star rating (1 star, 2 stars, 3 stars), and satisfaction level (very unsatisfied, unsatisfied, neutral, satisfied, very satisfied) are all examples of ordinal data.
Quantitative Data: Data that can be measured and expressed as a number. For example, height, weight, and time are all examples of quantitative data. Quantitative data can be further classified into two types:
a. Continuous Data: Data that can take on any value within a specified range. For example, height, weight, and temperature are all examples of continuous data.
b. Discrete Data: Data that can only take on specific values. For example, number of children in a family, number of pets, and number of rooms in a house are all examples of discrete data
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How many lines of symmetry are there in the object pictured below?
O A. 1
O B. 3
O C.0
O D. 2
Answers
B. 3
triangles only have 3 lines of symmetry and circles have infinite
-2(7-15)
What is the value of
O 2
Please I need help
Answers
The answer to this is 16
Rebecca had
9
10
of a yard of ribbon. Then she gave
7
20
of a yard to a friend. How much does she have left?
Rebecca had
9
10
of a yard of ribbon. Then she gave
7
20
of a yard to a friend. How much does she have left?
Rebecca had 9/10
of a yard of ribbon. Then she gave 7/20
of a yard to a friend. How much does she have left?
Answers
Answer:
\( \frac{9}{10} - \frac{7}{20} \\ \frac{9 \times 2}{10 \times 2} - \frac{7}{20} \\ \frac{18}{20} - \frac{7}{20} \\ \frac{18 - 7}{20} \\ \frac{11}{20} \\ 0.55\)
Step-by-step explanation:
rabeeca has 0.55 ribbon left.
Answer:
11/20
Step-by-step explanation:
first you need to multiple 9/10 by 2/2 to get 18/20 and then 7/20 multipled by 1/1 and for the last step do 18-7 to get 11 so therefore the answer is 11/20
Solve the following system using the elimination method
y+3x=−2
2y−3x=14
Answers
Answer:
x = -2-y/3
Step-by-step explanation:
Riley received financial assistance to pay for his college education. After he graduates, he will have to pay back the amount of money he received plus any interest that accrues after graduation. Which kind of financial assistance did Riley receive?
Answers
Answer:
student loan
Step-by-step explanation:
read then re read
Answer:
student loan
Step-by-step explanation:
its college
HELP!Write the equation of the line fully simplified slope-intercept form.
Answers
Two points: (-5,-2) and (5,4)
(4+2)/(5+5) = 6/10 = 3/5 slope
So far: y = 3/5x + b
Plug in any of the point
-2 = 3/5(-5) + b, b = 1
Final equation: y = 3/5x + 1
Answer:
y=3/5x+1
Step-by-step explanation:
Question 14 (Essay Worth 12 points)
(Comparing Data HC)
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Sky View School
9, 7, 2,0
8, 7, 6, 5, 5, 5, 4, 3, 1, 0
0
1
South Lake School
5,8
0, 1, 2, 6, 6, 8
2
0 3
Key: 2|1|0 means 12 for Sky View and 10 for South Lake
5, 5, 6, 7, 8
0,6
Part A: Calculate the measures of center. Show all work. (5 points)
Part B: Calculate the measures of variability. Show all work. (5 points)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (2 points)
7
Answers
To find the measures of center, we need to determine the median for each school.
For Sky View School:
Arrange the data in order: 0, 0, 1, 2, 3, 4, 5, 5, 5, 6, 7, 7, 8, 9
The median is the middle value, which is 5.
For South Lake School:
Arrange the data in order: 0, 0, 1, 2, 2, 5, 6, 6, 8
The median is the middle value, which is also 5.
Therefore, the median class size for both schools is 5.
Part B: Measures of variability
To find the measures of variability, we need to determine the range and interquartile range (IQR) for each school.
For Sky View School:
The smallest value is 0 and the largest value is 9, so the range is 9 - 0 = 9.
To find the IQR, we need to find the first and third quartiles. The median is 5, so the first quartile is the median of the lower half, which is (0 + 1 + 2 + 3 + 4)/5 = 2. The third quartile is the median of the upper half, which is (6 + 7 + 8 +9)/4 = 7.25 (rounded to two decimal places).
Therefore, the IQR is 7.25 - 2 = 5.25.
For South Lake School:
The smallest value is 0 and the largest value is 8, so the range is 8 - 0 = 8.
To find the IQR, we need to find the first and third quartiles. The median is 5, so the first quartile is the median of the lower half, which is (0 + 0 + 1 + 2)/4 = 0.75 (rounded to two decimal places). The third quartile is the median of the upper half, which is (6 + 6 + 8)/3 = 6.67 (rounded to two decimal places).
Therefore, the IQR is 6.67 - 0.75 = 5.92 (rounded to two decimal places).
Part C: Choosing a school based on class size
If you are interested in a smaller class size, South Lake School is the better choice. This is because the range and IQR for South Lake School are smaller than those for Sky View School, indicating that the class sizes at South Lake School are more consistent and less variable. Additionally, the largest class size at South Lake School is 8, while the largest class size at Sky View School is 9, further indicating that South Lake School may have smaller class sizes overall.
Measures of center for Sky View School:
Mean = (0+1+2+3+4+5+5+5+6+7+7+8+9)/13
Mean = 4.8
Median = 5
Measures of center for South Lake School:
Mean = (0+1+2+2+3+5+6+6+8+8)/10
Mean = 4.1
Median = 5
Part B:
Measures of variability for Sky View School:
Range = 9 - 0 = 9
Interquartile Range (IQR) = Q3 - Q1 = 7 - 2 = 5
Variance = [(0-4.8)^2 + (1-4.8)^2 + (2-4.8)^2 + (3-4.8)^2 + (4-4.8)^2 + (5-4.8)^2 + (5-4.8)^2 + (5-4.8)^2 + (6-4.8)^2 + (7-4.8)^2 + (7-4.8)^2 + (8-4.8)^2 + (9-4.8)^2]/12
Variance = 7.6
Standard Deviation = √7.6
Standard Deviation = 2.76
Measures of variability for South Lake School:
Range = 8 - 0 = 8
Interquartile Range (IQR) = Q3 - Q1 = 6 - 1 = 5
Variance = [(0-4.1)^2 + (1-4.1)^2 + (2-4.1)^2 + (2-4.1)^2 + (3-4.1)^2 + (5-4.1)^2 + (6-4.1)^2 + (6-4.1)^2 + (8-4.1)^2 + (8-4.1)^2]/9
Variance = 6.45
Standard Deviation = √6.45
Standard Deviation = 2.54
Part C:
If you are interested in a smaller class size, South Lake School is a better choice for you. This is because the measures of center and variability for South Lake School are both smaller than those for Sky View School.
if (-2,27) lies on the graph of f, then f( )=_____.
Answers
\((\stackrel{x}{-2}~~,~~\stackrel{y}{27}) ~~ \textit{lies on }\textit{\LARGE f}\qquad \textit{so then}\qquad f(\stackrel{x}{-2})~~ = ~~\stackrel{y}{27}\)
simplify each expression below. Compare your answers with your classmates answers.
Answers
Answer:
1)17
2)33
3)9
4)27
5)1252
6)50
Step-by-step explanation:
2)33
3)9
4)27
5)1252
6)50
Hope this helped:
Find all values of x that are NOT in the domain of f
Answers
Answer:
……….
Step-by-step explanation:
Cathy wants to know the cost of painting the given figure if the cost of painting the given figure is $12 per square unit.
Answers
Answer:
It would cost 6840 dollars, and why does it cost so much?
80*108=8640
That's the area of the entire thing without the gap.
Next you subtract the gap.
36*50=1800
8640-1800=6840
How many times larger is 2x10^15 than 4x10^9
Answers
Answer:
500,000
Step-by-step explanation:
2 · 10^15 = 2,000,000,000,000,000
4 · 10^9 = 4,000,000,000
2,000,000,000,000,000 divided by 4,000,000,000 = 500,000
Tip: When you're multiplying 10 to the power of any number, you can just add that amount of zeros to 1.
Example: 10^7
Answer: 10,000,000
There are seven zeros.
Hope I helped :)
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Pam and her grandma are planning to make a quilt together. The quilt will be made out of fabric squares that measure 6 inches on each side. The quilt will have 3 more squares along its longer edge than it will have along its shorter edge.
If there are x fabric squares along the quilt's shorter edge, find an expression for f(x), the length of the quilt's shorter edge in inches.
f(x)=
6x
Next, find an expression for g(x), the length of the quilt's longer edge in inches.
g(x)=
Which function can you use to find the area of the quilt in square inches?
Answers
Answer:
There are x squares on the shorter side, each square measures 6 inches.
The length of the shorter side is:
f(x) = x*6 = 6xThe length of the longer side is:
g(x) = (x + 3)*6 = 6x + 18The area of the quilt is:
A = 6x(6x + 18) = 36x² + 108xJamal read 1/11 of a book in 2/5 of an hour at this rate how long will it take him to read the entire book?
Answers
Answer:
264 minutes OR 4.4 hours OR 4 hours and 24 minutes (all the same)
Step-by-step explanation:
if he takes 2/5 of an hour to read the 1/11 of the book, he takes 24 minutes to read 1/11 of the book.
24 * 11 is 264.
Therefore he will take 264 minutes to finish the entire book.
Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.
Use the table to find her monthly PMI payment.
A. $51.25
B. $37.50
C. $23.75
D. $42.50
Answers
The monthly PMI Payment for Christina's loan is $37.50.The correct answer is option B.
To determine Christina's monthly PMI (Private Mortgage Insurance) payment, we need to find the corresponding interest rate for her loan-to-value (LTV) ratio. The LTV ratio is calculated by dividing the loan amount by the property value.
The loan amount can be calculated by subtracting the down payment from the property value:
Loan amount = Property value - Down payment
= $170,000 - $20,000
= $150,000
Now we can calculate the LTV ratio:
LTV ratio = Loan amount / Property value * 100
= $150,000 / $170,000 * 100
= 88.24%
Since Christina is obtaining a 30-year mortgage, we need to look at the interest rates for LTV ratios between 85.01% and 90%. According to the table, the interest rate for this range is 0.30%.
To calculate the PMI payment, we multiply the loan amount by the PMI rate and divide it by 12 months:
PMI payment = (Loan amount * PMI rate) / 12
= ($150,000 * 0.30%) / 12
= $450 / 12
= $37.50
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The Probable question may be:
Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.
Use the table to find her monthly PMI payment
Base to loan% = 95.01% to 97%,90.01% to 95%,85.01% to 90%,80.01% to 85%.
30-year fixed-rate loan = 0.55%,0.41%,0.30%,0.19%
15-year fixed-rate loan = 0.37%,0.28%,0.19%,0.17%.
A. $51.25
B. $37.50
C. $23.75
D. $42.50
Solve the equation
2.5y +6 =4.5y -1
Answers
Answer:
Step-by-step explanation:
4.5y - 1 = 2.5y + 6
2y - 1 = 6
2y = 7
y = 7/2 or 3.5
The length of a rectangle is 72
inches, and its width is 9 inches. What is the area of the rectangle?
Answers
Answer:
Step-by-step explanation:
Were trying to find the area so we have to multiply 72 times 9 which is 648Please answer. I will give brainliest to the best answer
Answers
Answer:
b
Step-by-step explanation:
took the test a bit ago
if Billy has three and four fifths of cake and Sam eats 2/3 of it how much cake does Billy have left
Answers
Answer:
3 and one third
Step-by-step explanation:
(3 1/3)
Una sala de cine de New York vende las entradas para niños a 3 dólares y las de los adultos a 5 dólares. Si para ver una película pueden ingresar tanto niños como adultos y en un día
ingresan 345 espectadores, recaudando por concepto de venta de boletas 1365 dólares. Se
puede afirmar que el número de niños y adultos que ingresaron fue:
Answers
A la sala de cine ingresaron 180 niños y 165 adultos.
¿Cuántos niños y adultos ingresaron a una sala de cine?
De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:
3 · x + 5 · (345 - x) = 1365
Donde x es el número de niños que asistieron a la sala de cine.
Ahora despejamos la variable correspondiente mediante propiedades algebraicas:
3 · x + 1725 - 5 · x = 1365
1725 - 2 · x = 1365
2 · x = 1725 - 1365
2 · x = 360
x = 180
Ahora, el número de adultos es:
y = 345 - 180
y = 165
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What is the domain of y = log Subscript 4 Baseline (x + 3)?
Answers
Answer:
All real numbers greater than -3
Step-by-step explanation:
The domain of a log is the baseline is greater than 0.
Set x + 3 greater than zero and solve
x + 3 > 0
x > -3
If I put 100 dollars in a money jar at the end of every month, for 10 years how much money will I have?
Answers
Answer:
$12,000
Step-by-step explanation:
100 x 12.
1200 x 10.
= 12000
The next number in the sequence 3, 7, 12, 18, 25, 33, 42
Answers
Answer:
You add 4 and add 5 and then add 6 you add 1 more extra every time!
Step-by-step explanation:
The next number in the sequence is 52. The extended sequence becomes: 3, 7, 12, 18, 25, 33, 42, 52.
To find the pattern in the sequence and determine the next number, let's look at the differences between consecutive terms:
7 - 3 = 4
12 - 7 = 5
18 - 12 = 6
25 - 18 = 7
33 - 25 = 8
42 - 33 = 9
The differences between consecutive terms are increasing by 1: 4, 5, 6, 7, 8, 9. Now, to find the next number in the sequence, we continue the pattern by adding the next number in the sequence of differences: The last difference was 9, so the next difference will be 9 + 1 = 10.
Now, add this difference to the last number in the given sequence:
42 + 10 = 52.
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What are the solutions to the following system of equations?
2x − y = 6
y = x2 − 9
(3, 0) and (−1, −8)
(3, 0) and (4, 2)
(−3, 0) and (−1, −8)
(−3, 0) and (4, 2)
Answers
Answer:
(3, 0) and (−1, −8)
Equation's:
2x − y = 6y = x² − 9Substitute equation 2 into 12x − (x² − 9) = 6
2x - x² + 9 = 6
-x² + 2x + 9 - 6 = 0
-x² + 2x + 3 = 0
x² - 2x - 3 = 0
x² - 3x + x - 3 = 0
x(x - 3) + 1(x - 3) = 0
(x + 1)(x - 3) = 0
x = -1, x = 3
Find values for yIf x = -1, then y = (-1)² - 9 = -8
If x = 3, then y = (3)² - 9 = 0
Solution Set:(x, y) = (-1, -8), (3, 0)
4.24 3 90° A 3 C сов А n this triangle, COBB Reset Next Edmentum. All rights reserved.
Answers
Answer
Cos A / Cos B = 1
Explanation
Cos = Adjacent / Hypotenus
Cos A = adjacent / hypotenus
Cos A = 3 / 4.24
Cos B = Adjacent / hypotenus
Cos B = 3 / 4.24
Cos A / Cos B = 3 / 4.24 * 4.24 / 3
Cos A / Cos B = 1
write and solve an inequality to find the possible values of x
Answers
The inequality that represents the value of x is (b) x > 80
Writing and solving the inequality for xfrom the question, we have the following parameters that can be used in our computation:
The figure
The general rule is that
The larger the side length, the larger the angle opposite it
using the above as a guide, we have the following:
1/8x > 10
So, we have
x > 80
Hence, the inequality is x > 80
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#4
Write an equation in slope-intercept
form to represent the line
perpendicular to 6y = 9 - x with
y-intercept 2
O y = -6x + 2
O y = 2x + 9
Answers
Answer:
A, y= -6x + 2
Step-by-step explanation:
1. Put the equation into slope intercept form
6y = 9 - x
y= -1/6x + 9/6
The slope of equation 1 is -1/6
2. A perpendicular line is the inverse slope of our firsy equation. (-1/6)^-1 = -6.
3. The y intercept of a line in slope intercept form is the b value in the equation as written:
y=mx+b
Therefore, if m=-6 and b=2, our equation is
y= -6x + 2