I need major help!!!!
What is the area of a circle with a diameter of 13.2 cm?
Use 3.14 for pi and round your final answer to the nearest hundredth.
Enter your answer in the box.
Which explanation can be used to derive the formula for the circumference of a circle?
A. Find the length of the diameter and double this amount. Subtract it from the length of the circumference. Set an equation to show the difference equaling the ratio between a circumference and radius. Then rearrange the equation to solve for the circumference.
B. Find the length of the radius. Then find the circumference. Use the square of the radius to set up an equation showing the relationship that the square of the radius equals the π times circumference. Then rearrange the equation to equal the circumference.
C. Find the length of the radius and the area of the circle. Divide the area by the radius to get a quotient of π . Write an equation showing the area of a circle equals this quotient times the radius. Then substitute the area for 3 times the circumference and rearrange the equation to equal the circumference.
D. Find the length of the diameter and the length of the circumference of the circle. Divide the length of the circumference by the length of the diameter. Set up an equation showing the ratio of the circumference to the diameter equal to π . Then rearrange the equation by solving it for the circumference. Substitute 2 times the radius for the diameter.
A regular polygon inscribed in a circle can be used to derive the formula for the area of a circle. The polygon area can be expressed in terms of the area of a triangle.
Let s be the side length of the polygon,
let r be the hypotenuse of the right triangle,
let h be the height of the triangle, and
let n be the number of sides of the regular polygon.
polygon area = n(1/2*sh)
Which statement is true?
As h increases, the area of the regular polygon approaches the area of the circle.
As s increases, the area of the regular polygon approaches the area of the circle.
As n increases, the area of the regular polygon approaches the area of the circle.
As r increases, the area of the regular polygon approaches the area of the circle. (has picture)
What is the area of a circle whose radius is 5 ft?
5π ft²
10π ft²
20π ft²
25π ft²
The circumference of a circle is 5π cm.
What is the area of the circle?
25π cm²
10π cm²
6.25π cm²
2.5π cm²
Answers
Radius = 13.2 ÷ 2
= 6.6
Area = (3.14)(6.6)^2
= 136.78cm^2
I hope this helps!
Related Questions
When the blue trapezoid is translated to the green one, the new coordinates of the point (0, 0) will be
A) (-6, -2).
B) (-2, -8).
C) (-8, -6).
D) (-6, -8).
Answers
Answer: The correct option is (D) (-6, -8).
Step-by-step explanation: we are given to find the new co-ordinates of the point (0, 0) when blue trapezoid is translated to the green one in the figure.
As shown in the given figure, to translate blue trapezoid to green one,
the x-coordinate of each vertex of blue trapezoid is decreased by 6 units,
and
the y-coordinate of each vertex of blue trapezoid is decreased by 8 units.
So, the new co-ordinates of the point (0 0) becomes
(0, 0) ⇒ (0-6, 0-8) = (-6, -8).
Therefore, the new co-ordinates of the point (0 0) are (-6, -8).
Thus, (D) is the correct option.
A high-speed catamaran operates between city and city
b. the catamaran can make the 157-mile trip in about 2 1/2 hours. find the catamaran speed for this trip.
Answers
157/2.5=62.8miles per hour
Prove that a triangle with sides n^2 1, n^2 - 1 and 2n (for n > 1) is a right triangle
Answers
You have lost a sign "+".
[tex](n^2-1)^2+(2n)^2\\ =n^4-2n^2+1-4n^2\\ =n^4+2n^2+1\\ =(n^2+1)^2 [/tex]
Theorem of Pythagore is verified in this case: the triangle is a right one
Which property is illustrated by the following equation?
- 10 + 8 = 8 + ( - 10 )
Answers
The sum of two numbers is 154. if four timesfour times the smaller number is subtracted from the larger number, the result is 14. find the two numbers.
Answers
In 2.5 hours, Mr. Castelli drives a distance of 125 miles. He wants to know his average driving speed in meters per minute. Complete the table to find Mr. Castelli's average driving speed in meters per minute by using the units as a guide. [Note: 1 mile is approximately equal to 1.62 kilometers] miles per hourkilometers per hourmeters per hourmeters per minute
Answers
Miles per hour: 50
Kilometers per hour: 81
Meters per hour: 81,000
Meters per minute: 1,350
The formula for the area of a triangle is a = 1 2 bh, in which b represents the length of the base and h represents the height. if a triangle has an area of 192 mm2 and the height is 16 mm, what is the measure of the base?
Answers
The weekly demand and supply functions for Sportsman 5 × 7 tents are given by
p = −0.1x^2 − x + 33
p = 0.1x^2 + 2x + 13
respectively, where p is measured in dollars and x is measured in units of a hundred. Find the equilibrium quantity. Find the equilibrium price.
Answers
To find the equilibrium quantity and price for tents, we equated the demand -0.1x² - x + 33 with the supply 0.1x² + 2x + 13, solved the equation, and found the equilibrium quantity to be 500 units and the equilibrium price to be $25.50.
To find the equilibrium quantity and price for the Sportsman 5 x 7 tents, we need to set the demand function equal to the supply function.
Demand function: p = -0.1x² - x + 33
Supply function: p = 0.1x² + 2x + 13
Setting them equal to each other:
-0.1x² - x + 33 = 0.1x² + 2x + 13
Now, combine like terms to solve for x:
-0.1x² - 0.1x² - x - 2x + 33 - 13 = 0
-0.2x² - 3x + 20 = 0
To find the equilibrium quantity x, we solve this quadratic equation.
By dividing the entire equation by -0.2 to simplify:
x² + 15x - 100 = 0
The factored form of the equation is (x + 20)(x - 5) = 0, this yields two solutions for x: x = -20 (which we dismiss as a negative quantity that does not make sense in this context) and x = 5. Therefore, the equilibrium quantity is 5 (in hundreds of units).
To find the equilibrium price, substitute x = 5 into either the demand or supply function:
p = -0.1(5)² - (5) + 33
p = -2.5 - 5 + 33
p = 25.5
So the equilibrium price is $25.50.
mVUT =175, mVUJ=17x-3, and mJUT=17x+8. Find x
Answers
Angles property: Angles around a point add up to 360°
We set up an equation
[tex]175+17x-3+17x+8=360[/tex]
[tex]180+34x=360[/tex]
[tex]34x=360-180[/tex]
[tex]34x=180[/tex]
[tex]x= \frac{180}{34}= \frac{90}{17} [/tex]
Final answer:
To find the value of x, the student needs to set up an equation based on the sum of angles in a triangle, which is given as 175 degrees. The algebraic expressions for the other angles are used to establish the equation, which is solved for x, resulting in x = 5.
Explanation:
The student is asking for help with a geometric problem where the sum of the measures of angles in a triangle is given along with two algebraic expressions for the other angles. The fact that the angles add up to 175 degrees helps us establish an equation: mVUT = mVUJ + mJUT. Substituting the given values, we get 175 = (17x-3) + (17x+8). Simplifying this, we get 175 = 34x + 5. Subtracting 5 from both sides, we get 170 = 34x. Dividing both sides by 34, we find that x = 170 / 34, which simplifies to x = 5. Therefore, the value of x is 5.
if 2/3 of the girls in class have brown eyes and 1/4 of the girls have blue eyes, what fraction of the girls in class have neither blue or brown eyes? need help
Answers
1/4 = 3/12
hence fraction of girls with neither blue or black eyes = 1 - 8/12 -3/12 = 1/12
The fraction of the girls in class have neither blue or brown eye is 1 /12.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
We have been given that if 2/3 of the girls in class have brown eyes and 1/4 of the girls have blue eyes.
We are asked the fraction of the girls in class have neither blue or brown eyes.
Thus, we get;
1 - ( 2/3 + 1 /4 )
= 1 - ( 8 / 12 + 3 / 12 )
= 1 - 11 / 12
= 12 / 12 - 11 /12
= 1 /12
Therefore,
the fraction of the girls in class have neither blue or brown eye is 1 /12.
Learn more about fraction;
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Students received these scores: 70, 75, 80, 90, 95, 95, and 100. the score of 95 is what?
Answers
Graph the image of the given triangle, reflected across the y-axis for 2.
Graph the image of the given triangle after the transformation that has the rule (x, y)→(x, −y) for 3.
Answers
The rule (x, y) → (x+2, y-4) represents a translation 2 units RIGHT and 4 units DOWN. We know it's translated right from x + 2 (this is a translation across the horizontal axis) and it's translated down from y - 4 (this is a translation across the vertical axis).
Question 2:
Refer to the first diagram attached below
Question 3:
Refer to the second diagram attached below
Question 4:
We first need to work out the sum of angle in a pentagon, using the formula:
Sum of interior angles = (number of sides - 2) × 180°
Sum of interior angles = (5 - 2) × 180
Sum of interior angles = 3 × 180
Sum of interior angles = 540°
Then we set up an equation:
121° + 108° + 102° + 100° + x = 540°
431° + x = 540°
x = 540 - 431 = 109°
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Question 5
Exterior angles of a polygon add up to 360°
We are assuming that the 13-sided polygon is a regular polygon, meaning all sides of the same length.
The size of one exterior angle = 360° ÷ 13 sides = 27.7° (to the nearest tenth)
1: up two, down four
For question 2 graph:
-7, -4
-9, -7
2, -9
For question 3 graph:
-5, 2
2, -7
4, 3
Question 5 just divide 360 / 13
You will get 27.69.. just round 27.7
Please help with all 3 questions and show all work thank you.
1) Find the area and perimeter of a rectangle with base 8 in. and height 15 in.
2) Find the distance between the points B(-2, 14) and C(3, 8) to the nearest tenth.
3) The midpoint of segment XY is (6, -3). The coordinates of one endpoint are X(-1,
Find the coordinates of endpoint Y.
Answers
15+15=30
30+16=46-perimeter
15*8=120-area
2.well the slope is 3/4 but i don't know the distance
3.y(13, -6)
2) 7.8102= 7.8
3) Y endpoint = 5/2 i think
Which of the following statements best describes the relationship between a line and a point in a plane?
Answers
2 times as many as 8 is 16
Answers
Answer:
or 16 is the result of doubling 8
Step-by-step explanation:
Defined by two lines or rays diverging from a common point.
A) arc
B) angle
C) parallel lines
D) perpendicular lines
Defined as bounded by two distinct end points that contain every point on the line between its end points.
A) circle
B) line segment
C) parallel lines
D) perpendicular lines
Answers
Answer:
1. Angle
2. Line Segment
Step-by-step explanation:
Two lines or rays diverging from a common point defines an 'angle', which is a figure forming from two rays starting from the same end-point.
Now, a figure bounded by two distinct end points which contain every point on the line between its end points defines a 'line segment'.
Hence, the answer are: Angle and Line Segment respectively.
If a polygon has eight sides then it is an octagon. True or False
Answers
Numbers 1-30 are written on cards and placed in a bag. One card is drawn. Find each probability.
a. drawing an even number or a 1.
b. drawing an even number or a multiple of 7.
Answers
Answer:
A. [tex]\frac{8}{15}[/tex] There are 15 even number and then there is 1 so 16 possibilities in total.
B. [tex]\frac{19}{30}[/tex] There are 15 even numbers and there are 4 multiples of 7 so 19 in total.
The question requires calculating the probability of drawing an even number or a 1, and an even number or a multiple of 7 from cards numbered 1 to 30. For the first case, the probability is 16/30 and for the second case, it's 17/30, considering mutually exclusive events and counting each outcome only once.
The question involves calculating the probability of drawing specific cards from a set of numbered cards. To find the probability of a particular outcome, we divide the number of ways that outcome can occur by the total number of possible outcomes.
Probability of drawing an even number or a 1
In the set of numbers 1-30, there are 15 even numbers (2, 4, 6, ..., 30) and one number 1. Since the events 'drawing an even number' and 'drawing a 1' are mutually exclusive, we add the probabilities. There are 16 favorable outcomes (15 even numbers + 1), out of a total of 30 possible outcomes.
Probability = Number of favorable outcomes / Total number of outcomes
= 16/30
Probability of drawing an even number or a multiple of 7
Again, from numbers 1-30, we have 15 even numbers. The multiples of 7 up to 30 are 7, 14, 21, and 28. Of these, 14 and 28 are also even numbers and have already been counted. Therefore, we have 2 additional unique multiples of 7 (7 and 21) to consider. Thus, there are 17 favorable outcomes (15 even numbers + 2 unique multiples of 7).
Probability = 17/30
Write a function rule for that table.
Answers
Hope this helps!
The quotient Of triple a number and 9 is decreased by the sum of the number and 5? Expression please
Answers
Hope it helps!!!!!!!!!
A doctor see each of her patients of 25 minutes durning a typical appointment how many patients can she see in a typical 7 1/2 hour day
Answers
Sees 18 patients
18X 25=450
450/60mins in hour 7.5 hours
The doctor can see 18 patients in 7 1/2 hour.
What is Unitary Method?
The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
We have,
A doctor see each of her patients of 25 minutes.
Time = 7 1/2 hour = 15/2 hour = 15 x 30 = 450 minutes
So, In 7 1/2 hour the doctor can see
= (15/2) / 25
= 450/25
= 18 Patients.
Thus, the doctor can see 18 patients.
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A Brainliest for the correct answer
Answers
What is the answer for 7-2n=n-14
Answers
Thirty-one books are arranged from left to right in order of increasing prices. The price of each book differs by $2 from that of each adjacent book. The price of the book at the extreme right is equal to the price of the middle book plus a book adjacent to the middle one. Give an expression for the cost of the $n$th book in terms of $n$
Answers
If it is adjacent to the right, the answer is:
p (k) = 2 * p(1) + 2 * k
If the is adjacent to the left, the answer is:
P (k) = 2 *p(1) +2 * (k-2)
You are going to order some of your favorite cookies. If you order two boxes it will cost you $14. If you place an order for eight boxes it will cost you $26. Write an equation that represents the cost of ordering your favorite cookies.
Step 1: Decide what information represents your two points.
Hint: The points are in the format (number of boxes of cookies, cost) as these are your two variables.
Point 1: Point 2:
Step 2: Use your two points to write an equation.
Answers
so im just gonna try and guess what the equation might be ^-^
14 devided by 2=?
26 devided by 8=?
then multiply the two answers to get the final answer.
(note im not trying to take points im just trying to help out a friend so im sorry if its wrong chika)
How do we plot the points?
We should obviously start out with a graph. We only need Quadrant I. We will let our x-axis (the horizontal axis) contain the number of boxes of cookies, and our y-axis (the vertical one) contain our prices.
We put our number of boxes on the x-axis because it is the independent variable, while the price per box goes on the y-axis because it is the dependent variable.
At this "point," we should be able to plot our numbers at the proper points. We can simply line up our "dot" (point) with the information given, so that Point 1 is (2 , 14) and Point 2 is (8 , 26). We know that information from the prompt.
Now, we simply need to draw a line that connects these 2 points.
Once we have done that, we need to remember the equation for a line. This is "y=mx+b" where "m" is our slope and "b" is our y-intercept. Our slope is going to be in a fraction with the format [tex] \frac{rise}{run}[/tex], or the change in the y-value over the change in the x-value.
When we work this out, we will find that the equation for this is y=2x+10.
Below, I have attached an image of the graph that we should make while doing this. Note that this graph "goes by 2s." The red point represents 2 boxes for 14 dollars. The blue point represents 8 boxes for 26 dollars. The green line represents the relationship between them.
There are entrees available at a restaurant. from these, archie is to choose for his party. how many groups of entrees can he choose, assuming that the order of the entrees chosen does not matter?
Answers
Only 1 entree: 3 groups
Only 2 entrees: 3 groups
All the 3 entrees: 1 group
total groups of entrees= 3 + 3 + 1 = 7 groups
____________
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In a lottery, a 4 digit number from 0000 to 9999 is randomly selected. Find the probability that the number selected begins with a 3 and ends in a 2 or 0.
Answers
Since the choices is from 0000 to 9999, therefore there are a total of 10,000 possibilities.
The possibilities that the number begins with a 3 and ends in a 2 or 0 is:
possibilities = 1 * 10 * 10 * 1 + 1 * 10 * 10 * 1 = 200
Therefore the probability is:
P = 200 / 10,000 = 0.02 = 2%
So there is a 2% probability.
Final answer:
The probability that a randomly selected 4-digit number begins with a 3 and ends with a 2 or 0 is 0.0200 or 2%.
Explanation:
To find the probability that a randomly selected 4-digit number begins with a 3 and ends in a 2 or 0, we can use the rule of product for independent events. Since the first digit must be 3, there is one choice for the first digit. For the second and third digits, they can be any number from 0 to 9, so we have 10 choices for each. The last digit can be either 2 or 0, which provides 2 possibilities.
Thus, the total number of favorable outcomes is 1 (for the first digit) × 10 (for the second digit) × 10 (for the third digit) × 2 (for the last digit) = 200 favorable outcomes. The total number of possible 4-digit numbers is 10000 (ranging from 0000 to 9999).
So the probability is calculated as the number of favorable outcomes divided by the number of total possible outcomes: Probability = 200 / 10000 = 0.02. After rounding to four decimal places, as instructed, the probability is 0.0200 or 2%.
Add 5/12 + 69/10 enter you answer below as a fraction in lowest terms using the slash ( / ) as the fraction bar
Answers
25/60 + 414/60 =
439/60 <== and this will not reduce
Jeff Simmons sold 27 cars last month.This 36 fewer cars than he sold during the same time period one year ago
Answers
If that is the case, then the answer would be 63.
27+36=63
Marianna buys a snack combo for $2.50 if the sales tax rate is 8% what is the total price of the combo including tax
Answers
(1) 2.50 + 0.08(2.50) = 2.50 + 0.20 = 2.70 <=
or
(2) 2.50 (1.08) = 2.70 <=
either way, u get the same answer
To find the total price of an item including sales tax, convert the tax rate to a decimal and multiply by the item's cost. The total cost for a $2.50 snack combo with an 8% tax is $2.70.
The question involves calculating the total price of an item including sales tax. To find the total cost including tax, we need to first figure out the amount of sales tax by converting the tax rate from a percent to a decimal. Then, we will multiply this decimal by the initial cost of the item to get the tax amount.
Here's a step-by-step explanation using the provided example:
Convert the sales tax rate from a percent to a decimal: 8% as a decimal is 0.08.Multiply the decimal tax rate by the cost of the item: 0.08 \\times $2.50 = $0.20.Add the tax to the initial cost to get the total price: $2.50 + $0.20 = $2.70.Therefore, the total price of the snack combo including an 8% sales tax is $2.70.