Answers
The ratio of the new area to the old area is 16:1. The correct option is the second option
Calculating the area of a circleFrom the question, we are to determine the statement that is true about the area of the circle.
First, we will determine the old area
Using the formula for calculating the area of a circle
A = πr²
Where A is the area
and r is the radius
From the given diagram,
r = 6 ft
Thus,
Old area = π × 6²
Old area = 36π ft²
Now,
If the radius is quadrupled
That is,
r = 4 × 6 ft
r = 24 ft
The new area will be
A = π × 24²
A = 576π ft²
The ratio of the new area to the old area is
576π ft² / 36π ft²
16 /1
= 16 : 1
Hence, the ratio is 16:1
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Related Questions
The diameter of a circle is 16 centimeters. How can I calculate the area?
Answers
Answer:
201.06 cm squared
Step-by-step explanation:
The formula for area of a circle is
A=πr²
Since they give you the diameter, you have to divide it by 2 to find the radius (16 ÷ 2)
Plug in the numbers (π × 64) and you get your answer!
Have a good day :)
3x-y=2 and 12x-4y=4 parellel or perpendicular line
Answers
Answer:
They are parallel line.
Select the interval where the graph h is increasing.
Answers
Answer: B
Step-by-step explanation:
Based on the graph, we know that it is increasing if it is going up from left to right.
A: incorrect
Looking at choice A, it says the interval is from -5<x<-4. This means we have to find x=-5 and x=-4. On the graph, that interval is going down from left to right, so it is decreasing.
B: correct
Looking at choice B, it says the interval is from -2<x<2. This means we have to find x=-2 and x=2. On the graph, that interval is going up from left to right, so it is increasing.
C: incorrect
Looking at choice C, it says the interval is from 3<x<4. This means we have to find x=3 and x=4. On the graph, that interval is going down from left to right, so it is decreasing.
Therefore, B is the correct answer.
Find the rate of change for this linear function.
y = 5x - 1
Find the initial value of the linear function
Y=5x+2
Answers
rate of change for this linear equation, y = 5x - 1 is +5
the initial value of the linear equation, y = 5x + 2 is +2.
What is linear equation?A linear equation is an algebraic equation of the form y = mx+c, where m is the slope and c is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." If a linear equation contains two variables, it is referred to as a linear equation in two variables, and so on.
Non-linear equations are those that do not produce a straight line. It has a changeable slope value and resembles a graphed curve.
Given that,
y = 5x - 1 is a linear equation.
As we know, when linear equation is in the form of y = mx + c, here m is the slope or the rate of change, and c is the Y-axis intercept, or value of y when x is zero, or initial value.
Therefore, for the given equation, rate of change is 5 and initial value is -1.
Given that,
y = 5x + 2
is a linear equation.
As we know, when linear equation is in the form of y = mx + c, here m is the slope or the rate of change, and c is the Y-axis intercept, or value of y when x is zero, or initial value.
Therefore, for the given equation, rate of change is 5 and initial value is + 2.
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How would the graph of y = 4x + 3 change if the y-intercept is changed to -2
А
The graph would move 5 units down.
B
The graph would move 5 units up.
с
The slope of the line would increase.
D
The slope of the line would decrease.
Answers
Answer:
А
The graph would move 5 units down.
Step-by-step explanation:
the distance from (0,3) to (0,-2) is 5units and the number decreased so it’s 5 units down
Mrs. Johnson lets her students choose between two word problems:
Problem A: If you are digging for dinosaurs and need to fence off your dig site, what's the biggest site you can fence off with 40 ft. of fence?
Problem B: What is the largest area you can create with 20 inches of rope?
Mrs. Johnson finds a significant majority of her students chose to work Problem A. Which of the following is the most likely reason more students chose Problem A instead of Problem B?
Answers
The reason to choose problem B over A is simple - it is more relatable to them.
Problem A involves dinosaurs, which may be more interesting to students than the abstract concept of creating an area with rope. Additionally, the use of feet as a unit of measurement in Problem A may be more familiar to students than inches.
Finding a number that represents the quantity of anything is called measurement. An accepted quantity that is used to represent a physical quantity is called a measurement unit. Let's learn about some of the standard units used to measure physical quantities.
The inch, foot, yard, and mile are the fundamental units of length and distance measurement in the English system. The rod, furlong, and chain are additional length units.
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How do you find the legs of a 45 45 90 triangle given the hypotenuse?
Answers
The value of the legs of the triangle would be hypotenuse/√2.
You can use basic trigonometry to solve this problem. We know that the sine of the angle made by the hypotenuse and the base is equal to the ratio of perpendicular height and the hypotenuse, given that the angle is 45° the perpendicular will be equal to ⇒ hypotenuse × sin(45°).
That is perpendicular=hypotenuse/√2
Similarly, the cosine of the angle made by the hypotenuse and the base is equal to the ratio of base length and the hypotenuse, given that the angle is 45° the base will be equal to ⇒ hypotenuse × cos(45°)
That is base=hypotenuse/√2
Therefore, the value of the legs of the 45°-45°-90° triangle would be hypotenuse/√2.
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At present 1 Euro can be bought at Rs 130. If Nepali money is revaluated by 10% then what is
the cost of 50 Euro ?
Answers
Answer:
130-(130×0.1)
117
if 1e=177
then 50e=5850
Can u please help.........................
Answers
The triangle ABC, along with it's image after the reflection x = -3, is given on the graph presented at the end of the answer.
How to obtain the image of the triangle?The coordinates for the original vertices of the triangle are given as follows:
A(-5, -6), B(-4, -3) and C(-3,-7).
The reflection line is given as follows:
x = -3.
The reflection lines is a vertical line, meaning that for the reflected triangle, the y-coordinate remains constant, while the x-coordinate means that the triangles will be on the same distance relative to the reflected line, however on the opposite direction.
Vertex A has a x-coordinate two units left of x = -3, hence the coordinates of the image will be two units right, hence:
A'(-3 + 2, -6) = (-1, -6).
Vertex B has a x-coordinate one unit left of x = -3, hence the coordinates of the image will be one unit right, hence:
B'(-3 + 1, -3) = B'(-2,-3).
Vertex C remains at the same position, as it has a x-coordinate of -3.
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PLS HELP ASAP THANK YOU
Answers
Answer:
PLS HELP ASAP THANK YOU
I am always there to help you
asked your question
hope it is helpful to you
Answer:
ok
Step-by-step explanation:
Geometry help please :)
Answers
I'm assuming you want to answer problem 5.
If so, then the answer is A = 84 degrees
==========================================================
Explanation:
Minor arc BC is 96 degrees. This is the measure along the edge of the curve from B to C, following the shorter path. You correctly identified that the central angle BKC is also congruent to this arc measure, since the central angle cuts off this arc.
Because segments AB and AC are tangents to the circle, this makes the segments to be perpendicular to the radii that meet at the point of tangency. In other words, AB is perpendicular to BK, and AC is perpendicular to CK.
Ignore line BC. Focus on quadrilateral ABKC. So far we know that
angle K = 96angle B = 90angle C = 90The only thing missing is angle A, which is what we're after. Recall that for any quadrilateral, the four interior angles always add to 360 degrees.
So,
A+B+K+C = 360
A+90+96+90 = 360
A+276 = 360
A = 360-276
A = 84
-----------------------
Or as a shortcut, you can use the property that because B and C are right angles, this means we have 360-B-C = 360-90-90 = 180 degrees left for angles A and K to add to. This makes angle A and angle K to be supplementary.
So,
A+K = 180
A+96 = 180
A = 180-96
A = 84
Could you help me solve this
Answers
Answer: The middle number is 15
Step-by-step explanation:
45/3= 15 so the three numbers will be around there.
14+15+16= 45
A drawer contains 9 red socks and 11 blue socks. It is dark and you are trying to grab a matching pair. How many socks do you need to take out to be sure of a matching pair
Answers
If we pull 3 socks then there is a 100% possibility that 2 socks will be of same colour.
What is Probability ?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportional ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
The likelihood that a specific occurrence will occur. (2): the proportion of the total number of available outcomes to the number of outcomes in an exhaustive set of equally probable options that result in a certain occurrence.
There are 9 red socks and 11 blue socks
So if we find a red/blue sock in the first turn,
The second can be both blue or red so we can't be sure it will be matching or not.
At third turn any one colour of sock will match with any of the two already pulled before if they are different.
So, if we pull 3 socks then there is a 100% possibility that 2 socks will be of same colour.
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26. Pregnancy length The length of human pregnancies from conception to birth
follows a Normal distribution with mean 266 days and standard deviation 16 days.
Choose a pregnant woman at random. Let X = the length of her pregnancy.
(a) Find P(X2 240) and interpret the result.
(b) What is P(X> 240)? Explain.
(c) Find the value of c such that P(X ≥ c) = 0.20. Show your work.
Answers
There is a chance (probability) of about 94.84% that the pregnancy last at least 240 days and P (X ≥ 240) = 0.9484 and the the value of c such that P(X ≥ c) = 0.20 is 279.44
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur,
Given that Mean (μ) = 266
and Standard deviation(σ) = 16
The z-score is the value decreased by the mean divided by the standard deviation:
z = (x−μ)/σ = (240−266)/16
≈−1.63
Determine the corresponding probability using the normal probability table in the appendix:
P (X ≥ 240)
= 1 - P (X < 240)
= 1 - P(Z < -1.63)
= 1 - 0.0516
=0.9484
(a) There is a chance of about 94.84% that the pregnancy last at least 240 days
(b) P (X ≥ 240) = 0.9484
(C) Given that 20% is greater than z, then we know that 80% or 0.80 is smaller than z.
The area of 0.7995 is closest to 0.8, and it is located in the row 0.8 and column .04
thus, the z-value is z=0.84.
x = μ+zσ = 266+0.84*(16 )
=279.44
The the value of c such that P(X ≥ c) = 0.20 is 279.44
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There is a chance (probability) of about 94.84% that the pregnancy last at least 240 days and P (X ≥ 240) = 0.9484 and the the value of c such that P(X ≥ c) = 0.20 is 279.44
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur,
Given that Mean (μ) = 266
and Standard deviation(σ) = 16
The z-score is the value decreased by the mean divided by the standard deviation:
z = (x−μ)/σ = (240−266)/16
≈−1.63
Determine the corresponding probability using the normal probability table in the appendix:
P (X ≥ 240)
= 1 - P (X < 240)
= 1 - P(Z < -1.63)
= 1 - 0.0516
=0.9484
(a) There is a chance of about 94.84% that the pregnancy last at least 240 days
(b) P (X ≥ 240) = 0.9484
(C) Given that 20% is greater than z, then we know that 80% or 0.80 is smaller than z.
The area of 0.7995 is closest to 0.8, and it is located in the row 0.8 and column .04
thus, the z-value is z=0.84.
x = μ+zσ = 266+0.84*(16 )
=279.44
The the value of c such that P(X ≥ c) = 0.20 is 279.44
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otal deposit for Problems 5 through 19.
Currency
Tens Fives Ones Half Dollars Quarters Dimes Nickels Pennies Checks Total
$96.23 $
6.51
63 874.56
85
123.65
347.98
134.97
0
43.44
5
168.14
31
777.50
154 123.19
12 11
32
9
40
54
75
32
8
7
11
13
10
12
1
16
67
3
133 19
8
15
23
74
0
9
6
7
4
27
11
9
40
15
13
7
0
3
13
34
or
Coins
18
32
56
13
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15. Jess Norton stopped at an ATM location to deposit 2 one hundred-dollar
bills and checks for $474.85 and $321.15. He received $50.00 in cash.
16. Olive Baker, Spirit club treasurer, deposits the club's receipts. She has 4
checks for $10.00 each, 12 for $7.50, and cash consisting of six 20-dollar
bills, five 10-dollar bills, and 18 one-dollar bills.
17. Cyndi Winer deposits three checks for $425.22, $883.99, and $57.05. She
also deposits cash of 45 one-dollar bills, 15 five-dollar bills, and 12 ten-
dollar bills. The change deposited includes 28 quarters, 16 dimes, 19
nickels, and 65 pennies. She would like to receive $60.00 in cash.
18. Elias Rubio deposits three checks for $598.20, $2,274.26, and $3,248.79.
His cash consists of 75 one-dollar bills, 78 five-dollar bills, 33 ten-dollar
bills, 80 quarters, 32 dimes, 95 nickels, and 5 pennies. He would like to
receive $40.00 in cash.
Answers
The total cost of Jess Norton is $995.85 and the total cost of Olive Baker is $678 .
What is total cost ?
The total cost formula is used to total up the variable and constant expenses associated with providing commodities. Total cost = (Average Fixed Cost x Average Variable Cost) x Units Produced is the formula.
In economics, total cost is the total of all expenses a company incurs to produce a particular level of output.
The average cost, or the typical sum of money required to create a unit, can be determined using the cost function. The average cost function is A(x)=C(x)x, where x > 0 and C is the constant. Calculating the average cost per unit requires dividing the total cost by the quantity of units produced.
For Jees Norton,2 one hundred dollar bills = 2 x $100
= $200
Total deposits = 2 one hundred dollar bills + Checks
= $200 + $474.85 + $321
= $995.85
For Olive Baker,
Checks amount = $100 x 4
= $400
12 for $7.5
= 12 x $7.5
= $90
Six 20-dollar bills = 6 x $20
= $120
Five 10-dollar bills = 5 x $10
= $50
Eighteen 1-dollar bills = 18 x $1
= $18
Total deposits = $400 + $90 + $120 + $50 + $18
= $678
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What is an example of a no solution equation?
Answers
The equation 5x + 5 = 5x - 5 has no solution because the left side of the equation (10) cannot equal the right side of the equation (-5).
No solution equation:
5x + 5 = 5x - 5
To solve this equation, we must first isolate the variable. To do this, we can subtract 5x from both sides of the equation.
5x + 5 = 5x - 5
Subtract 5x from both sides:
5 + 5 = - 5
Simplify:
10 = -5
At this point, we can see that this equation has no solution because the left side of the equation (10) cannot equal the right side of the equation (-5).
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Help please!!No links!!
3. Solve the following.
a) This railway car is 320 cm in diameter and 17.2 m long.
Calculate its volume of fuel it can transport in liters. [Hint: 1 m3 = 1,000 L]
Answers
Answer:
138330.608 liters (about 138331)
Step-by-step explanation:
V = πr²h
r = 320 / 2 = 160cm = 1.6m
V = π * 1.6^2 * 17.2 = 138.330608 m³
138.330608m³ * 1000L = 138330.608 liters
can somebody please help me? nobody on here helps anymore ://
Answers
Answer:
Its not like that its just that if you post a question no one knows the answer nobody will answer you and unfortunately the question you posted I don't know how to help else I would have.
Sorry
2. C
3. B
4. D
You need to consider the way these things would change. For example, the weight of a book would stay constant over time while the air temperature would fluctuate throughout a day. Just remember that time is always on the X-axis because it is an independent variable :)
Which graph best represents a function with zeros of -3,0 and 2
Answers
The graph C. represents the polynomial with zeros of -3, 0 and 2.
What are zeros of a polynomial?An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
All the x-values that bring a polynomial, p(x), to zero are referred to as its zeros. They are intriguing to us for a variety of reasons, one of which is that they provide information about the graph's x-intercepts for the polynomial.
Alternately, we might state that the zeros of the polynomial are the x-intercept of its graph. Thus, the needed function is represented by the graph with the coordinates -3, 0, and 2.
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The complete question is as follows:
Select the correct answer.
Which graph best represents a function with zeros of -3, 0, and 2?
If I=65 cm and j=33 cm, what is the length of k?
Answers
Answer:
sales forecast for Daft is 506 units. Digby wants to have an extra 10% of units on hand above and beyond their forecast in case sales are better than expected. (They would risk the possibility of excess inventory carrying charges rather than risk lost profits on a stock out.) Taking current inventory into account, what will Daft's Production After Adjustment have to be in order to have a 10% reserve of units available
I NEED THIS ASAP ILL GIVE 100 POINTS
1. Gas stations A. B. C, and G are located
along a straight lighway.
Station B is between stations: A
and c The distance frim station A to
station C is 22 miles. BC is 5 miles less than twice AB
Station C is between stations B and C. 4 miles from C. Find AC.
Answers
Answer: 3
Step-by-step explanation:You can't start at station 0 or 1, as there is not enough gas to travel to the next station.
Let's start at station 2 and fill up with 4 unit of gas. Your tank = 0 + 4 = 4
Travel to station 0. Your tank = 4 - 3 + 2 = 3
Travel to station 1. Your tank = 3 - 3 + 3 = 3
You cannot travel back to station 2, as it requires 4 unit of gas but you only have 3.
Therefore, you can't travel around the circuit once no matter where you start.
PLEASE HELP I SUCK AT MATH
7. Given the diagram, below which statements are true?
statement 1: Points Z, A, and X are collinear.
statement 2: Points W, A, and Y are noncoplanar.
statement 3: Rays wÀ and AY are on the line wy.
statement 4: AW and AỶ are opposite rays on the line
A. statements 1 and 2
B. statements 1, 3 and 4
C. statements 1, 2, 3 and 4
D. statements 1 and 4
Answers
Answer:
Im pretty sure it's A because Z and AZ are collinear
Answer:
statement 1, 3 and 4
Step-by-step explanation:
Statements 1 and 4 are true because points Z, A, and X lie on the same line . Also, points W, A, and Y are collinear with A in between points W and Y. So, and are opposite rays.
Find the midpoint for (4,3) and (-2,1)
Answers
Answer:
The desired midpoint is (1, 2).
Step-by-step explanation:
The average of the x-coordinates of the two given points is (4 - 2)/2, or 1. The average of the y-coordinates is (3 + 1)/2 = 4/2 = 2.
The desired midpoint is (1, 2).
need help finding area TuT
Answers
Alyssa's den is 8 feet longer than it is wide. If the den's area is 425 square feet, what are the dimensions of the room?
Answers
The dimensions of the room when Alyssa's den is 8 feet longer than it is wide are 15cm as 23cm.
How to illustrate the equation?An equation simply means the statement that shows the relationship between the variables given. It has an equal sign to denote this.
Let the width of the den be x.
The length of the den is x+8.
We can set up the equation x*(x+8)=425 to represent the area of the den.
We can solve this equation by factoring it as x² + 8x =425.
x² + 23x - 15x - 425
x(x + 23) - 15(x + 23)
(x - 15)(x + 23)
Either way, we find that the width of the den is 15 feet and the length is 23 feet.
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what is |-2| = _____
Answers
Answer:
2
Step-by-step explanation:
The bars means absolute value so you would find the distance from zero, which is two. Also, anything with negatives in those bars changes to positive because you are calculating the distance from zero. The positive numbers should always stay the same.
Answer:
2
Step-by-step explanation:
The absolute value is the distance between a number and zero. The distance between
− 2 and 0 is 2
(PLS HELP ASAP WILL DO BRAINLIEST IF RIGHT AND GOOD POINTS)
A wildlife refuge in South America has howler monkeys and spider monkeys. A biologist working there randomly selected eight adults of each type of monkey, weighed them, and recorded their weights in pounds.
howler monkey: {15, 16, 17, 17, 17, 17, 18, 19}
spider monkey: {12, 13, 13, 14, 14, 14, 16, 16}
(a) Calculate the mean and MAD for each type of monkey.
(b) Calculate the means-to-MAD ratio for the two types of monkeys.
(c) What inference can be made about the weight of both types of monkeys? Explain.
when answering please seperate the answers with either 1, 2, 3 or a, b, c! thank you
Answers
Answer:The mean for the howler monkeys is 17 and the MAD is 0.8571.
The mean for the spider monkeys is 14 and the MAD is 1.1429.
The means-to-MAD ratio is 2.6249.
Step-by-step explanation:
To find the mean of the howler monkeys, add all of the data values and divide by 7:
(15+16+17+17+17+17+18+19)/7 = 119/7 = 17
To find the MAD, subtract each data point from the mean; take the absolute deviation; then average these together:
(|15-17|+|16-17|+|17-17|+|17-17|+|17-17|+|17-17|+|18-17|+|19-17|)/7
=(2+1+0+0+0+0+1+2)/7=6/7 = 0.8571
Repeating these processes for the spider monkeys:
Mean:(12+13+13+14+14+14+16+16)/7 = 98/7 = 14
MAD:
(|12-14|+|13-14|+|13-14|+|14-14|+|14-14|+|14-14|+|16-14|+|16-14|)/7
=(2+1+1+0+0+0+2+2)/7 = 8/7 = 1.1429
GEOMETRY HELP PLEASE!7
Answers
Answer:
<CPE= 137
Step-by-step explanation:
In order to find the measure of (<CPE), one must add the measure of <(CPD) and (<DPE). From the given picture, one can infer that line (CA) is a diameter. This means that the sum of all angles on either side of the line is (180). Therefore, to find the measure of (<DPE) add up all of the angle measures on one side of the line, and set it equal to (180). Solve and then add the result to the value of (<CPD) to find the measure of (<CPE).
(<CPD) + (<DPE) + (<EPA) = 180
Substitute,
88 + (<DPE) + 43 = 180
Simplify,
131 + (<DPE) = 180
Inverse operations,
<DPE = 49
Now add the value of (<DPE) to (<CPD),
(<CPD) + (<DPE)
= 88 + 49
= 137
Please help, I’ll give brainliest UwU
Answers
Answer:
your answer is B uwu have good day
Step-by-step explanation:
help me cause I’m failing math
Answers
Answer:
9
Step-by-step explanation:
[tex] \frac{ - 3(16 - 35 + 4)}{5} \\ \\ = \frac{ - 3(20 - 35 )}{5} \\ \\ = \frac{ - 3( - 15 )}{5} \\ \\ = \frac{45}{5} \\ \\ = 9[/tex]
Answer:
[tex]9[/tex]Step-by-step explanation:
[tex] \frac{ - 3(16 - 35 + 4)}{5} [/tex][tex] \frac{−3(20-35)}{5} [/tex][tex] \frac{−3 (−15)}{5} [/tex][tex] \frac{45}{5} [/tex][tex]9[/tex]Hope it is helpful....