A. David notices that the shape of the Ligersville toxic dumpsite is somewhat like a triangle. He claims that he can approximate the perimeter of the dumpsite without doing any extra measurements. What assumption about side AB of the dumpsite would David need to make in order to justify his claim?
B. Based on the assumption in part A, determine the approximate length of side AB of the dumpsite. Explain your reasoning in at least two sentences.
C. Determine the approximate perimeter of the Ligersville toxic dumpsite. Explain your reasoning.
Answers
Answer:
A) AB is approximately straight line
B) 40 yards
C) 96 years
Step-by-step explanation:
A) For the toxic dump site to be traingular, AB must be a straight line to form hypotneuse of the traingle and that the traingle is right angle triangle
B) assuming a right angle triangle, using pythagoras theorem
H²=P²+B²
H²= 24²+ 32²
H= 40 yards
C) Parameter= 24+32+40=96 yards
Answer:
A. Side AB is approximately straight and forms the hypotenuse side of the right triangle
B. 40 yards
C. 96 yards
Step-by-step explanation:
A. The assumption about the curved side AB that David would need to make in order to justify his claim is that the side AB is straight and is the hypotenuse side of the right triangle.
B. The length of AB is thus;
√(24² + 32²) = 40 yard
C. The approximate perimeter is therefore;
24 + 32 + 40 = 96 yards
Related Questions
What is the factored form of y^2 + xy − 6x^2?
Answers
Answer:
-((2x - y) (3x + y))
Step-by-step explanation:
What is the slope of the
points (4, -2) and (-4, -4)?
Answers
Answer:
= 1/4
Step-by-step explanation:
We can find the slope given two points by using the following formula
m = (y2-y1)/(x2-x1)
= (-4 - -2)/(-4 -4)
= (-4+2)/(-4-4)
= -2/-8
= 1/4
Answer:
I think the slope is 1/4
Step-by-step explanation:
if you use the slope equation y1-y2/x1-x2, then you get (-2 - -4)/(4 - -4), which is 2/8, which is 1/4
Phillip watched a beach volleyball game from 1 P.M. to 1:20P.M. How many degrees did the minute hand turn?
Answers
Answer:
The minute hand covered 120 degrees
Step-by-step explanation:
Minute hand completes 1 round in 60 minutes
1 round =[tex]360^{\circ}[/tex]
So, The minute hand covered degrees in 60 minutes = [tex]360^{\circ}[/tex]
The minute hand covered degrees in 1 minute [tex]= \frac{360^{\circ}}{60^{\circ}}[/tex]
Phillip watched a beach volleyball game from 1 P.M. to 1:20P.M.
So, He watched it for 20 minutes
So,The minute hand covered degrees in 20 minutes =[tex]\frac{360^{\circ}}{60^{\circ}} \times 20 =120^{\circ}[/tex]
Hence The minute hand covered 120 degrees
Please help im gonna scream im so confuesed :(
Answers
Answer:
[tex]14^{-17}[/tex]
Step-by-step explanation
using the rules of exponents, it would be [tex]14^{10}[/tex]÷[tex]14^{27}[/tex] so then take away 27 from 10 and get -17 meaning that the answer would be A or [tex]14^{-17}[/tex]
Answer: A
Step-by-step explanation:
14^10 is already set.
(14^9)^3 is not set you need to multiply the exponents
14^18
14^10/14^27 = 14
14^-27 or 1/14^27
The difference between two numbers is 12. Four times the larger number decreased by 25 equals 48 increased by 3 times the smaller number. Find the numbers.
Answers
The larger number is 37 and the smaller number is 25.
Explanation:To solve this problem, let's assume that the larger number is x and the smaller number is y.
According to the problem, x - y = 12 and 4x - 25 = 48 + 3y. We can solve this system of equations by substituting the value of x from the first equation into the second equation.
Substituting x = y + 12 into the second equation, we get 4(y + 12) - 25 = 48 + 3y. Simplifying this equation, we have 4y + 48 - 25 = 48 + 3y. By combining like terms, we get 4y + 23 = 48 + 3y. Subtracting 3y from both sides, we obtain y + 23 = 48. Finally, subtracting 23 from both sides, we find y = 25. Plugging this value into the first equation, we can solve for x: x - 25 = 12. Adding 25 to both sides, we get x = 37.Therefore, the larger number is 37 and the smaller number is 25.
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Check all of the boxes that show the quotient and
remainder of the division.
66.32
66.8
62.32
62 8/25
66 8/25
DONE
Answers
Answer:
66.32
66 8/25
Step-by-step explanation:
The quotient and remainder of the divisions are as follows: 66.32 divided by 66 has a quotient of 1 and a remainder of 0.32. 66.8 divided by 66 has a quotient of 1 and a remainder of 0.8. 62.32 divided by 66 has a quotient of 0 and a remainder of 62.32.
Explanation:When dividing numbers, the quotient is the result of the division and the remainder is what is left over. Let's check the quotient and remainder for each of the given numbers:
66.32 divided by 66: Quotient = 1, Remainder = 0.3266.8 divided by 66: Quotient = 1, Remainder = 0.862.32 divided by 66: Quotient = 0, Remainder = 62.3262 8/25 divided by 66: Quotient = 0, Remainder = 62 8/2566 8/25 divided by 66: Quotient = 1, Remainder = 8/25Learn more about Division of Numbers here:https://brainly.com/question/2273245
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The formula a=119e^0.027t models the population of a particular city, in thousands, t years after 1998, when will the population of the city reach 178 thousand
Answers
Answer:
By year 2092
Step-by-step explanation:
In this question, we are asked to calculate the year at which the population of the city will reach 178,000
The equation that models the population of the city is given as;
A = 119e^0.027t
Here, we plug A to be 178,000
178000 = 119e^0.027t
we take the natural logarithm of both sides)
ln 178,000 = ln (119e^0.027t)
12.09 = 0.027t ln 119
12.09/ln 119 = 0.027t
2.53 = 0.027t
t = 2.53/0.027
t = 93.7 which is approximately 94 years
Since t is number of years after 1998, the exact time the population will reach 178,000 will be 1998 + 94 years = 2,092
Answer:
The population of the city will reach 178 thousand almost 15 years after 1998, that is, in the last months of 2012.
Step-by-step explanation:
The equation to be solved is:
[tex]178 = 119\cdot e^{0.027\cdot t}[/tex]
Now, the variable is cleared with the help of algebraic handling:
[tex]\frac{178}{119} = e^{0.027\cdot t}[/tex]
[tex]\ln \frac{178}{119} = 0.027\cdot t[/tex]
[tex]t = 37.037\cdot \ln \frac{178}{119}[/tex]
[tex]t \approx 14.913\,yr[/tex]
The population of the city will reach 178 thousand almost 15 years after 1998, that is, in the last months of 2012.
Easy question, Easy Points
Topic Volume
Focus on question 15
Answers
Answer:
738π cm^3
1458π cm^3
Step-by-step explanation:
The volume of a cylinder is V = πr^2 h, where r=radius and h=height.
a) V = πr^2 h
= π6^2 20.5 = 36*20.5π = 738π cm^3
b) V = πr^2 h
For this one, remember that diameter is half of radius. d = 18, r = 9.
V = π9^2 18 = 81*18π = 1458π cm^3
Answer:
738π cm^3
1458π cm^3
Step-by-step explanation:
The weights of boxes of a certain brand of pasta follow an
approximately normal distribution with a mean of 16 ounces and a standard
deviation of 0.05 ounces.
What percentage of boxes have weights that are more than 1 standard
deviation above the mean? (Use the Empirical Rule 68, 95, 99.7)
a) 15%
b) 14%
c) 20%
d) 16%
Answers
Answer:
d) 16%
Step-by-step explanation:
The empirical rule states that for a normal distribution population with a mean (μ) and standard deviation (σ), the following conditions occur:
68% falls within one standard deviation μ ± σ95% falls within two standard deviation μ ± 2σ99.7% falls within three standard deviation μ ± 3σGiven μ = 16 ounce and σ = 0.05 ounce.
68% falls within one standard deviation = μ ± σ = 16 ± 0.05 = (15.95, 16.05)
the number that falls outside one standard deviation = 100% - 68% = 32%
Therefore percentage of boxes have weights that are more than 1 standard deviation above the mean = 32% / 2 = 16%
Approximately 32% of boxes have weights that are more than 1 standard deviation above the mean.
Explanation:To find the percentage of boxes that have weights more than 1 standard deviation above the mean, we can use the Empirical Rule. According to the Empirical Rule, approximately 68% of the data falls within 1 standard deviation of the mean, 95% falls within 2 standard deviations, and 99.7% falls within 3 standard deviations.
Since we want to find the percentage of boxes that have weights more than 1 standard deviation above the mean, we can subtract 68% from 100% to get 32%. So, the answer is 32%.
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How many solutions does the system have?2x+3y=-6 6x-4y=-12
Answers
Answer:
One solution, which is below
Step-by-step explanation:
2x+3y=-6
6x-4y=-12
Multiply the top equation by 3 to get 6x+9y=-18.
Subtract second equation from first:
13y=-6
y=-6/13
x=-30/13
There is only one solution to this system. Hope this helps!
Two angles form a linear pair. One angle measures 8 less than three times the other. Find the measures of the angles.
Answers
Answer:
47⁰, 133⁰
Step-by-step explanation:
Angles : x , 3x - 8
Sum = 180
x + 3x - 8 = 180
4x = 188
x = 47
Angles are 47 , 133
Ben collected data from a group of 12 people. He measured each persons resting heart rate and recorded the average number of hours each person exercised per week. He created a scatter plot to show the data he collected. Based on the scatter plot, what is the best prediction of the resting heart rate, in beats per minute, of a person who exercises an average of 8 hours each week?
Answers
To predict the resting heart rate of a person who exercises 8 hours per week, you can find the corresponding point on the scatter plot that represents 8 hours of exercise and read off the corresponding resting heart rate value.
Explanation:A scatter plot is used to show the relationship between two sets of data. In this case, Ben collected data on the resting heart rate and average hours of exercise per week for 12 people. Based on the scatter plot, we can make a prediction of the resting heart rate for a person who exercises an average of 8 hours per week. To do this, we can find the point on the scatter plot that corresponds to an average of 8 hours of exercise per week and then determine the corresponding resting heart rate.
Let's find the point on the scatter plot that represents an average of 8 hours of exercise per week.
Find the x-coordinate of the point on the scatter plot that corresponds to 8 hours of exercise per week (horizontal axis).From the x-coordinate, find the corresponding y-coordinate (vertical axis), which represents the resting heart rate.Once you have the corresponding point, you can read off the resting heart rate value in beats per minute.
Karlen started painting the walls at 10:45 am, and he said that he could complete the job at 5:25 pm. His father said that five eighths of that time was enough to paint the walls. However, when Karlen finished the job, they noticed that it actually took him 80% of an hour longer than the time predicted by the father. How much longer did Karlen predict it would take than the time it actually took him to complete the job (what part of an hour)? Please help as soon as possible
Answers
Answer:
karlen predicted it will take 1.7 hours longer than he actually did
Step-by-step explanation:
If Karlen started painting the walls at 10:45 am, and he said that he could complete the job at 5:25 pm.
Which means he thought he would spend 6 hrs 40 minutes or 6⅔ hours or 20/3
Now, his father said ⅝ of that time was going to be enough to paint the whole wall.
Thus; estimated time by father to paint whole wall = ⅝ x 20/3 = 25/6 hours.
Now, it says karlen took 80% of an hour longer than the time predicted by his father to finish the painting.
Thus, karlen actually spent;
25/6 + 80/100 hours = 25/6 + 4/5 = 149/30 hours
Thus, since karen predicted he was going to spend 20/3 hours, the difference is;
20/3 - 149/30 = 1.7 hours
So karlen predicted it will take 1.7 hours longer than he actually did
Answer:
1.7 hours
Step-by-step explanation:
It has been decided that 100 people need to be surveyed to decide the publics opinion on a school building project. A student suggests that they survey the first 100 people who enter the school. Do you think that this proposed way of sampling is an unbiased way to perform the survey?
Answers
Answer:
The proposed way of sampling is a biased way to perform the survey.
Step-by-step explanation:
Convenience sampling is a kind of non-probability sampling method that comprises of the sample being taken from that portion of the population that is near to hand. In this type of sampling method, all items doesn’t have an equivalent chance of being selected, which doesn’t comprises of random collection of items.
Convenience sampling is where we take in items which are easy to reach.
Convenience sampling consists of selection bias, i.e.e the bias involved in the sample due to inappropriate selection procedures.
For example, randomly selecting 4 people sitting near him to guesstimate the mean age of the class is a convenience sampling example. or gathering information on customer satisfaction by interviewing 6 randomly selected customers from a local store is an illustration of convenience sampling.
In this case, the sample suggested by the students consists of surveying the first 100 people who enter the school, about the public opinion on a school building project.
This is an example of convenience sample.
So, there is a selection bias present in the sample.
Thus, the proposed way of sampling is a biased way to perform the survey.
What is the output when the input is 4 for the algebraic rule: 5x-6
Answers
Answer:
The output is 14
Step-by-step explanation:
y = 5x-6
Let x = 4
y = 5(4) -6
y = 20-6
y = 14
Help Please geometry Question
Answers
The angle is double the little angle
Each week, Kathy receives a batch of phones that need repairs. The number of phones that she has left to fix at the end of each day can be estimated with the equation P = 108 - 23d, where P is the number of phones left and d is the number of days she has worked that week. What is the meaning of the value 108 in this equation?
A.) Kathy starts each week with 108 phones to fix.
B.) Kathy repairs phones at a rate of 108 per hour.
C.) Kathy repairs phones at a rate of 108 per day.
Answers
A.) Kathy starts each week with 108 phones to fix.
Can you please find the quotient of 9/18÷ 3/6. I am pretty sure that the answer is 1
Answers
Answer:
It is 1
Step-by-step explanation:
Answer:
lol yeah its 1, you're right.
Step-by-step explanation:
imension
What is the area of the rectangle?
09
15 m2
7 m
17
19 m2
2 m
Intro
Done
Answers
Answer:
sorry can we have more info?
Step-by-step explanation:
Answer:
15m2
Step-by-step explanation:
hope this help.
What is the approximate distance between points P and Q? Round your answer to the nearest hundredth.
A.
4 units
B.
4.12 units
C.
4.89 units
D.
5.1 units
Answers
Answer:
d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A hockey coach recorded the number of shots taken by the home team and the number taken by the visiting team in 20 games. He displayed the results in the box plots below.
A box plot titled Number of Shots Taken by home team players. The number line goes from 10 to 32. The whiskers range from 16 to 32, and the box ranges from 20 to 23. A line divides the box at 22.
Number of Shots Taken by Home Team Players
A box plot titled Number of Shots Taken by visiting team players. The number line goes from 10 to 32. The whiskers range from 14 to 32, and the box ranges from 16 to 24. A line divides the box at 18.
Number of Shots Taken by Visiting Team Players
Which describes an inference that the coach might make after comparing the medians of the two data sets?
The home team took more shots than the visiting team.
The visiting team took more shots than the home team.
The home team had more variability in the number of shots taken.
The visiting team had more variability in the number of shots taken.
Answers
Answer:
the answer is B
Step-by-step explanation:
did the question on test
The visiting team took fewer shots than the home team, as inferred by comparing the medians represented by the line in each box plot.
Explanation:When comparing the medians of the two data sets from the box plots provided by a hockey coach, an inference that can be made is that the visiting team took more shots than the home team. This is determined by comparing the median number of shots, which is indicated by the line dividing the box within each box plot. For the home team, the median is at 22 shots, while for the visiting team, the median is at 18 shots. Since the median represents the middle value of the data set, having a lower median suggests that the visiting team took fewer shots on average than the home team.
A city counsel is trying to decide to levy an additional gas tax to help with city improvements. A random sample of
400 voters in the city are asked if they favor an additional 4% gasoline sales tax to provide badly needed revenues for
street repairs. The counsel has decided it will implement the tax if at least 60% of the voters favor the tax. The
survey finds 220 out of the 400 favor the tax. Should the counsel proceed?
Answers
Answer:
No
Step-by-step explanation:
220/400=?/?
divide 220 and 400 by 4
220/400=55/100
55<60
hope this helps ;)
If a cone with a diameter of 10 m has a surface area of 190.6m2, find its slant height. Round to the nearest tenth.
Slant Height = m
Answers
Answer: The slant height of the cone is 65.6 m
Step-by-step explanation:
Given: The diameter of a cone = 10 m
Surface area of cone = 190.6 m²
To find: Slant height
Diameter of cone = 10 m
Therefore Radius of cone = [tex]\dfrac{\text {Diameter }}{2} = \dfrac{10}{2} =5m[/tex]
As we know that surface area of a cone is given by
[tex]S.A. = \pi r(l+r)[/tex]
Where S.A. is surface area , r is the radius of cone and l is the slant height of the cone.
Let Slant height = l
So we have
[tex]190.6 = \dfrac{22}{7} \times 5 ( 5+l)\\\\\Rightarrow 5+l= \dfrac{190.6 \times 7}{22}\\\\\Rightarrow l= \dfrac{1334.2}{22}+5\approx 60.64+5 = 65.64\approx65.6[/tex]
Hence the slant height of the cone is 65.6 m
Did it rain spaghetti more or less than ½ of the month? Explain how you know.
pls explain
Answers
Answer:
More and Brainliest PLS
Step-by-step explanation:
there is 20 spaghetti days
half of 30 is 15
20 is greater than 15 so it is more than half of the month
What is the perpendicular height of an oblique prism with a volume of 144 cubic units and an area of 24 square units
Answers
Answer:
Height of the oblique prism is 18 units.
Step-by-step explanation:
Volume of an oblique prism = [tex]\frac{1}{3}(\text{Area of the base})(\text{Perpendicular height})[/tex]
Area of the base of this prism = 24 square units
And volume of the prism = 144 cubic units
By substituting these values in the formula,
144 = [tex]\frac{1}{3}(24)(h)[/tex]
h = [tex]\frac{144\times 3}{24}[/tex]
h = [tex]\frac{432}{24}[/tex]
h = 18 units
Therefore, height of the oblique prism is 18 units.
what is 1.83333 as a fraction
Answers
Answer:Para pasar el número decimal 1.83333 a fracción, siga los siguientes pasos:
Paso 1: Escriba el número como una fracción de 1 (uno):
1,83333 = 1,83333/1
Paso 2: Multiplica simultáneamente el numerador y el denominador por 10 tantas veces cuánto los dígitos después de la coma (separación entre la parte entera y la parte fraccionaria del número):
Como tenemos 5 números después de la coma, multiplique el numerador y el denominador por 100000. Así,
1,83333/1 = (1,83333 x 100000)/(1 x 100000) = 183333/100000.
Tenga en cuenta que multiplicar por 10 es el mismo que desplazar la coma a la derecha una posicion.
Una vez que esta fracción es irreductible, es decir, está en forma reducida, ya no podemos simplificarla. La respuesta es la fracción anterior.
Como el numerador es mayor que el denominador, tenemos una fracción IMPRORIA, entonces podemos expresarla como un NÚMERO separación, así 183333/100000 también es igual a 1 83333/100000 cuando se representa por un número mixto.
Step-by-step explanation:
Two triangular pyramids are similar the volume of the large pyramids is 729cm and the volume of the smaller pyramids is 64 cm . If the perimeter of the base of the similar pyramids is 8 cm what is the perimeter of the base of the larger pyramids
Answers
Answer:
18 cm for larger base
Step-by-step explanation:
For similar figures, there is a formula regarding volume, area, and length
Large: small = y: x for length
large: small = (y^3) / (x^3) for volume
729 cm cube/ 64 cm cube = large : small
9: 4 = large: small by length
large/ 8cm = 9/ 4
large = 8*(9/4) = 2*9 = 18 cm
how many real roots does the quadratic function f(x)= -5x^2 have?
a. 0
b. 1
c. 2
d. infinitely many
Answers
A cable company wants to find out the average number of hours its customers spend watching cable television. Which group would best represent a sample of the population?
the first 100 people who pass by the company’s office door one week
100 of the company's customers who canceled their subscriptions last year
100 people who are customers of other cable companies
100 of the company's customers chosen from the monthly billing list
Answers
Answer:
D. 100 of the company's customers chosen from the monthly billing list
Step-by-step explanation:
Solve: g^2x+1=g^3x-2
x=?
Answers
Answer:
the answer you will be looking for is g^2x - g^3x = -3
Step-by-step explanation:
as much as I would like to, I'm really not that great at explaining things
Answer:
Solve: 9^2x+1 = 9^3x-2
= 3
Step-by-step explanation: