through a point on the hypotenuse of a right triangle, lines are drawn parallel to the legs of the triangle so that the triangle is divided into a square and two smaller right triangles. the area of one of the two small right triangles is $m$ times the area of the square. find the ratio of the area of the square to the area of the other small right triangle in terms of $m.$
Option d is Correct. The other ratios of right triangle's area is 1/4 of the square's size in terms of area.
Two right triangles are similar, as demonstrated in mathematics. It follows that the triangles' side ratios are equal. The triangle's height with area m is 2m in the figure because A = 1/2bh = h/2. The base of the other triangle is x, therefore 2m/1 = 1/x. Please see the file that is provided for the figure, which is X = 1/ 2m.
Area of triangle = 1/2 * base * height
The area of that triangle, which is determined by the relationship between its area and the area of the square, is
= 1/2 × 1 × 1/2m = 1/4m
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Correct Question:
Through a point on the hypotenuse of a right triangle, lines are drawn parallel to the legs of the triangle so that the triangle is divided into a square and two smaller right triangles. The area of one of the two small right triangles is m times the area of the square. The ratio of the area of the other small right triangle to the area of the square is:___________.
(A) 1/(2m + 1)
(B) m
(C) 1 - m
(D) 1/(4m)
(E) 1/(8m^2)
An empty shipping box weighs 250 grams. The box is then filled with T-shirts. Each T-shirt weighs 132.5 grams. The equation `W=250+132.3T` represents the relationship between the quantities in this situation, where W is the weight, in grams, of the filled box and T the number of shirts in the box. Consider `W=1045` and `T=6`. Is this a solution to the equation? If it is a solution, what does the solution mean in context?
Answer:
1. W = 1045, T = 6 It is a solution.
2. The solution indicates that the weight of the box will increase to 1045 g if 6 shirts are placed in the box.
Step-by-step explanation:
From the question given, the following data were obtained:
W = 250 + 132.5T
W = 1045
T = 6
Where:
W is the weight of the box when filled with shirts.
T is the number of shirts in the box.
1. Determination of where W = 1045 and T = 6 are solutions to the expression.
To justify if W = 1045 and T = 6 are solutions, we shall simply solve for W when T = 6. This is illustrated below:
W = 250 + 132.5T
T = 6
W = 250 + 132.5(6)
W = 250 + 795
W = 1045
From the above calculation, we can see that W = 1045 when T = 6.
Therefore, W = 1045 and T = 6 are solutions to the equation.
2. Meaning of the solution to the equation.
From the question given, we were told that the empty box weighs 250 g.
From the calculations made above we can see that weight of the box increases to 1045 g when 6 shirts were placed into the box. Therefore, the solution indicates that the weight of the box will increase to 1045 g if 6 shirts are placed in the box.
1.5 Cheaters, study components: Researchers studying the relationship between honesty, age, and self-control conducted an experiment on 160 children between the ages of 5 and 15. Participants reported their age, sex, and whether they were an only child or not. The researchers asked each child to toss a fair coin in private and to record the outcome (white or black) on a paper sheet, and said they would only reward children who report white. Half the students were explicitly told not to cheat and the others were not given any explicit instructions. In the "no instruction" group the probability of cheating was found to be uniform across groups based on a child's characteristics. In the group that was explicitly told to not cheat, girls were less likely to cheat, and while rate of cheating didn't vary by age for boys, it decreased with age for girls (Ritz et al. 2000). Identify the following
a) What are the cases?
_____all children ages 5 to 15
_____the 160 children between the ages of 5 to 15
_____the coin flips
_____boys or girls
b) What are the variables and their types?
_____The variables and types are age (discrete), sex (regular categorical), whether they were an only child or not (regular categorical)
_____The variables and types are age (discrete numerical), sex (ordinal), whether they were an only child or not (regular categorical), the result of the coin flip (regular categorical), whether the children were given instructions or not (regular categorical)
_____The variables and types are age (discrete), sex (regular categorical), whether they were an only child or not (regular categorical), the result of the coin flip (regular categorical), whether the children were given instructions or not (regular categorical), and whether the child cheated (regular categorical)
_____The variables and types are age (discrete), sex (ordinal), whether they were an only child or not (regular categorical), the result of the coin flip (regular categorical), whether the children were given instructions or not (regular categorical), and whether the child cheated (regular categorical)
c) What is the main research question?
_____Do girls cheat more or less often than boys?
_____What is the effect of age, sex, only child status, and whether or not children were given instructions on the rate of cheating in a game?
_____Do children follow directions?
160 children between the ages of 5 and 15 comprise the cases.
Age and sex child cheated are the variables and types.
What impact do age, sex, being an only child, and whether or not kids received instructions have on the frequency of cheating in games?
a) What are the cases?
The cases are: the 160 children between the ages of 5 to 15.
b) What are the variables and their types?
The variables and types are: age (discrete numerical), sex (regular categorical), whether they were an only child or not (regular categorical), the result of the coin flip (regular categorical), whether the children were given instructions or not (regular categorical), and whether the child cheated (regular categorical).
c) What is the main research question?
The main research question is: What is the effect of age, sex, only child status, and whether or not children were given instructions on the rate of cheating in a game?
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Evaluate each expression for the given value.
a. a2 when a= 3/4
b. b3 when b = 1.1
Answer:
a. 9/16 or 0.5625
b. 1.331 or 1331/1000
Step-by-step explanation:
I’m assuming you meant a^2 and b^3
Brian is building a sandbox that is 6 feet wide, 3 feet long, and 15 feet high. How many cubic feet of sand with the box hold?
Answer:
270 cubic feet
Step-by-step explanation:
3 * 6 * 15 = 270 cubic feet
apply green's theorem to evaluate the integral. c (3yxdx 2xdy), c: the boundary of 0
The integral evaluated using Green's theorem is 0.
What is the result of evaluating the given integral using Green's theorem?Green's theorem relates a line integral around a closed curve to a double integral over the region enclosed by the curve.
In this case, we are asked to evaluate the integral \(\int_c (3yx dx + 2x dy),\)where c represents the boundary of a region denoted as 0.
Using Green's theorem, we can rewrite the given integral as the double integral of the curl of the vector field F = (3y, 2x) over the region 0.
The curl of F is obtained by taking the partial derivative of its second component with respect to x and subtracting the partial derivative of its first component with respect to y.
Since the partial derivative of 2x with respect to x is 2 and the partial derivative of 3y with respect to y is 3, the curl of F is equal to 2 - 3 = -1.
Therefore, according to Green's theorem, the given line integral is equal to the double integral of -1 over the region 0.
The value of a double integral of a constant over a region is simply the constant multiplied by the area of that region.
Since the constant in this case is -1 and the region 0 has an area of zero, the result of the integral is 0.
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Find the value of f(3) for the function
f(x) = - 7 (x + 5)
f(3)=
Please complete the table!
Answer:
im sorry theirs not eghou imformation
Step-by-step explanation:
Trigonometry Practice
Answer:
x = 16.20
Step-by-step explanation:
tan48 = 18/x
xtan48 = 18
x = 18/tan48
x = 16.20
HELP ME 20 POINTS?!?!?!!?!?
Answer: 4th answer because neither of the other one's work correctly.
Emma is taking a trip to the beach. So far, she has driven 58 miles in 1.25 hours.
Determine Emma's constant speed and simplify it to a unit rate.
Then write a linear equation in two variables that represents Emma's distance, d, she travels in any given time t.
Answer:
46.4miles/hour
d=46.4t
Step-by-step explanation:
Let's say d=at, where d = distance, a = the unit rate, and t = any given time.
We're given that Emma takes 1.25 hours to drive 58 miles. Plugging that into our formula of d=at, we get:
58 = 1.25a.
So, a = 46.4.
The formula now becomes d=46.4t.
ANY MATH EXPERTS PLEASE HELP ASAP I WILL GIVE BRAINLIEST PLEASE HELP
Step-by-step explanation:
i answered this one already as well.
Finance. A person wishes to have $24.400 cash for a new car 7 years from now How much should be placed in ian account now, if the account pays 4.98 annial interest rate, compounded weekly? (Round to the nearest dollar)
A person needs to place approximately $17,000 in an account now, if the account pays 4.98% annual interest rate, compounded weekly.
Main part: To find out how much a person should put into an account now in order to have $24,400 for a new car in seven years, we will use the present value formula.
Given data: P = $24,400
n = 7 years
r = 4.98%, compounded weekly
We will use the formula, P = FV / (1 + r/n)^(n*t)
where, P = Present Value
FV = Future Value
r = Interest rate
n = number of times compounded per year
t= time in years
To find out P, we will substitute the given data into the formula.
P = 24,400 / (1 + 0.0498 / 52)^(52*7)
P ≈ $17,000
Conclusion: Therefore, a person needs to place approximately $17,000 in an account now, if the account pays 4.98% annual interest rate, compounded weekly.
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Solve the system by substitution. Show all of your work.
3x – 2y = -2
3x + y = 10
Answer:
x = 2 ; y= 4
Step-by-step explanation:
3x -2y = -2
y = -3x+10
3x + 6x -20 = -2
9x = 18
x = 2
y = -6 + 10
y = 4
Answer:
x = 2
y = 4
Steps:
given:
3x – 2y = -2
3x + y = 10
2y = 3x+2
y = (3x+2)/2
3x + y = 10
3x + (3x+2)/2 = 10
(6x+3x+2)/2 = 10
(9x + 2)/2 = 10
9x + 2 = 20
9x = 18
x = 2
y = 4
please help!!!!!(i don't know what else to write so)
Answer:
A
Step-by-step explanation:
sorry if its wrong but i think its right
Please Help!!
Kim's flower was 2 inches high when she got it. It grew 0.75 inches per month until it was 12 months old. She keeps track of her flower's growth on a coordinate grid by graphing its height every two months and connecting the points to show the growth between months.
Which statements are true? (Choose 3)
Responses
The function is increasing over time.
The function is discrete.
The functions are continuous.
The function decreases over time.
The function is Linear.
The function is Nonlinear.
The statements that are true of Kim's flower are:
A) The function is increasing over time. The flower's height is growing by 0.75 inches every month.
B)The function is discrete. According to the information, Kim tracks the growth of the flower every two months, showing that the data points are discrete.
F) The function is nonlinear. The function is nonlinear because the growth rate is not constant. The height increases by an amount of 0.75 inches per month, which indicates a nonlinear relationship between time and height.
What is a function?A function is like a rule that connects two groups of numbers.
In other words, if you give it a number, it will return a special number.
Example: f(x) = 2x, where the input value x is multiplied by 2 to produce the output value.
For instance, if we input x = 3, the function would get f(3) = 2 * 3 = 6.
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can someone help me with this?
Answer:
law of reasoning
Step-by-step explanation:
I would greatly appreciate if you can give the brainliest answer crown!
It is assumed that approximately 15% of adults in the U.S. are left-handed. Consider the probability that among 100 adults selected in the U.S., there are at least 30 who are left-handed. Given that the adults surveyed were selected without replacement, can the probability be found by using the binomial probability formula with x counting the number who are left-handed? Who or why not?A. no; since np<5, the normal distribution should not be usedB. As the probability of success increases, the probability distribution for a binomial variable becomes bell shaped.C. Yes, because the 100 adults represent less than 5% of the U.S. adult population, the trials can be treated as independent.D. No, because the probability of smoking is different for people who earn over $75,000 per year, the events are not independent.
The correct answer is A. no; since np<5, the normal distribution should not be used. This is because np<5, which violates the condition for using the normal distribution approximation to the binomial distribution. In this case, np=15 which is less than 5, and therefore, the binomial distribution should be used. If np is greater than or equal to 5, a normal approximation to the binomial distribution can be used.
The binomial distribution can be used to model the probability of a certain number of successes in a fixed number of independent trials, where the probability of success in each trial is the same. However, if the number of trials is large and the probability of success is small, the binomial distribution can be approximated by a normal distribution.
In this case, we have
n = 100 trials and p = 0.15
probability of success in each trial.
Therefore, np = 15, which is less than 5. According to the rule of thumb, if np < 5 or n(1-p) < 5, the normal distribution approximation is not valid, and the binomial distribution should be used.
Since the probability of success is small (0.15), and the number of trials is relatively large (100), we could use a normal approximation to the binomial distribution. However, since np < 5, we cannot use the binomial probability formula directly. Instead, we would need to use a continuity correction and the standard normal distribution to estimate the probability. Therefore, option A is the correct answer.
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Help ASAP pls now and thank u
Answer:
A)25
Step-by-step explanation:
5 x 5 = 25
Answer:
B.......
because to work out the area of a sphere we use
4 pie (r)²
Paula's Pizza Parlor uses the following ingredients to make pizza
Number of Pizzas
2
5
Sauce
18
Cheese
12
At this Rate how many sauce and cheese will paula use to make 5 pizzas?
To make 5 pizzas, Paula will use 45 sauce and 30 cheese.
What are multiplication and division?Multiplication is used to find the product of two or more numbers. Multiplication is also known as repeated addition.
The division is the opposite operation of multiplication. It is how one tries to determine how many times a number is contained into another.
Given,
Paula uses 18 sauce and 12 cheese to make two pizzas.
Ingredients needed to make one pizza = 18/2 sauce and 12/2 cheese
= 9 sauce and 6 cheese
Ingredients needed to make 5 pizzas = 9 × 5 sauce and 6× 5 cheese
= 45 sauce and 30 cheese
Hence, 45 sauce and 30 cheese is needed to make 5 pizzas.
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2.A photographer needs a frame for an 11 x 14 Inch picture, such that the total area is 180 in2. Calculate the width of the frame. Which of the following quadratic equations would be used when...
Answer:
it’s not a it’s D
Step-by-step explanation:
i took the quiz and got it correct
The ratio of men to women working for a company is 5 to 4. If there are 234 employees total, how many women work for the company?
Answer:
104
Step-by-step explanation:
5 to 4 equals 9
divide 234 by 9 and you get 26
26 times 5 is 130
and 26 times 4 is 104
so 130 to 104 adding up gives you 234
and the number of women employees would be 104
on edguinuty √−100 = + i
Answer:
√−100 = 10i
Step-by-step explanation:
The square root of negative 100 can be dissected step by step. The square root of 100 is 10 however there is no such thing as square root of something negative, thus the imaginary notion is applied. square root of -1 is equal to i .Hence the answer to this problem is 10 i.
please help me out asap
(geometry)
Answer:
x = 30
Step-by-step explanation:
If A and B were parallel, then 2x + 50 and 5x - 80 are same- side interior angles and sum to 180° , then
2x + 50 + 5x - 80 = 180
7x - 30 = 180 ( add 30 to both sides )
7x = 210 ( divide both sides by 7 )
x = 30
Please help me with the following!
Answer:
D. 2040
Step-by-step explanation:
population increases by about 1 million every 10 years
in 2010, it's about 8
11 - 8 = 3
2010 + 30 = 2040
which statement about sample size in qualitative research is true? sampling for qualitative studies should stop before information becomes redundant new researchers who have a fresh eye on phenomena can rely on smaller samples than more experienced researchers if the quality of data being collected is exceptionally good, a smaller sample may suffice than when data are of mediocre quality typical case sampling requires more participants than maximum variation sampling
In contrast to quantitative research, sampling may not always produce the same results in qualitative data analysis. The analysis will depend on the more complicated themes.
The researcher must seek for saturation in order to set a sample size restriction. The ideal in qualitative research is saturation. It serves as a tool to make sure sufficient, high-quality data are gathered to support the investigation.
Quantitative research is a method of gathering and analyzing data that uses numerical and statistical techniques. It is a systematic and objective approach that involves the collection of numerical data through surveys, experiments, or other forms of measurement, which is then analyzed using statistical tools. The goal of quantitative research is to generate and test theories, hypotheses, and models that can be generalized to a larger population.
Quantitative research often involves the use of large samples, which allow researchers to draw statistically significant conclusions about the population being studied. It also involves the use of standardized measures and data collection methods to ensure that the data collected is reliable and valid. Quantitative research is widely used in fields such as social sciences, education, psychology, and market research to study a variety of phenomena, including attitudes, behaviors, opinions, and trends.
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Complete Question:-
Which statement about sample size in qualitative research is true?
A. Sampling for qualitative studies should stop before information becomes redundant.
B. If the quality of data being collected is exceptionally good, a smaller sample may suffice than when data are of mediocre quality.
C. New researchers who have a fresh eye on phenomena can rely on smaller samples than more experienced researchers.
D. Typical case sampling requires more participants than maximum variation sampling.
Find the value of t for a t-distribution with 12 degrees of freedom such that the area to the left of t equals 0.025. Round your answer to three decimal places, if necessary.
Answer:
-2.179
Step-by-step explanation:
Given :
Degree of freedom, df = 12
Area to the left = 0.025
The value of T can be obtained using either a t distribution table or a T value calculator :
t0.025, 12 (to the left) = t(1-0.025), 12 = t0.975,12 = - 2.1788
Therefor le, t value with 12 degree of freedom, with area to the left being 0.025 is - 2.179
Ella's bait and tackle shop sold 128,107 live worms in april and 102,278 live worms in may to the nearest thousand how many worms did ella's bait and tackle shop sell in april and may together
Ella's bait and tackle shop sells 230,385 in April and May.
Based on the given conditions, formulate:
Bait and tackle sold in 128,278 live worms in April
Bait and tackle sold in 102,278 live worms in May
So the total number of Bait and tackles sold in April and May =
=128,107+102,278
= 230,385
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Guys please help I’m having so much trouble
Answer:
Hello! Your answer would be B)B
Step-by-step explanation:
Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Amelia
What is function and not function?
Answer: A function is a relation between domain and range such that each value in the domain corresponds to only one value in the range. Relations that are not functions violate this definition. They feature at least one value in the domain that corresponds to two or more values in the range.
Step-by-step explanation: