The area of the triangle is 3 units^2. Since the area is equal to
hside * side/ 2.
Define area.
The measure of a region's size on a plane or curved surface is called area. While surface area refers to the area of an open surface or the boundary of a three-dimensional object, the area of a plane region or plane area refers to the area of a form or planar lamina.
Area is defined as the total amount of space occupied by a flat (2-D) surface or the shape of an object. On a sheet of paper, draw a square with a pencil. It is a two-dimensional figure. The area of a shape on paper is the area it occupies.
Solution Explained:
Given,
Length of Hypotenuse = 3units
One side = 2units
Area = (Length of Hypotenuse X Length one side) / 2
= (3 X 2) / 2
= 3units^2 (after calculation)
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alice walks from the top to the bottom of an escalator that is moving up and counts 150 steps. her friend, bob, walks from the bottom to the top of the escalator and counts 75 steps. if alice's walking speed (in steps per unit of time) is three times bob's walking speed, how many steps are visible on the escalator at a given time? (assume that this value is constant.)
Based on the information provided, it can be determined that there are 120 steps visible on the escalator at any given time.
Assume that there are x total steps, e for the escalator speed, and b for Bob's pace.
Bob noticed 75 stairs and climbed the entire escalator in the time it took him to ascend it. As a result, the escalator must have added an extra x + 75 steps.
Let e and b be the speeds of the escalator and Bob, respectively.
Alice took 150 steps at a speed of (3b-e) step rate as she descended the stairs.
Bob took 75 steps at a speed of (b+e) each step as he ascended.
Since, Al and Bob were walking the same distance at a time , we have,
150(3b-e) = 75(b+e)
Solving these two equation we get , e/b = 3/5
Thus while Bob took 75 steps to go up, the escalator contributed an extra
3/5 * 75 = 45 steps
Finally, there is a total of 75+45=120 steps in the length of the escalator.
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an open-top box is to be made by cutting small congruent squares from the corners of a 12- in.-by-12-in. sheet of tin and bending up the sides. how large should the squares cut from the corners be to make the box hold as much as possible? what are the dimensions of the box with the largest volume?
The squares cut from the corners should be large in width and length 6 to hold the box as much as possible. The dimensions of the box with the largest volume are 6 x 6.
If the squares cut from the corners are h × h inches
The open-top box will have
A height of h
A width of 12 - 2h
and a length of 12 - 2h
So its volume will be
V(h) = h × (12 - 2h) × (12 - 2h)
= 4h³ - 48h² + 144h (square inches)
dV/dh= 12h² - 96h + 144
Critical points occur when the derivative (dV/dh) is zero.
12h² - 96h + 144 = 0
h² - 8h + 12 = 0
(h − 2)(h − 6) = 0
It is clear that h = 6 is not the crucial point for the maximum as it would produce widths and lengths of zero (and so a volume of zero).
In order to cut out squares measuring 6 × 6 inches from the corners of the bigger sheet, the most volume may be obtained.
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If you earn $0. 25 per quart of berries picked, how much will you earn if you pick 900 quarts?.
Answer: $225
Step-by-step explanation: .25 x 900 = 225
Answer: $225
Step-by-step explanation:
You earn $.25 for every quart picked. You pick 900 quarts. take 900 and times it by .25. You get 225 so you earn $225
2.66 as a fraction in simplest form
Answer:
133/50
Step-by-step explanation:
2.66 as a fraction in simplest form
(2.66 × 100)/100 =
266/100 =
133/50
-----------------
check
133 : 50 = 2.66
the answer is good
kal and kara solve this problem in two different ways. the perimeter of a rectangle is 4646 centimeters. its length is 88 centimeters. what is its width? use the drop-down menus to complete the sentences below.
If the perimeter of the rectangle is 4646 centimeters and its length is 88 centimeters then its width would be 2235 centimeters
What is meant by the term Perimeter?The perimeter of a form in geometry is defined as the entire length of its border. A shape's circumference is calculated by summing the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.
In daily life, people constantly employ the idea of perimeter. For instance, we measure the perimeter of the area to be fenced in or decorated for Christmas to determine how much wire you will need.
We are aware that a regular polygon has equal-length sides.
A regular polygon's perimeter is equal to the product of all of its sides, which is equal to the quantity o sides times the length of a side.
How to solve?
width = 4646 - 2*88 =4470
width of one side = 4470/2 = 2235 centimeters
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why is it inportant to use the order of operations to evaluate algebracic expressions
Answer:
To get the correct answer.If it isnt followed you will get a number/answer but that is incorrect
Linda kept track of her times in the 50-meter freestyle at her team's swim meets.
Distance = 50 meters
Slowest means, longest time =58 seconds
Speed is equal to distance divided by time:
Speed = 50/58
=25/29 m/s
=0.86m/s which is the answer.
Linda kept track of her times in the 50-meter freestyle at her team's swim meets. Swim times (sec.) H 40 44 48 52 56 60 What was Linda's slowest time in the 50-meter freestyle? 60 seconds 52 seconds 56 seconds 58 seconds
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A decision maker has five potential independent variables with which to build a regression model to explain the variation in the dependent variable. At step 1, variable x3 enters the regression model. Which of the following indicates which of the four remaining independent variables will be next to enter the model?A) The variable with the highest coefficient of partial determinationB) The variable that has the next highest correlation with the dependent variableC) The variable that will provide the next largest value for the slope coefficientD) Can't be determined without seeing the correlation matrix.
When building a regression model provided the given information from the four remaining independent variables the variable to be entered next (second) would be variable with the highest coefficient of partial determination. (Option A)
A regression model refers to a function that illustrates the relationship between one or more independent variables and a response, target, dependent variable. The primary uses of regression analysis are forecasting, time series modeling and identifying the cause-and-effect relationship between variables. When building a regression model with five potential independent variables to explain the variation in the dependent variable, at step 1, variable x3 enters the regression model. Of the four remaining independent variables, the variable entered next into the model would be the variable with the highest coefficient of partial determination. A coefficient of partial determination refers to the measurement of marginal (extra) contribution of X variable or percentage of variation in the response variable that can be explained by the explanatory variables and can be used to measure how strongly two variables are related to one another.
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please help me asap it would help alot
if a woman's first child is a girl and her second child is also a girl, what is the probability that her third child would be a girl?
The probability that her third child would be a girl is 50%.
Probability:
In math probability means the possible of happening a particular event amount the total number of event.
Given,
Here we need to find if a woman's first child is a girl and her second child is also a girl, what is the probability that her third child would be a girl.
We already know that, there are two sex chromosomes X and Y.
And in the humans are diploid having two sex chromosomes, in females a pair of the X chromosome is found while in males an X and Y chromosome is present.
So, there is 50% chance that the subsequent child is going to be a girl because it entirely depends upon the chromosome of the sperm which fertilizes the ovum.
For each pregnancy features a 50% chance of leading to a boy or girl and this doesn't include the likelihood of multiples.
Here already having 2 girls previously doesn't affect the probabilities of any resulting pregnancy.
Therefore, the prospect of getting a girl remains at 50%.
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Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
16 ft to 36 ft
Answer:
Step-by-step explanation:
The easiest way to do this is to clear the decimal by multiplying the numerator and the denominator by
10
.
You can reduce the fraction later.
40
m
48
m
2) Reduce the fraction to its simplest form
Cancel out
8
from the top and the bottom
5
m
6
m
←
answer
This answer means that the numerator and denominator of the given fraction
4
m
4.8
m
are in a
5
:
6
ratio relationship with each other.
Check
Is
4
4.8
equal to
5
6
?
Cross multiply
(
4
)
(
6
)
should be equal to
(
5
)
(
4.8
)
24
is equal to
24.0
C
h
e
c
k
Write the rule for the mapping, x =,1,2,3,4 and y= 1,3,5,7
Answer: y=2x-1
Step-by-step explanation:
(1,1) (2,3) (3,5) (4,7)
1=2(1)-1
3=2(2)-1
5=2(3)-1
7=2(4)-1
a measurement of how well a child can do certain tasks at a certain time in comparison to other children is a(n) test.
A(n) IQ test evaluates a child's performance in relation to other kids in terms of how well they can perform specific activities at a specific time.
Each individual IQ exam is made up of a number of smaller questions, and no reading nor writing are required. Some verbal subtests consist of spoken questions with no set time restriction. Other subtests are frequently timed and typically have a visual or spatial focus. It takes one to two hours to give the exam.
115 to 129: Superior or intelligent. 130 through 144: Fairly talented. From 145 through 159: Very talented. Exceptionally talented from 160 to 179.
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Which ordered pairs lie on the graph of the exponential function f(x)=3(14)x? Select each correct answer. (1, 0.75) (-3,-192) (0,1) (-1,12)
The ordered pair that lie on the graph of the exponential function f(x)=3(14)ˣ is (-1, 12)
What is exponential graph?A curve that depicts an exponential function is known as an exponential graph.
The curve have a horizontal asymptote and either an increasing slope or a decreasing slope. this is to say that the curve begins as a horizontal line, increases or drops gradually, and then the growth or decay accelerates. It may or may not cut the x-axis, but it always cuts the y-axis at some point.
An exponential graph will almost always have a y-intercept but not necessarily an x-intercept.
The given function was plotted on a graph and the point that lie on the graph is (-1, 12).
the point (-3,-192) is way out of the graph
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a 2.2 GB game is being downloaded onto your laptop. When you have downloaded half a gigabyte, you notice that your computer has been downloading at a rate of .01GB/min. Write an inequality that represents at least how many minutes it will take to download the whole game.
The inequality that represents at least how many minutes it will take to download the whole game
is x ≥ (2.2 - 0.5)/0.01
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
In this scenario, 2.2 GB game is being downloaded onto your laptop and when you have downloaded half a gigabyte, you notice that your computer has been downloading at a rate of .01GB/min.
The inequality will be illustrated. Let the number of minutes be x.
x ≥ (2.2 - 0.5)/0.01
This illustrates the inequality.
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x + 2y = −4 please hurry
Answer:
x = -2y - 4
Step-by-step explanation:
x + 2y = -4
Subtract 2y from both sides.
x = -4 - 2y
Answer:
x = 2
this is the answer hope u pass
can someone please help me solve the systems by graphing?
The graphs for the given systems of linear equations are shown below.
From the graph, the solution to the first system is (8, -5)
From the graph, the solution to the second system is (-7, -6)
Graphing system of linear equationsFrom the question, we are to graph the given system of equations
The given system of equations is
y = 1/4x - 7
y = -1/2x - 1
First, we will plot the graph by using the x-intercepts and the y-intercepts of the lines
y = 1/4x - 7
Set y = 0 to determine the x-intercept
0 = 1/4x - 7
7 = 1/4x
x = 28
The x-intercept of the equation is 28
Set x = 0 to determine the y-intercept
y = 1/4(0) - 7
y = 0 - 7
y = -7
The y-intercept of the equation is -7
For y = -1/2x - 1
Set y = 0 to determine the x-intercept
0 = -1/2x - 1
1 = -1/2x
-x = 2
x = -2
The x-intercept of the equation is -2
Set x = 0 to determine the y-intercept
y = -1/2(0) - 1
y = 0 - 1
y = -1
The y-intercept of the equation is -1
Using the x-intercepts and y-intercepts, the graph of the system is shown below
For the second system of equations
y = 1/7x - 5
y = 8/7x + 2
For y = 1/7x - 5
Set y = 0 to determine the x-intercept
0 = 1/7x - 5
5 = 1/7x
x = 35
The x-intercept of the equation is 35
Set x = 0 to determine the y-intercept
y = 1/7(0) - 5
y = 0 - 5
y = -5
The y-intercept of the equation is -5
For y = 8/7x + 2
Set y = 0 to determine the x-intercept
0 = 8/7x + 2
-2 = 8/7x
8x = -14
x = -14/8
x = -7/4
The x-intercept of the equation is -7/4
Set x = 0 to determine the y-intercept
y = 8/7(0) + 2
y = 0 + 2
y = 2
The y-intercept of the equation is 2
Using the x-intercepts and y-intercepts, the graph of the system is shown below
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A round shaped wall clock frame is made of a steel rod with length of 1.57m. calculate the radius,in m, of the frame.
Check the picture below.
[tex]\textit{Circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=1.57 \end{cases}\implies 1.57=2\pi r\implies \cfrac{1.57}{2\pi }=r\implies {\Large \begin{array}{llll} \stackrel{meters}{0.25}\approx r \end{array}}[/tex]
A, B, and C are three landmarks in a national park. Landmarks A and B are 650 meters apart. Landmarks B and C are 822 meters apart. Carla takes 4 minutes to run from Landmark A Landmark B, and another 6 muinutes to run from Landmark B to Landmark C. What is Carla's average speed in meters per minute for the run from Landmark A to Landmark C?
An online tutoring company charges $25 per session plus an annual membership fee of $45. If a member is charged $545 for the year, how many sessions did they have that year?
The total number of sessions they did in that year will be equal to 20.
What is an equation?Equations are mathematical expressions with two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be similar to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a simple fundamental equation.
As per the data given in the question,
The charge per session = $25
Annual membership charge = $45
Total money paid = $545
Money left after paying for the annual membership = $545 - $45= $500
The total number of sessions in $500 will be,
T = 500/25
T = 20 sessions.
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how long will it take for the population of a small town with 500 people to double in size if the population increases at a rate of 15% per year
The small town would take up 5 years to double the population from 500 people.
What is percentage ?As its sign is "%," the word "percent" implies "for every hundred". Since it is read as a percentage, "x%" should be read as "x percent." So, a percent is a fraction with a denominator of 100. 30%, for instance, equals 30/100 (i.e. 30 parts from 100). You can also write this as 0.30.
Population of small town = 500
Population Growth rate = 15 %
To find :
Time when the population is doubled.
We will use successive change
500 People after 1 year = 575
575 People after 1 year = 661.25
661.25 People after 1 year = 760.4375
760.4375 People after 1 year = 874.503125
874.503125 People after 1 year = 1005.67859
Hence it will total take the time of 5 years to double the population.
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best answer gets brain award thing!
Look at the point in which the x-value is equal to -1
k(-1) = 7
create a class to calculate the areas of differents geometrical shapes, the shapes are square, rectangal, triangle. class should methods name area,
Creation of class to calculate the areas of different geometrical shapes requires to use certain rules which are mentioned in detail here.
How to name a Class?Developers frequently encounter naming issues. I lost count of the number of hours I've spent considering what to name things and the amount of time it took me to decipher code that had inappropriate names. Whether it was an object, methods, class, or something else is irrelevant. Given that we spend more time reading code than developing it, effective naming is usually beneficial in the long run.
Your code becomes better and cleaner when you use excellent names. It aids in helping you recognize the functions of each piece of code intuitively. It makes your application easier to read in the future by other developers as well as yourself.
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sketch the nyquist plot based on the bode plots for each of the following systems , and then compare your results whit that obtained by using the matlab command nyquist : dont be concerned with the details of exactly where the curve goes , but do make sure it crosses the real axis at the right spot , has the correct number of -1 encirclements and goes off to infinity in the correct direction. A). >KG ( s) a= K( s+2 ) / s + 10 B.>KG ( s) = K / ( s + 10 )(s+2)2 C).>KG ( s) = K (s+10)(s+10) / (s+100)(s+2)3 D). Usinng your plots , estimate the range of k for which each system is stable , and qualitatively verif your result by using a rough sketch of a root locus plot.
Sketching the nyquist plot based on the bode plots for the mentioned systems require a certain understanding of bode plots explained in detail.
What do you understand by bode plots?In reality, Bode plots are a collection of graphs that display a system's frequency response. This system might be any system (not simply a circuit!) that changes its behavior when its frequency (cycles per second) changes.
Frequency Response simply describes how our system will alter in response to a specific input frequency. This collection of notes will be referred to as our input frequency.
Bode charts often have two graphs. We'll refer to one as the magnitude plot and the other as the phase angle plot.
We'll need something initially called a transfer function. Typically represented as H(s) or H(j). A transfer function often equates to the ratio of the output to the input.
A). >KG ( s) a= K( s+2 ) / s + 10 B.>KG ( s) = K / ( s + 10 )(s+2)2 C).>KG ( s) = K (s+10)(s+10) / (s+100)(s+2)3 D)
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a random sample of 1000 car owners in a particular city found 150 car owners who received a speeding ticket this year. find a 95% confidence interval for the true percent of car owners in this city who received a speeding ticket this year.
The confidence interval for the true percent of car owners in the city who received a speeding ticket be, (139.27 , 160.73).
Subtract 1 from your sample size. 1000 – 1 = 999. This provides the degrees of freedom.
Subtract the confidence level from 1, and then divide by two.
(1 – .95) / 2 = .025
Now, df = 999 and α = 0.025
from the table at df = 999 we got 2.262.
Divide your sample standard deviation by the square root of your sample size.
150 / √(10) = 4.74
Now, 2.262 × 4.74 = 10.73
So, the confidence interval be,
(150 - 10.73 , 150 + 10.73) = (139.27 , 160.73)
Hence, the confidence interval for the true percent of car owners in the city who received a speeding ticket be, (139.27 , 160.73).
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if gear \text{a}astart text, a, end text is rotated by the motor at a rate of 100 \text{ rpm}100 rpm100, start text, space, r, p, m, end text, what is the number of revolutions per minute for gear \text{c}cstart text, c, end text ?
The number of revolution per minute for Gear C is 200 rpm
It is given that
The gear ratio r:s is ratio of number of teeth of two connected gear
Also , the gear A is rotated at rate of = 100rpm
Since, Gear A has 20 teeth and Gear B has 60
Ratio = r : s
=> 20 : 60
=> 1 : 3
Thus , the ratio of number of revolution per minute for two gear is s:r
=> 3 : 1
Means Gear A turns at 3 rpm , Gear B turns at 1 rpm
Similarly , for Gear B and Gear C
The ratio of rpms for these two will be =>
10 : 60
=> 1 : 6
That is , when Gear B turns at 1rpm , Gear C turns at 6rpms
Therefore, If Gear A turns at 100 rpms
the Gear B turns at = 100/3 rpms
Hence , Gear C turns at = 100/3 × 6
=> 200 rpms
I've answered the question in general as the question is incomplete
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(14+ 8²︎) ÷ 2 - 10
Help on this please
Answer:
29
Step-by-step explanation:
(14+8²︎) ÷ 2 - 10
(14+64) ÷ 2 - 10
(78) ÷ 2 - 10
39 - 10
29
Could you please mark me brainliest for this? Thank you!
please help!
factor 2x^2-7x-9
Answer:
(x + 1 ) (2x-9)
Step-by-step explanation:
Break The expression into groups
= ([tex]2x^{2} +2x)+(-9x-9)[/tex]
Factor out 2x from [tex]2x^{2}[/tex] + 2x: 2x (x + 1)
and then you want to factor out the -9x - 9 -9( x + 1 )
and that equals 2x( x + 1 ) [tex]-9(x+1)[/tex]
And now do it again Factor out common term x + 1
and now it " Equals" [tex](x + 1)(2x-9)[/tex]
I need help pls!!!!!!!!!!!!!!!!!!
Answer:
First line: First box:1 Second box: 5
Second line: First box: 20 Second box: 15 Third box: 5
Step-by-step explanation:
This is two ways to do the same problem.
5(4-3) The first problem. We are subtracting the numbers in the parentheses and then multiplying that by 5
5(1) = 5
The second way to solve this is by using the distributive property. We are multiplying 5 by both numbers in the parentheses and then subtracting those two numbers
5(4-3)
5(4) - 5(3)
20 - 15
5
consider any two numbers a, b with a < b. if x is the uniform distribution on the interval [a, b], what is the variance of x?
The variance over an interval for a uniform distribution is
V(X) = ( b - a )²/ 12
Here,
a and b are intervals .
By the definition of the variance, V(X) = E[X2] − (EX)2.
On solving ,
V(X)
=(a²+ab+b²)/3−(a²+2ab+b²)/4
=(a²−2ab+b²)/12
=( b - a )²/ 12
A continuous probability distribution is a Uniform distribution and is related to the events which are equally likely to occur. It is defined by two parameters, x and y, where x = minimum value and y = maximum value. It is generally denoted by u(x, y).
A two-parameter family of curves known as the uniform distribution (sometimes known as the rectangle distribution) is famous for having a constant probability distribution function (pdf) between its two bounding parameters.
For values tabulated to a specific number of decimal places, this distribution is suitable for illustrating the distribution of round-off mistakes. Techniques for generating random numbers , like the inversion method, use the uniform distribution.
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