Answers
The value of x is 2√13 units.
The correct option is D.
What is Pythagoras' theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given:
A right-angled triangle.
The value of the base is 12 units.
And the length of the perpendicular is 8 units.
Therefore,
x = √{(8)² + (12)²}
x = √(64 + 144)
x = √208
x = 2√13
Therefore, x = 2√13.
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Related Questions
Consider the data set.
91, 91, 92, 97, 99, 108, 110, 112, 119, 132, 150
Which box plot represents the data set?
Answers
The box plot that represents the data-set is given as follows:
Option B.
What is shown by the box and whisker plot?From left to right, the five features of the box and whisker plot are listed as follows
Minimum value.Lower quartile.Median.Upper quartile.Maximum value.The data-set in this problem has 11 elements, hence:
The first half is 91, 91, 92, 97, 99.The second half is 110, 112, 119, 132, 150.The median is 108.The quartiles are the mean of each half, hence:
First quartile: 92.Second quartile: 119.Meaning that the second plot is correct.
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After receiving a 45% discount, Mark bought a new camera for $245.99. What was the cost of the camera before the discount
Answers
Answer: $546.60 (*this was the actual number but I rounded it $546.644444444)
Step-by-step explanation:
Divide: $245.99/0.45 = 546.644444444
You can double check your answer by multiplying 546.644444444 by 0.45 and you will get $245.99
If you multiply by $546.60 you will get $245.97 since you rounded
Given: (x+y)^2 evaluate the expression if x=6 and if y=9
Answers
Answer:
225
Step-by-step explanation:
(x+y)^2, if x=6 and y=9
Put 6 in place of x and 9 in place of y.
(6+9)^2 According to order of operations, add the 6+9 first.
(6+9)^2
= 15^2
= 225
Solve the equation AB=BC for A, assuming that A,B and C are square matrices and B is invertible.
Answers
The solution of AB = BC for A, assuming that A,B and C are square matrices and B is invertible is [tex]A = BCB^{-1}[/tex]
We have to solve the equation
AB = BC , given that these all are square matrices and B is invertible.
Write the required Equation:
AB = BC
Multiply both sides by inverse of B
The multiplicative inverse of a matrix is the matrix that gives you the identity matrix when multiplied by the original matrix.
Matrix multiplied by an identity matrix, the result is always the same original non-identity (non-unit) matrix, and thus, as explained before, the identity matrix gets the nickname of "unit matrix"
[tex]ABB^{-1} = BCB^{-1}\\AI = BCB^{-1}\\A = BCB^{-1}[/tex]
so the solution of AB = BC is [tex]A = BCB^{-1}[/tex]
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Plss help its due today
Answers
(a) The angle measurement of first unknown angle is c = 80 degrees
(b) The angle measurement of second unknown angle is y = 110 degrees
How to find the angle measurement of first unknown angle?Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.
(a) You can pick pair of starting angles a = 30 degrees and b = 70 degrees
The angle measurement of first unknown angle will be:
a + b + c = 180 (sum of angles in a triangle is 180 degrees)
c = 180 - a - b
c = 180 - 30 - 70
c = 80 degrees
(b) The angle measurement of second unknown angle will be:
y = 180 - b (sum of angles on a straight line is 180 degrees)
y = 180 - 70
y = 110 degrees
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There are 51 runners in a race. how many ways can the runner finish first, second and third
Answers
Answer: 124950
Step-by-step explanation:
So, let’s look at this logically. For first place, you can any one of the 51 runners finish there. For 2nd place, you can have any one of the remaining 50 runners finish there. For 3rd place, you can have any one of the 49 runners who haven’t finished finish there. runners who haven’t finished finish doesn’t matter .So, you take all of the possibilities, and times them together, 51*50*40 different possibilities.Now, if you want a generic equation, you can run it through this equation, x being the number of possibilities, and n being the number of ones your choosing:
(51!)/(51-3)!
How do you validate a min-heap?
Answers
To validate a min-heap, you can follow these steps: Start at the root, Check each subtree, Repeat the process recursively, If any node violates the min-heap property, then the heap is not valid.
Start at the root: Verify that the value at the root node is the minimum value in the heap. This is the defining property of a min-heap. Check each subtree: For each subtree, check that the value at the root of the subtree is less than or equal to the values of its child nodes. If this property holds true for all subtrees, the heap is a valid min-heap. Repeat the process recursively: Continue the above steps for each subtree until all nodes have been checked. If any node violates the min-heap property, then the heap is not valid. In that case, you can either rebuild the heap or identify the specific node or subtree that violates the property and fix it. In summary, to validate a min-heap, you need to check that the root node contains the minimum value, and each subtree obeys the min-heap property. You can check the property recursively until all nodes have been verified, and identify any nodes that violate the property for correction.
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A marine biologist was interested in seeing the relationship between a manatee's weight and height. She gathered data and wanted to construct a graph to display the data in order to observe this relationship.
Is a scatter plot or a line graph more appropriate to construct for the data, given the context of the problem? Explain.
A scatter plot, because it would show the association or relationship between two variables
A scatter plot, because it would show how a variable changes over time between each data point given
A line graph, because it would show the association or relationship between two variables
A line graph, because it would show how a variable changes over time between each data point given
Answers
Answer:
(c) A line graph, because it would show the association or relationship between two variables
Step-by-step explanation:
You want to know if scatter plot or a line graph more appropriate to construct for seeing the relationship between a manatee's weight and height.
VariablesThe variables involved are "weight" and "height". Notice that "time" is not involved. (This eliminates choices B and D.)
GraphA line graph is useful for showing how one variable relates to another as the value of one variable changes. It would be useful for plotting the weight and height of one animal as it changes during the animal's lifetime.
When multiple animals are involved, a scatter plot might be more helpful for showing the relationship.
The context is given as "a manatee's weight and height", not "manatees' weight and height." Hence it seems we can assume that we're looking at data for only one animal.
The appropriate graph would be ...
A line graph, because it would show the association or relationship between two variables — choice C.
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Esteban's family buys a new car. For the next five years, the car's value decreases
by about 20% per year
Answers
Answer:
If the Esteban's car continues to decrease 20%, by five years the car will be worthless.
20 x 5 is 100. This means that 100% of the car will have lost its value and will be worthless.
I hope this helps & Good luck <3 !!!
Draw the graph of the equation y=6-x-x² and find the gradient at x=2 x=-3+0+3
Answers
The graph of equation y = 6 - x - x² is shown in figure.
And, The value of gradient at x = 2 is, - 5.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ y = 6 - x - x²
Now, The graph of equation y = 6 - x - x² is shown in figure.
Which represent the graph of parabola.
And, The value of gradient at x = 2 is,
⇒ y = 6 - x - x²
⇒ y' (x) = 0 - 1 - 2x
⇒ y' (x) = - 1 - 2x
At x = 2;
⇒ y' (2) = - 1 - 2 × 2
⇒ y ' (2) = - 1 - 4
⇒ y' (2) = - 5
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There used to be 60 teachers at RWMS, in 2019 there are 72 teachers. What is the percent increase of teachers this year?
Answers
Find the difference between the starting and ending values:
72 - 60 = 12
Divide that difference by the starting value:
12 ÷ 60 = 0.2
Convert that to a percent:
0.2 = 20%
The number of teachers increased by 20%.
The key is to divide the difference by the original number, not the ending number.
11. Given the four points, A(-3, 5), B(1, 13), C(4, 2), and D(10, 5) are AB and CD parallel? Use
mathematical evidence to justify your answer.
Answers
AB and CD are not parallel lines.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
If the slope of AB and CD are equal then the lines are parallel.
A(-3, 5), B(1, 13), C(4, 2), and D(10, 5)
AB=13-5/1+3
=8/4=2
CD=5-2/10-4
=3/6=1/2
As the slope of lines are different, the lines are not parallel.
Hence, AB and CD are not parallel lines.
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Find the product. Simplify, if needed. 1/8×5/6×4/5
A. 5/48
B. 1/12
C. 1/16
D. 10/240
PLEASE HELP!!
Answers
Answer:
B. 1/12
Step-by-step explanation:
1/8 × 5/6 = 5/48 × 4/5 = 1/12
what is 5.76 divide by 16
Answers
Answer:
0.36
Step-by-step explanation:
and I got this answer by using calculator
liz is writing a report on adult male otters . she is analyzing two data sets that compare the amount of food two adult male otters eat each day for one mounth at the local zoo.
Answers
a. The median of Otter 2 's data is greater than the median of Otter 1's data. b. The variability in the data for Otter 1 is greater than the variability in the data for Otter 2.
c. Liz can conclude that Otter 2 generaily eats more food.
How to convey the informationIn statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution.
The median is the value in the middle of a data set, meaning that 50% of data points have a value smaller or equal to the median and 50% of data points have a value higher or equal to the median.
The median for A is 25.5 and 26 for B. This implies that B has higher median than A.
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An ordered pair equation, do you know (x,y)?
Answers
Answer:An ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of (x, y). The first number corresponds to the x-coordinate and the second to the y-coordinate. To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair.
Step-by-step explanation:
PLEASE HELP ASAP‼️‼️ I’ve been wasting my points and I don’t know the answer
Answers
The ratio of SR and ML and ratio of ST , MN are equal ,so they are similar triangles .
What is triangle ?
Triangle can be defined in which it consists of three sides , three angles and sum of three angles is always 180 degrees.
In given two triangles,
RST and NLM
In the triangle RST ,
The sum of angles is 180
so,
44 + 15 + S = 180
S = 180 - 59
S = 121
And similarly in the triangle NLM,
N + 121 + 44 = 180
N = 180 - 165
N = 15
Therefore, The values of given angles S and N are 121 , 15 respectively
SR / ML = 3.61 / 5.415 = 0.667
ST / MN = 9.71 / 14.565 = 0.667
Hence, The ratio of SR and ML and ratio of ST , MN are equal ,so they are similar triangles .
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what will be the value of |2-3i| ?
Answers
The value of complex number |2 - 3i| will be, 3.605
What is a complex number ?A complex number is one that has the formula a + bi, where I is the imaginary unit and a and b are real numbers. A and b are the real and imaginary halves of a complex number, respectively.
In order to expand the real number system to include answers to polynomial equations that couldn't be solved with just real numbers, complex numbers were first introduced. Many branches of mathematics and science, such as computer science, physics, and engineering, are based on the idea of a complex number.
The absolute value of a complex number "a + bi" can be calculated as the square root of the sum of the squares of its real and imaginary parts:
|a + bi| = √(a² + b²)
In this case, a = 2 and b = -3, so:
|2 - 3i| = √(2 + (-3)²)
= √(4 + 9)
= √(13)
= approximately 3.6055
So, the value of |2 - 3i| is approximately 3.6055.
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Which equation does the graph below represent? (5 points)
O
A
-5-4-3 -2 -10 1 2 3 4 5
Ob
Oc
Od
20
16
12
22
280
4
ܬܬ ܣ ܘ ܗ 8
-8
-12
-20
1
y-¼+x
y= +X
1
y = 4x
y=4+x
y = 4x
Answers
14 cm
2 cm
18 cm
2 cm
What is the approximate area of the remaining cardboard? Use 3.14 for and round to the nearest whole number.
O 227 cm²
O 246 cm²
O258 cm²
O276 cm²
Answers
The approximate area of the remaining cardboard would be = 246 cm². That is option B.
How to calculate the area of the remaining cardboard?To calculate the area of the remaining cardboard = (area of rectangle) - 2(area of circle)
The formula that is used to calculate the area of rectangle = length×width
where length = 14 cm
width = 18cm
area = 14×18 = 252 cm²
The area of the 2 circle formula;
= 2(πr²)
where π = 3.14
r = 2/2 = 1
area = 2(3.14) = 6.28
Area of the remaining cardboard
= 252 cm²- 6.28
= 245.72
= 246 cm²
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Simplify.
68.6³ = 61²]
65
Answers
If two events are collectively exhaustive, what is the probability that both occur at the same time?
a) 0. b) 0.50. c) 1.00. d) Cannot be determined from the information given
Answers
If two events are collectively exhaustive, then the probability that both occur at the same time is 1.00 (Option c)
What do you mean by Probability?Probability is a quantification of how likely an event is to occur. Typically, probabilities are defined as the chances that a specific outcome will occur out of a given selection of outcomes. A probability is expressed mostly in decimal form, taking values between 0 and 1. Probabilities cannot exceed this particular range of values.
Firstly, To clarify : You are confusing mutually exclusive and jointly collectively exhaustive.
The former describes condition which cannot both (or all) obtain. and so exclude one another.
i.e., "not - (both A and not - A)"
The latter describes conditions, one of which must obtain, and so exhaust the field of possibilities. i.e., "either A or not - A"
I presume you intend to refer to the latter.
Second, to answer your question: If two events - are jointly exhaustive, their probabilities must by definition sum to 1.
It is thus certain, not merely probable, that one or the other will obtain.
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The temperature in Toronto, Canada was 12° F at noon. For the remainder of the day, the temperature dropped 5° every hour. What equation could be used to represent the relationship between x, the number of hours past noon, and y, the temperature outside?
WHAT IS THE GRAPH?
Answers
Answer:
y=12-5x
Step-by-step explanation:
We know that 12 is our original number so we put that first. X represents the number of hours. And 5 is how much its dropping per hour. Y would be our final answer. If you sub in for x the amount of hours outside and multiply it by 5, that's how many degrees it dropped.
3x + y = -8 -2x - y = 6
Answers
Answer:
x=-2
Step-by-step explanation:
if we find sum of same variables ,
3x-2x+y-y=-8+6
x=-2
how problem solving with algorithms and data structures using python?
Answers
The algorithms are a problem solving tool in Python because it provides a wide range of built-in algorithms that can be used to solve many common problems.
The Algorithms are a fundamental problem solving tool in Python . An algorithm is a set of instructions that are executed in a specific order to solve a particular problem. In Python, algorithms can be implemented in the form of functions or methods.
So , In addition to the built in algorithms, Python also provides a rich collection of third party libraries that contain various algorithms that can be used to solve complex problems.
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The given question is incomplete , the complete question is
How are algorithms a problem solving tool in Python ?
Factory A has produced 120 pairs of shoes
and produces 40 more each week. Factory B
has produced 70 pairs of shoes and produces
50 more each week. How many weeks (w)
will it be before Factory B produces as many
pairs of shoes (s) as Factory A?
s = 40w + 120
s = 50w + 70
[?] weeks
Answers
Answer:
5 weeks
Step-by-step explanation:
Let factory B produce the same amount of shoes as factory A in w weeks.
then,
70+50w = 120+40w
50w - 40w = 120 - 70
10w = 50
w = 50/10
w = 5
Therefore, in 5 weeks factory B will produce the same amount of shoes as factory A will produce in 5 weeks time.
Describe how the graph of
g(x) = 4(0.5)x - 3
compares to the graph of
f(x) = 4(0.5)x .
Answers
Answer:
the graph of g(x) will be the same shape as the graph of f(x), but shifted downward by 3 units.
Step-by-step explanation:
The functions g(x) = 4(0.5)^x - 3 and f(x) = 4(0.5)^x are both exponential functions with the same base of 0.5 and the same coefficient of 4.
However, the graph of g(x) will be shifted downward by 3 units compared to the graph of f(x), because of the constant subtraction of 3 at the end of the function. This shift will occur for all values of x, meaning that the distance between the two graphs will remain constant as x changes.
In other words, the graph of g(x) will be the same shape as the graph of f(x), but shifted downward by 3 units.
Pls do 1 or more and if all I will mark brainlyest
Answers
Answer:
Step-by-step explanation:
1. The Louisiana Purchase
Thomas JeffersonMeriwether LewisThe purpose of this would be to greatly strengthen the U.S. materially and strategically and provide powerful impetus to westward expansion and also confirmed the doctrine of implied powers of the federal Constitution.James MonroeExpanding the nation westward.2. The War of 1812
Causes- British Orders-in-Council and impressment. Effects- increased patriotism in the United States and increased respect for the US from other countries.The United States and Great Britain3. The Missouri Compromise
A law that tried to address growing sectional tensions over the issue of slavery.Causes- many people opposed the extension of the institution of slavery into new territory, and worried that adding Missouri as a slave state would upset the balance that currently existed between slave and free states in the Union. Effect- admitted Missouri as a slave state and Maine as a non-slave state at the same time, so as not to upset the balance between slave and free states in the nation. It also outlawed slavery above the 36º 30' latitude line in the remainder of the Louisiana Territory.4. Trail of Tears
The deadly route used by Native Americans when forced off their ancestral lands and into Oklahoma.Cherokee, Choctaw, Chickasaw, Creek, and Seminole tribes.Hope this helped!
A product is marked down to 15%; the sale price is $127.46. What was the original price?
Answers
Answer:
The original price is $ 149.95
PLEASE HELP 20 POINTS 1. Jack, Art, Fran, and Megan work as volunteers at the local kennel. Jack gives the dogs baths every 4 days; Art cleans out cages every 6 days; Fran feeds the animals in Section Bevery 2 days; and Megan helps the receptionist every 3 days. How many times in 12 weeks will all 4 helpers be at the clinic on the same day? Show all work and explain how you got your power Due date
Answers
All 4 helpers will be at the clinic on the same day 7 times in 12 weeks.
What is Prime Factorization?
"Prime Factorization" is the process of determining which prime numbers multiply together to get the original number.
To find the number of times in 12 weeks that all 4 helpers will be at the clinic on the same day, we need to find the least common multiple (LCM) of the numbers 4, 6, 2, and 3.
First, we can find the prime factorization of each number:
4 = 2 x 2
6 = 2 x 3
2 = 2
3 = 3
Next, we can find the LCM by taking the highest power of each prime factor that appears in the factorizations:
LCM = 2 x 2 x 3 = 12
Therefore, all 4 helpers will be at the clinic on the same day every 12 days. Since 12 weeks is equivalent to 84 days, we can divide 84 by 12 to get the number of times:
84 ÷ 12 = 7
So, all 4 helpers will be at the clinic on the same day 7 times in 12 weeks.
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