The triangle with sides measuring 3, 4, 5 will form a Right Nagle Triangle
What is Pyhtagorean Theorem?
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship in Euclidean geometry between the three sides of a right triangle. It indicates that the area of the hypotenuse square is equal to the sum of the areas of the squares on the other two sides.
Solution:
(i) 4, 11, 20
20² = 4² + 11²
400 = 16 + 121
400 ≠ 137 #Not a right angle triangle
(ii) 16, 21, 25
25² = 16² + 21²
625 = 256 + 441
625 ≠ 697 #Not a right angle triangle
(iii) 5, 13, 25
25² = 5² + 13²
625 = 25 + 169
625 ≠ 194 #Not a right angle triangle
(iv) 3, 4, 5
5² = 3² + 4²
25 = 9 + 16
25 = 25 #Right angle triangle
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Determine the domain of the following graph
Answer:
this pretty vauge, next time just add a pic of the graph
Which of these relations is a function?
Answer:
the first one
Step-by-step explanation:
there cannot be two y-corrdinates under the same x-coordinates
the number of miles that a particular type of car can run before its battery wears out is exponentially distributed with an average of 20,000 miles. what is the probability that the car batery will die somewhere between 25000 and 30000 miles ? ( round to three decimal places )
So the probability that the car will die between 25000 and 30000 miles is P(X > 25000) = 0.286
How does probability work?Probability is a branch of mathematics that deals with numerical descriptions of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, where, generally speaking, 0 indicates the event's impossibility and 1 indicates its certainty.
Here,
Exponential distribution is memory less.
Let be the event of car number of miles car travels before dying out.
So mean
m = 20000
Now P(X > t) = [tex]e^{\frac{-t}{m} }[/tex]
Since P( X > [tex]\frac{(x+y)}{X > x}[/tex]) = P(X > y)
=> P(X > 25000) = [tex]e^{\frac{-25000}{20000} }[/tex]
=> P(X > 25000) = [tex]e^{\frac{-5}{4} }[/tex]
=> P(X > 25000) = 0.286
So the probability that the car will die between 25000 and 30000 miles is P(X > 25000) = 0.286
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What is a rectangle for Class 1?
The rectangle is a closed figure having 4 sides, 4 vertices, and 4 angles.
The opposite sides of the rectangle are parallel and equal to each other. The measure of the angles of the rectangle is 90° i.e. they are right angles.
A rectangle is a 2-dimensional figure.
All rectangles can be squares but all squares cannot be rectangles. A square is a special type of rectangle. This is possible when all the sides of the rectangle are equal.
The various objects in our day-to-day life which has rectangular shape are -
box, mobile, book, blackboard or whiteboard, table, etc.
The visual representation of the rectangle is as follows-
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Keilantra spots an airplane on radar that is currently approaching in a straight line,
and that will fly directly overhead. The plane maintains a constant altitude of 7500
feet. Keilantra initially measures an angle of elevation ofa9° to the plane at point A. At some later time, she measures an angle of elevation of 34° to the plane at point B. Find the distance the plane traveled from point A to point B. Round your answer to
the nearest foot if necessary.
The distance between point A and point B is 36234 feet.
What is meaning of rounding to nearest feet?
Take a look at the straightforward process for rounding to the closest foot in the given points to become comfortable with the manual calculation:
Find the number of feet that is given first.
Look at the first digit following the decimal point, which is the digit we must round off.
If the value is in the range of 0 to 4, leave the digit we care about and trim the rightmost digits.
If the value is between 5 and 9, we should trim the rightmost portion of the number we care about and raise it.
The value that has been rounded to the closest foot is the final number.
Given that a plane maintains a constant altitude of 7500feet. Keilantra initially measures an angle of elevation of a 9° to the plane at point A. At some later time, she measures an angle of elevation of 34° to the plane at point B.
Assume that the position of Keilantra be X.
Draw a diagram that represent given situation.
Consider △ACX,
Applying tangent on the angle ∠AXC
tan 9° = AC/XC
tan 9° = 7500/XC
XC = 7500/ tan 9°
XC = 47353.13
Consider △XBD,
AC = BD = 7500
tan 34° = BD/XD
tan 34° = 7500/XD
XD = 7500/ tan 34°
XD = 11119.20
From the diagram,
AB = DC = XC - XD = 47353.13 - 11119.20 = 36233.92
Round to the nearest foot
AB = 36234
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Answer: its 10662
Step-by-step explanation:
just did it and that was the answer
The amount M (in trillions of dollars) of mortgage debt outstanding in the United States from 1990 through 2009 can be approximated by the function M = f(t) = 0.0037(t + 14.979)2, where t = 0 represents the year 1990.
a) Describe the transformation of the common function f(x) = x2. Then sketch the graph over the interval 0 ≤ t ≤ 19.
b) Predict the mortgage debt in the year 2014.
Answer:
The function f(t) = 0.0037(t + 14.979)^2 can be rewritten as f(t) = 0.0037(t^2 + 29.958t + 222.126). This is a quadratic function that has been stretched vertically by a factor of 0.0037 and shifted 14.979 units to the right and 222.126 units up.
To sketch the graph of this function, we can start with the graph of f(t) = t^2, which is a parabola that opens upwards. The transformation of this function stretches the parabola vertically by a factor of 0.0037, so its maximum and minimum values will be much smaller. The shift of 14.979 units to the right means that the vertex of the parabola will be located 14.979 units to the right of the vertex of the original parabola. The shift of 222.126 units up means that the minimum value of the function will be located 222.126 units above the minimum value of the original parabola.
On the interval 0 ≤ t ≤ 19, the graph of the function will be a parabola that stretches vertically by a factor of 0.0037 and is shifted 14.979 units to the right and 222.126 units up from the graph of f(t) = t^2.
To predict the mortgage debt in the year 2014, we can substitute t = 24 into the function f(t) = 0.0037(t + 14.979)^2. This gives us f(24) = 0.0037(24 + 14.979)^2 = 0.0037(39.979)^2 = 0.0037 * 1595.7441 = 5.90834 trillion dollars. This is the predicted mortgage debt in the year 2014.
Please help me raise my grade
David has a coin collection. He keeps 9 of the coins in his box, which is 2% of the collection. How many total coins are in his collection?
Multiply/scale up to solve.
Total Coins in the collection are 450 units
What is Percentage?
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. The percent symbol, "%," is commonly used, however the abbreviations "pct.", "pct," and sometimes "pc" are also used. A percentage is a number with no dimensions; it has no unit of measurement.
Solution:
Given that 9 is 2% of the total collection
Let, total collection be x
2% of x is 9
2/100 * x = 9
x = 9 * 50 = 450
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x-3y = -18
2x - 6y = 6
Answer:
x = -4
y = 4.67
Step-by-step explanation:
Buck takes out a $235,000 mortgage at 4.3%. He plans to make monthly payments of $1,136 over the course of 30 years. What is the loan’s APR?
APR=2nfP(N+1
4.3%
4.9%
5.7%
7.9%
The loan's APR is 246.7%. Buck takes out a $235,000 mortgage at 4.3%. He plans to make monthly payments of $1,136 over the course of 30 years.
Define APR.The interest charged for borrowing that reflects the real yearly cost of the loan stated as a percentage is called the annual percentage rate (APR). the annual percentage cost of borrowing, which takes into account interest and other costs. Example. An APR of 9% is calculated using a $1000 loan with an annual interest rate of $80 and a service charge of $10.
Given,
Without a doubt, given that
Buck borrowed $235,000 in all.
$1136 in monthly payments
Loan term:
30 years
30 × 12
360 months
Buck's repayment amount equals monthly payments length of the loan
= 360 x 1136
= $408960
APR
= Amount paid back by buck - Amount borrowed by buck/Amt borrowed × Duration
= 408960 - 235000/235000 × 30
= 2.467 × 100
= 246.7%
The loan's APR is 246.7%. Buck takes out a $235,000 mortgage at 4.3%. He plans to make monthly payments of $1,136 over the course of 30 years.
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Answer:
4.3%
Step-by-step explanation:
correct on odyssey
a gum manufacturer wants to determine whether blue packaging or red packaging is preferred. the company performs a sales test by introducing red packages into a random sample of ten stores, and blue packages are introduced in an independent, random sample of ten stores. the technique most appropriate for analyzing the data is
The technique most appropriate in introducing red packages into a random sample of ten stores, and blue packages are introduced in an independent, for analyzing the data is the Independent Samples T-test for means.
The test examines the means of two independent groups to see if there is statistical evidence that the related population means differ considerably. A parametric test is the Independent Samples t Test.
The Independent Samples t Test is frequently used to test the following variables: Statistical disparities between two groups' means, statistical differences between two interventions' means, and statistical differences between the means of two change scores. When comparing the means of exactly two groups—no more and no less—use an independent samples t-test.
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Manipulate the equation for s
S/r+m=v
Answer choice
Add M
Multiply by r
Multiply by v
Subtract m
Divide by r
Step-by-step explanation:
rearrange the equation so that the unknown you are r trying to calculate is on its own on one side of the equation
Question 18 (2 points)
A triangle has vertices at F(-7,3) G(2,6) and H(3,5). What are the coordinates of each vertex of the image if the triangle is reflected
over the line y=x?
a
O b
ос
Od
F(-3,7) G'(-6,-2) H'(-5,-3)
F(7,-3) G'(-2,-6) H'(-3,-5)
F(-7,-3) G'(-2,6) H'(-3,5)
F(3,-7) G'(6,2) H'(5,3)
The coordinates of each vertex of the given triangle FGH, if the triangle is reflected over the line y = x, are F'(3, -7), G'(6, 2), and H'(5, 3).
What is the rule for the reflection of a shape across the line y = x?The rule for the reflection across the line y = x is
(x, y) ⇒ (y, x)
Here the coordinates are shuffled or interchanged among themselves for a reflection and form an image.
Calculation:The given triangle has vertices at F(-7, 3), G(2, 6), and H(3, 5).
When it is reflected across the line y = x, the image of the triangle forms at the vertices
F(-7, 3) → F'(3, -7)
G(2, 6) → G'(6, 2)
H(3, 5) → H'(5, 3)
The reflection across the line y = x is shown in the graph below.
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approximate negative twelve plus square root of eighty to the nearest tenth.
Answer:
A Square Root of 80 to the nearest tenth, means to calculate the square root of 80 where the answer should only have one number after the decimal point.
Here are step-by-step instructions for how to get the square root of 80 to the nearest tenth:
Step 1: Calculate
We calculate the square root of 80 to be:
√80 = 8.94427190999916
Step 2: Reduce
Reduce the tail of the answer above to two numbers after the decimal point:
8.94
Step 3: Round
Round 8.94 so you only have one digit after the decimal point to get the answer:
8.9
To check that the answer is correct, use your calculator to confirm that 8.92 is about 80.
Answer:
You're answer is 8.9. Hope it helps.
Can you prove congruence with 3 angles?
It is NOT necessary for two triangles to be congruent just because the three angles (AAA) connecting them are congruent.
Given,
The congruent angles;
Angles of equal measure are said to have congruent angles. Thus, all angles with the same measure are referred to as congruent angles. They can be found everywhere, such as in isosceles triangles, equilateral triangles, and situations where a transversal intersects two parallel lines.
That is,
The triangles do not necessarily need to be congruent just because the three angles (AAA) between two triangles are similar. They have the same shape (or something similar), but we have no idea how big they are.
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Connor is 1.55 meters tall. At 1 p.m., he measures the length of a tree's shadow to be 39.75 meters. He stands 34.7 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Answer: 11.4m
Step-by-step explanation:
Answer:
12.2 meters
Step-by-step explanation:
What did the boy measuring stick say when he say the girl measuring stick.
Answer:
What the boy measuring stick said when he saw the girl measuring stick was - Pleased to meter/metre you. It is a pun, or a play on words, because you'd normally say - Pleased to meet you, but given that these are not people, but rather measuring sticks, and what they do is measure stuff using meters as a unit of length, using the word meter instead of meet creates a funny effect because those words sound alike.
Step-by-step explanation:
Write a polynomial function of least degree with integral coefficients that has the given zeros
The polynomial function of least degree with integral coefficients is equal to f(x) = x³ - 4x² + x + 6 with the given zeros 3, 2, -1.
As given in the question,
Given zeros of the polynomial function are :
3, 2, -1
⇒ ( x - 3 ) =0 or ( x - 2 ) = 0 or ( x + 1 ) = 0
Polynomial function of the given factors ( x - 3 ) =0 or ( x - 2 ) = 0 or
( x + 1 ) = 0 is given by :
f (x ) = ( x - 3 )( x - 2 )( x + 1 )
⇒ f(x) = ( x² - 3x - 2x + 6 ) ( x + 1 )
⇒ f(x) = ( x² - 5x + 6 ) ( x + 1 )
⇒ f(x) = x³ + x² -5x² - 5x + 6x + 6
⇒f(x) = x³ - 4x² + x + 6
Therefore, the required polynomial function of least degree with integral coefficients using given zeros is equal to f(x) = x³ - 4x² + x + 6.
The complete question is:
Write a polynomial function of least degree with integral coefficients that has the given zeros 3, 2, -1?
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What is a formula for the nth term of the given sequence? 144, 192, 256...
Answer:
An=144(3/4)1-n
Step-by-step explanation:
hope it helps. Mark as brainliest
Jeremy is going to roll a fair 666-sided die 180180180 times. What is the best prediction for the number of times that jeremy will roll a number greater than 444?.
The best prediction would be that Jeremy will roll a number greater than 444 approximately one third of the time. This would be approximately 605360600 times.
How come probability is a theory?The study of random events is the focus of probability theory, a subfield of mathematics. It is impossible to predict the outcome of a random event before it happens, although it could take any of numerous different forms. It is believed that chance played a role in how things turned out.
What draws us to study probability?Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures and the risk of health impacts are related.
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let p be a transition matrix of a regular markov chain and q be its steady state vector. what is the eigenvalue associated with vector q?
The Eigen Valve in λ = 1, in the transition matrix.
What is matrix?
An arrangement of numbers, factors, symbols, or phrases inside a rectangular table to various amounts of columns and rows is referred to as a matrix, which is the plural form of the word matrix. These rectangular arrays can perform addition, multiplication, as well as transposition operations, among other operations. The entries or numbers of a matrix are its constituent parts. In matrices, the horizontal and vertical entries are made reference to as rows and columns, respectively. There will be m n entries in a matrix to m rows as well as n columns. The capital "A" in this sentence needs to stand for "matrix," Aij.
Announce a = L are correct answer
To understand the Markov chain- let assume P matrix of regular al transition matrix
P = [tex]\left[\begin{array}{cc}0.3&0.7\\0.7&0.3\\\end{array}\right][/tex]
λ I - A = 0
λ² - 0.6λ - 0.4 =0
λ = 1 or -0.4
Hence The Eigen Valve in λ = 1
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Can somebody help me with number 3
Step-by-step explanation:
Angle 2 would be 49 ° because it's congruent to the other vertical angle.
Angle 3 in the left triangle is 68° and now that we know 2 is 49° we can solve that triangle.
The left triangle is 180° in total, to figure this out, listen to these steps
68 + 49 = 117°
180 - 117 = 63°
Angle 1 in left triangle is 63°
Angle 4 is 93 - 49 = 44°
and angle 3 would be = 87
49 + 44 + 87 = 180
Write the sentence as an inequality.
Three is no less than a number z.
Write the sentence as an inequality. Three is no less than a number z.
3 ≥ z
does 4 equal to the fraction 8 over 4?
The comparison of the expressions 4 and fraction 8 over 4 is that they are not equal
How to compare the expression?From the question, we have the following parameters that can be used in our computation:
4 and fraction 8 over 4
Rewrite the above expression using mathematical operators and mathematical symbols
So, we have the following representation
4 and 8/4
The above expression are integers and fraction expressions
So, we express 8/4 as an integer
This gives
4 and 2
The number 2 is less than the number 4
This means that both numbers are not equal
Hence, the conclusion is not equal
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a small electric bike speed is 24 miles in 2/3 hour At this rate how many miles can it drive in 1 hour
Answer: 36 miles
Step-by-step explanation:
2/3 hour = 40 minutes
We know that its speed is 24 miles in 40 minutes
So take 24 divided by 40 = 0.6 miles per minute
Then take 0.6 times 60 = 36 miles in 1 hour
So it can drives 36 miles in 1 hour
A ea turtle uually lay a clutch of 110 egg in it net in one night. If there are 30 turtle laying egg on the ame ame night , how many egg are laid in total that night ?
Using simple multiplication , The number of eggs laid total that night is
3300.
What do you mean by arithmetic expressions?A group of numbers or variables coupled with the operations +, -, *, / or form an expression. Algebraic expressions with variables, numbers, and mathematical operators, as opposed to arithmetic expressions that simply contain numbers and mathematical operators.
What do you mean by unitary method?The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
Sea turtle lays 110 egg in one night.
number of turtle = 30 .
Total number of eggs laid that night = 30 * 110
=3300
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What is the relation between scale factor and sensitivity of a transducer 1 point?
The relationship between scale factor and sensitivity of a transducer is scale factor is the inverse of the sensitivity
The scale factor is defined as the ratio between the original measurement and the new measurement.
If the scale factor is greater than 1, then the we are enlarging the measurement. If the scale factor is between 0 and 1, then we are shrinking the measurement
The sensitivity of the transducer is the output obtained per unit changes in the input. The higher sensitivity and lower sensitivity will lead to error. So the sensitivity should be moderate
Here the scale factor is inverse of the sensitivity, when the scale factor increases the sensitivity decreases
Therefore, the scale factor is the inverse of the sensitivity
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A group spends $277.50 to rent 15 tubes for a float down the ichetucknee river. How many of each type of tube does the group rent?
The rental fee for each tube is $18.50 for the 15 tubes for a float down the ichetucknee river.
The cost is determined as the amount of money spent on some causality and thus it is calculated as the total of money that is spend from the money deposited form.
Here we have A group spent $277.50 to rent 15 tubes for a trip down the Ichetucknee River.
Cost of each tube, Assuming the group spends $277.50 on renting 15 tubesCost of renting 1Letbethe * 44 tubes 444 So the cost of renting 15 tubes = 15x = 15xSo the total cost of renting 15 tubes =\$277.50From the above calculation,=> 15x =\$ 277.50=> x = 277, 5/15 = 18.5Rental cost per pipe is 18.5$.Read more about cost;
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80% of the picture frame is glass. What is the area of the moulding
Answer:
20
Step-by-step explanation:
If 80% of the picture frame is glass, then 100-80 = <<80=20>>20% of the frame is moulding.
If the total area of the frame is 100 square inches, then the area of the moulding is 20 square inches. Answer: 20.
Find the missing number in the number sentence below.
-86+ _____ = 0
Question 4 options:
A: 89
B: 0.86
C: 87
D: 86
Answer:
86
Step-by-step explanation: