A student discovers that, in the triangle shown here, the equation conclude from this fact? m² + n²/p² = 1 holds true. What can she conclude from this fact
Answers
m² + n²/p² = 1 is not equation of triangle
Solution :
Triangle :
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted. Equilateral triangle.
Pythagorean triples are any three positive integers that completely satisfy the Pythagorean theorem. The theorem states that in any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two legs of the right triangle.
m² + n²/p² = 1
Pythagorean triples are a set of 3 positive numbers that fit in the formula of the Pythagoras theorem which is expressed as, a2 + b2 = c2, where a, b, and c are positive integers. Here, 'c' is the 'hypotenuse' or the longest side of the triangle and 'a' and 'b' are the other two legs of the right-angled triangle. The Pythagorean triples are represented as (a,b, c). The most popular example of Pythagorean triples is (3, 4, 5). We can verify that 3, 4 and 5 satisfy the equation a2 + b2 = c2. Let us see how! 32 + 42 = 52 ⇒ 9 + 16 = 25. Observe the right-angled triangle given below which shows the Pythagorean triples, 3, 4, and 5.
triangle triplet :
3,4,5
let's try to prove this by using pre define triplet triangle
m= 3
n=4
p=5
3*3+4*4/5*5= 1
9+16/25= 1
9*25 +16/25 =1
225+16/25=1
9.64[tex]\neq[/tex] 1
this
m² + n²/p² = 1 is not equation of triangle
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Related Questions
Eva left her house at time zero and drove to the store, which is 3 blocks away, at a
speed of 1 block per minute. Then she stopped and went into the store for 3 minutes.
From there, she drove in the same direction at a speed of 1 block every 2 minutes
until she got to the bank, which is 3 blocks away from the store. She stopped at the
bank for 6 minutes. Then she drove home at a speed of 1 block every minute. Make a
graph of showing the number of blocks away from home that Eva is a minutes after
she leaves her house, until she gets back home.
Answers
The function f(x), representing the number of blocks Eva is away from her house after x minutes is
[tex]f(x) = \begin{cases} & 0\text{ if } x= 0\\ & x\text{ if } 0 < x\leq 3 \\ & 3\text{ if } 3 < x\leq 6\\ & x/2\text{ if } 6 < x\leq 12\\ & 6\text{ if } 12 < x\leq 18\\ & 24-x\text{ if } 18 < x\leq 24 \\ & 0\text{ if } x > 24 \end{cases}[/tex]
The graph for the same is attached.
In the question, we are asked to form a graph showing the number of blocks, that Eva is away from her home at x minutes, after she leaves her home.
To form the graph, we first try to make a function for x minutes, f(x), showing the number of blocks Eva is away from her home after x minutes.
Since x represents time, it cannot be negative.
At x = 0, f(x) = 0, as she is at her home at 0 minutes.
Then, Eva visits the store, 3 blocks away from her home at a speed of 1 block per minute.
Thus, she moves 1 block every minute up to 3 minutes.
Thus, we get f(x) = x, 0 < x ≤ 3.
After this, she spends 3 minutes at the store, giving f(x) = 3, 3 < x ≤ 6.
Then she moves towards the bank, in the same direction, 3 blocks away at the speed of 1 block every 2 minutes.
Thus, in every minute, she travels 1/2 block.
Thus, the function can be designed as follows:
f(x) = 3 + (1/2)(x - 6), 6 < x ≤ 12,
or, f(x) = x/2, 6 < x ≤ 12.
Now, we are given that she stops at the bank for 6 minutes.
Thus, we get, f(x) = 6, 12 < x ≤ 18.
Now, she drove back home, at the speed of one block every minute.
Thus, we get f(x) = 6 - (x - 18), 18 < x ≤ 24,
or, f(x) = 24 - x, 18 < x ≤ 24.
At the 24th minute, Eva reaches her house back, giving f(x) = 0, x > 24.
Thus, the complete function can be shown as:
[tex]f(x) = \begin{cases} & 0\text{ if } x= 0\\ & x\text{ if } 0 < x\leq 3 \\ & 3\text{ if } 3 < x\leq 6\\ & x/2\text{ if } 6 < x\leq 12\\ & 6\text{ if } 12 < x\leq 18\\ & 24-x\text{ if } 18 < x\leq 24 \\ & 0\text{ if } x > 24 \end{cases}[/tex]
The graph for this function is attached.
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O Zeema gets paid £22,440 per annum. Assuming she gets paid in equal monthly payments, how much does she earn per month?
Answers
O Zeema gets paid £1870 per month in equal monthly payments.
The amount paid each month to repay the loan over the course of the loan is known as the monthly payment. When a loan is taken out, not only the principal, or the original amount borrowed, but also the interest that accrues, must be repaid.
Now when the total amount earned in a month is given then the monthly payment is calculated by dividing the total amount by 12 as there are 12 months in a year.
Annual amount earned by O Zeema=£22,440
Therefore monthly amount earned=£22,440 ÷12=£1870
Hence O Zeema earns £1870 per month
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How do you get 2.718?
Answers
Answer:
Step-by-step explanation:
[tex]\lim\limits_{x \to 0} (1+x)^\frac{1}{x} =e\ (the\ second\ remarkable\ limit.)\\\\ \lim\limits_{x \to 0} (1+x)^\frac{1}{x} \approx2.718[/tex]
3.6w = 2 (0.8w+12) MUST DO WITH AN EXPLANATION IF ITS CORRECT ILL GIVE BRAINLIEST
Answers
Answer:
w=12
Step-by-step explanation:
3.6w=2(0.8w+12)
3.6w=2x0.8w+2x12
3.6w=1.6w+24
3.6w-1.6w=24
2w=24
w=12
HOPE THIS WILL HELP;)
How would you write the name of a segment differently than the name of a line? What
symbols would you use?
Answers
The way to write the name of a segment differently than the name of a line is that a line is written with the use of two arrowheads on the ends. While a line segment is just written down by an overbar with endpoints.
What is the line segment about?A line is known to be a kind of a one-dimensional figure that moves from infinitely in 2 directions.
A line segment is seen as a part of a line that is known to be made up of definite attributes where it has two endpoints as well as a fixed length.
Therefore, The way to write the name of a segment differently than the name of a line is that a line is written with the use of two arrowheads on the ends. While a line segment is just written down by an overbar with endpoints.
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A shop in the mall is 5 meters by 15 meters. How much would it cost to recarpet the shop with carpet that costs $5.00 per square meter?
Answers
Work Shown:
The floor area is length*width = 5*15 = 75 square meters
1 square meter = 5 dollars
75*(1 square meter) = 75*(5 dollars)
75 square meters = 375 dollars
135,701.949 rounded into hundreds
Answers
135,701.949 rounded to the hundredths is 135,701.95
6−2(8−x)=2x−10
l don't understand the question
Answers
Answer: x has infinite number of solutions
Step-by-step explanation:
6−2(8−x)=2x−10
6-16-2(-x)=2x-10
-10+2x=2x-10
2x-10=2x-10 ==> x has infinite number of solutions
Identify the a, b and c values from general form:
f(x) = 7x^2 - 10x + 3
a =
b =
c =
Answers
Answer:
a = 7
b = -10
c = 3
That is all for this question.
find the solutions to the equation in the interval 0 ≤ theta ≤ ????/2 . enter your answers as a comma-separated list. 2cos(4theta) − 1
Answers
The solutions to the equation in the interval are x = π/3, x = 5π/3 and x = π.
What is an equation?A formula for a mathematical equation is one that connects two expressions and expresses their equality using the equals sign (=). In English, an equation is defined as a properly written formula that consists of two expressions connected by an equals sign, however cognates of the word in other languages may have slightly different meanings. For instance, an equation is defined as having one or more variables in French. Finding the variables' values that cause the equality to be true is the first step in solving an equation with variables.
Let's assign a variable to the cosine function, cos(x), and say y = cos (x). Our phrase changes to
4y2 + 2y - 2 = 0
2(2y2 + y - 1) = 0
2y2 + y - 1
= 2y(y+1) - (y + 1)
= (2y - 1)(y + 1)
2(2y-1)(y+1) = 0
y + 1 = 0 = y = -1
The answers cos(x) = 1/2 and cos(x) = -1 result from replacing y with cos(x). Our solutions are x = /3, x = 5/3, and x = on the interval [0, 2], where cos(x) = 1/2 for x = /3 and x = 5/3 and cos(x) = -1.
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1. Eight less than the product of a
number and 6 is seven less than
that number
2. The product of a number and 2 is the same as the sum of that number and eleven
Answers
The values of x are 1/ 5 and 11 respectively.
What are algebraic expressions?Algebraic expressions are expressions that are comprised of terms, constants, coefficients, variables and factors.
They are also made up of arithmetic operations made up of subtraction, addition, multiplication, division.
To determine the expressions, we have;
1. Let the number be x
We have the expression as;
6x - 8 = x - 7
collect like terms
6x - x = - 7 + 8
5x = 1
Make 'x' the subject
x = 1/ 5
2. Let the number be x
2x = x + 11
collect like terms
2x - x = 11
x = 11
Thus, the values of x are 1/ 5 and 11 respectively.
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last year, nine hundred forty-nine thousand people visited the museum. what is the number written in standard form?
Answers
The number of written in standard form is 9.45 × 10⁵
Writing in Standard formFrom the question, we are to write the given number in standard form
The given number is
Nine hundred forty-nine thousand
That is,
945000
To write a number in standard form, we will write the number as a decimal number between 1.0 and 10.0, multiplied by a power of 10.
The number, 945000, written in standard form is
9.45 × 10⁵
Hence, the number of written in standard form is 9.45 × 10⁵
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which sequence of rigid transformations will map the preimage ABC onto image A'B'C'?
Answers
The sequence of rigid transformations that will map the preimage ΔABC onto image ΔA'B'C' is Option(a) a reflection across the x-axis, a translation 8 units right, and then a reflection across the x-axis.
What is the sequence of rigid transformations?There are three basic rigid transformations: reflections, rotations, and translations.Reflections, as the name implies, mirror the given shape over a particular line. Translations slide or shift a shape from one location to another, whereas rotations spin a shape about a predetermined center point.Co-ordinates of the points of ΔABC are,
A = (-4, 2)
B = (-6, 2)
C = (-2, 6)
point (x,-y) is the reflection of the point (x,y) across the x-axis.
So, new co-ordinates are,
A = (-4, -2)
B = (-6, -2)
C = (-2, -6)
point (x+8,y) is the translation of the point (x,y) by 8 units right.
So, new co-ordinates are,
A = (4, -2)
B = (2, -2)
C = (6, -6)
Then, the reflection of the point (x,y) across the x-axis is the point (x,-y).
So, new co-ordinates are,
A' = (4, 2)
B' = (2, 2)
C' = (6, 6)
These are the coordinates of ΔA'B'C' so the correct answer is Option(a).
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"The complete question is: Which sequence of rigid transformations will map the preimage ΔABC onto image ΔA′B′C′?
a) a reflection across the x-axis, a translation 8 units right, and then a reflection across the x-axis
b) a translation 4 units down and 10 units to the right
c) a reflection across the line y = x followed by a rotation 90° counterclockwise
d) a rotation 180° clockwise followed by a reflection across the x-axis."
Suppose that P and Q are points on the number line.
If PQ=10 and Q lies at 13, where could P be located?
If there is more than one location, separate them with commas.
Answers
we get that the point P can either lie at - 3 or at 23.
We are given the two points:
P and Q
We are also given the distance between the two points P and Q is:
PQ = 10 units.
Now we have that Q lies at 13.
We have to find the location of P.
We know that
Distance = P ± Q
10 = P ± 13
so, we get that
10 = P + 13 or 10 = P - 13
P = 10 - 13 or P = 13 + 10
P = -3 or P = 23
Therefore, we get that the point P can either lie at - 3 or at 23.
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3.66 x 10^1 in standard form
Answers
36.6 in standard form will be [tex]3.66 * 10^{1}[/tex]
As per the question statement, we are given standard form of a number i.e., [tex]3.66 * 10^{1}[/tex].
We have to find the number whose standard form is [tex]3.66 * 10^{1}[/tex]
For solving this, we should be knowing about standard form conversion from any given number which is written by raising the number to power of 10.
[tex]3.66 * 10^{1}[/tex][tex]= 3.66 *10 = 36.6[/tex]
Therefore 36.6 is the number whose standard form is [tex]3.66 * 10^{1}[/tex]
Standard form: A number can be expressed in a fashion that adheres to specific standards by using its standard form. Standard form refers to any number that may be expressed as a decimal number between 1.0 and 10.0 when multiplied by a power of 10.To learn more about Standard form, click on the link given below:
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a certain european automobile has a gas mileage of 19 km/l. what is the gas mileeage in miles per gallon
Answers
The gas mileeage in miles per gallon is 44.69 miles per gallon
How to convert 19 Km/L to miles per litresWe'll begin by converting 19 Km/L to miles per litres. This can be obtained as follow:
Gas mileage (in Km/L) = 19 Km/LGas mileage (in mile per litres) =?1 Km/L = 0.621371 mile per litre
Therefore,
19 Km/L = (19 Km/L × 0.621371 mile per litre) / 1 Km/L
19 Km/L = 11.806 miles per lire
How to convert 11.806 miles per litre to miles per gallonWe can convert 11.806 miles per litre to miles per gallon as follow:
1 mile per litre = 3.78541178 miles per gallon
Therefore,
11.806 miles per litre = (11.806 miles per litre × 3.78541178 miles per gallon) / 1 mile per litre
11.806 miles per litre = 44.69 miles per gallon
Thus, the gas mileage is 44.69 miles per gallon
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can anyone solve -6(4-x)<-4(x+1)
Answers
Answer: x<2
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
hope this was helpful!! - hailey_ <3 :)
Which expression represents the product of 3 and 7
Answers
Answer:
343.
Step-by-step explanation:
nice :)
The product of 3 and 7 is 21.
What is the product of two number?The product of two numbers is the result you get when you multiply the numbers together.
Given are two numbers, 3 and 7.
When we multiply 3 to 7 we get 21,
Mathematically, it can be expressed as,
3x7 = 21
Hence, The product of 3 and 7 is 21.
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There are 3 circles and 9 squares. What is the simplest ratio of circles to squares?
Answers
Answer:
1/3
Step-by-step explanation:
3/9 divide both sides by 3 for simplest form
1/3
can someone help me with all of this and show work pls (I posted this before but I had to create a new acc atm) pls I'm begging bro
Answers
Answer:
Step-by-step explanation:
Neville and his friends are going to a local peach festival. They plan to go on rides all day. The tickets for the rides are $0.50 each. Find the domain and range with words and inequalities.
Answers
The domain of x will be a set of whole numbers greater than 2 which is; x > 2
The range of y will be a set of rational numbers greater than or equal to 1.5 which is; y ≥ $1.5
What is the domain and range?
The domain of a function is defined as the set of all possible input values that make the function possible while range is the set of all possible output values that are possible from the input values.
The function is; y = 0.5x
Since the value of x represents the number of people that purchased tickets for the rides including Neville, then we can say that the domain of x will be a set of whole numbers greater than 2 because we are told it is him and his friends which is plural. Thus;
The domain is; x > 2
The range will be;
y ≥ 3(0.5)
y ≥ $1.5
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5000+200+5000+300+40
Answers
Answer:
10,540
Step-by-step explanation:
(5000*2)+(200+300)+40
10,000+500+40=10,500+40=10,540
Hope this helps!
Answer:
10540
Step-by-step explanation:
The regular price of a photograph printed on a canvas is $18. You have a coupon for 15% off. How much is the discount?
I KNOW ITS 2.70 I JUST NEED TO KNOW HOW TO GET IT PLEASE MY THINGS DUE TONIGHT AND IM VERY BAD AT PERCENTAGES!!
Answers
(When doing percentages, move the decimal 2 places to the left and multiply)
QUICK PLS I NEED HELP
Answers
Answer:
1/3 is a repeating decimal. 0.33333....
7/12 is a repeating decimal 0.5834....
1/5 is a terminating decimal 0.5
5/8 is a terminating decimal 0.625
2/9 is a repeating decimal 0.2222......
Step-by-step explanation:
Hope it helps! =D
Answer:
1/3 is a repeating decimal
7/12 is a repeating decimal
1/5 is a terminating decimal
5/8 is a terminating decimal
2/9 is a repeating decimal
How many centimeters are in 7 feet given that 1 inch is 2.5 cm
Answers
Answer: 210 cm
Step-by-step explanation:
1 inch=2.5 cm
1 foot=12 inches
1 foot*12 inches*2.5 cm=30 cm
1 foot=30 cm
7 feet=30*7=210 cm
Evaluate 2X^2 + 3X -10 for the domain of {-2, 3}
Answers
The values of the expression at the domain {-2, 3} are {-8, 4}
How to evaluate the expression for the domain?The expression is given as
2x^2 + 3x - 10
The domain of the function is given as
{-2, 3}
Rewrite the domain as
x = {-2, 3}
Next, we substitute these values of x in the expression 2x^2 + 3x - 10
So, we have
x = -2:⇒ 2(-2)^2 + 3(-2) - 10 = -8
x = 2:⇒ 2(2)^2 + 3(2) - 10 = 4
Hence, the values of the expression at the domain {-2, 3} are {-8, 4}
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Please help me, it’s due in 35 mins. Please & thank you *SHOW YOUR WORK*
Answers
Answer:
Week 1:
Michelle makes the most with $237.50
Chris made $195 and Alex made $178.50
Week 2:
Michele makes the most with $232
Chris made $192.50 and Alex made $180.83
Week 3:
Alex makes the most with $234.50
Chris made $272.50 and Michelle makes $206
Step-by-step explanation:
For Chris in week 1, multiply 3/100 x 1500 to get what he makes on commission. That equals $45. $150 + $45 = $195
For Michelle in week 1, multiply 15 x 5 = 75. Also multiply 25 x 6.5 = 162.5 to find how much she gets payed by the Pringles. Add it up to get $237.50
For Alex in week 1, multiply 21 x 8.5 = $178.50
For Chris in week 2, multiply 1/40 x 1000 = $25 to get what he makes on commission for the first $1,000. Then multiply 7/200 x 500 = $17.50 to get when he makes on commission for the sales over $1,000. Add it all up and get $192.50
For Michelle in week 2, multiply 10 x 5 = 50 to find how much she gets payed by the Rogers'. Then multiply 28 x 6.5 = 182 to find how much she gets payed by the Pringles. Add it up to get $232
For Alex in week 2, multiply 25 x 7 = 175 to find out how much he earns for 5 hours each day. Then, since Alex worked another 50 minutes, multiply 5/6 x 7 = 5.83. Add it up to get $180.83
For Chris in week 3, multiply 3/200 x 1500 = 42.50 to get what he makes on commission. Then add it with the base salary of 250 to get $272.50
For Michelle in week 3, since the Pringles paid her double, she earned $13 an hour. So, multiply 13 x 12 = 156. Then add it with the $50 she makes from the Rogers' and get $206
For Alex in week 3, multiply 7 by the number of hours he works each day in the week. Get $234.50
A professional gamer is preparing for a tournament. in his game he averaged a score of 534 points, every day, for 5 days. then, for the next 3 days he scored a total of 1827 points. finally in another 4 days he averaged a score of 516 points each day. in 12 days how many points in total did this gamer get
Answers
In 12 days a professional gamer got 6561 points
We know that average is ratio of the sum of all observations and the number of total observations.
For given question,
A professional gamer averaged a score of 534 points, every day, for 5 days.
⇒ 534 = (total score of 5 days) / 5
⇒ total score of 5 days = 534 × 5
⇒ total score points of 5 days = 2670 points
Then, for the next 3 days he scored a total of 1827 points.
So, the total points of 8 days would be,
total score points of 5 days + total score points of 3 days
⇒ 2670 points + 1827 points = 4497 points.
In another 4 days he averaged a score of 516 points each day.
⇒ 516 = (total score of 4 days) / 4
⇒ total score of 4 days = 516 × 4
⇒ total score points of 4 days = 2064 points
So, the total number of points he did in 12 days:
total score points of 5 days + total score points of 3 days + total score points of 4 days
= 2670 points + 1827 points + 2064 points
= 6561 points
Therefore, in 12 days a professional gamer got 6561 points
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What is the major determinant of the permeability of a membrane to a specific ion?
Answers
The major determinant of the permeability of a membrane to a specific ion is "the quantity of open ion channels that are specific to that ion."
What is ion channels?Certain cells, known as excitable cells, are distinguished by their capacity to produce electrical signals.
Some key features regarding the open ion channels are-
Although there are many different types of excitable cells, such as neurons, muscle cells, & touch receptor cells, they all use ion channel receptors to transform chemical or mechanical messages in to the electrical signals.Whenever an ion channel is open, ions to move in a single-file fashion into and out of the cell. Individual ion channels are ion-specific, which means that they typically allow only one type of ion to pass via them. The amino acids that line a channel, as well as the physical width of the channel, determine which ions can pass from the cell's exterior to its interior, or vice versa.To know more about the ion channels, here
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In Exercises 11 and 12, write a rule for the translation of LMN to L'M'N'
Answers
The rule for the translation from LMN to L'M'N' is:
(x,y) -> (x + 3, y + 1).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, we have that each vertex of LMN was:
Shifted 3 units right, hence x -> x + 3.Shifted 1 unit up, hence y -> y + 1.Thus the rule for the translation from LMN to L'M'N' is:
(x,y) -> (x + 3, y + 1).
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