The 40 50 90 triangle can be solved using Pythagoras theorem.
What is the 40 50 90 triangle?A triangle in which both legs are congruent, and the length of the hypotenuse is the length of a leg times the square root of 2.
Given:
We have 40 50 90 triangles.
A triangle with two equal legs whose hypotenuse measures one leg's length multiplied by the square root of two.
Because the length of the hypotenuse in the triangle above equals the length of one of its legs times sqrt(2), which is 3, the triangle is a 40-50-90 triangle.
So, Such type of Triangles can be solved using Pythagoras theorem.
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a candy store makes a 9-pound of gummy candy jelly beans and hard candy the cost of gummy candy is $2.00 per pound jelly beans cost $3.00 per pound and hard candy costs $3.00 per pound the mixture calls for two times as many gummy candy pieces as jelly beans the total cost of the mixture is $23.00 how much of each ingredient did the store use? please show explanation
Answer: 4.5 jelly beans
Step-by-step explanation: 3.00$ x 5 = 15.00$ x (2$) = 23.00$
The average age of a university student was found to be 24 with a standard
deviation of 2. What age group is within 2 standard deviations of the mean?
The age group that falls between two standard deviations is 20 to 28.
What is the standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean.
Given, The average age of a university student was found to be 24 with a standard deviation of 2.
Therefore, age group is within 2 standard deviations of the mean is,
24 + 2×2 = 24 + 4 = 28,
And 24 - 2×2 = 24 - 4 = 20.
So, The age group between 20 to 28 falls within 2 standard deviations of the mean.
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Please help me! Find the circumference of the circle
Answer:
convert to cmthen write the perimeter of the circle and solveReview the graph of complex number z. On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z is at (negative 7, negative 6). What is the conjugate of z?
The conjugate is -7+6i. The correct option is third.
What is conjugate?When two binomials have the same terms but different arithmetic operators in the center of these related words, they are said to be conjugate. For instance, the conjugate of p + q is p - q.
Given:
On a coordinate plane,
the y-axis is labeled imaginary and the x-axis is labeled real.
Point z is at (negative 7, negative 6).
Z(-7, -6)
So, the equation,
-7-6i
So, the conjugate of the equation is,
-7+6i
Therefore, -7+6i is the conjugate of the points.
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May someone please help me.
Answer: x=9
Step-by-step explanation:
Here the given angles are,
50,80,6x-4
The sum of the angles of a triangle is 180 degrees and hence
50+80+6x-4=180
130+6x-4=180
126+6x=180
6x=180-126
6x=54
x=54/6
x=9
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The surface area of a cube is 24cm^2 . Find the
length of the sides.
Help please
The length of the sides of cube will be;
⇒ 2 cm
What is mean by Cube?A cube is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six squared faces with eight vertices and twelve edges is called cuboid.
Given that;
The surface area of a cube = 24 cm².
We know that;
The surface area of a cube with side 'a' is,
⇒ S.A = 6a²
Here, The surface area of a cube = 24 cm²
Hence, We get;
⇒ 24 = 6a²
⇒ 24/6 = a²
⇒ a² = 4
⇒ a = √4
⇒ a = 2 cm
Thus, The side of cube = 2 cm
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Write two expressions for the perimeter of a square explain what information is in one of your expression that is not in the other
The expression for the perimeter of a square will be p = 4s.
How to calculate the perimeter?The perimeter of a figure of shape can be gotten the total length of the boundary which the figure or the shape has. it's gotten by adding all the length that the shape has.
It should be noted that a square has four equals sides. The expressions for the perimeter of a square will be:
p = 4 × s.
p = 4s
where s = number of sides.
p = perimeter
For example if the side is 2cm. The perimeter will be calculated by multiplying 4 by the value of the sides. In this case, this will be calculated as:
= Value of sides × 4
= 2 × 4
= 8cm
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What is a parent function example?
An example of a parent function is [tex]f(x) = x^{2}[/tex], which is the parent function to any quadratic equation.
The most basic form of a function is a parent function. Its essential shape is not changed in any manner. In mathematics, some graphs are frequently seen. Because of this, the graphs of quadratic functions, square roots, absolute values, cubics, and cube roots are among the original, widespread functions that are referred to as parent graphs.
For instance, you should still be able to identify the parabola that has undergone various transformations when you view a u-shaped graph that has been inverted and stretched vertically.
Here are a few examples to understand this concept further.
For a quadratic equation, the parent graph is [tex]f(x) = x^{2}[/tex], which is a parabola.For a cubic equation, the parent graph is [tex]f(x) = x^{3}[/tex].Let us take [tex]f(x) = x^{2}[/tex], which is the parent equation of any quadratic equation. The graph of this parent function is a parabola, which is shown below.
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What is a perfect 1st interval?
A perfect interval which identifies the distance between the first note of a major scale and given unison, 4th, 5th or either the octave. Those given intervals can be given in the extra theoretical name as “perfect”.
Perfect intervals has only basic form. The first (also called prime or unison), fourth, fifth and eighth (or octave) are all known as perfect intervals. These intervals are known as "perfect" since these types of intervals sound and they provide the certain frequency ratios which are simple as whole numbers. Perfect intervals sound "perfectly consonant" . that means which are played together, there is a sweet tone to the interval. It sounds perfect or resolved. Whereas, a dissonant which sounds and feels tense and in need of their resolution.
Interval qualities are classified as major, minor, harmonic, melodic, perfect, augmented, and diminished. since ,lower a perfect interval by a half step it becomes a diminished and when it is raised it to a half step it becomes augmented of an interval .
When it is in lower and provides a major non-perfect interval a half step and it becomes a minor interval then if we raise it to a half step it becomes augmented level then if we raise to lower a minor interval by a half step it becomes diminished level , then if we raise a minor level interval a half step it becomes a major level interval.
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FOR 50 POINTS + BRAINLIEST! (NEED ASAP)
Answer:
If Lola wants, then Lola gets
Hypothesis - She is a spoiled brat who has rich parents. But where did they get their wealth?
Conclusion - Her parents are hard workers who have made it up the ladder of wealth.
2. If the measure of an angle is 58*, then the angle is acute
Hypothesis - acute angles are from 1* to 89* which makes it the smallest angle. But why when the word acute means severe?
Conclusion - We know that anything below 90* is an acute angle.
This should be a start. I will finish in a sec...
Answer:
1. Hypothesis: Lola wants.
Conclusion: Lola gets.
2. Hypothesis: The measure of an angle is 58°.
Conclusion: The angle is acute.
3. Hypothesis: The segments are diagonals of a rectangle
Conclusion: The segments are congruent.
4. Hypothesis: You are a Filipino.
Conclusion: You are a God-fearing person.
5. Hypothesis: You are a good citizen.
Conclusion: You will obey rules and regulations.
Step-by-step explanation:
In a statement, the Hypothesis is the part after the "if", and the Conclusion is the part after the "then".
1. If Lola wants, then Lola gets.
Hypothesis: Lola wants.Conclusion: Lola gets.2. If the measure of an angle is 58°, then the angle is acute.
Hypothesis: The measure of an angle is 58°.Conclusion: The angle is acute.3. If the segments are diagonals of a rectangle, then the segments are congruent.
Hypothesis: The segments are diagonals of a rectangleConclusion: The segments are congruent.4. If you are a Filipino, then you are a God-fearing person.
Hypothesis: You are a Filipino.Conclusion: You are a God-fearing person.5. If you are a good citizen, then you will obey rules and regulations.
Hypothesis: You are a good citizen.Conclusion: You will obey rules and regulations.If a coin is tossed 4 times, the odds of it coming up either heads every time or tails every time are 1:7. What is the probability the coin comes up all heads or all tails after 4 tosses?
The probability the coin comes up all heads or all tails after 4 tosses is 1/8
How to determine the probability from the odds?The value of the odds is given as
Odds = 1 : 7
Represent the odds as a fraction
So, we have the following representation
Odds = 1/7
To convert the odds to probability, we make use of the following equation
Probability = Odds/(1 + Odds)
Substitute the known values in the above equation, so, we have the following representation
Probability = (1/7)/(1/7 + 1)
Evaluate the sum
Probability = (1/7)/(8/7)
Evaluate the quotient
Probability = 1/8
Hence, the probability is 1/8
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Solve the inequality 3 x+2 y≥−6 graphically.
Answer:
Step-by-step explanation:
Answer: y ≥ −3/2x − 3
Step-by-step explanation:
Graph the inequality by finding the boundary line, then shading the appropriate area.
Hope this helps!
Is 8 15 and 16 is a Pythagorean triplet?
No, 8,15 and 16 is not a Pythagorean triplet.
A set of three integers that can be the lengths of the sides of a right triangle is called a Pythagorean triple, it also defines the positive integers a, b, and c which is a right triangle that exists with legs a,b, and hypotenuse c.
By the Pythagorean theorem, this is equivalent to finding positive integers a, b, and c satisfying a²+b²=c²
One of the simplest Pythagorean triples is the set “3,4,5.”
Now, substitute the values in the above equation:
16²=8²+15²
256=64+225
256[tex]\neq[/tex]289
Therefore, (8,15,16) is not a Pythagorean triplet.
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Is 10 an even number?
Yes, 10 is an even number because 10 is completely divisible by 2 that's why it is an even number.10 modulo 2 equals zero.
let's first try to understand what are numbers.
A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that use digits or symbols to represent them. the system of numbers
a helpful collection of numbers
that reflects the number's algebraic and mathematical structure.
offers a common depiction.
Even numbers An even number is any number that can be divided by 2 precisely. The last digit of an even number is always one of the following: 0, 2, 4, 6, or 8. Even numbers can include 2, 4, 6, 8, 10, 12, and 14.
So 10 is an even number.
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HELP BRAINLIEST FOR FASTEST AND CORRECT NO NEED TO EXPLAIN
Answer:
The answer is 48
Step-by-step explanation:
Answer:
48 students
4*12=48
How do the angles and sides of the outline correspond to the angles and sides of the original triangle?
The Angles and sides of the outline correspond to the angles and sides of the original triangle is done as below.
What are corresponding sides and angles?Corresponding sides and angles are a pair of matching angles or sides that are in the same spot in two different shapes.
Given:
For Corresponding Angle
The same two angle pairs are touched by corresponding sides. When the sides are equivalent, you can multiply each side by the same value to move from one triangle to another. The corresponding sides of the triangles in the similar triangles diagram are the same colour.
Form Corresponding Side
If two triangles are similar and have sides A, B, C and a, b, c, respectively, then the pair of corresponding sides are proportional,
i.e., A : a = B : b = C : c.
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Help ASAP!!!!
Which of the following statements is NOT true?
Just look in the screenshot. :) And whoever helps me ty, the points will be 30!
The Triangle Similar to ΔABC is ΔDEF in which m <E = 80 and m <F = 35.
The Correct option is (A).
What is Angle Sum PropertyAccording to the triangle's "angle sum property," a triangle's interior angles add up to 180°.
What is Similarity of Triangles?If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.
Given:
In ABC, m<A= 65 and m<B= 80
Now, using Angle sum Property
m<A + m <B + m <C = 180
65+ 80 + m<C= 180
m <C = 180 - 145
m <C = 35
So, the similar Triangle will be DEF in which m <E = 80 and m <F = 35.
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Bridget says that when a standard number cube is rolled getting an even number is an outcome. Uma says that getting an even number is an event. Who is correct? Explain
Uma is correct, because getting an even number is an event.
What is Probability?The term probability refers to the likelihood of an event occurring.
Given that;
Bridget says that when a standard number cube is rolled getting an even number is an outcome.
And, Uma says that getting an even number is an event.
Now,
We know that;
When a standard number cube is rolled then getting an even number is an event.
Hence, Uma statement is correct.
Thus, Uma is correct, because getting an even number is an event.
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Captain Kevin has a ship, the H. M. S. Khan. The ship is two furlongs from the dread pirate Ben and his merciless band of thieves. The Captain has probability \dfrac{3}{5} 5 3 of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability \dfrac{1}{5} 5 1 . If both fire their cannons at the same time, what is the probability that the Captain hits the pirate ship, but the pirate misses?
Probability that the Captain does NOT hit the pirate's ship × Probability that the pirate hits the Captain's ship = (2/5) × (1/5) = (2/25) = 0.08
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true.
The probability that the pirate hits the Captain's ship, but the Captain misses
= 2/25) = 0.08
P(C) = (3/5) is the likelihood that the captain will strike the pirate ship.
P(C') = 1 - (3/5) = (2/5) is the probability that the captain will miss the pirate ship.
P(p) = (1/5) is the likelihood that the pirate will sink the captain's vessel.
P(p') = 1 - (1/5) = (4/5) is the probability that the pirate will miss the captain's ship.
The likelihood that the pirate will hit the captain's ship while the captain misses is increased if they both fire their cannons at the same moment.
P(C' n p) is he needed probability.
P(C' n p) = P(C') P since the two events are independent of one another (p) The likelihood that the pirate will sink the captain's vessel but that the capain will miss = (Chance that the Captain misses the pirate's ship) (Chance that the pirate hits the Captain's ship) = (2/5) × (1/5) = (2/25) = 0.08
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Ill MARK AS BRAINLIEST(show how you solved the 2 parts :>
Mrs Lim has sponsored a total of 105 hot dogs and 126 cans of fruit juice for the refreshment of a classic picnic. Each student will receive the same amount of refreshment.
a) what is the greatest number of students who will get the refreshment ?
b) how many hot dogs will each student get?
C) how many fruit juices wil each student get
a) The greatest number of students who will get the refreshment is 210.
b) Each student will get 0.5 hot dogs.
c) Each student will get 0.6 cans of fruit juice.
a) To find the greatest number of students who will get the refreshment , we need to find the least common multiple of hot dogs and fruit juice.
The least common multiple is 210, which is the multiple of 105, and 126 is the least.
So the greatest number of students who will get the refreshment is 210.
b) To find the number of hot dogs each student will receive, we need to divide the total number of hot dogs (105) by the greatest number of students who will get the refreshment (210)
105/210 = 0.5
So each student will get 0.5 hot dogs.
c) To find the number of fruit juices each student will receive, we need to divide the total number of fruit juice (126) by the greatest number of students who will get the refreshment (210)
126/210 = 0.6
So each student will get 0.6 cans of fruit juice.
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WHAT IS 10000-22 CAN ANYONE HELP
Answer:
9978
Step-by-step explanation:
10000 - 22 = 9978
9978 is the answer
Answer: 9978
Step-by-step explanation:
Stack the numbers up like this 10000
22
borrow from the one make the zero a ten, and then borrow from that to make the next one and make it a nine and then do it to the last one and subtract. Hope this makes sense
11. A. Four times a breadth of the room is equal to 3 times the length. If the breadth had been
1 meter more and the length 1 meter less the room would have been a square. Find the
dimension of room.
The length of the rectangle is 3l/4, and the breadth of the rectangle is s = 3l/4
Let's call the original breadth of the rectangle "b" and the original length of the rectangle "l". From the information given, we know that:
4b = 3l
We also know that when the breadth is increased by 1m and the length is reduced by 1m, the rectangle becomes a square. Therefore, the new breadth and new length are equal. Let's call the new breadth and length "s".
s = b + 1 = l - 1
We can substitute the first equation into the second equation to get:
s = b + 1 = (3l/4) - 1
Now we can solve for s:
s = b + 1m = (3l/4) - 1m
s = (3l/4) - 1m + 1m = (3l/4) = l - 1m
Now we can substitute this back into the first equation:
4b = 3(l - 1m)
We can now solve for b:
4b = 3l - 3m
b = (3l/4) - (3m/4)
Therefore, the original breadth of the rectangle was (3l/4) - (3m/4) and the original length was 3l/4.
We can find the value of length and breadth by substituting the value of s in the first equation
4s = 3l
s = 3l/4
So, the length of the rectangle is 3l/4, and the breadth of the rectangle is s = 3l/4
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Which transformation on triangle XYZ results in a triangle that is similar, but not congruent, to triangle XYZ?
A. a translation 3 units to the right
B. a reflection across the line y = - 2x + 3
C. a rotation 90° clockwise around the origin
D. a dilation centered at the origin with a scale factor of
Answer: Choice D
Step-by-step explanation: A dilation would result in a similar triangle because multiplying by the scale factor will create proportional sides. However, this will change the size of the triangle, making it not congruent.
Answer:
D.
Step-by-step explanation:
Congruent means that the triangles are exactly the same in shape and size.
Dilating the triangle is the only answer that will change its size.
The number of views on a viral video can be modeled by the function
G(t) = 2500(5) 2-4. Write an equivalent function of the form G(t) = ab.
The equivalent expression would be; function G(t) = 86,400•3^t
What is a function in simple definition?
A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range.
The number of views on a viral video can be modeled by the function
G(t) = 2500(5) 2-4.
we have to find out an equivalent function of the form G(t) = ab.
Here, we want to make a transformation
From what we have;
G(t) = 2500(5)^(t - 4)
From indices, we know that;
x^(a + b) = x^a•x^b
Thus, we have it that;
G(t) = 2500•3^t•3^2
G(t) = (9 * 9600) * 3^t
G(t) = 86,400•3^t
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help please!! this is for tonight, I don't know how to use the "undefined" please help
The equation of the line in slope-intercept form, with the point (4, -5) and an undefined rate of change is x = 4.
What is the slope-intercept form?Mathematically, the slope-intercept form of a line can be calculated by using this equation:
y = mx + c
Where:
m represents the slope or rate of change.x and y represents the data points.c represents the y-intercept.In Mathematics, any line that has an undefined slope (rate of change) is a vertical line because it does not have a y-intercept. This ultimately implies that, a vertical line that is parallel to the y-coordinate (y-axis) would have an undefined slope (rate of change).
Generally speaking, the equation of a line that has an undefined slope (rate of change) is given by this mathematical expression;
x = a
Where:
a represents the x-intercept.
At point (4, -5), the required equation with an undefined slope (rate of change) is x = 4.
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Layla leans a 26-foot ladder against a wall so that it forms an angle of 61° with the
ground. How high up the wall does the ladder reach? Round your answer to the
nearest tenth of a foot if necessary.
Step-by-step explanation:
Calculate the approximate value: 26 x 0.87462
Calculate: 22.74012
Round 22.74012 to the required place
Answer:22.7
Hope this helps
In a certain city, the mean household annual income is $45,000 with a standard deviation of $6,000.
Suppose a certain household has an annual income with a z-score of 1.5. What is their annual income?
The annual income of a certain household that has a z-score of 1.5, is 80,000.
What is z-score?The relationship between a value and a group of values' mean is described statistically by the Z-score. Standard deviations from the mean serve as the unit of measurement for Z-score. The score for a data point is equal to the mean score if the Z-score is 0. A value that deviates by one standard deviation from the mean is indicated by a Z-score of 1.0.
Z-scores can either be positive or negative, with a positive value indicating that the score is above the mean and a negative value indicating that the score is below the mean. Z-scores are measurements of an instrument's variability used in investing and trading that traders can use to estimate volatility.
Let the annual income be x.
x has μ = 50000, σ = 20000
We know that for given x, z = (x−μ)/σ
Given that z - score = 1.5
Substituting the values we get
⇒ 1.5 = (x−50000)/20000
⇒ 1.5 × 20000 = x−50000
⇒ 30000 = x − 50000
⇒ x = 30000 + 50000
⇒ x = 80,000
Thus, The annual income of a certain household that has a z-score of 1.5, is 80,000.
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can anyone solve it use translation if found necessary.
On solving the provided, we can say that - here in graphs by solving the equation - [tex]x^2 + y^2 = > 2^2 = > 4[/tex]
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
here from graph,
x= 0
and y = 2
so, in equation
[tex]x^2 + y^2 \\2^2\\4\\[/tex]
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Which description represents this equation? 7x-2=33
Answer:
Step-by-step explanation:
pull up in a monsta automobile gangsta
Answer:
7x = 33+2
7x = 35
x = 5
Step-by-step explanation:
A SIMPLE EQUATION