Acute triangles are those that have all of their angles less than 90 degrees. Obtuse triangles are those that have one angle greater than 90 degrees.A right triangle is one that has a 90-degree angle
In a triangle, three line segments join at their endpoints to form three angles. The sum of the three interior angles of a triangle is always 180 degrees. The lengths of the three sides of a triangle classify them as acute, obtuse, or right triangles. This is because the three sides, when combined with the angles, provide a complete description of the triangle.
The following are the classifications of the triangles:
Acute triangles are those that have all of their angles less than 90 degrees. An acute triangle is a triangle with all three angles smaller than 90 degrees (acute angles). An acute triangle's sides are all less than the diameter of the circumcircle.
Obtuse triangles are those that have one angle greater than 90 degrees. An obtuse triangle is a triangle with one angle that is greater than 90 degrees (obtuse angle). A triangle whose sides are all longer than the diameter of the circumcircle is referred to as an obtuse triangle.
A right triangle is one that has a 90-degree angle. In a right triangle, the side opposite the right angle is called the hypotenuse, and the other two sides are called the legs. A right triangle has two legs and one hypotenuse. The Pythagorean Theorem, which states that the sum of the squares of the two legs is equal to the square of the hypotenuse, is essential for solving right triangle problems.
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Assume that a sample is used to estimate a population proportion p. Find the margin of error M. E. That corresponds to a sample of size 279 with 24% successes at a confidence level of 99%
the margin of error M. E. That corresponds to a sample of size 279 with 24% successes at a confidence level of 99% is approximately 0.0608, or 6.08%
To find the margin of error (M.E.) for a sample proportion, we can use the following formula:
M.E. = z × √(p × (1-p))/n
where:
z is the z-score corresponding to the desired confidence level
p is the sample proportion
n is the sample size
In this case, we are given:
n = 279 (sample size)
p = 0.24 (sample proportion)
Confidence level = 99%
To find the z-score for a 99% confidence level, we can use a standard normal distribution table or calculator. The z-score for a 99% confidence level is approximately 2.576.
Substituting these values into the formula, we get:
M.E. = 2.576 × √(0.24 × (1-0.24))/279
M.E. ≈ 0.0608
Therefore, the margin of error is approximately 0.0608, or 6.08%. This means that we can be 99% confident that the true population proportion is within 6.08% of the sample proportion (i.e., between 0.24 - 0.0608 = 0.1792 and 0.24 + 0.0608 = 0.3008).
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Idk sooo please help
Answer:
20 points
Step-by-step explanation:
Points:
21, 13, 14 and x for the last gameAverage:
(21+13+14+x) / 4 = 1748 + x = 4*1748 + x = 68x = 68 - 48x = 20They must score 20 points
what is the correct equation of the line shown at the right?
Answer:
F
Step-by-step explanation:
rise/run is 3/2 which is the number before the x and the y intercept (the last number in the equation) is 3
prove that the ideals (x), (y), and (x, y) are prime in q[x, y].
The ideals (x), (y), and (x, y) in q[x, y] are prime. The proof involves showing that the quotient ring q[x, y]/(x), q[x, y]/(y), and q[x, y]/(x, y) are integral domains, which indicates that the ideals are prime.
To prove that the ideals (x), (y), and (x, y) are prime in q[x, y], we consider the quotient rings q[x, y]/(x), q[x, y]/(y), and q[x, y]/(x, y).
For each quotient ring, we need to show that it is an integral domain, meaning it has no zero divisors. This can be done by verifying that any nonzero elements in the quotient rings cannot multiply to give zero.
In the case of q[x, y]/(x), any nonzero element in the form f(x, y) + (x) where f(x, y) is not divisible by x, cannot multiply with another nonzero element to give zero.
Similarly, in q[x, y]/(y) and q[x, y]/(x, y), nonzero elements in the respective forms f(x, y) + (y) and f(x, y) + (x, y) where f(x, y) is not divisible by y or (x, y) respectively, cannot multiply to give zero.
Since all three quotient rings are integral domains, the ideals (x), (y), and (x, y) are prime in q[x, y].
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point P was rotated about the origin (0,0) by 60 degrees
Answer:
the answer is c.
Step-by-step explanation:
100cm/1m = x/7.2m what is itttt
Answer:
there are 720 cm in 7.2 meters
Step-by-step explanation:
11. Tay wants to purchase a new cell phone and change her service provider to WestCell. She can
either buy the phone through WestCell or purchase the phone on her own at an electronics store
or website. If she buys the phone through WestCell, they are offering her a reduced price in
which they subsidize the difference between the discounted and regular price of the phone. She
will also need to purchase the service plan through them. If she buys the phone on her own, she
will then need to shop around for a service plan provider. Tay found the following information
on both types of plans for the latest version of a smart phone she wishes to purchase:
Subsidized by WestCell: $250 for the phone plus $80 per month for unlimited talk and text
and 3 GB of data.
Unsubsidized: $700 for the phone purchased at Great Buy plus a monthly $60 service plan
through the provider RingZ for unlimited talk and text and 3 GB of data.
Create an average cost rational function for each possibility. Graph the functions and interpret
the intersection point.
Answer: 250
Step-by-step explanation:
if a cylinder has a volume of 99 cubic centimeters , what is the volume of a cone with the same dimensions
Answer:
900
Step-by-step explanation:
How do you write 143% as a decimal
Answer:
1.43
Step-by-step explanation:
1.43 or 1 43/100 turned into a percent is 143%
Answer:
1.43 because 1 = 100 percent and the 43 is your 43 remaining
fraction numerator 4 x over denominator 6 end fraction less than 2 space space space space space space A N D space space space space space 8 minus x over 5 greater or equal than 9
The solution for the inequality is \(\( x \leq -37 \).\)
To solve the inequality:
\(\( \frac{4x}{6} < 2 \quad \text{AND} \quad \frac{8-x}{5} \geq 9 \)\)
1. Solving the first inequality:
4x/6 < 2
6 (4x/6) < 2 (6)
4x < 12
Divide both sides by 4:
4x/4 < 12/4
x < 3
So, the solution for the first inequality is x < 3 .
2. \(\(\frac{8-x}{5} \geq 9 \)\)
Multiply both sides of the inequality by 5
\(\( 5 \cdot \frac{8-x}{5} \geq 5 \cdot 9 \)\)
8 - x \(\geq\) 45
Add x to both sides:
8 \(\geq\) 45 + x
Subtract 45 from both sides:
8 - 45 \(\geq\) 45 + x - 45
-37 \(\geq\) x
So, the solution for the second inequality is \(\( x \leq -37 \).\)
Combining the solutions:
\(\( x < 3 \) and \( x \leq -37 \).\)
Since \(\( x \leq -37 \)\) already implies x < 3 , we can simply use \(\( x \leq -37 \)\)as the solution.
Therefore, the solution for the inequality is \(\( x \leq -37 \)\).
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The question attached here seems to be incomplete or inappropriate, the complete or correct question is
Solve the inequality: \(\( \frac{4x}{6} < 2 \quad \text{AND} \quad \frac{8-x}{5} \geq 9 \)\)
what is the shortest possible length of the line segment that is cut off by the first quadrant and is tangent to the curve y
The shortest possible length of the line segment cut off by the first quadrant and tangent to the curve y = f(x) is the distance between the origin and the point of tangency.
Consider a curve y = f(x) that passes through the origin and lies entirely in the first quadrant. Let P = (a, f(a)) be a point on the curve where the tangent line at P is parallel to the x-axis. Then, the line segment cut off by the first quadrant and tangent to the curve at P is the line segment from the origin to P.
Since the tangent line at P is parallel to the x-axis, its slope is zero. The slope of the tangent line at P is also equal to the derivative of the curve at a, f'(a). Therefore, we have:
f'(a) = 0
This implies that a is a critical point of the curve, which means that either f'(a) does not exist or f'(a) = 0. Since the curve lies entirely in the first quadrant and passes through the origin, we must have f(0) = 0 and f'(0) > 0.
If f'(a) = 0, then P = (a, f(a)) is a point of inflection of the curve, and the tangent line at P is horizontal. In this case, the line segment from the origin to P is simply the y-coordinate of P, which is f(a).
If f'(a) does not exist, then P is a corner point of the curve, and the tangent line at P is vertical. In this case, the line segment from the origin to P is simply the x-coordinate of P, which is a.
Therefore, the shortest possible length of the line segment cut off by the first quadrant and tangent to the curve at P is given by the distance between the origin and P, which is either f(a) or a, depending on whether P is a point of inflection or a corner point.
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Luke's parents hired a clown for his birthday party. The clown charges $100 plus an
additional $20 per hour. If h represents the hours, which expression represents how
much Luke's parents spent on the clown?
20h + 100
h
100 +
20
100h + 20
100 + h
Answer:
100+20h
Step-by-step explanation:
100 is fee plus 20h which is 20 per hour
Gary used to make bottles of glitter glue.
Bottles Glue Glitter
1 3.8 1.9
4
How much glue and glitter would he need to make 4 bottles?
Gary would need 15.2 oz glue and 3.8 oz of glitter to make 4 bottles.
Gary would need 6.8 oz glue and 4.9 oz of glitter to make 4 bottles.
Gary would need 7.8 oz glue and 5.9 oz of glitter to make 4 bottles.
Gary would need 15.2 oz glue and 7.6 oz of glitter to make 4 bottles.
Gary would need 15.2 oz of glue and 7.6 oz of glitter to make 4 bottles.
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Bottles Glue Glitter
1 3.8 1.9
This means,
1 bottle = 3.8 oz of glue and 1.9 oz of glitter
Now,
1 bottle = 3.8 oz of glue
Multiply 4 on both sides.
4 bottle = 4 x 3.8 oz
4 bottle = 15.2 oz
1 bottle = 1.9 oz of glitter
Multiply 4 on both sides.
4 bottle = 7.6 oz
Thus,
15.2 oz of glue and 7.6 oz of glitter to make 4 bottles.
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Evaluate 2^−4/4^0. Write your answer as a fraction in simplest form.
Answer 1/16
Step-by-step explanation:
= 2^-4 / 1
= 2^-4
=1/2^4
=1/16
The simplest form of the given equation 2⁻⁴/4⁰ is 1/16.
What is simplification?A mathematical expression is simplified when it is replaced with a simpler, typically shorter, equivalent statement. Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.
Given an expression 2⁻⁴/4⁰
simplifying it
=> 2⁻⁴/1
=> 1/ 2⁴
=> 1/16
therefore, the simplest form of the given equation is 1/16.
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create an expression that is equivalent to 9(3× + 5 + ×) without using parentheses
Answer: After solving the given expression, the equivalent expression will be 36x + 45.
Step-by-step explanation: sorry if wrong
At a sale, dresses were sold for $144 each. If the dresses originally cost $200 each, what percentage of its original price was a dress sold for?
Answer:
72%
Step-by-step explanation:
Percentage of original price = (Selling Price/Cost Price) x 100%
= ($144/200) x 100%
= ($0.72) x 100%
= 72%
-4 = BLANK - 9 what is BLANK
Answer:
5
Step-by-step explanation:
Let be blank be a
-4=a-9
-4+9=a
9-4=a
a=5
Proof:
-4=a-9
-4=5-9
-4=-4
Hope this helps ;) ❤❤❤
The value of BLANK in the given expression is 5.
To solve the equation "-4 = BLANK - 9",
Isolate the variable on one side of the equation.
To do this, we can add 9 to both sides of the equation:
-4 + 9 = BLANK - 9 + 9
This simplifies to:
5 = BLANK
So the value of BLANK is 5.
To solve the equation "-4 = BLANK - 9",
We can add 9 to both sides of the equation to isolate the variable.
This gives us the solution of BLANK = 5.
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what is the slope of the line?
6) The population of rats doubles every 8 months. If there were 23 rats to start how many
would there be after 32 months?
Answer:
736
Step-by-step explanation:
Answer:
368 rats
Step-by-step explanation:
First, you find how many times the population doubles. 32/8 = 4, so the population doubles 4 times.
So, the number of rats = 23 * (2^4) = 368
Or, instead of using exponents, you can double the population four times separately.
23 * 2 = 46
46 * 2 = 92
92 * 2 = 184
184 * 2 = 368 rats
P.S. Please give me brainliest, I need it to rank up.
The table below shows some inputs and outputs of the invertible function f with domain all real numbers.
5 3
f(x) 9 -2
x
1 18 0 9
-5
-1 1 11
Find the following values:
f¹(-2)=[
f(1) =[
by the inverse function definition, we will have that:
f⁻¹(-2) = 3f⁻¹(1) = 0How to find the values of the inverse function?Remember that, by definition, for an invertible function f(x) we have that:
f(x) = y
then:
f⁻¹(y) = x
Where f⁻¹(x) is the inverse function of f(x).
Now, we want to find:
f⁻¹(-2) and f⁻¹(1)
If you look at the given table, we can see that we have the points (3, -2) and (0, 1), which means that:
f(3)= -2
f(0) = 1
Then, by the inverse function definition, we will have that:
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if 9:x=36:20, What is the value of x
Answer:
x = 5
Step-by-step explanation:
Expressing the ratio in fractional form , that is
\(\frac{9}{x}\) = \(\frac{36}{20}\) ( cross- multiply )
36x = 180 ( divide both sides by 36 )
x = 5
PLEASE HELP
What is the length of the unknown side?
A. 5.5 cm
B. 6 cm
C. 7.5 cm
D. 8 cm
Answer:
my best guess would be 5.5cm, if you get that wrong, try 6cm. hope you have a wonderful day! you are beautiful!
1/7+ 2 4/7
Help help now
Answer:
2 5/7
Step-by-step explanation:
Select all the unique triangles that can be drawn to only have angle measures 40° and 100° and side length 3.
Answer:
None
Explanation:
A unique triangle can be defined as a triangle that can be formed in one way.
The various conditions that a triangle must satisfy so that it is unique :
a) A triangle where the length of the three sides is known or given is a unique triangle.
b) A triangle where two side lengths and their included angle is given is a unique triangle.
c) A triangle where two angles and their included side is given is a unique triangle.
d) A triangle where two angles and a non - included side length is known is a unique triangle.
In the above question, we are given angles 40°, 40° and 100 degrees
3 angles are known, no side length is given. The angles above can form a triangle called the obtuse triangle because their sum = 180° and one of the angles is great we than 90°
However, this does not satisfy the criteria that makes a triangle unique.
Therefore, no unique triangle(s) can be drawn with interior angles measuring 40°, 40°, and 100°.
three men, bob, john and steven, working together do a job in 6 hours less time than bob alone, in 1 hour less time than john alone, and in one half the time needed by steven, when working alone. how many hours would bob and john working together take to do the job?
Bob and John working together would take 4 hours to do the job.
1. Let's assume that Bob takes x hours to complete the job alone.
2. John would take x + 1 hour to complete the job alone, since it takes him 1 hour longer than Bob.
3. Steven would take 2x hours to complete the job alone, since it takes him twice as long as Bob.
4. Together, Bob, John, and Steven take x - 6 hours to complete the job, since it takes them 6 hours less than Bob alone.
5. Combining the information, we have the equation x - 6 = (x + 1) / 2.
6. Solving for x, we find that x = 14.
7. Therefore, Bob and John working together would take 14 + 1 = 15 hours to do the job.
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pls solve this question!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The value of the given sine function is √3/2, so the correct option is 2nd.
Given that an function Sin (-5π/3) we need to evaluate the expression,
To evaluate the trigonometric function sine of the angle (-5π/3), we can use the periodicity of the sine function.
Since the sine function has a period of 2, the sine of any given angle is equal to the sine of that angle plus or minus any multiple of 2.
To find an equal angle inside the main range (between -π and π), we can add 2 to the angle (-5/3).
Once adding 2:
(-5π/3) + 2π = (-5π/3) + (6π/3) = π/3
Now we can evaluate the sine of π/3, which is a commonly known angle. The sine of π/3 is √3/2.
Therefore, sin(-5π/3) = sin(π/3) = √3/2.
Hence the correct option is √3/2
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Pour l'Halloween, Caroline dispose de 800 bonbons. Elle prépare 100 sacs de 6 bonbons chacun. Elle sépare ensuite
le reste des bonbons en 8paquets égaux pour les donner à ses neveux et nièces.
Combien de bonbons Caroline donnera-t-elle à chacun de ses neveux et nièces ? Écris ta
réponse à l'aide du clavier.
Answer:
chaque nièce ou neveu recevra 25 bonbons
Step-by-step explanation:
6*100=600
800-600=200
200/8=25
An online video game rental site has a Frequent Gamers Plan. It costs $30 to join and each video game rental for members costs $2. Non-members pay a rental fee of $3.50 per rental. For what number of rentals would both plans cost the same amount?
The number of rentals would be 20 so that both plans cost the same amount.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
It costs $30 to join and each video game rental for members costs $2.
Non-members pay a rental fee of $3.50 per rental.
let the number of rentals they both pay same amount be x.
So, 30 + 2x = 3.5x
30 = 3.5x - 2x
30 = 1.5x
x= 30/1.5
x = 20
Hence, number of rentals should be 20.
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The ratio of girls to boys is 3:5 . If there are 15 boys in the classroom, how students are there total?
Answer:
there are 15 boys and 9 girls, therefore, there are 24 students in total
Step-by-step explanation:
there would be a total of 24 students
2) Rachel wanted to drink exactly three bottles of water each day, so she bought twenty-six
bottles when they were on sale. How many more bottles will she need to buy on the last
day?
Answer:
1
Step-by-step explanation:
Twenty-Six is not a multiple of three so you know it won't be 26. Counting by threes goes 3, 6, 9, 12, 15, 18, 21, 24, 27, 30. Twenty-seven is the closest number to 26 which is higher than 26. Twenty-six + 1 = 27. That means that 1 is the answer.
Answer:
1 bottles and the last day