Answers
The only way to really tell is to check it with the Pythagorean Theorem.
The Pythagorean Theorem describes every right triangle, and every triangle that fits the Pythagorean Theorem has a right angle in it. Guaranteed. This is incredibly handy.
If this IS a right triangle, then
(one leg squared) + (the other leg squared) = (the hypotenuse squared) .
Let's check it out:
-- One leg squared = (11 cm)² . That's 121 cm² .
-- The other leg squared = (√99 cm)² . That's 99 cm² .
-- Their sum is (121 + 99) cm² . That's 220 cm² .
-- The hypotenuse squared is (15 cm)² . That's 225 cm² .
Is 220 cm² equal to 225 cm² ?
NO ! They are not equal. They are different !
The sum of the squares of the legs is NOT equal to the square of the hippopotamus.
==> This triangle does NOT fit the Pythagorean Theorem.
==> It is NOT a right triangle.
(The angle in the bottom corner is slightly bigger than 90°. But you can't tell by looking at it. It's so close that you can only tell by checkoing the lengths againt the Pythagorean Theorem.)
Related Questions
1. Which of the
following
most accurately describes the
translation of the graph from
y = x² to y = (x - 2)² +1?
Answers
The translation of the graph from y = x² to y = (x - 2)² +1 is describe by - B. shift of 2 units left and then shift of 1 unit up.
Explain about the translations:In geometry, a translation is a transfer that occurs either horizontally to a left or right as well as vertically up or down. It may also consist of a mix of the two.
In mathematics, a translation moves an object throughout the coordinate plane while preserving its dimensions and shape. After a translation, its area and orientation remain unchanged.A vertical shift, horizontal shift, or indeed a combination of the two can be referred to as a translation in mathematics.Given data:
Parent function- y = x²
New function - y = (x - 2)² +1
First there is a shift of 2 units to the left as 2 is subtracted from x value.Now, there is shift of 1 unit upward, as 1 is added to the function.Thus, the translation of the graph from y = x² to y = (x - 2)² +1 is describe by - B. shift of 2 units left and then shift of 1 unit up.
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Complete question:
1. Which of the following most accurately describes the translation of the graph from y = x² to y = (x - 2)² +1?
A. shift of 2 units right and then shift of 1 unit up.
B. shift of 2 units left and then shift of 1 unit up.
1)
A group of twenty learners from Thabo secondary Vaal Gauteng, were selected
to participate in soccer tournament. The learners wanted to raise funds to help
pay for the trip, they decided to sell pens, the learn calculated that they need
R40 to start they fund raising venture the amount will be used for advertising
and other expenses the cost price of each pen was R2 each learner donated R12
for the starting up the business
4. 1) determine the total amount of money donated to start them business?
(2)
4. 2) calculate the value of A&B using the information given in the table
Show all the calculations
Number of o
10
5
25
of
15
B
Answers
Answer:
??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Step-by-step explanation:
Which two expressions are equivalent?
a.) 2a and 9/3 (a)
b.) 5a and 3(2a)
c.) 4a - 2a and a+a
d.). 4a - a and 1+1+1+a
Answers
Answer:
C) 4a-2a=a+a
Step-by-step explanation:
4a-2a=2a
2a=a+a
2a=2a
answer:
option c is correct!
explanation:
hope this helped! <3 i answered your question & hope you have a great day! if you wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)
Dati gli insiemi A(1,2,3,4,5) B(3,4,5,6,7) C(2,4,6,8) calcola il risultato della seguente espressione: (A∩B)∩C
Answers
Answer:
(4)
Step-by-step explanation:
L'intersezione si occupa di elementi comuni
segno per intersezione = ∩
A = (1,2,3,4,5)
B = (3,4,5,6,7)
C = (2,4,6,8)
(A∩B)∩C
(A∩B) = (3, 4, 5)
(A∩B)∩C = (4)
Suppose you have 20 coins that total $3.00. Some coins are nickels and some are quarters. Which of the following pairs of equations would you use to find out how many of each coin you have?
Answers
Answer:
Step-by-step explanation:
n + q = 20
.05n + .25q = 3.00
5n + 25q = 300
n + q = 20
5n + 25q = 300
-5n - 5q = -100
20q = 200
q = 10 quarters
n + 10 = 20
n = 10 nickels
(10 nickels, 10 quarters)
for which a does [infinity]∑n=2 1/n(1n n)a converge? justify your answer.
Answers
The series ∑(from n = 2 to infinity) 1/n^(1/n^a) converges only when "a" is greater than 1.
To determine the values of "a" for which the series ∑(from n = 2 to infinity) 1/n^(1/n^a) converges, apply the limit comparison test with the harmonic series.
Let's consider the harmonic series ∑(from n = 1 to infinity) 1/n, which is a well-known divergent series.
compare the given series with the harmonic series by taking the limit as n approaches infinity of the ratio of the nth term of the given series to the nth term of the harmonic series:
lim(n→∞) [1/n^(1/n^a)] / [1/n]
To simplify the expression, rewrite the ratio as follows:
lim(n→∞) n / n^(1/n^a)
Now, let's consider the exponent in the denominator, which is 1/n^a. As n approaches infinity, the exponent approaches zero since 1/n^a will become very large and tend to infinity.
Therefore, we have:
lim(n→∞) n / n^(1/n^a) = lim(n→∞) n / n^0 = lim(n→∞) n / 1 = ∞
Since the limit of the ratio is infinity, it means that the given series behaves similarly to the harmonic series. Therefore, if the harmonic series diverges, the given series will also diverge.
The harmonic series diverges when the exponent "a" is equal to or less than 1.
Hence, the series ∑(from n = 2 to infinity) 1/n^(1/n^a) converges only when "a" is greater than 1.
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please answer the 2nd part only
7. Rationalise the denominator (i) (ii) 4√3+5√2 4√3+3√√2 √2 √2+√3-√5
Answers
To rationalize the denominator of an expression, multiply both the numerator and denominator by the conjugate of the denominator, which eliminates the square root terms in the denominator and leads to a rationalized expression.
(i) To rationalize the denominator of the expression 4√3+5√2, multiply both the numerator and denominator by the conjugate of the denominator, which is 4√3-5√2. This will eliminate the square root terms in the denominator, resulting in a rationalized expression.
(ii) Rationalizing the denominator of 4√3+3√√2 involves multiplying both the numerator and denominator by the conjugate of the denominator, which is 4√3-3√√2. This will eliminate the square root term in the denominator, allowing us to simplify the expression.
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The temperature is -3°C. As the day progresses, the temperature increases by 8°C, then drops by 6°C. Find the final temperature.
Answers
We know that the initial temperature is -3 then it rises to 8 and drops by 6 degrees then you just need to subtract six from 8 \(\displaystyle\ 8-6=2^\circ \\\\Answer: the\ secondary\ temperature \ will \ be equal \ to \ 2^\circ\)
if a dog can eat one thirds of a bag of food in 1/2 a week how many bags of food can the dog eat in one week
Answers
Answer:
Two thirds of a bag.
Step-by-step explanation:
1/2 * 2 = 1
1/3 * 2 = 2/3
Hope this helped!
50 PTS 2. Consider the following line plot.
(a) What is the general trend of the graph?
(b) What is the median of the data? Explain.
(c) What is the mean of the data? Explain.
(d) Would the mean or median be affected more with a data point of 20? Explain.
Answers
Answer:
Picture so I can solve it
What is the value of (1/4) 3
Answers
Step-by-step explanation:
raise 1³ and 4³:
1×1×1 = 1 and 4×4×4 = 64
so the result is 1/64
Evaluate Sigma 5 n=1 3(-2)^n-1
Answer choices
-93
-33
33
93
Answers
Answer:
93
Step-by-step explanation:
the answer is 93 no -93 i think so
Someone Please help me..What must the value of x be in order for the figures below to be similar?
Answers
Answer:
16 cm
Step-by-step explanation:
x+x
8+8
16 cm
therefore 16 cm must be the value of x be in order for the figures below to be similar
A survey asked the question "What do you think is the ideal number of children for a family to have?" The 550 females who responded had a median of 2, mean of 3.05: and standard deviation of 1.56. Answer parts a-d. What is the point estimate of the population mean? Find the standard error of the sample mean. standard error = (Round to three decimal places as needed.) The 95% confidence interval is (2.92, 3.18). Interpret. We can be 95% confident that the proportion of females who want children is between 2.92 and 3.18. Ninety-five percent of females want between 2.92 and 3.18 children. We can be 95% confident that a given female will want between 2.92 and 3.18 children. We can be 95% confident that the mean number of children that females would like to have is between 2.92 and 3.18. Is it plausible that the population mean fi = 2? Yes: because the median is 2. No, because the sample mean was not 2. No, because 2 falls outside the confidence interval. Yes, because 2 falls outside the confidence interval.
Answers
The point estimate of the population mean for the ideal number of children is 3.05.
The point estimate of the population mean is obtained from the sample mean, which in this case is 3.05. The sample mean is calculated by summing up all the values and dividing by the total number of observations. Since the survey had 550 female respondents, the sample mean of 3.05 is the average number of children these women consider to be ideal.
The standard error of the sample mean measures the variability of sample means that we could expect if we were to take repeated samples from the same population. It is calculated by dividing the standard deviation by the square root of the sample size. In this case, the standard deviation is given as 1.56, and the sample size is 550. Therefore, we can calculate the standard error as follows:
Standard Error = 1.56 / √550 ≈ 0.066 (rounded to three decimal places)
The 95% confidence interval provides a range of values within which we can be 95% confident that the population mean falls. In this case, the 95% confidence interval is (2.92, 3.18). This means that we can be 95% confident that the mean number of children that females would like to have is between 2.92 and 3.18.
Therefore, the correct interpretation of the confidence interval is: "We can be 95% confident that the mean number of children that females would like to have is between 2.92 and 3.18."
As for whether it is plausible that the population mean is 2, the answer is "No, because 2 falls outside the confidence interval." The confidence interval (2.92, 3.18) does not include the value 2, indicating that it is unlikely for the population mean to be 2.
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Please someone help me
Answers
Answer:
#1
Step-by-step explanation:
because 10x-2x only contains 2 terms: (10x and -2x)
while #2 contains 3 terms: 10x-3y+2x which contains 3 (10x, -3y, and 2x)
hope that helps :)
y = x2 – 3x - 4y = 2x + 10Which of the following ordered pairs (x,y) is a solution to the system of equations above?
Answers
This question is a simultaneous equation having a quadratiic equation above and a linear equation below.
substitute the value of y in equation 2 for y in equation 1
recall y = 2x + 10 ( equation 2 )
2x + 10 = x2 - 3x -4 ( since y = 2x + 10 )
\(\begin{gathered} x^2\text{ - 3x -2x -4 -10 = 0 ( collecting all to the left side ) } \\ x^2\text{ - 5x -14 = 0 ( a quadratic equation emerge ) } \\ (x^2\text{ + 2x ) - ( 7x - 14 ) = 0 ( since -5x = +2x -7x ) } \\ x\text{ ( x + 2 ) - 7 ( x + 2 ) = 0 ( factorising ) } \\ \text{therefore ( x + 2 ) ( X - 7 ) = 0 ( factorised ) } \\ \text{Therefore the solution for x, is }x+\text{ 2 = 0 or x - 7 = 0} \\ \text{Hence, x = -2 or x = 7 } \end{gathered}\)Having gotten the two values of x, we see that -2 is in the x position in the options given to us but 7 was ignored. Therefore we shall use x = -2 to find the value of y in equation 2
Recall, y = 2x + 10 ( equation 2 )
thus, y = 2 ( -2 ) + 10 ( since x = -2 )
hence, y = -4 + 10 ( since 2 x -2 = _4 )
so, y = +6
finally, x = -2 and y = 6. the best coordinate is ( -2, 6 )
MARKING BRAINLIST!
Add (11x + 2) + (9x − 4).
F. 20x − 6 G. 20x − 2 H. 2x − 6 I. 2x − 2
Answers
The answer to the question
Answers
1. Draw a radius of the circle and label its endpoints A and B.
2. Construct the chord segment A and B.
3. Label the tangent lines of the construction and the circle as C and D.
4. Connect the lines A, B, C, and D to draw square ACBD.
What is a circle?A circle is a geometric shape that consists of all points in a plane that are equidistant from a fixed center point. It is defined by its radius, which is the distance from the center point to any point on the circle's circumference.
The circumference of a circle is the boundary or the outer edge of the circle. A circle is a closed curve, and all of its points are at an equal distance from the center.
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solve graphically: 3x + y=15 ; 3x-4y=0
Answers
Answer:
To solve the system of equations graphically, you can plot the two lines on a coordinate plane and find the point where they intersect, which represents the solution to the system.
First, let's start by rewriting the equations in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
For the first equation:
3x + y = 15
y = -3x + 15
For the second equation:
3x - 4y = 0
y = (3/4)x
Next, we can plot these two lines on a coordinate plane by using any two points on each line and connecting them with a straight line.
Once the lines are plotted, we can find the point where they intersect, which represents the solution to the system. In this case, the solution is (2, 9), meaning that at x = 2 and y = 9, both equations are satisfied.
So, the solution to the system of equations is (2, 9), which means that the two lines intersect at the point (2, 9).
A recipe needs tablespoon salt.
This same recipe is made 5 times.
How much total is needed?
Answers
Multiply 1 x 5
Then you will get 5 and that is your answer.
Hope I helped
If someone could help me with these two problems please. ( will mark brainliest if correct )
Answers
Answer:
Q14 = 45
Q15 = 1.98
Step-by-step explanation:
Q14.
2t = 90 degrees (right angle)
(1) t = 45 (90 ÷ 2)
45 + 8 = 53
45 - 12 = 33
Q15.
43s = 85 degrees
s = 1.98 (85 ÷ 43)
Please help me. Wich one is correct.
Answers
Answer:
100(x-3)
Step-by-step explanation:
100x - 300= 100x - 3×100
= 100(x-3)
by the way the third expression is true too
Which of the following is an equivalent representation of 5^-4 ?
1/81
1/12
1/9
1/625
Answers
Answer:
It would be 1/625
Step-by-step explanation:
5^-4=0.0016
0.0016 as a fraction is 1/625
Hope this helps! :)
what is a better estimate for mass of a text book 1 gram or 1 kilogram
Answers
Answer:
One kilogram.
Step-by-step explanation:
Things that are one gram include a paper clip and a raisin, meaning that one kilogram would make much more sense. Hope this helps! :)
100 point and Branliest
Obtuse Scalene Triangle Translation to prove SSS Congruence
1. Describe the translation you performed on the original triangle. Use details and coordinates to explain how the figure was transformed, including the translation rule you applied to your triangle.
2. What other properties exist in your triangle? Discuss at least two theorems you learned about in this module that apply to your triangle. Make sure to show evidence by discussing your triangle's measurements.
3. Did your triangle undergo rigid motion? Explain why.
Answers
Obtuse Scalene Triangle Translation SSS Congruence is proved in the below answer.
What is a scalene triangle?The scalene triangle is one in which the all the sides of the triangle are of different size.
(1) The Transformation I used on the original triangle was counting 10 spaces right and three spaces up from each of the three original points, and then placing a point to form a new triangle.
Point A's original coordinates are (6,-3). Add 10 to 6 and 3 to -3, and you get the coordinates to our new point (16,0).
This is the original corresponding point. When you do that to the other 2 points, you will have a new triangle that is congruent to the original one.
(2) I rotated the triangle 180 degrees, and it went clockwise.
(3) When I reflected the original triangle, I reelected it across the y-axis. All the three points were reflected across the line because the image on the other side of the line matched the original.
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What is the distance between (4, – 7) and (4, 2)?
2
4
5
9
Answers
Answer:
9
Step-by-step explanation:
2-9= -7 so the distance is 9
Answer:
7 units
Step-by-step explanation:
let b=b1,b2 and c=c1,c2 be bases for ℝ2. find the change-of-coordinates matrix from b to c and the change-of-coordinates matrix from c to b. b1= −3 −4 , b2= 2 3 , c1= 1 4 , c2= 3 4
Answers
The change-of-coordinates matrix from c to b is:
Q = [−2/5 3/5; 4/5 4/5]
How to find the change-of-coordinates matrix from b to c?To express the basis vectors of c in terms of the basis vectors of b.
This can be done by solving the equation [c1, c2] = [b1, b2]P, where P is the change-of-coordinates matrix from b to c.
We can write out the equation in components as follows:
1 3 = -3x + 2y
4 4 -4x + 3y
Solving this system of equations, we get x = -4/5 and y = 3/5. Therefore, the change-of-coordinates matrix from b to c is:
P = [−4/5 3/5; 2/5 1/5]
To find the change-of-coordinates matrix from c to b, we need to express the basis vectors of b in terms of the basis vectors of c.
This can be done by solving the equation [b1, b2] = [c1, c2]Q, where Q is the change-of-coordinates matrix from c to b.
We can write out the equation in components as follows:
-3 2 = 1x + 3y
-4 3 4x + 4y
Solving this system of equations, we get x = -2/5 and y = 3/5. Therefore, the change-of-coordinates matrix from c to b is:
Q = [−2/5 3/5; 4/5 4/5]
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What is 115 lbs in kg?
Answers
Answer:
115 lbs = 52.16 kilograms
Step-by-step explanation:
115 pounds is a little over 52kg
you randomly choose an integer between 1 and 25. how many favorable outcomes are there for choosing an odd multiple of 3?
Answers
The favourable outcomes are there between 1 and 25 and of multiples of 3 are 3, 9, 15 and 21.
What is Probability ?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
In order to better grasp probability, let's look at a straightforward application. Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query. There is a chance that it will rain or not. Here, probability can be used.
The number of favorable outcomes that are an odd multiple of 3 is 4.
It should be noted that from the numbers between 1 and 25, the multiples of 3 will be 3, 6, 9, 12, 15, 18, and 121.
Then, from the multiples of 3, we'll choose the odd multiples which are 3, 9, 15, 21.
Therefore, the odd multiples will be 4.
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there are basic chart types and specialized chart types. a gantt chart is a specialized chart type.
Answers
A Gantt chart is indeed a specialized chart type. Basic chart types include bar charts, line charts, and pie charts, which are commonly used for visualizing data. Specialized chart types, such as Gantt charts, serve more specific purposes.
Yes, there are indeed basic chart types as well as specialized chart types. Basic chart types include things like bar graphs, line graphs, and pie charts, while specialized chart types are designed for more specific purposes, such as organizational charts, flowcharts, and Gantt charts.
In particular, a Gantt chart is a specialized chart type that is commonly used in project management to help visualize the tasks, milestones, and dependencies involved in a project. It is designed to show a timeline of when each task or activity needs to be completed, as well as how long it will take and what resources will be needed.
Overall, while basic chart types are great for general data visualization purposes, specialized chart types like Gantt charts can be incredibly useful for specific tasks or industries, and can help users to more effectively communicate and manage complex information.
A Gantt chart is indeed a specialized chart type. Basic chart types include bar charts, line charts, and pie charts, which are commonly used for visualizing data. Specialized chart types, such as Gantt charts, serve more specific purposes. A Gantt chart is designed for project management and helps visualize a project's timeline, tasks, and progress, making it easier to manage and allocate resources.
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