Pls help asap
The table shows the lengths of sides of 3 triangles. Which one of the triangles are right triangles?
Select all that apply
A. Triangle 3
B. Triangle 1
C. Triangle 2
Answers
Answer: Triangle 1 and 3. The right triangles can be identified using the Pythagorean theorem. Add the squares of 2 sides together and check if it's equal to square of the 3rd side.
Step-by-step explanation:
In triangle 1,
Side 1= 20
Side 2= \(\sqrt{425}\)
Side 3= 5
For a right angled triangle,
A²+B²= C²
where A,B,C are sides of the triangle
Since, 20² + 5² = 400 + 25 = 425 = C²
Therefore, C= \(\sqrt{425}\) = Side 2.
Hence, it is a right-angled triangle.
In triangle 2,
Side 1= 14
Side 2= 21
Side 3= 10
For a right angled triangle,
A²+B²= C²
where A,B,C are sides of the triangle
Since, 14² + 10² = 196 + 100 = 296 = C²
Therefore, C= \(\sqrt{296}\) ≠ 21.
Hence, it is not a right-angled triangle.
In triangle 3,
Side 1= 6/11
Side 2= 8/11
Side 3= 10/11
For a right angled triangle,
A²+B²= C²
where A,B,C are sides of the triangle
Since, (6/11)² + (8/11)² = 36/121 + 64/121 = 100/121 = C²
Therefore, C= \(\sqrt{100/121}\) = 10/11 = Side 3 .
Hence, it is a right-angled triangle.
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Related Questions
Which measure of central tendency is most appropriate when it is desired to minimize the effect of a few extreme (very high or very low) scores?group of answer choicesmedian
Answers
When it is required to minimize the effect of a few extreme scores, median is the measure of central tendency which is the most appropriate.
This is due to the fact that the median isn't influenced by extreme values, which means it is the middle value when the observations are ordered from least to greatest.There are several measures of central tendency, including the mode, median, and mean.
The most common measure is the mean, but it is greatly affected by the presence of a few very high or very low scores.To ensure that the mean isn't skewed too much by these scores, the median is a better choice. The median is the middle number in a data set when the observations are sorted from smallest to greatest.
In this way, if there are extremely high or low scores, they are not going to influence the median significantly as compared to the mean. Hence, we can say that the median is the most appropriate measure of central tendency when it is desired to minimize the effect of a few extreme scores.
The measure of central tendency that is most appropriate when it is desired to minimize the effect of a few extreme (very high or very low) scores is the median.
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In what situations would you use a table to organize data?
collecting money for a fundraiser
keeping track of math grades
saving money to buy a new pair of shoes
tracking yearly growth
summarizing survey results
Answers
Answer: It it all of them
collecting money for a fundraiser
keeping track of math grades
saving money to buy a new pair of shoes
tracking yearly growth
summarizing survey results
Step-by-step explanation:
Answer: Check all of them! ;3
All are correct!
The standard diameter of a golf ball is 42. 67 mm. A golf ball factory does quality control on the golf balls it manufactures. Golf balls are randomly measured to ensure the correct size. If the discrepancy in diameter is more than 0. 004 mm, the production is stopped. Which function could represent this situation?.
Answers
Discrepancy is the difference of a the value from the uniform distribution. The function for the given situation can be given as,
\(f(x)=|x|-42.67\)
Hence the option 2 is the correct option.
Given information-
The standard diameter of the golf ball is 42.67 mm.
The discrepancy in the diameter is 0.004 mm.
What is discrepancy?Discrepancy is the difference of a the value from the uniform distribution.
Suppose the discrepancy is x mm.
If the discrepancy in diameter is more than 0. 004 mm, the production is stopped.
As the discrepancy of 0.004 mm or more is stopped the production, we have to subtract the diameter to the discrepancy .
Thus the function for the situation can be given as,
\(f(x)=-42.67+|x|\)
Rearrange for the x,
\(f(x)=|x|-42.67\)
Thus the function for the given situation can be given as,\(f(x)=|x|-42.67\)
Hence the option 2 is the correct option.
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The sum of three consecutive even integers is 108. What is the largest number?
34
Answers
Answer:
It's 38.
Step-by-step explanation:
the sum of three consecutive even integers is 108, the largest number in the sequence would be 38.
I hope this helps you!
Answer:
We can use algebra to solve this problem. Let's call the smallest of the three consecutive even integers x. Since the integers are consecutive and even, the next two integers will be x+2 and x+4.
The problem states that the sum of three consecutive even integers is 108, so we can write an equation:
x + (x+2) + (x+4) = 108
We can simplify this equation by combining like terms:
3x + 6 = 108
3x = 102
x = 34
So, the smallest of the three consecutive even integers is 34.
The next two integers will be x+2 = 34+2 = 36 and x+4 = 34+4 = 38
The largest number of the three consecutive even integers is x+4 = 38.
Which BEST describes a ray?
A) Arrow at both ends.
B) Endpoint at both ends.
C) No endpoint or arrow on the ends.
D) Endpoint at one end and an arrow at the other end.
Answers
Answer:
D: an endpoint at one end and an arrow on the other or answer hope this helped,
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A line segment has an endpoint at both ends. A has arrows at both ends.A ray has a endpoint at one end and an arrow at the other.
Brianna invested $25,000 in an account paying an interest rate of 3.6% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 18 years?
Answers
Answer: A≈47791.31
Step-by-step explanation:
A
=
P
(
1
+
r
n
)
n
t
A=P(1+
n
r
)
nt
Compound interest formula
P
=
25000
r
=
0.036
t
=
18
n
=
365
P=25000r=0.036t=18n=365
Given values
A
=
25000
(
1
+
0.036
365
)
365
(
18
)
A=25000(1+
365
0.036
)
365(18)
Plug in values
A
=
25000
(
1.0000986301
)
6570
A=25000(1.0000986301)
6570
Simplify
A
=
47791.3122461
A=47791.3122461
Use calculator
A
≈
47791.31
A≈47791.31
The amount after 18 years will be $47,791
What is compound interest?Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.
Given that, Brianna invested $25,000 in an account paying an interest rate of 3.6% compounded daily.
A = P(1+r/365)^n*365
A = 25000(1+0.00009863)^6570
A = 25000(1.00009863)^6570
A = 47,791
Hence, The amount after 18 years will be $47,791
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I need help on 2,5,9
Answers
Answer:
2. -4/3
5. 128/105
9. -5/6
Please help its kind of easy but i really need it
Answers
Answer:
it a poster what do you need help with
Step-by-step explanation:
this is the exact poster or flyer
A rectangular swimming pool has length 15w - 1 feet and width 9w + 2 feet. Find the perimeter of the pool.
Answers
Answer:
48w +2
Step-by-step explanation:
Perimeter of a rectangle=2( length+width)
=2(15w-1+9w+2)
=2(24w+1)
=48w+2
For question #3:A) Express the general solution of the given system of equations in terms of real-valued functions.B) Also, draw a direction field, sketch a few of the trajectories, and describe the behavior of the solutions as t approachs infinity.
Answers
The solutions of the system tend towards zero, as the exponential term dominates the other terms.
The general solution of the given system of equations can be expressed as:
x(t) = c1e^(-t) + c2te^(-t)
y(t) = c3e^(-t) + c4te^(-t)
where c1, c2, c3 and c4 are constants of integration.
The direction field of the system can be drawn by plotting the slopes of the two equations at each point. The trajectories of the solutions can be sketched by plotting the solutions of the system at different points in time. As t approaches infinity, the solutions of the system tend towards zero, as the exponential term dominates the other terms.
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Work out the value of R. Give your answer in standard form to an appropriate degree of accuracy.
Answers
Answer:
R = 8,228,571.43 (Approx)
Step-by-step explanation:
Given:
R = x²/y
x = 4.8 x 10⁵
y = 2.8 x 10⁴
Find:
Value of R
Computation:
R = x²/y
R = (4.8 x 10⁵)²/ (2.8 x 10⁴)
R = 23.04 x 10¹⁰ / (2.8 x 10⁴)
R = 8.22857.. x 10⁶
R = 8,228,571.43 (Approx)
Answer:
8.2x10^6
Step-by-step explanation:
Consider a fractal line with fractal dimension D. The mean-square distance between monomers u and v along this line is ⟨(R(u)−R(v))2⟩=b2(v−u)2/D. Calculate the mean-square end-to-end distance R2 and radius of gyration Rg2 for this fractal line. Determine the ratio R2/Rg2 symbolically and then calculate this ratio for fractal dimensions D=1,1.7 and 2 .
Answers
The mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).
The mean-square end-to-end distance for the fractal line is as follows.⟨R2⟩ = ⟨(R(u)- R(v))^2⟩ for u = 0 and v = L where L is the length of the line.⟨R2⟩ = b²/L^2.D.L = b².L^(1-D).
Thus, the mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).
The radius of gyration Rg is defined as follows.
Rg² = (1/N)∑_(i=1)^N▒〖(R(i)-R(mean))〗²where N is the number of monomers in the fractal line and R(i) is the position vector of the ith monomer.
R(mean) is the mean position vector of all monomers.
Since the fractal dimension is D, the number of monomers varies with the length of the line as follows.N ~ L^(D).
Therefore, the radius of gyration for the fractal line is Rg² = (1/L^D)∫_0^L▒〖(b/v^(1-D))^2 v dv〗 = b²/L^2.D(1-D). Thus, Rg² = b².L^(2-D).
The ratio R²/Rg² is given by R²/Rg² = L^(D-2).
When D = 1, R²/Rg² = 1/L. When D = 1.7, R²/Rg² = 1/L^0.7. When D = 2, R²/Rg² = 1/L.
This provides information on mean-square end-to-end distance and radius of gyration for fractal line with a given fractal dimension.
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Vector u has initial point P at (0, 0) and terminal point Q at (5, -8). What are the component form and magnitude of u?
• u = (5, -8): ||u|| = -√89
• u = (5, 8): ||u|| = -√89
• u = (5, -8): ||u|| = √89
• u = (5, 8): ||u|| = √89
Answers
The correct option for the given vector is the third one:
u = (5, -8): ||u|| = √89What are the component form and magnitude of u?If the initial point is (0, 0), then the component form of the vector is just equal to the terminal point of the vector.
Then we have:
u = (5, -8)
For a vector w = (x, y) the magnitude is:
\(||w|| = \sqrt{x^2 + y^2}\)
In this case, the magnitude will be:
\(||u|| = \sqrt{5^2 + (-8)^2} = \sqrt{89}\)
Then the correct option is the third one.
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On a coordinate plane the vertices of a triangle are A(-1, 4), B(-3,2), and C(0, -1). Find the coordinates of the
midpoint of side AB.
A)
(3,-2)
B)
(-2,3)
(2, -3)
D)
(2, 1)
Answers
Answer:
B) (-2,3)
Step-by-step explanation:
Graph all your points. No count the distance from point A to B. divide in half .
For every computer that is sold, Kendall receives $ 250 in commissions. The amount of commissions that Peter receives can be represented by the function y = 225x where y is his commission and x is the number of computers sold. How much more does Kendall receive in commissions than Peter if they both sell 5 computers ?
Answers
Kendall receives $125 more in commissions than Peter if they both sell 5 computers
The given functions are;
For Kendall: f(x) = 250x
For Peter: g(x) = 225x
Let's put x=5 in the given functions;
For Kendall: f(x) = 250x
= 250(5)
= $1250
For Peter: g(x) = 225x
= 225(5)
= $1125
Kendall receives $1250 in commissions and Peter receives $1125 in commissions.
Therefore, the difference between their commissions is; $1250 - $1125 = $125.
Therefore, Kendall receives $125 commission than Peter.
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80% of a number is x. What is 100% of the number? Assume x70.
Answers
if 80% of a number is x, then 100% of the number is 1.25x
What is 100% of the number?From the question, we have the following parameters that can be used in our computation:
80% of a number is x
Represent the number with y
So, we have the following representation
80% of y is x
Express as a product expression
So, we have the following representation
80% * y = x
Divide both sides by 80%
This gives
y = x/80%
Evaluate the quotient
y = 1.25x
Hence, 100% of the number is 1.25x
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Find the original price, discount, sale price, or selling price. Original price: $130 Markup: 35% Selling price: _____
Answers
Step-by-step explanation:
Original price : $130
Discount : 35% × $130
= $45.50
sale price : $130 - $45.50
= $84.50
19. Write an equation for the translation of y=6/x that has the asymptotes x = 4 and y=5.
Answers
An equation for the translation of y = 6/x that has the asymptotes x =4 and y = 5 is y = 6/(x - 4) + 5.
What is the equation of the asymptote?Given,
Vertical asymptotes x = 4
Horizontal asymptotes y = 5
The graph of y = 6/x has vertical asymptote x = 0 (the y-axis) and horizontal asymptote y = 0 (the x-axis).
An asymptote is a line to which the curve converges.
When the resulting independent variable is zero, the vertical asymptote occurs.
The values of the dependent variable coincide with the horizontal asymptote when the independent variable diverges to plus or minus infinity.
The translation formula is y = 6/(x - 4) + 5
Therefore, the equation is y = 6/(x - 4) + 5.
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9c + 3+2+7
Please help me solve this two step equation
Answers
Answer: 9c+12
Step-by-step explanation:
La tercera parte, de la quinta parte de √225
Answers
Answer:
\(\sqrt{225} =15\\\sqrt[3]{225}=6.08 \\\sqrt[5]{225}= 2.95\)
In one year, there were 116 homicide deaths in Richmond, Virginia. Using the Poisson distribution, find the probability that the number of homicide deaths for a randomly selected day is:
a) 0
b) 1
c) 2
Answers
The probability that the number of homicide deaths for a randomly selected day is:
a) 0: 0.18,
b) 1: 0.35,
c) 2: 0.27
The Poisson distribution is used to simulate the likelihood that a certain number of events will occur within a predetermined window of time or space.
In this instance, the Poisson distribution can be used to simulate the number of homicide deaths that occurred in Richmond, Virginia over the course of a year.
The Poisson distribution can be used to determine the likelihood of 0, 1, and 2 homicides happening on any given day.
One homicide occurs on a randomly chosen day with a 0.18 percent chance, one homicide occurs on a randomly chosen day with a 0.35 percent chance, and two homicides occur on a randomly selected day with a 0.27 percent chance.
Complete Question:
In one year, there were 116 homicide deaths in Richmond, Virginia. Using the Poisson distribution, find the probability that the number of homicide deaths for a randomly selected day is:
a) 0
b) 1
c) 2
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Stanley is building a rectangular fence with 44 feet of fencing. If the width is two less than half the length, what is the width of the fence
Answers
The width of the fence is 6 feet.
We have,
Let's assume the length of the fence is L.
According to the given information, the width is two less than half the length, which can be expressed as W = (L/2) - 2.
The perimeter of a rectangle is given by the formula P = 2L + 2W.
Substituting the given values, we have 44 = 2L + 2((L/2) - 2).
Simplifying the equation, we get 44 = 2L + L - 4.
Combining like terms, we have 44 = 3L - 4.
Adding 4 to both sides, we get 48 = 3L.
Dividing both sides by 3, we find L = 16.
Substituting the value of L back into the width equation,
we have W = (16/2) - 2 = 8 - 2 = 6.
Therefore,
The width of the fence is 6 feet.
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The correct width of the fence is 6 feet.
Given:
The width is two less than half the length, which can be expressed as:
W = (L/2) - 2.
Stanley is building a rectangular fence with 44 feet of fencing.
The perimeter of a rectangle is given by the formula.
P = 2 L + 2 W.......(1)
Putting the value in equation (1)
44 = 2 L + 2((L/2) - 2).
Simplifying the equation, we get
44 = 2 L + (L - 4).
44 = 3 L - 4.
48 = 3 L.
L = 16.
Here L is the length.
Substituting the value of L into the width equation,
we have W = (16/2) - 2 = (8 - 2) = 6.
Therefore, the width of the fence is 6 feet.
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Select the correct answer from each drop-down menu.
A cell phone tower is shown. The edge of the base is 50 feet and the height is 200 feet.
Photograph of a cell phone tower.
What shape best models the object and what is the approximate surface area of that shape?
The best shape for the model is a
.
The approximate surface area is
square feet.
Answers
A square pyramid can be defined as a type of pyramid that has a square base, four (4) triangular sides, five (5) vertices, and eight (8) edges.
In this context, we can logically deduce that the geometric shape which best models the object (cell phone tower) shown in the image attached above is a square pyramid.
How to calculate surface area of a square pyramid?Mathematically, the surface area of a square pyramid is given by this formula:
A = a² + 2a√(a²/4 + h²)
Where:
A is the surface area of a square pyramid.a represents the edge of the base.h represents the height.Given the following parameters:
Edge of the base = 50 feet.
Height = 200 feet.
Substituting the given parameters into the formula, we have;
A = 50² + 2(50)√(50²/4 + 200²)
A = 2,500 + 100√(2500/4 + 40,000)
A = 2,500 + 100√(625 + 40,000)
A = 2,500 + 100√(40,625)
A = 2,500 + 100(201.56)
A = 2,500 + 20,156
A = 22,656 ≈ 22,500 ft².
In conclusion, the best geometric shape for the model is a square pyramid and the approximate surface area is equal to 22,500 square feet.
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Answer:The best shape for the model is a square pyramid.
The approximate surface area is 22,500 square feet.
Step-by-step explanation: edmentum/plato answers
Need help 30 points....
in triangle abc, the measure of the largest angle is 32 less than 3 times the smallest angle. the measure of the middle angle is 8 more than half the measure of the largest angle. what is the measure of the middle angle? _______ degrees
Answers
The measure of the middle angle of triangle abc is 52°
Let the largest angle of triangle be x, the smallest angle be z, and the third angle be y.
Given that the measure of the largest angle is 32 less than 3 times the smallest angle.
So, we get an equation,
x = 3z - 32 ............(1)
Also, the measure of the middle angle is 8 more than half the measure of the largest angle.
So, we get an equation,
y = 8 + (x/2) .......(2)
From equation (1),
z = (x + 32)/3 ..........(3)
We know that the sum of all angles of triangle is 180 degrees.
x + y + z = 180
Substitute the values of y and z in above equation.
x + 8 + (x/2) + (x + 32)/3 = 180
6x + 48 + 3x + 2(x + 32) = 1080
9x + 48 + 2x + 64 = 1080
11x + 112 = 1080
11x = 1080 - 112
11x = 968
x = 88
Substituting above value of x in equation (2)
y = 8 + (88/2)
y = 8 + 44
y = 52 degrees
Therefore, the middle angle of triangle measures 52 degrees.
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What is 18 x 2/3 need help
Answers
Answer:
ans=12
Step-by-step explanation:
Answer: 12
Step-by-step explanation:
=(
18
1
)(
2
3
)
=
(18)(2)
(1)(3)
=
36
3
=12
7 students have 3 books each. Which helps you find the total number of books?
Answers
Answer:
21 Books in total
Step-by-step explanation:
If you just want the total number of books, here:
If each student has 3 books, and there are 7 students, we can create the equation: 7 * 3 :because this is showing that 7 people each have 3 books
7 * 3 = 21 so There are 21 books in total
Another we could write it is 3 + 3 + 3 + 3 + 3 + 3 + 3 because there are 7 students with 3 books each. Adding this up would equal 21.
Answer:
21 books in total
Step-by-step explanation:
If there is 7 students who have 3 books each, and want to find the total. The easiest way is multiply 7 with 3 to give you an answer of 21
Or draw a picture if it helps
Draw 7 stick figure and under it draw 3 books for them and count the books, still gives you 21
I think this is what you want
NEEP HELP ASAP LAST DAY OF SCHOOL PLS SHOW YOUR WORK
A rectangular field is 80 meters wide and 120 meters long. Give the length and width of another rectangular field that has the same perimeter but a larger area.
Width= ----- Meters
Length= ------ Meters
Answers
The width of the new rectangular field would be 0 meters, which means it would essentially be a line segment.
To find the length and width of another rectangular field that has the same perimeter but a larger area, we can use the following steps:
1. Calculate the perimeter of the given rectangular field:
Perimeter = 2 * (Length + Width)
= 2 * (120 meters + 80 meters)
= 2 * 200 meters
= 400 meters
2. Divide the perimeter by 2 to find the equal sides of the new rectangular field. Since the perimeter is divided equally into two sides, each side would be half of the perimeter length:
Side length = Perimeter / 2
= 400 meters / 2
= 200 meters
3. Now, we have the side length of the new rectangular field. However, we need to determine the length and width that would yield a larger area. One way to achieve this is to make one side longer and the other side shorter.
4. Let's assume the length of the new rectangular field is 200 meters. Since both sides have the same length, the width can be calculated using the formula for the perimeter:
Width = Perimeter / 2 - Length
= 400 meters / 2 - 200 meters
= 200 meters - 200 meters
= 0 meters
5. Therefore, the width of the new rectangular field would be 0 meters, which means it would essentially be a line segment. However, note that the question asks for a rectangular field with a larger area. Since the width cannot be zero, we can conclude that it is not possible to have a rectangular field with the same perimeter but a larger area than the given field.
In summary, it is not possible to find another rectangular field with the same perimeter but a larger area than the rectangular field with dimensions 80 meters wide and 120 meters long.
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2(x+7) = 4x+6 i need to solve for x
Answers
Answer:
x = 4
Step-by-step explanation:
2(x+7) = 4x+6
2x + 14 = 4x + 6
2x - 4x = 6 - 14
-2x = -8
Divide both side by -2
x = 4
I desperately need help. PLEASE
*and please actually answer the question instead of lying just for points. seriously
Answers
check images :) and yeah i agree i hate when people just put random letters to get points
Assume that θ is an angle in standard position whose terminal side contains the point (5, -12). Find the exact value of the following functions.
Answers
The relation between polar and cartesian coordinates is given by:
In this case, we have:
\(P(x,y)=P(5,-12)\Rightarrow r={\sqrt{x^2+y^2}}=\sqrt{5^2+(-12)^2}=\sqrt{169}=13.\)AnswerUsing the formulas above and the values of x, y and r, we have:
1) sin θ
\(\sinθ=\frac{y}{r}=-\frac{12}{13}.\)2) cos θ
\(\cosθ=\frac{x}{r}=\frac{5}{13}.\)3) tan θ
\(\tanθ=\frac{y}{x}=-\frac{12}{5}.\)4) csc θ
\(csc\text{ }\theta=\frac{1}{sin\text{ }\theta}=\frac{1}{(-\frac{12}{13})}=-\frac{13}{12}.\)5) sec θ
\(sec\text{ }\theta=\frac{1}{cos\text{ }\theta}=\frac{1}{\frac{5}{13}}=\frac{13}{5}.\)6) cot θ
\(cot\text{ }\theta=\frac{1}{\tan\theta}=\frac{1}{(-\frac{12}{5})}=-\frac{5}{12}.\)