do the side lengths 4.1,8.2,and 12.2 for a triangle

Answers

Answer 1

Answer:

Step-by-step explanation:

Three line segments can form a triangle if the length of the longest segment is greater than the sum of the lengths of the shorter segments.

4.1 + 8.2 > 12.2

12.3 > 12.2

true 

They can form a triangle.

Now if c is the length of the longest side and a and b are the lengths of the shorter sides, then:

- if , [tex]c^{2}[/tex] = [tex]a^2 + b^2[/tex] the triangle is right

- If [tex]c^2 < a^2 + b^2[/tex]

- if  [tex]c^2 > a^2 + b^2[/tex] the triangle is obtuse

[tex]4.1^2 + 8.2^2 = 16.81 + 67.24 = 84.05\\12.2^2 = 148.84\\148.84 > 84.05[/tex]

The triangle is obtuse.


Related Questions

The diameter of the wheel is 22 inches what is the circumference of the world use 3.14 for pie

Answers

Answer:

69.08 inches

Step-by-step explanation:

Circumference of the wheel

= 2 pi r

Given

Pi = 3.14

Radius r = diameter/2 = 22/2

= 11

Therefore

Circumference = 2 x 3.14 x 11

= 69.08 inches

What is y = -3(x – 7)(x + 3) in standard form?

Answers

Answer:

y=-3x^2+12x+63

Step-by-step explanation:

y=-3(x-7)(x+3)

y=-3(x^2-4x-21)

y=-3x^2+12x+63

Erica makes 6 sandwiches and cuts
each sandwich into 1/3. How many 1/3
size sandwich pieces does she have ?​

Answers

Answer:

the answer is 18

Step-by-step explanation:

can u put me as brainliest

For every 8 shots barry made,he missed 5.Barry missed 20 shots in all how many did he make?​

Answers

Answer:

he made 12 shots

Step-by-step explanation:

since he missed 5/8 shots and 20 divided by is 4, you multiply (8-5) which is 3 by 4 and you get 12

Answer:

He made 32 shots

Step-by-step explanation:

8/5=?/20

put them together and make them as equal as possible.

please help me with this math problem!!

Answers

Answer:

y=3

Step-by-step explanation:

This is an isosceles triangle because the two angles at the bottom are equal.

This means the two sides are equal

5y-2 = 13

Add 2 to each side

5y-2+2 =13+2

5y = 15

Divide each side by 5

5y/5 = 15/5

y =3

Dividing exponents in this equation

Answers

Answer:

18x^5y

Step-by-step explanation:

Divide 36 by 2 first : 18

since you are dividing, you subtract the exponents:

x^8 - x^3= x^5

y^4-y^3= y^1 but you usually just write y

Dividing exponents in this equation  [tex]\frac{36x^{8}y^{4} }{2x^{3} y^{3} }[/tex] is [tex]18x^{5} y[/tex]

How can the expression be simplified?

A mathematical action called an exponent, sometimes referred to as a power, is the result of repeatedly multiplying a base number by itself. A little number or variable to the right and above the basic number serves as a symbol for it. For instance, in the notation 2^3, the base and exponent are 2 and 3, respectively, denoting three times the product of 2 and itself: 2^3 = 2 x 2 x 2 = 8.

Given that;

[tex]\frac{36x^{8}y^{4} }{2x^{3} y^{3} }[/tex]

Divide 36 by 2 first : 18

[tex]\frac{18x^{8}y^{4} }{x^{3} y^{3} }[/tex]

=[tex]18x^{5} y[/tex]

Can someone answer this for me also I’m being timed so hat would be great if you were to answer quickly thanks:)

Answers

Answer: I haven't done this test but I am good at math and I bilieve the answer is Trapazoid From the looks of it.

Step-by-step explanation: look at the shape your looking at and the one below.

Brianna’s family spent $100 on 1 adult ticket and 3 youth tickets at an amusement park. Max’s family spent $146 on 3 adult tickets and 2 youth tickets. What is the price of a youth ticket?

A. $34

B. $22

C. $12

D. $55

Answers

Answer:

B $22

Step-by-step explanation:

The answer is B.$22 it’s not the other ones

ILL GIVE YOU BRAINLIEST!! A survey of 500 people was taken regarding their favorite winter outdoor activity.The results are shown in the table below.
In a circle graph,what would be the measure of the central angle for snowmobiling?
A. 200°
B. 144°
C. 72°
D. 56°
E. 40°

Answers

Answer:

144°

If you look up 144° it matches exactly how it looks on a pie chart

I hope this helped

Jason walks 1/2 of a mile in 1/3 of an hour. If he walks at the same rate, how many miles does Jason walk each hour

Answers

Answer:

He would walk 1 1/2 a mile. Hope that helps

Step-by-step explanation:

[PLEASE HELP] The area of Bethany's garden will be 48 square feet once she expands it. She is not going to change the measurement on one side, but the other side will be 8 feet longer than before. The equation that models this situation and can be used to determine the possible dimensions of Bethany's garden is x^2 +8x -48. Factor to determine the possible dimensions of Bethany's new garden.

Answers

Final answer:

To find Bethany's expanded garden dimensions, we factored the quadratic equation x² + 8x - 48 = 0 to find that the original dimension is 4 feet, resulting in the new dimensions of 4 feet by 12 feet.

Explanation:

The student is tasked with finding the possible dimensions of Bethany's expanded garden, which will have an area of 48 square feet. The side lengths of the new garden are related by the fact that one side will be 8 feet longer than the other. We can use the given quadratic equation x² + 8x - 48 = 0 to model this situation.

Step-by-Step Factoring

First, we identify the coefficients in the equation, which are A=1 (coefficient of x²), B=8 (coefficient of x), and C=-48 (constant term).

To factor the quadratic equation, we look for two numbers whose product is A*C (-48) and whose sum is B (8). These numbers are 12 and -4.

Rewrite the middle term (8x) using the numbers found: x² + 12x - 4x - 48 = 0.

Factor by grouping: (x² + 12x) - (4x + 48) = 0 becomes x(x + 12) - 4(x + 12) = 0.

Factor out the common factor: (x - 4)(x + 12) = 0.

Solve for x: x = 4 or x = -12. Since a garden's dimensions must be positive, we disregard the negative solution. This leaves us with x = 4 feet as the original dimension and x + 8 = 12 feet as the expanded dimension.

Thus, the dimensions of Bethany's new garden are 4 feet by 12 feet.

What is 17.043956 in decimal form

Answers

Answer:

17.043956

Step-by-step explanation:

Answer:

Step-by-step explanation:

17.043956 in decimal form

This is already in decimal form

What is the value of x?

Answers

the answer to this question is 71

Answer:

Answer is 71 degree

Step-by-step explanation:

AS we can see it is an isosceles triangle so base angles are equal

x + x + 38 = 180 ( sum of angles of triangle )

2x = 180 - 38

2x = 142

x = 142 / 2

Therefore x = 71 degree

Hope it helps :)

During summer, when the snow melts, the water level of the Yukon River increases. If the water level of the river increased by 72 centimeters in 8 days, what is the water level increase rate in centimeters per day?

A. 9 centimeters per day
B. 12 centimeters per day
C. 11 centimeters per day
D. 8 centimeters per day

Answers

Answer:

A) 9cm/day

Step-by-step explanation:

72/8=9

They answer to this is A just do 72/8 and u get 9

4. In how many ways can six different books, four of which are math books, be arranged on a shelf if the math
books must be placed next to each other?

Answers

Answer:

3

Step-by-step explanation:

The math books can all be in the middle with the other two on the sides, or the math books can be on the left side with the other books at the right side. Also, the math books can be on the right side with the other books at the left side.

Find the total surface area.
Thanks!

Answers

Answer:

Your answer would be 326.72

Step-by-step explanation:

2(pie) x 4 x 9= (roughly) 326.72

the answer will be 326.72

Write 7 3/10 as an improper fraction

Answers

Answer:

73/10

Step-by-step explanation:

7*10+3/10=

70+3/10=

73/10

Answer:

Your answer would be 73/10.

Step-by-step explanation:

Think of it this way, each whole number counts as 10/10. So by using that, just do 10 * 7 / 10...

So you would get 70/10.

Then you would add on the left over 3/10 that you had at the beginning.

70/10 + 3/10 = 73/10

This would get your final answer of 73/10.

You randomly choose a marble from a jar. The jar contains 3 red marbles, 10
blue marbles, 8 green marbles, and 4 yellow marbles. Find the probability
of choosing a blue marble. *

Answers

total marbles=3+10+8+4=25 marbles total
10 blue marbles/25 total marbles
10/25=2/5 probability

The probability of choosing a blue marble is 2/5 or 0.4.

It is given that the jar contains 3 red marbles, 10 blue marbles, 8 green marbles, and 4 yellow marbles.

It is required to find the probability of choosing a blue marble.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have:

Number of total marbles = 3+10+8+4 ⇒25

Number of blue marble = 10

From the definition of the probability:

[tex]\rm Probability = \frac{Favourable \ outcomes}{Total \ outcomes}[/tex]

[tex]\rm Probability = \frac{10}{25}[/tex]

[tex]\rm Probability = \frac{2}{5 } \Rightarrow 0.4[/tex]

Thus, the probability of choosing a blue marble is 2/5 or 0.4.

Learn more about the probability here:

brainly.com/question/11234923

2/3 of a number is -6 find the number

Answers

Answer:

-12

Step-by-step explanation:

-6 times 3 is -18 and 2/3 of -18 is -12

Your answer is -9.

2/3 (x) = -6
÷ 2
1/3 (x) = -3
×3
3/3 (x) = -9

And 3/3 = 1, which means x = -9
I hope this helps! Let me know if you have any questions :)

complete the number line model to find (-5) + 6.

Answers

Answer:

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

I think this is right


Find the unit vector e which is collinear to vector a = (6,8) , and has the same direction.

Answers

the unit vector e which is collinear to vector a = (6,8) , and has the same direction is  [tex]e=(\frac{3}{5} ,\frac{4}{5})[/tex] .

Step-by-step explanation:

Here we have ,  vector a = (6,8)  . We need to find  the unit vector e which is collinear to vector a = (6,8) , and has the same direction. Let's find out:

We know that for a vector [tex]a = (x,y)[/tex] the unit vector is given by :

⇒ [tex](\frac{x}{|a|} ,\frac{y}{|a|} )[/tex] , where |a| is modulus of vector a . So , Modulus of vector a is :

⇒ [tex]|a| = \sqrt{x^2+y^2}[/tex]

⇒ [tex]|a| = \sqrt{6^2+8^2}[/tex]

⇒ [tex]|a| = \sqrt{36+64}[/tex]

⇒ [tex]|a| = \sqrt{100}[/tex]

⇒ [tex]|a| =10[/tex]

Hence , unit vector is given by [tex](\frac{6}{10} ,\frac{8}{10})[/tex] or ,  [tex](\frac{3}{5} ,\frac{4}{5})[/tex] . Vector is already collinear as it's in same direction of original vector as :

⇒ [tex]e=(\frac{3}{5} ,\frac{4}{5})[/tex]

Therefore , the unit vector e which is collinear to vector a = (6,8) , and has the same direction is  [tex]e=(\frac{3}{5} ,\frac{4}{5})[/tex] .

I need help with my homework plis
Box Plots

Answers

Median 80 I forgot how to do the rest sorry

The area of a trapezium is 31.3cm if the parallel sides are of length 7.3cm and 5.3cm, calculate the perpendicular distance between them​

Answers

Answer:

4.968 cm

Step-by-step explanation:

Given area of prism = 31.3 cm

This problem can be solved by using formula to calculate area of trapezium which is given below

Formula to calculate area of prism =( sum of parallel sides * perpendicular distance between parallel side )/2

let the perpendicular distance between parallel side = X

sum of parallel sides = 7.3+5.3 = 12.6 cm

Therefore by using formula

31.3 = (7.3+5.3)*X/2

=> 31.3 * 2 = 12.6*X

=> X = 62.6/12.6 = 4.968

Hence perpendicular distance between parallel side  is 4.968 cm

find the equation in standard form of the line passing through the points 3,-4 and 5,1

Answers

Answer:

5x - 2y - 23 = 0

Step-by-step explanation:

Line is passing through the points [tex] (3,\:-4)= (x_1, \:y_1) \: \&\: (5,\: 1)= (x_2,\:y_2) [/tex]

Equation of line in two point form is given as:

[tex] \frac{y -y_1 }{y_1 -y_2 } = \frac{x -x_1 }{x_1 -x_2 } \\ \\ \therefore \: \frac{y -( - 4) }{ - 4 -1} = \frac{x -3 }{3 -5 } \\ \\ \therefore \:\frac{y + 4 }{ - 5} = \frac{x -3 }{ - 2 } \\ \\ \therefore \: \frac{y + 4 }{ 5} = \frac{x -3 }{ 2 } \\ \\ \therefore \: 2(y + 4) = 5(x - 3) \\ \therefore \: 2y + 8 = 5x - 15 \\ \therefore \: 5x - 15 - 2y - 8 = 0 \\ \red{ \boxed{ \bold{\therefore \: 5x - 2y - 23 = 0}}} \\ is \: the \: required \: equation \: of \: line \: in \: \\ standard \: form.[/tex]


[tex] 24{ \times }^{2} + 25 \times - 47 = - 8 \times - 3 - 53 [/tex]
please help​

Answers

Answer:     Multiply both sides of the given equation by ax−2. When you multiply each side by ax−2, you should have:

24x2+25x−47=(−8x−3)(ax−2)−53

You should then multiply (−8x−3) and (ax−2) using FOIL.

24x2+25x−47=−8ax2−3ax+16x+6−53

Then, reduce on the right side of the equation

24x2+25x−47=−8ax2−3ax+16x−47

Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.

so answer is -3

Step-by-step explanation: Hope I helped, Pls mark brainliest. And say thx. But its up to you.

Three tanks, A, B and C are used to store oil.
Tank A contains n litres of oil. Tank B contains (n + 150) litres of oil.
Tank C is empty.
Oil is pumped from tank A and from tank B into tank C so that
all three tanks contain the same amount of oil.
500 litres of oil are pumped from tank A into tank C.
Work out the value of n.

Answers

Final answer:

To solve this problem, we set up a system of equations representing the amount of oil in each tank. Using the fact that all three tanks end up with the same amount of oil, we determine that Tank A must have started with 1000 litres of oil.

Explanation:

You need to find the value of n which represents the amount of oil initially in Tank A, given that 500 litres are pumped from Tank A to Tank C, and that Tanks A, B, and C eventually contain the same amount of oil.

After transferring 500 litres from Tank A to Tank C, Tank A will have n - 500 litres left. Since tank C was empty and now has 500 litres, Tank B must also transfer enough oil to Tank C such that both B and C have the same amount of oil. Tank B started with n + 150 litres and must end up with the same amount as tank C, which we will refer to as x.

Therefore, we need to solve the following system of equations:

Tank A: n - 500 = x

Tank B: n + 150 - x = x

Tank C: 500 = x

From Tank C's equation, we know that x = 500. Substituting this into the equations for Tanks A and B gives us:

Tank A: n - 500 = 500

Tank B: n + 150 - 500 = 500

From Tank A's equation, we see that  n = 1000  litres.

Which function is equivalent to f(x)=-4(x+7)^2-6

Answers

Answer:

f(x) = - 4x² - 56x - 202

Step-by-step explanation:

We can simplify this quadratic function given in vertex form into standard form by simplifying the exponents and adding like terms.

f(x) = -4(x+7)^2 - 6

f(x) = -4(x^2 + 14x + 49) - 6

f(x) = -4x² - 56x - 196 - 6

f(x) = -4x² - 56x - 202

Answer: b

Step-by-step explanation: just took the quiz on egde.

What is the surface area of this design?
490in2
440in2
600in2
560in2

Answers

The answer is 440 in²

Here is what I added up!

25 + 4(40) + 4(20) + 100 + 75

I hope I helped :) Just comment if you have any questions and remember to vote me "brainliest" if you like my answer !!!

What is the length of AC on the number line

Answers

According to the given question, the length of AC on the number line is 5 units

The length of AC on the number line can be determined by subtracting the coordinate of point A from the coordinate of point C. Let's say point A is located at coordinate 2 and point C is located at coordinate 7. To find the length of AC, we subtract the coordinate of A from the coordinate of C: 7 - 2 = 5

Therefore, the length of AC on the number line is 5 units. Another way to think about this is by considering the distance between the two points. In this case, the distance between point A and point C is the same as the length of AC. If you have any further questions, please, let me know.

To know more about  length here

https://brainly.com/question/2217700

#SPJ2

Which function rule represents the data in the table below? Input (x) 1 2 3 4 5 Output (y) 9 15 21 27 33 • y = 4 + 5x • y = 3 + 6x • y = 5 + 4x • y = 6 + 3x

Answers

Final answer:

By substituting the input values into each of the provided function rule options, it becomes clear that only the function rule y = 4 + 5x correctly represents the data in the given table.

Explanation:

The question is asking which function rule represents the data in the given input and output table.

Let's test each option:

y = 4 + 5x: Replacing x by 1, we get y = 4+5*1 = 9 (It matches with the output table), Therefore this option seems to be the correct one, but let's check the other ones for confirmation. y = 3 + 6x: Replacing x by 1, we get y = 3+6*1 = 9 (But for x = 2, y becomes 15, which is not similar with the output table), therefore this isn't the correct function. y = 5 + 4x: Replacing x by 1, we get y = 5+4*1 = 9 (But again for x = 2, y becomes 13 which does not match with the output in the table), hence, not the correct function. y = 6 + 3x: Replacing x by 1, we get y = 6+3*1 = 9 (Once again, for x = 2, y becomes 12 which is not in the table), so it also isn't correct.

As a result, only the function rule y = 4 + 5x matches the pattern in the given table correctly.

Learn more about Function Rule here:

https://brainly.com/question/30349819

#SPJ12

Other Questions
Why does secondary succession occur faster than primary succession? Explain why thermal energy storage capacity of water is important to life on earth I know (a) Design a half-subtractor circuit with inputs x and y and outputs Diff and B out . The circuit subtracts the bits x y and places the difference in D and the borrow in B out .(b) Design a full-subtractor circuit with three inputs x , y , B in and two outputs Diff and B out . The circuit subtracts x y B in , where B in is the input borrow, B out is the output borrow, and Diff is the difference. An informational essay written in a formal tone for a school assignment would mean that the use ofappropriate language is an important consideration.contractions would be okay because it is for school.slang is okay since students will understand it.emotional language would be appropriate. Disclaimer: YOU DO NOT NEED TO ANSWER ALL OF THEM BUT PLEASE AT LEAST ANSWER 5 THANK YOU!!1. What is a characteristic of the physical geography of East and Southeast Asia?2. What major rivers are located in East and Southeast Asia?3. What archipelagos are located in East and Southeast Asia?4. What ports were important centers of trade in this region?5. How does the Ring of Fire affect the physical geography of this region?6. Why would navigable rivers and ports be important to economic development in this region?7. What is similar and different about political systems in East and Southeast Asia?8. Why is East and Southeast Asia home to such a variety of economic and political systems?9. What is similar and different about economic systems in the region of East and Southeast Asia?10. How have globalization, trade, and new technologies affected economic patterns in East and Southeast Asia?11. How is modern culture in East and Southeast Asia affected by ancient traditions?12. What traditional practices are still part of the culture in East and Southeast Asia?13. How does art and architecture in East and Southeast Asia reflect ancient traditions?14. What are some examples of new cultural traditions that have been introduced into East and Southeast Asia?15. What has changed about the cultural landscape of East and Southeast Asia because of globalization, trade, and new technologies? What are the primary ways to finance your business? A batch culture of E. coli was initiated with a medium containing 10 g/L of glucose, 2 g/L of ammonia, and 0.1 g/L of cells. At the end of culture, 0.1 g/L of glucose remained in the medium. A total of 5.1 g/L of E. coli were recovered. The elemental composition of the cells was determined to be (by mass) 53% C, 7.3% H, 12.0% N, and 19.0% O, with the remaining balance being ashes.a) Calculate the yield (by mass) of biomass based on glucose and nitrogen. b) Write down the stoichiometric equation for biomass formation from glucose and ammonia. c) Assume all the carbon that was not incorporated into biomass was used for energy generation and was completely oxidized to carbon dioxide. Also, assume that each mole of glucose produces 38 moles of ATP when completely oxidized to carbon dioxide. Calculate the biomass yield coefficient based on ATP. Joey is trying to prove that CATS is an isosceles trapezoid. He starts by providing that line segment AT is parallel to line segment CS and that line segment AS is about the same as line segment CT. Based on that information, is this enough to prove that CATS is an isosceles trapezoid Triangle ABC was translated according to the rule (x, y) = (x + 1.5, y-3.5) to create the image AA'B'C' shown on thecoordinate planeWhich graph shows the pre-image, ABC? Si Ana diese 10 libros a Alicia, ambas tendran la misma cantidad de libros. Si Ana tuviera 10 libros ms, tendra el doble que Alicia. Calcula cuantos libros tiene cada una. Olivia wants to find out whether a substance will fluoresce. She says she should put it in a microwave oven. Do you agree with her? Why or why not? Which choice best illustrates Frederick Douglasss viewpoint in the passage? People enslaved in a city are better educated than those on a plantation. People enslaved in cities are treated better because slaveholders worry what others think. People enslaved in cities are treated worse than people enslaved on plantations. Life is the same for enslaved people whether in the city or on a plantation. Product of 3x - 1 and 4x-3x+ 8 I NEED HELP WITH ANGLES!! Please help fast!!!! Does the 1st or 2nd sentence use the best prepositional phrase placement? The pan on the stove needs to go back in the cupboard. or The pan needs to go back in the cupboard on the stove. the 1st the 2nd The area of the shaded circle below is 78.5 square inches. The area of the large circle is 314 square inches.A shaded circle is inside of a larger unshaded circle.What is the probability that a point chosen at random will be in the shaded region Given the equation:H+ + OH- -- H:0Which type of reaction does the equation epresent? Frequent communication of expectations should be verbalized, modeled, and documented to all subordinates and employees across the organization; however, nonperforming employees may need ______________ counseling of each expectation, norm, and performance standard. Group of answer choices both peer mentor and explicit both peer mentor and explicit peer mentor aggressive explicit The structure labeled A in this diagram of a virus is called the a. RNA envelopeb. Capsidc. Nuclear membraned. Viral genome