Use the Triangle Inequality Property to determine whether a triangle can be formed with the given side lengths. 4 m, 8 m, 9 m *

Answers

Answer 1

Answer:

Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as scalene, isosceles, equilateral and so on.

The triangle inequality property states that the sum of any two sides of a triangle must be greater than the third side. If a, b and c are the sides of a triangle then:

a + b > c;   a + c > b;   b + c > a

Given a triangle with side length 4 m, 8 m, 9 m:

4m + 8m = 12m > 9m

4m + 9m = 13m > 8m

8m + 9m = 17m > 4m

Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m.


Related Questions

Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 5700(0.94)

Answers

Answer:

decay, 6%

Step-by-step explanation:

0.94 < 1

1 - 0.94 = 0.06


Miles is playing catch with his friend. He throws the baseball from point A to point B
shown on the coordinate plane, where each unit represents 1 yard. How far does Miles throw the baseball? Round your answer to the nearest yard.

Answers

Answer:

1234567890

Step-by-step explanation:

1234567890

Marissa bought 60 horns for her New Year’s Eve party for $83.40. She needs to purchase an additional 18 horns for the party at the same unit rate. Choose True or False for each statement.
Marissa will spend $1.49 for each horn.

Marissa will spend $25.02 on the new horns.

Marissa will have a total of 78 horns.

Marissa will spend a total of $108.42 on horns for the party

Answers

Answer:

False

True

True

True

$83.40/60=1.39 coast of each horn is $1.39 1st answer is: FALSE

18•1.39=25.02$ for additional 18 horns at the same rate, Marissa will spend 25.02$ 2nd answer is : TRUE

60+18=78 Marissa will have total of 78 horns. 3rd answer is: TRUE

83.40 + 25.02= 108.42$ Marissa will spend total of 108.42$ for all horns.
4th answer: TRUE


Lindsey and Justin want to collect data to find out the favorite afterschool activities of 7th grade students at Schofield Middle School. Which
group of people should Lindsay and Justin survey to achieve the most accurate results?

A: all of the students in band.

B: a random selection of two girls and two boys for each 7th grade class.

C: a random selection of two girls and two boys from the chess club.

Answers

Lindsey and Justin must survey a random selection of two girls and two boys for each 7th grade class to get the most accurate results, so the correct choice is B.

Statistics

This is so because, since precise information is required regarding a particular group of students (7th graders), it would be correct to target members of that group to obtain the first samples of information.

That is, by going to the most reliable source, a more reliable sample would be obtained.

Learn more about statistics in https://brainly.com/question/11161989

7(82-60)+3³ Evaluate the expression

Answers

Answer: 181

Step-by-step explanation: hi

A search and rescue drone can scan 0.5 hectare in 2 minutes. How many hectares per minute can the drone scan? 5/10 ha | 2 min = 5/10×2/1 yes or no

Answers

Answer:

Drone will take 0.25 hectare per minute to scan the area.

Step-by-step explanation:

By using unitary method,

A search and rescue drone takes 2 minutes to scan the area = 0.5 hectare.

Area scanned by the drone in 1 minute = [tex]\frac{\text{Total area scanned}}{\text{Total time taken}}[/tex]

                                                                 = [tex]\frac{0.5}{2}[/tex]

                                                                 = 0.25 hectare per minute

Therefore, drone will take 0.25 hectare per minute to scan the area.

(4a + 2)(6a^2-a + 2)

Answers

Answer:

24a^3+8a^2+6a+4

Step-by-step explanation:

(4a+2)(6a^2-a+2)

Distribute parentheses

6a^2+4a(-a)+4a :2+2 :6a^2+2(-a)+2 :2

Apply minus-plus rules

=4 6a^2a-4aa+4 :2a+2 6a^2-2+2 .2

Complete the equation of the line through (2, -2) and (4, 1)

Answers

Answer:

y=1.5x-5

Step-by-step explanation:

how do I solve this using the Pythagorean theorem​

Answers

Answer:

x=3

Step-by-step explanation:

First would need to convert the radical into a number.

And since if you have a perfect square of a radical it goes outside the square root sign, you would take the 3 and square it to make 9 and then take the 2 inside the square root sign and multiply so you have the square root of 18|

Since we have [tex]\sqrt{18}[/tex] as the Leg c we would need to square it, squaring a square root sign would just cause them to be cancelled out and you being left with 18, afterwards find the square of 3, which is 9

18-9=9

square root of 9 = 3

Please help me with this

Answers

Given:

The equation is:

[tex]3^x\times 9=3^{2n-1}[/tex]

To find:

The value of n in terms of x.

Solution:

We have,

[tex]3^x\times 9=3^{2n-1}[/tex]

It can be written as

[tex]3^x\times 3^2=3^{2n-1}[/tex]

[tex]3^{x+2}=3^{2n-1}[/tex]                [tex][\because a^ma^n=a^{m+n}][/tex]

On comparing the exponents, we get

[tex]x+2=2n-1[/tex]

Add 1 on both sides.

[tex]x+2+1=2n-1+1[/tex]

[tex]x+3=2n[/tex]

Divide both sides by 2.

[tex]\dfrac{x+3}{2}=n[/tex]

Therefore, the value of n is terms of x is [tex]n=\dfrac{x+3}{2}[/tex].

I need help with this plz help

Answers

Answer:

Septagon or irregular polygon

When the other quantity increases the other quantity also iwhen the other quantity increases the other quatity also increases this shows ________ncreases this shows

Answers

Answer:

DIRECT PROPORTION

Step-by-step explanation:

Direct proportion is when an increase in the independent variable causes an increase in the dependent variable.

the equation for direct proportion is :

y = bx

y = dependent variable

b = constant

x = independent variable

for example if x = 3 b = 4

y = 12

someone pls help me i need to find the amount of hours

Answers

Answer:

5.65 hours

Step-by-step explanation:

Given: Initial number of bacteria = 1000

N=1000(2)

To find: Time taken to: increase to 50,000

Solution: N=1000(2)

50,000=1000(2)Taking log,log 50,000 = log 1000(2)4.7 = 3 + _  log 2_ = 1.7/log 2 = 5.65

Answer = 5.65 hours

_ = symbol after the two in the brackets that is high up and smaller.

(12 + 31). Find the midpoint m of 21 (8 + 5i) and 22 Express your answer in rectangular form.​

Answers

I think the answer is 12

Find the measure of each angle in the isosceles trapezoid.
(I found one already)

Answers

Answer:

∠A = 116°

∠B = 116°

∠C = 64°

Step-by-step explanation:

since it is an isosceles trapezoid, ∠C = ∠D = 64°

∠A would be same side interior to ∠D so it would be 180° - 64° = 116°

∠B = ∠A = 116°

The  measure of each angle in the isosceles trapezoid are; ∠A = 116°

∠B = 116° and ∠C = 64°

What is isosceles trapezoid?

Due to the figure being isosceles trapezoid, it is symmetric.

Isosceles trapezoid has its two rest sides(which aren't necessary parallel) are of equal length.

Since it is an isosceles trapezoid, ∠C = ∠D = 64°

Here we can use the  symmetric property of the isosceles trapezoid and the fact that a triangle has sum of its angles as 180°

We have ∠A that would be same side interior to ∠D

Thus, it would be 180° - 64° = 116°

∠B = ∠A = 116°

Learn more about isosceles trapezoid here:

brainly.com/question/4084820

#SPJ2

asap 25 points and brainliest (financial math)
What is a downside of receiving a tax refund?

Answers

Tax returns aren't gifts. They're refunds you get because the IRS withdrew too much from your paychecks or had withdrawals from other investment accounts. While it may seem like a great thing to have a tax return come each April, you pay for it the other 11 months of the year.

“A refund means you're giving your cash flow and income to the government in an interest-free loan.” The interest rate on one-year U.S. bonds is around 1.5%, so any interest the government could hypothetically pay on that loan would be very small: about $15 for every $1,000 in your refund.

Answer the following question :>

Answers

Answer:

9.5 cm

Step-by-step explanation:

simply add together

2.1+2.1+1+3.3+1

9.5

pls give brainliest

B: 9.5

EXPLANATION:
To find perimeter, add all numbers.

2.1 + 2.1 = 4.2

4.2 + 1 + 1 = 6.2

6.2 + 3.3 = 9.5

Thats all the numbers :>

Hope this helps!

A cone has a height of 5 cm, and the radius is 2 cm. Calculate the volume.

Answers

Answer:

20.9 cm^3

Step-by-step explanation:

the answer is 20.9cm^3.

you will explain how to go about solving for the unknown letters A B C D using your angle vocabulary /concepts. Organize your sentences in a way that clearly emphasis your understanding of this unit.
Angle vocabulary/ concepts :

Supplementary Angle

Transverse Angles

Complimentary Angle

Triangle Sum Theorem

Right Angle

Straight Angle

Vertical Angel

Congruent

Parallel Lines

Answers

Answer:

To find c° go with Triangle Sum Theorem .

To find d° go with Supplementary Angle with 58°.

To find a° go with Transverse Angles.

To find b° go with Transverse Angles .

Step-by-step explanation:

c° = 180- 58 - 48 = 74°

b° = 48°

d° = 180 - 58 = 122°

a° = 58°

Write the equation in slope-intercept form: 2x + y =3
y= 2x + 3
y= -2x -2
y= -2x + 3
y= 2x-3

Answers

it is y=-2x+3 because once you take the 2x to the other side it becomes negative.

9. The ratio of boys to girls in Mrs. Reeves's class is 4 to 5. There are 20 girls in the
class.
What is the total number of students in Mrs. Reeves's class?

Answers

Answer:

boys : girls

4 : 5

multiply by 4

16 : 20

total = 36

Answer:

80

Step-by-step explanation:

cramers rule
hurry up plzzz​

Answers

Answer:

Answers provided below

Step-by-step explanation:

From the simultaneous linear equation, we have the coefficient matrix as;

(3 4 5)

(2 -1 8)

(5 -2 7)

The x-matrix is Dx is given by;

(18 4 5)

(13 -1 8)

(20 -2 7)

Similarly, the y-matrix Dy is given by;

(3 18 5)

(2 13 8)

(5 -20 7)

Also,the z-matrix Dz is given by;

(3 4 18)

(2 -1 13)

(5 -2 -20)

Determinant of the coefficient matrix from online determinant calculator is;

D = 136

Determinant of the x-matrix from online determinant calculator is; Dx = 92

Determinant of the y-matrix from online determinant calculator is; Dy = 696

Determinant of the z-matrix from online determinant calculator is; Dz = 576

From crammers rule;

x = Dx/D = 92/136

y = Dy/D = 696/136

z = Dz/D = 576/136

During a walk-a-thon, Noah's time in hours, t, and distance in miles, d, are related by the equation ⅓ d = t. A graph of the equation includes the point (12, 4). Identify the independent variable. What does the point (12, 4) represent in this situation? What point would represent the time it took to walk 7 ½ miles?

Answers

Answer:

The Indapendent virable is: t

Noah took 4 hours to walk 12 miles

(7 1/2, 2 1/2)

Step-by-step explanation:

I hope this is right!

The point that represents the time it took to walk 7 ½ miles is (2.5, 7.5).

What is coordinate?

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

Here,
The independent variable in this situation is time (t).

Point (12, 4) represents that Noah walked for 4 miles in 12 hours.

To find the point that represents the time it took to walk 7 ½ miles, we need to solve for t in the equation ⅓ d = t.

Substituting d = 7.5, we get:

⅓ (7.5) = t

Simplifying, we get:

t = 2.5

Therefore, the point that represents the time it took to walk 7 ½ miles is (2.5, 7.5).

Learn more about coordinate here:

brainly.com/question/13498438

#SPJ3

Please help, prove how angle E and angle R are congruent

Answers

Answer:

.

Step-by-step explanation:

In ΔEMR and ΔNMR

MN ≅ MA              Given

∠EMR ≅∠NMR       Reflexive property

ME ≅ MR                 Given

ΔEMR ≅ ΔNMR       S A S congruent  - side Angle side

∠E ≅ ∠R  Corresponding Part of Congruent Triangles

Simplify the expression.
5 + 18 divided 3x2

Answers

Answer:

3.83333333333

Step-by-step explanation:

Answer:

5+18/(3)(2)

=8

What is the measure of abc?

Answers

Answer:

B. 260°

Step-by-step explanation:

Inscribed angle is half the measure of the intercepted arc

mABC = 360° - mAC = 360° - 2*m∠ABC = 360° - 2(50°) = 260°

Correct choice is B

PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

22,000 miles

Step-by-step explanation:

Circumference of a circle: 2πr (r is the radius)

Substitute the length of the radius given, which is 3500. Also, substitute the approximate value of π, which is 3.14.

Circumference = 2 * 3.14 * 3500

Circumference = 21980

This rounds to about 22,000, so the answer is 22,000 miles.

I hope this helps! Feel free to ask any questions!

Answer: 22,000 miles

Step-by-step explanation:

Circumference of circle = 2πr

2 × 22/7 × 3500

22/7 × 3500 = 11000

2 × 11000 = 22000

The circumference would be 22,000 miles.

OR

Circumference of circle = 2πr

2 × 3.14 × 3500

6.28 × 3500 = 21,980

21980 to the nearest 1000 is 22000

The circumference would be approximately 22,000 miles.

-3 < n < 1
n is an integer
Write down all the possible values of n

Answers

Answer:

n ε{-2,-1,0} with n being integer

4.What is .08 written as a percent? (Hint: add the "%" symbol or it will be marked wrong.)

Answers

Answer:

8%

Step-by-step explanation:

.08 x 100 = 8%

factorise the following please due in 30min c^2+d^2. e^2/25-f^2/36. and the square root of x-4 thanks no link please​

Answers

Answer:

Step-by-step explanation:

1) c²+d² is not factorable

2) e²/25 - f²/36 = e²/5² - f²/6² = (e/5)² - (f/6)² = (e/5 + f/6) (e/5 - f/6)

3) [tex]\sqrt{x-4}[/tex] nothing can be done

Other Questions
Airline Fatalities One study showed that in a certain year, airline fatalities occur at the rate of 0.011 deaths per 100 million miles. Find the probability that, during the next 100 million miles of flight, there will be August 1789 National Assembly adopts Declaration of Rights of men what are some rights this document guarantees French citizens Dona wrote the characteristics of two types of galaxies as shown below: Type A: Has a large flattened core Type B: Does not have a regular shape Which statement is correct? Type A is an irregular galaxy and Type B is a lens galaxy. Type A is a lens galaxy and Type B is an irregular galaxy. Type A is a spiral galaxy and Type B is an elliptical galaxy. Type A is an elliptical galaxy and Type B is a spiral galaxy. What are the advantages and disadvantages of a partnership? Plz help Need Answer Quick N. 6n =30 pls I need help what is the history of banepa HELPPExplain how the story The City Mouse and The Country Mouse represents Horaces beliefs about the Roman Empire. easy 5th grade math please look at photo and show work. Giving brainliest!! PLEASE HELP (COMPLETE QUESTION B) 5TH GRADE MATH. GIVING AWAY BRAINLIEST Please help need answers ASAP The Plimsoll mark is placed on the side of all large commercial ships. Afterreading this article and looking at the modern Plimsoll mark, why do youthink there are so many different marks for water at different levels? calculate the length of an arc with subtend the Circle of 60 degree at the centre of a circle of radius 1/2 metre Describe the main theme of a raisin in the sun with evidence from text to support What acceleration can a 1-newton force give to a 1-kilogram object? 20 = 2(n 3) solve. Why did the US declare war on Spain in 1898? According to Investment Digest, the arithmetic mean of the anual return for common stocks over an 85-year period was 9.5%, but the value of the variance was not mentioned. We do know that 20% of the annual returns were below 8%. Assume that this distribution is nomal. 70% of the annual returns will be higher than what value? Stono Rebellion=What happened? Who was involved? What was the outcome? 2:2x11(6+5)+1 HEELLLLLLLLPPPP