Which sets of side lengths could form a triangle?
A. 3 centimeters, 4 centimeters, 9 centimeters
B. 3 centimeters, 6 centimeters, 9 centimeters
C. 4 centimeters, 5 centimeters, 9 centimeters
D. 4 centimeters, 6 centimeters, 9 centimeters

Answers

Answer 1

Answer:

D. 4 centimeters, 6 centimeters, 9 centimeters

Step-by-step explanation:

Considering side length for forming a triangle, most of the time it is about Triangle Inequality Theorem, which for 3 sides length a,b,c, it must satisfy the following set of inequalities:  

[tex]a+b>c\\a+c>b\\b+c>a[/tex]

By checking each of them only D satisfy:

[tex]4+6=10>9\\6+9=15>4\\9+4=13>6[/tex]

For simplicity you only have to check if the two shortest sides add up to be larger than the longest side:

[tex]4+6>9[/tex]


Related Questions

Explain how you would combine like terms and use properties of operations to solve the inequality 5(2t + 3) - 3t < 16

Answers

Step-by-step explanation:

step 1. 10t + 15 - 3t < 16 (distributive property)

step 2. 7t +15 < 16 (combine like terms)

step 3. 7t < 1 (subtract 15 from both sides)

step 4. t < 1/7 ( divide both sides by 7.

(You must show equality properties in work so I can earn full credit)


Solve the equation. Enter your answer in the box.


x=³√27


x = _____

Answers

Answer:

The cube root of 27 is 3

Graph the system of
equations on the graph
and determine the
solution.
Y = -4x +2
Y =X +3

Answers

Answer:

(-0.2, 2.8)

General Formulas and Concepts:

Algebra I

Reading a Cartesian planeCoordinates (x, y)Solving systems of equations by graphing

Step-by-step explanation:

Where the 2 lines intersect is the solution to the systems of equations.

Topic: Explain all the steps taken to solve the problem below. The measure of the interior angles of the polygon ABCDE are shown below. Determine the measure of angle E.​

Answers

9514 1404 393

Answer:

  ∠E = 156°

Step-by-step explanation:

The sum of angle measures in a pentagon is 540°, so we have ...

  95 +(7x -4) +90 +(9x -6) +(3x +23) = 540

  19x +198 = 540

  19x = 342 . . . . . . . subtract 198

  x = 18 . . . . . . . . . . .divide by 19

Then the measure of angle E is ...

  ∠E = (9x -6)° = (9·18 -6)°

  ∠E = 156°

1/4 divided by 2/5 fraction form

Answers

Answer:

5/8.

Hope this helped.

Please help me you don't have to show your work just pls tell me the answer

Answers

Answer:

A

Step-by-step explanation:

8 pink : 7 orange

1. What is the value of the expression ƒ2 + 8 if ƒ = 7?

Answers

Answer:

f=8/5

Step-by-step explanation:

f*2+=f7

2f+8=f*7

2f+8=7f

2f=7f-8

2f-7f=-8

-5f=-8

Please explain clearly assignment is due today! so quick

Answers

Answer:

No

Step-by-step explanation:

Use 2/5...

2 times 2 is 4

5 is greater than four

but 4/5 and 2/5 cannot be replaced with 0

Hence this claim is busted

i hope this helps!

What must be on the blank to make statement true.. (3x+_)(xx-4)=3x²-11x-4?

A.1
B.-b
C.13
D. - 13

Pls help me​

Answers

Answer:

(3x+4)(x-4) is your answer

Step-by-step explanation:

3x²-11x-4

=3x²-12x+x-4

=3x(x-4)+1(x-4)

=(x-4)(3x+4)

A hot air balloon is at an altitude of

100 1/5 yards. The balloon's altitude decreases

by 10 4/5 yards every minute. Determine the

number of minutes it will take the balloon to reach an altitude of 57 yards.

Answers

Answer:

It will take 4 minutes for the balloon to reach an altitude of 57 yards.

Step-by-step explanation:

Initial altitude:

100 1/5 yards = 100 + 0.2 = 100.2 yards.

Decrease per minute:

10 4/5 yards = 10 + 0.8 = 10.8 yards.

So, after t minutes, the height of the ballon is given by:

[tex]h(t) = 100.2 - 10.8t[/tex]

Number of minutes it will take the balloon to reach an altitude of 57 yards.

This is t for which [tex]h(t) = 57[/tex]. So

[tex]h(t) = 100.2 - 10.8t[/tex]

[tex]57 = 100.2 - 10.8t[/tex]

[tex]10.8t = 43.2[/tex]

[tex]t = \frac{43.2}{10.8}[/tex]

[tex]t = 4[/tex]

It will take 4 minutes for the balloon to reach an altitude of 57 yards.

Another one the last one ASAP

Answers

Answer:

13m²

Step-by-step explanation:

Area=6.5*4÷2=13

Answer:

13m

Step-by-step explanation:

1/2 × bas × perpendicular height

: Which expression represents the factorization of 56st – 21t?
A: . 7(8st - 3t)
B: 7t(8s - 3)
C: 3t ( 18s - 7)
D: 7s ( 8t - 3t)

Answers

Answer:

B: 7t(8s - 3)

Step-by-step explanation:

Method 1: check by expanding each of them

A: 7(8st - 3t)=56st-21t

B: 7t(8s - 3)=56st-2t

C: 3t ( 18s - 7)=54st-21t

D: 7s ( 8t - 3t)=56st-21st

Method 2: the common factors of 56st and 21t is: 7t

56st/7t=8s

-21t/7t=-3

56st-21t=7t(8s-3)

is 1/2 x 3/4 equal to 1, less than 1, more than 1

Answers

Answer:

3/8 so it is less than 1

Step-by-step explanation:


The population of a country is increasing at a rate
of 1.7% per year. By
what percentage does it
increase over 10
years?​

Answers

Answer:

17%

Step-by-step explanation:

Use distributive property 25(20-4p)+8

Answers

Answer:

508-100p

Step-by-step explanation:

The volume of the box is 448 ft'. Find its length and width.
4 ft
X-6
X
The box has a length of
ft and a width of
ft.
What is length and width

Answers

Answer:

hi

Step-by-step explanation:

Find an answer to your question The volume of the box is 448 ft'. Find its length and width. 4 ft X-6 X The box has a length of ft and a width of ft.

hope this helps

Ramon has 7/8 of a cup of cottage chesse. How many 1/4 cup servings can he make?

Answers

I don’t know u tell me that’s the answer

Find the slope.

Bonus: Write the equation of the line.

Answers

Answer:

1 so y=1+b

Step-by-step explanation:

9514 1404 393

Answer:

slope: -1equation: y = -x +3

Step-by-step explanation:

The slope is the ratio of "rise" to "run". The "rise" is the vertical distance between two points; the "run" is the corresponding horizontal distance.

Here, we see point A is (0, 3) and point B is (1, 2). Then the "rise" is 2 -3 = -1, while the "run" is 1 - 0 = 1. The slope is the ratio ...

  m = rise/run = -1/1 = -1

The slope of the line is -1.

__

The point A is the y-intercept, where the line crosses the y-axis. It tells us the value of y is 3 when x=0. So, we can write the equation in slope-intercept form as ...

  y = mx + b . . . . . where m is the slope (-1) and b is the y-intercept (+3)

  y = -x +3

How to make 10.74 in two different ways?

Answers

Answer:

Step-by-step explanation:

1074/100

1.074*10

0.1074*10

107.4/10

10740/1000

hi, i need this quickly, thanks so much

Answers

What question? Like 1 or all of them

Please Help! :)

y = x times what

Answers

Answer:

Step-by-step explanation:

-8/32 = -1/4

The equation is : y = -1/4 x

Now they say, x = 28 so substitute x as 28 and solve

for when y = -5, substitute -5 as y and solve

Do this for all

Find the equation of the line that is perpendicular to the x-axis and passes through the point (-10,-1). Give the full equation as your answer. The equation is _______________

Answers

Answer:

x = -10

Step-by-step explanation:

First, determine the slope of the answer. The x-axis is a horizontal line, thus the new line must be vertical. All vertical lines are represented by the equation x = a number. That number represents the x-value of all the points the vertical line passes through.

So, since the line passes through (-10, -1), take the x-value of that point and put it into that equation. Thus, x = -10.

Sounds off topic but I'm feeling sad today, my teacher gave me a project and springboard for homework and I'm crying rn because of how much stress and pressure for me none of my family help me because they don't understand English I wish for positive things love you all <3

Answers

Answer:

man i get that- but just try and keep your head up!! you got this!!

Step-by-step explanation:

have cute picture of a cat!!

Things are only hard if you make them, so simply tackle it like the hulk in avengers: age of Ultron! Besides, with as bright of a head as you have on your shoulders, it should be a piece of cake! Also while doing the project, try listening to music. That way, it makes the time pass by and before you know it, your in the teachers room with that A+ project. Anyway, I wish you the best of luck and hope you have a wonderful day! :)

what type of angle is this

Answers

Answer:

Straight

Step-by-step explanation:

If the angle is flat or 180 degrees, it is straight

If the angle is like an L or 90 degrees, it is right

If the angle is less than 90 degrees, it is acute

If the angle is more than 90 degrees, it is obtuse

Hope this helps!!

Answer:

IT is a straight angle because it is 180 degrees

Step-by-step explanation:

HELP PLEASE I GOT CACA WIFI
Question-
If x = 4 units, y = 8 units, and h = 7 units, find the area of the parallelogram shown above using decomposition.
answer choices-
A. 28 square units
B. 56 square units
C. 84 square units
D. 112 square units

Answers

Answer:28

Step-by-step explanation:

hope this helpes

Janet, an experienced shipping clerk, can fill a certain order in 7 hours. Jim, a new clerk, needs 9 hours to do the same job.
Working together, how long will it take them to fill the order?

Answers

Answer:

zhdhsgscsisgege8djdhshsyw7273yeh3737eyd

A rectangle has an area 12cm². If the length of the rectangle is ( x + 1 )cm and the width is x cm, find the possible value(s) of x . Show the working please thank you

Answers

x can be 3 because:
(3+1)(3)=(4)(3)=12
I believe that is the only possible value for x.
Good luck to you!

Answer:

x can be 3 or (-4) because

area of a rectangle= length × breadth

12=x×(x+1)

12=x^2+x

x^2+x-12=0

x^2 +4x-3x-12=0

x(x+4)- 3(x+4)=0

(x+4)(x-3)=0

(x+4)=0 or (x-3)=0

Therefore, x=(-4) or 3

Since, the dimensions of a rectangle cannot be negative, x=3.

Therefore, the width of a rectangle(x)=3 cm,

the length of a rectangle(x+1)=(3+1)=4 cm

Pls mark me as the brainliest.

please help asap!!!!!!

Answers

Answer:

one point will be on (3,2) another on (5,3) and 1 more on (6,6)

Step-by-step explanation: not sure if this is 100% correct or not

PLEASE HELP ME AND SHOW YOUR WORK

Answers

Answer:

B

Step-by-step explanation:

Hope the picture helps!

Use the distributive property to fill the blanks. 3x(8-1)=(3x_)-(3x_)

Answers

4 and 6 this is the correct answer