Determine if the side lengths could form a triangle. Use an inequality to prove your answer.



a) 16 m, 21 m, 39 m



b) 34 km, 27 km, 58 km



c) 29 ft, 38 ft, 9 ft

Answers

Answer 1

9514 1404 393

Answer:

  a) no

  b) yes

  c) maybe (no)

Step-by-step explanation:

There are two versions of the triangle inequality. One requires ...

  a + b > c

for any triple of side measures a, b, c.

The other allows ...

  a + b ≥ c

which admits "triangles" that have zero height and look like line segments.

Most questions asking "do these lengths form a triangle" are concerned with the "greater than" case, and disallow the "or equal to" case.

__

a)

  [tex]16+21=37\ngtr39\qquad\text{not a triangle}[/tex]

b)

  [tex]27+34=61>58\qquad\text{could be a triangle}[/tex]

c)

  [tex]9+29=38\ge38\qquad\text{could be a triangle if "equal to" is allowed}[/tex]


Related Questions

10. +
10. LCM and GCF
Sweet Charlotte has 24 pounds of popcorn, 36 pounds of fudge,
and 144 pounds of lollipops. They will ship out boxes that
contain all 3 items. Each box will have the same amount of
popcorn, fudge, and lollipops. What is the max number of boxes
they can ship out?
A 2 boxes B. 4 boxes C 12 boxes D. 24 boxes
A
B

Answers

Answer:

12 boxes or C.

Step-by-step explanation:

Max = divide.

GCF=12.

LCM = 144.

Difference:

144/12 or 12.

So 12 boxes

Hope this helps :D

Is this a function?
[tex]y= -3x^{2} +10[/tex]

Answers

Answer:

y=-3x^2+10 is a quadratic function, so Yes it is a function.

Please I'm so bad at math-

And explain it to me so I understand it next time. :)

Answers

Answer:

i dont even know chife

Step-by-step explanation:

     

A cookie recipe calls for 3 eggs
and makes 48 cookies. About
how many eggs would you need
to make 216 cookies?

Answers

Answer:

You would need about 13 eggs.

Step-by-step explanation:

216 cookies would be taking the original recipe and making 4 and a half batches. So we multiply 3 by 4.5 to get 13.5.

= Find the slope of a line that goes through the (-3,2) and (1,5)

PLz helpp Im confused on this

Answers

Answer:

-2/3 (fraction)

Step-by-step explanation:

Answer:

The slope is [tex]\frac{3}{4}[/tex].

Step-by-step explanation:

[tex]m=\frac{rise}{run}=\frac{5-2}{1+3}=\frac{3}{4}[/tex]

Hope this helps.

30 treadmills to 36 elliptical machines ratio simplest form

Answers

Answer:

5 to 6 or 5:6 or 5/6

Step-by-step explanation:

30/36 = 15/18 = 5/6

Answer:

5 treadmills to 6elliptical machines

Step-by-step explanation:

En un juego se tiene una ficha, donde un lado dice ganar y otro dice perder. Si se ha lanzado 3 veces la ficha y en todos a salido el lado que dice ganar. ¿Cuál es la probabilidad de que en el cuarto lanzamiento también salga el lado que dice ganar?

Answers

Answer:

no existe una probabilidad ya que es un juego de azar pero si queres la cuarta victoria deberias calcular muchas cosas como el angulo para tirar la ficha y calcular la fuerza etc

Step-by-step explanation:


What is 40% of 5?
i need help

Answers

Answer:

2

Step-by-step explanation:

heeeeeeeeeeeeeeeeeeeeeelp

Answers

Answer:

-2

Step-by-step explanation:

what's the slope of
(4,5) & (-1,-5)
helppppp

Answers

Answer:

the slope is 2 :)

Step-by-step explanation:

Answer:

it's 2

Step-by-step explanation:

Solve the following equations using the partial quotients strategy.
1. 8,397 ÷ 27 = __________ 2. 9,396 ÷ 18 = __________ 3. 8,442 ÷ 14 = __________

Answers

Answer:

1. 8,397 ÷ 27 =311

2. 9,396 ÷ 18 =522

3. 8,442 ÷ 14 =603

Step-by-step explanation:

PLEAS HELPPPPP NOWW!!!!!!Liz's resting heart rate is 64 beats per minute. During a recent workout, she measured her heart rate to be 112 beats per minute. By what percentage did her heart rate increase during her workout?

Answers

Answer:

75%

Do you need the work



how many solutions to that problem

Answers

Answer:

NO solution

this is absolute value meaning whatever is in the signs l    l   will come out to a positive. THis cant posibly equal a negative

Step-by-step explanation:

For which values of x is the expression undefined?
x2 – 49
x2 – 16

Answers

You meant to say x^2 - 49 and the second binomial is x^2 - 16.

x^2 - 49 = (x - 7) (x + 7).

Set each factor to 0 and solve for x individually.

x - 7 = 0

x = 7

x + 7 = 0

x = -7

Do the same for x^2 - 16.

Here is the set up:

x^2 - 16 = (x - 4) (x + 4).

Take it from here.

Select the equation which represents the graph.
Question 1 options:

A: y − 3 = 3/2(x − 4)

B: y − 3 = 2/3(x − 4)

C: y − 3 =− 2/3(x − 4)

D: y − 3 = −3/2(x − 4)

Answers

Answer:

B. [tex] y - 3 = \frac{2}{3}(x - 4) [/tex]

Step-by-step explanation:

We can create an equation to represent the graph in point-slope form, given as [tex] y - y_1 = m(x - x_1) [/tex], by using a point (x1, y1) on the line, (4, 3) and the slope (m) of the line.

Let's find slope using the two points (4, 3) and (-2, -1).

[tex] slope (m) = \frac{y_2 - y_1}{x_2 -x_1} = \frac{-1 - 3}{-2 - 4} = \frac{-4}{-6} = \frac{2}{3} [/tex]

Substitute m = ⅔, x1 = 4, and y1 = 3 in [tex] y - y_1 = m(x - x_1) [/tex].

The equation that represents the graph would be:

✅[tex] y - 3 = \frac{2}{3}(x - 4) [/tex],

Solve
28 - K _> 7(K - 4)

Answers

Answer:

Solving the inequality [tex]28-K\geq 7(K-4)[/tex], we get [tex]\mathbf{K\leq 7}[/tex]

Step-by-step explanation:

We need to solve the inequality [tex]28-K\geq 7(K-4)[/tex]

Using the BODMAS rule, first we will solve the bracket:

[tex]28-K\geq 7(K-4)\\28-K\geq 7K-28[/tex]

Now, we will subtract 28 from both sides

[tex]28-K-28\geq 7K-28-28\\-K\geq 7K-56[/tex]

Subtracting -7k on both sides

[tex]-K-7K\geq 7K-56-7K\\-8k\geq -56[/tex]

Finally, divide both sides by -8 and inverse the inequality, as we are dividing with a minus digit.

[tex]\frac{-8K}{-8}\leq \frac{-56}{-8}\\K\leq 7[/tex]

So, solving the inequality [tex]28-K\geq 7(K-4)[/tex] we get [tex]\mathbf{K\leq 7}[/tex]

There are 89 students in the Oakwood Middle School band. The number of boys in the band is 5 more than twice the number of girls. What is the number of boys in the band

Answers

Answer:

61 boys

Step-by-step explanation:

x=girls

2x+5+x=89

3x+5=89

3x=84

x=28

28 x 2 = 56

56+5=61

The number of boys in the band will be 61.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that there are 89 students in the Oakwood Middle School band. The number of boys in the band is 5 more than twice the number of girls.

The equation can be formed as below,

2x+5+x=89

3x+5=89

3x=84

x=28

The number of boys will be,

B = 2x + 5

B = 28 x 2 + 5

B = 56+5=61

To know more about an expression follow

https://brainly.com/question/15059152

#SPJ2

what is the fraction of 23%​

Answers

Answer:

23/100

Step-by-step explanation:

is this what u mean?

Answer: is 23/100

im rite

on

ma

mama

It costs $3.75 for 25 oz. of candy or $6.30 for 90 oz. of candy. Which is
a better buy?*
O 25 oz.
O 90 oz.

Answers

Answer:

90 OZ.

Step-by-step explanation:

You have to divide the ounces by the price to see how much $1 per ounce costs.

25 divided by 3.75 = 6.6 Ounces for $1

90 divided by 6.30 = 14.28 ounces for $1

Write the equation of the line that passes through the points (-8,6) and (9,-8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Y-6=-14/17 times (x+8) is the correct answer:)

Franco and Marcia getting high speed Internet access at the same time. Francos provider charges $60 for installation and $42.95 per month. Marshals provider has free installation and charges $57.95 per month. After how many months will Franco and Marsha have paid the same amount for high-speed Internet service?

Answers

Answer:

4 months

Step-by-step explanation:

Franco's provider = 60 + 42.95x

Marshal's provider = 57.95x

Where,

x = number of months

Equate both charges

Franco's provider = Marshal's provider

60 + 42.95x = 57.95x

Subtract 42.95x From both sides

60 + 42.95x - 42.95x = 57.95x - 42.95x

60 = 15x

Divide both sides by 15

60 / 15 = 15x / 15

4 = x

x = 4 Months

Franco and Marshal would have paid the same amount for high-speed Internet service after 4 months

Kristin wants to make 12 ml of an 8% alcohol solution by mixing together a 32% alcohol solution and pure water. How much of each solution must she use? Please put how many ml for the solutions.

Answers

Answer:

To obtain a solution of 12 ml of 8% alcohol, 3 ml of 32% alcohol and 9 ml of water should be used.

Step-by-step explanation:

To determine the amount of 32% alcohol and pure water needed to make a 12 ml 8% alcohol solution, the following calculation is necessary:

If in 12 ml it is sought that 8% of the solution is alcohol, this percentage implies a presence of 0.96 ml of alcohol in the solution.

Now, 12 ml of 32% alcohol has 3.84 ml of alcohol in it, which must be lowered with water to access that amount.

Therefore, since 32/8 is equal to 4, a quarter of the solution composed of 32% alcohol must be placed, while the remaining three-quarters must be pure water.

In conclusion, to obtain a solution of 12 ml of 8% alcohol, 3 ml of 32% alcohol and 9 ml of water should be used.

Is (-1, -4) a solution to a equation y=6x_ -2?​

Answers

the answer is no shbajahwje

The area width is 9ft the total is 27ft

Answers

Answer:

3ft

Step-by-step explanation:

because 9 times 3 equal 27

ASAP There are 25 female performers in a dance recital. The ratio of men to women is 3:5. How many men are in the dance recital?

Answers

Answer:

15

Step-by-step explanation:

triangle ABC and DEF are similar what is the length of segment DF?

Answers

Answer:

Proportionate to whatever length the corresponding segment for the similar triangle.

The Earth is approximately a sphere of
diameter 12742 km. The surface area
of a sphere is given by the formula A =
4π r2 Calculate the surface area of the
Earth. Give your answer in metres
squared and in standard form.

Answers

Answer:

2

Step-by-step explanation:

Express log(2)A in terms of the 2 logarithms of prime numbers:
A= √3 * (4th root)(125)) / 7^3

Answers

Answer:

3

125

=

3

5

3

=

5

Step-by-step explanation:

Answer:

1/4 log2 1125 - 3 log2 7

Step-by-step explanation:

A= √3 * (4th root)(125)) / 7^3 =(4th root) (9*125) / 7^3 =(4th root) (1125) / 7^3

Finding logarithm

log2 A = log2 (4th root) (9*125) / 7^3 = 1/4 log2 1125 - 3 log2 7

i need the answer asap please hurry i give you 5 stars
Explain in detail how would you plot the points –1, 5, –2.5, –3, and 2 on the number line. What is the order of the numbers?

Answers

Answer: -3, -2.5, -1, 2, 5.

Explanation:
The number line goes from the smallest number to the largest number. As an example you may ask why -3 is smaller than -1 even though it looks larger. This is because it actually isn’t since it is negative. When a number is negative, the higher the number are the smaller it is. One more example could be that -10 is smaller than -5.
Hi I. Jenny te he he te D answer

Circle the ratio which is the same as 1 cm represents 2m
1:2
1:20
1:200
1:2000​

Answers

Answer:

1 cm: 200 cm (if they don't give units) (most likely this answer) (1:200)

if the units are centimeter and meter though, then it's

1:2

Step-by-step explanation:

there are 100 cm in 1 meter, so 1cm:2m

is actually 1cm : 200cm

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