Iliana claims that she can construct a triangle from a 12-inch rod, a 36-inch rod, and a 39.4-inch rod. Which statement explains whether she is correct?

Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side.
Iliana cannot construct a triangle because the sum of the two smaller sides will be greater than the third side.
Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.
Iliana will be able to construct a triangle because the sum of any two sides is less than the third side.

Answers

Answer 1

Answer:

C. Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.

Step-by-step explanation:

edge

Answer 2

Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.

How to determine the correct statement?

The sides of the triangle are given as:

12, 36 and 39.4 inches

According to the triangle inequality theorem, the following must be true

x + y >= z

Where z is the longest side.

This means that:

12 + 36 >= 39.4

Evaluate the sum

48 >= 39.4

The above inequality is true

Hence, the true statement is (c)

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Related Questions

solve for x
and give reasons for your answer

Answers

Answer:

80°

Step-by-step explanation:

alternate angles are equal

angles in a straight line add upto 180°

therefore angle ABC =80°

But it is alternate to the one at x.

Answer:

x = 80°

Step-by-step explanation:

∠CBD = ∠ABF  

          = 100°

(Vertically opposite angles are equal and AD and EH are parallel with CG cutting across both lines)

∠x = 180°-100°

    = 80°

(∠ABF and ∠x are consecutive interior angles as they are within two parallel lines so they add up to 180°)

can 0 go into 4 and 4 go into 8 an 8 go into 12

Answers

Answer:

No

Step-by-step explanation:

Answer:

0 cannot go into 4

4 can go into 8

8 cannot go into 12

pleaseee helpppp!!!!

Answers

Answer:

Substitute the given value into the function and evaluate.

2 x 3 + 7 x 2 − 4 x − 15

Step-by-Step Process

For questions 3 & 4, name the applicable polynomial identity and use the identity to multiply each expression.


3. (2 + 8)(2 − 8)


4. ( + 33)2

Answers

Answer:

The quadratic x2 − 5x + 6 factors as (x − 2)(x − 3). Hence the equation x2 − 5x + 6 = 0

has solutions x = 2 and x = 3.

Similarly we can factor the cubic x3 − 6x2 + 11x − 6 as (x − 1)(x − 2)(x − 3), which enables us to show that the solutions of x3 − 6x2 + 11x − 6 = 0 are x = 1, x = 2 or x = 3. In this module we will see how to arrive at this factorisation.

Polynomials in many respects behave like whole numbers or the integers. We can add, subtract and multiply two or more polynomials together to obtain another polynomial. Just as we can divide one whole number by another, producing a quotient and remainder, we can divide one polynomial by another and obtain a quotient and remainder, which are also polynomials.

A quadratic equation of the form ax2 + bx + c has either 0, 1 or 2 solutions, depending on whether the discriminant is negative, zero or positive. The number of solutions of the this equation assisted us in drawing the graph of the quadratic function y = ax2 + bx + c. Similarly, information about the roots of a polynomial equation enables us to give a rough sketch of the corresponding polynomial function.

As well as being intrinsically interesting objects, polynomials have important applications in the real world. One such application to error-correcting codes is discussed in the Appendix to this module.

Step-by-step explanation:

A fair coin is flipped 5 times
What is the probability that no two consecutive flips have the same result?
Express ur answer as a common fraction

HELP ME!!

Answers

Answer:

2/5

Step-by-step explanation:

The answer is common sense.

The probability that no two consecutive flips have the same result is [tex]\frac{1}{16}[/tex].

If a coin is flipped then there are two possible outcomes Head(H) and Tail (T).

So each flip can have 2 possible outcomes. It means 5 flips have [tex]2^5=32[/tex] possible outcomes.

Among these 32 outcomes only 2 outcomes : HTHTH and THTHT have "no two consecutive flips have the same result".

So the probability that no two consecutive flips have the same result is = [tex]\frac{2}{32} =\frac{1}{16}[/tex].

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Which equation represents the line containing the points (8,1) and (-4,-2)

Answers

Answer:

Answer is the 2nd one

Hope it was helpful

a tree is sold based on the circumference of the tree. if a tree has the radius of 4+inches, then what is the circumference of the tree

Answers

Answer:

The circumference of the tree will be: 25.12 inches

Step-by-step explanation:

The radius of the tree = r = 4 inches

As the tree is sold based on the circumference of the tree.

The formula of the circumference = C = 2πr

                                                               = 2(3.14)(4)     ∵ r = 4 inches

                                                               = 25.12 inches

Therefore, the circumference of the tree will be: 25.12 inches

Factor the polynomial expression 8x^2 + 2.

Answers

Answer: 4096

Step-by-step explanation:

(2x+i)(2x-1)

There are 35 tickets in a bag and the ratio of winning tickets to losing tickets is 1 to 4. How many of each kind of ticket are in the bag?

Answers

There wiuld be 7 winning tickets and 28 losing tickets in the bag

There are 2 busses. Bus A can travel 125 miles in 3 hours and bus B can travel 85 miles or than bus A within the same time. What is the miles of bus b

Answers

The bus b can travel 85 miles make calculation the 3 hours - 85

How do I rewrite this expression?

Answers

Answer:

2 + i

Step-by-step explanation:

Given

[tex]\frac{4+\sqrt{16-(4)(5)} }{2}[/tex]

= [tex]\frac{4+\sqrt{16-20} }{2}[/tex]

= [tex]\frac{4+\sqrt{-4} }{2}[/tex]

= [tex]\frac{4+2i}{2}[/tex]

= 2 + i

1. The monthly rent (1) for an office place is directly proportional to the size of the office
(a) if a 420 sq foot office rents for 12, 600 pesos per month, then what is the rent for a
900 sq foot office?​

Answers

1 = k x a
12600 = k x 420 divide 420 each side
30 = k
1 = 30 x 900

27,000 = monthly rent for 900 sq foot office

Determine the domain of the following graph:
y
11
9
8
7
4
3
2
1
-12-11-10-9-8
-6-5-4-3-2-1
1 2 3 4 5 6 7 8 9 10 11 12
-2
-4
-5
-6
-7
-8
-10
- 12
Answer:
Submit Answer
Or
<
8
G D
G]
6)
All Real Numbers
attempt 1 out of 2

Answers

Answer:

i need a pic of the graph to tell you the answer

Step-by-step explanation:

Two numbers multiply to -24 and add up to -5

Answers

Answer:

-8 and 3

Step-by-step explanation:

The asked numbers are -8 and 3.

What are equations?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given that, two numbers multiply to -24 and add up to -5

Let the two numbers be x and y

x+y = -5...(i)

xy = -24

x = -24/y...(ii)

Put eq (ii) in eq (i)

-24/y + y = -5

-24 + y² = -5y

y²+5y-24 = 0

Factorizing,

y = 8 and 3

Taking y = 3, put it in eq(ii)

x = -24/3

x = -8

Hence, the asked numbers are -8 and 3.

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After two weeks of training Amanda learn a total of 5 appetizer recipes after 6 weeks of training she will learn blank appetizer recipe

Answers

Answer:

She will learn 15 appetizer recipes.

Step-by-step explanation:

Here's why........because 2 weeks equals 5 so if you divide 6 and 2 you will get 3 and multiply that by 5 you get 15.

simplify
-5v+3v

simplify
k-2-6+5k

Answers

Answer:

-5v+3v = -2v

k-2-6+5k = 6k - 8

Step-by-step explanation:

For -5v+3v

-5 + 3 = -2

V is left so it's -2v

For k-2-6+5k

k + 5k - 2 - 6

6k - 2 - 6

6k - 8

1) -5v + 3v

= -2v

2) k - 2 - 6 + 5k

First take all like terms (everything with the same letters):

k + 5k = 6k

6k - 2 - 6

-2 - 6

= -8

6k - 8

Expectations: Post at least 3 different ways to represent the number

Answers

Answer:

Step-by-step explanation:

8 1/4%

8.25%

0.0825

Graph the function.
5. g(x) = 3(x - 2)
10
8
03
N
2 4
6
8 10
10 8 6 4 2
-2
44
-6
-8
-101

Answers

Answer:

10 8 6 4 2 hope that helps

Which is the best estimate for (6.3 times 10 Superscript negative 2 Baseline) (9.9 times 10 Superscript negative 3 Baseline) written in scientific notation? 6 times 10 Superscript negative 4 60 times 10 Superscript negative 5 6 times 10 Superscript 7 60 times 10 Superscript 6

Answers

Answer:

A

Step-by-step explanation:

If you invest $1000 into an account that earns 8.5% interest each year, WHAT
EQUATION WOULD MODEL how much you would have after 35 years?

Answers

Answer:

i believe it would be 35(1000 x 8.5%)

Step-by-step explanation:

3. If F, G, and H are the midpoints of the sides
of AJKL, FG = 37, KL = 48, and GH = 30,
find each measure.
K
a) FH =
G
b) JL =
c) KJ =
d) FJ =

Answers

Answer:

Step-by-step explanation:

(a). FH = KL / 2 = 48 ÷ 2 = 24

(b). FG = JL / 2 = 37 ⇒ JL = 2 × FG = 74

(c). KJ = 2 × GH = 2(30) = 60

(d). FJ = KJ ÷ 2 = 30

use (x+a)(x+b)=x2+(a+b)x+ab find 101*102​

Answers

Answer:

[tex]101 * 102 = 10302[/tex]

Step-by-step explanation:

Given

[tex](x + a)(x + b) = x^2 + (a + b)x + ab[/tex]

Required

Find 101 * 102

[tex]101 * 102 =[/tex]

Express as a sum of 100

[tex](100 + 1) * (100 + 2)[/tex]

Compare this to [tex](x + a)(x + b)[/tex]

We have that:

[tex]x = 100[/tex]

[tex]a = 1[/tex]

[tex]b = 2[/tex]

Recall that:

[tex](x + a)(x + b) = x^2 + (a + b)x + ab[/tex]

Substitute 100 for x, 1 for a and 2 for b

[tex](100 + 1) * (100 + 2) = 100^2 + (1 + 2) * 100 + 1 * 2[/tex]

[tex](100 + 1) * (100 + 2) = 100^2 + 3 * 100 + 2[/tex]

[tex](100 + 1) * (100 + 2) = 10000 + 300 + 2[/tex]

[tex](100 + 1) * (100 + 2) = 10302[/tex]

Hence:

[tex]101 * 102 = 10302[/tex]

-x+ 5y = 1
- 2x + 10y = 2

Answers

Answer:

24

Step-by-step explanation:

Harolds computer hard drive has 131.25 GB of free space which is about 17.5 of the capacity of his hard drive what is the capacity of the hard drive in GB

Answers

Answer: 1,000 gigabytes

Step-by-step explanation:

Ethel is heading to the store to buy some fresh fruit. She wants to buy a pineapple for $4 and then wants to buy as many pounds of raspberries that she can. Raspberries are $3 per pound. She can spend at most $19. Write and solve an inequality to determine how many pounds of raspberries she can buy. Let x represent pounds of Raspberries.

Answers

Answer:

she can by 5 pounds of raspberries

Step-by-step explanation:

4 - 19 = 15

15 ÷ 3 = 5

A square-base pyramid has the following measurements: The base edges are 3cm The height of the pyramid is 8cm What is the slant height of the pyramid?

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

good luck

PLZ HELP! DUE TODAY! I WILL GIVE BRAINLIEST TO PERSON WHO ANSWERS CORRECTLY!
Which of the following statements is not true?
|-2.2| > |2.1|
0.6 > -4.1
-7.4 < -5.2
|-1.5| < 0

Answers

Answer: D.

Step-by-step explanation:

The last statement is false.

Answer:

1 is false.

Step-by-step explanation:

1. Look at the signs.

2. Look at the number itself. If you are dealing with a positive, you count up to get higher numbers. If you are dealing with a negative(a number with - at the beginning) you count up to get lower numbers.

3. Compare the decimal in the number to the decimal in the other number.

4. Look at the greater-than and less-than signs.

5. Use what you know about positive and negative numbers and decimals and apply that to the statement. If the statement makes sense, it is true. If the statement does not make sense, it is false.

Simplify: √x16y36
Possible answers
x8y18
x8y6
x4y18
x4y6

Answers

Answer:

result(s) found

x8y18

See steps

Step by Step Solution:

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "y3"   was replaced by   "y^3".  1 more similar replacement(s).

Simplify :sqrt(x16y36)

Simplify the Variable part of the SQRT

Rules for simplifing variables which may be raised to a power:

   (1) variables with no exponent stay inside the radical

   (2) variables raised to power 1 or (-1) stay inside the radical

   (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

      (3.1) sqrt(x8)=x4

     (3.2) sqrt(x-6)=x-3

    (4) variables raised to an odd exponent which is  >2  or  <(-2) , examples:

      (4.1) sqrt(x5)=x2•sqrt(x)

     (4.2) sqrt(x-7)=x-3•sqrt(x-1)

 Applying these rules to our case we find out that

      SQRT(x16y36) = x8y18

Simplified Root :

 x8y18 

Step-by-step explanation:

please mark me as the brainliest thank you

Camaro's are the best.

Answers

Answer:

I would love me a camaro

Step-by-step explanation:

Answer:

First car i wanted my whole  life!!!!!

Step-by-step explanation:

HELP!!
I have the answer all I need is to show the work pls help if u can

What is the measure angle of angle A in the triangle?

Answer: 62

Answers

Step-by-step explanation:

find angle c: 180-116= 64

solve for x:

(2x+4)+(3x-13)+64=180

5x+55=180

5x=125

5x/5 = 125/5

x=25

plug in x: 3(25)-13= 62

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