The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. The lengths of two sides of the triangle are 13 feet and 23 feet. Find the possible lengths of the third side.

Answers

Answer 1

Answer:

Between the lengths of 10 and 36 (exclusive).

Step-by-step explanation:

Since the lengths of any two sides is always greater than the third, the shortest possible length of the third side must be greater than 23 when added to 13. 23-13 = 10, so the third side must be greater than 10.

However, the third side also cannot exceed the length of the sum of the other two sides. 23+13 = 36, therefore the length must be less than 36.

The possible lengths of the third side lie between 10 and 36 (exclusive).

If we use 'l' for length, this range can be represented as follows:

[tex]10 < l < 36[/tex]

Hope this helped!


Related Questions

Select the correct texts in the passage (see picture)​

Answers

Answer:

Step 2 was the first mistake and the second option is the answer.

Step-by-step explanation:

Julia incorrectly factored the -1 from the second group of terms.

The correct option is (B)

What is expression?

An expression is a sentence with a minimum of two numbers or variables and at least one math operation.

Given:

2x^4 + 2x³ -x²-x

While solving the above expression in the third step

x(2x²(x+1)) - 1(x-1)

should be

x(2x²(x+1)) - 1(x + 1)

Hence, Julia incorrectly factored the -1 from the second group of terms.

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Rita just bought a car for 15,000. She paid 20% down and borrowed the remainder at an annual interest rate of 9.0%. The loan will be repaid over four years with monthly payments of $298.62. How much is rita's down payment and how much did she borrow?

Answers

Answer:

Rita's down payment is $3000 and she borrowed $12000.

Step-by-step explanation:

The cost of the car is $15000.

Given that she paid 20% down and borrowed the remainder.

So, Rita's down payment= 20% of $15000

[tex]=\frac{20}{100}\times 15000[/tex]

= $3000

As she borrowed the remainder cost, so,

the borrowed amount = 15000-3000

= $12000

Hence, Rita's down payment is $3000 and she borrowed $12000.

How many solutions does the following equation have? -7x + 3 = 2x + 2 - 9x *
1 point
No solution
One solution x = 5
Infinite solutions
One solution x = 7

Answers

Answer:

no solutions because you would get an outcome of a not real world problem

Which set of line segments could create a right triangle? (4 points) 1) 24, 30. 35 2) 12. 18. 30 03) 18. 24. 30 4) 18. 24, 35​

Answers

Answer:

Its 18,24,30

Step-by-step explanation:

I had the same question and this was the answer.Plus if you do the math this is the only one that equals c^2

help , i need this assignment don asap

Answers

Answer:

I think it's 17/28 but I don't knkw

What grade are you in ? I think ik what this is

What is a number x divided by -9 is -16 no

Answers

Answer: x = -144

Step-by-step explanation:

x/9 = -16

9*(x/9) = (-16)*9

x = -144


3x-11+6x-10+x=180
For this question I got 17.7 is that correct

Answers

Answer:

Your answer is correct

Find the sale price:
Original price of concert tickets: $123.79
Discount: 20%

Answers

Answer:

$99.03

Step-by-step explanation:

11. Given: 17 - 3(w + 5) = 6(w + 5) - 2w;
Prove: w = -4
Statements
Reasons
11.17-3(3+5)=6(W+5)-2W
2.17-30-15= 60 +30 -2W
3.-3W +2 = 4W+30
4. -7W +2=30
5. -W=28
1. W= -4

Answers

Answer:

Step-by-step explanation:

              Statements                                     Reasons

1). 17 - 3(w + 5) = 6(w + 5) - 2w            1). Given

2). 17 - 3w - 15 = 6w + 30 - 2w            2). Distributive property

3). -3w + 2 = 4w + 30                           3). Addition property of equality

4). -7w + 2 = 30                                    4). Subtraction property of equality

5). -7w = 28                                          5). Subtraction property of equality

6). w = -4                                              6). Division property of equality

Which of the following is an example of a rational number that is not an integer?
4 , 0 , 1/5

Answers

Answer:

4

Step-by-step explanation:

Increasing 20 to 40 is the same as increasing 20 by
. So, it is a 100% increase. Decreasing 40 to 20 is the same as decreasing 40 by one-half of
. So, it is a 50% decrease.

Answers

Answer:

whats the question?

Can someone help me please ???

Answers

Answer:

the answer is x= 10/3 sooo C!!!

hope this helps!!

Step-by-step explanation:

Which are incorrect and what did they forget

Answers

Nemsis, Onslaught, and Professor X are incorrect. 1+3(4x-5) , you distribute 3 through the parentheses so 1+12x-15. Calculate the difference, -14+12x

How many total cups of orange paint will this mixture yield?

Answers

Answer:

At least 6 but are there answer choices or at least a picture of the mixture

~ Zachary

Sally's soccer team played 25 games and won 17 of them. What percent did the team win

Answers

Answer:

68%

Step-by-step explanation:

Answer:

Sally's soccer team won 68% of the games they played.

Express the following equation in slope-Intercept form: 8x + 11y= Select the best answer from the choices provided. ОА. 18 OB. 8 x + -10 oc. 11 x + 12.45 8 OD 8​

Answers

Answer: 18 OB. 8 x + -10 oc. 11 x + 12.45 8 OD= 8​

Step-by-step explanation: It is simple math-

An object with a mass of 5.2 kg is dropped from a bridge. Using the force equation what will the force of the rock be when it hits the ground. Acceleration of Gravity is 9.81 m/s2

Answers

Answer:

[tex]f = mg = 5.2 \times 9.81 = 51.012 \: newtons[/tex]

Force of the rock be when it hits the ground is [tex]51.012[/tex] Newton.

What is a force?

Force is an external agent capable of changing the state of rest or motion of a particular body. It has a magnitude and a direction.

Given

An object with a mass of 5.2 kg is dropped from a bridge.

Acceleration of Gravity is 9.81 [tex]m/s^{2}[/tex]

Force equation what will the force of the rock be when it hits the ground

F = mg

F = [tex]5.2\times9.81[/tex]

F = [tex]51.012[/tex] Newton

Force of the rock be when it hits the ground is [tex]51.012[/tex] Newton.

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Paul is making a ball-toss game for his club booth at the fair. He wants to make the circumference of the holes at least 3 inches greater but not more than 4 inches greater than the circumference of the ball. One person suggests that Paul can make the diameter of the hole 1 inch greater than that of the ball. Another suggests the diameter should be 2inches greater. Which suggestion should Paul choose? Explain

Answers

Answer:

Paul can make the diameter of the hole 1 inch greater than that of the ball

Step-by-step explanation:

we are going to assume a diameter of the hole has 6in

the radius of the ball is 3in

we looking at a range of the hole greater by (3<4)

we know that the circumference of a circle is given as

the circumference of the ball is

C=2πr

C=2*3.142*3

C=18.85in

The circumference of the hole is ( 1 inch greater )

C=2πr

say the diameter is 6in plus 1in = 7in

the radius =3.5in

C=2*3.142*3.5

C=21.99

compare with the ball the difference is 21.99-18.85

=3.14 which is in the range

The circumference of the hole is ( 2inches greater. )

C=2πr

say the diameter is 6in plus 2in = 8in

the radius =4in

C=2*3.142*4

C=25.13in

compare with the ball the difference is 25.13-18.85

=6.28 which is out of  the range

If a turtle walks 24 meters in 30 minutes, about how many minutes will it take the turtle to walk 36 meters?

Answers

30/24= 1.25m per min

= 1.25×36= 45 minutes

Identify the x and y intercepts 10x+4y=-20

Answers

Answer:

(-2,0) and (0,-5) on the graph for the interprets x and y.

Note: I need points lol, pls put thanks and vote your stars for me! Thx!

The required x and y-intercept of the given equation is x = -2 and y = -5.

Given that,
An equation of the linear function is given 10x + 4y =-20, x and y-intercept of the function are to be determined.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given a linear function,
10x + 4y = -20
In order to get the values of the intercept we have to put x and y to zero individually,

First, for x-intercept y = 0
10x + 4(0) = -20
10x=-20
x = -2

Second for y-intercept x = 0
10(0) + 4y = -20
y = -5

Thus, the required x and y-intercept of the given equation is x = -2 and y = -5.

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A shopper uses a department-store gift cared to pay for 3 sweaters priced at $27. What is the change in the value of the gift card?

Answers

Answer:

$81

Step-by-step explanation:

27+27+27=$81

The larger of two numbers is 17 more than two times the smaller number. If the
sum of the two numbers is 71, find the numbers. * i need help asap pleaseeee!!!! 20 points

Answers

Answer:

27 and 44

Step-by-step explanation:

27 and 44 I think I could be wrong though lol

What multiplies to be a 20 and adds to be a -21?

Answers

Answer:

-20 & -1

Step-by-step explanation:

-20+-1=-21

-20*-1=20

The perimeter if a rectangle is 84 inches. The length is 12 inches less than twice the width. Find the length and width of the rectangle.

Answers

Answer:

Length= 7 Width=2

Step-by-step explanation:

Find the value of x using segment addition below.

Answers

The answer is x=5

You get this answer by combining

2x-3+2=x+4

4x5x6x-31x2+10x1+6x2-4=

Answers

Answer:

it should be 196 or =4x12−25x2+10x−4

Step-by-step explanation:

7( x-2) -3(x+3) = 5(x-3) + x

Answers

Answer:

-4

Step-by-step explanation:

ig i was right the first time

(-5,4) and (1,6)
y-6 =? plz help me

Answers

Answer:

(-5,4) and (1,6) are cordanites on a graph 1st square is ++ 2nd is +- 3rd is -- and 4th is -+

Step-by-step explanation:

PLEASE SOMBODY HELP ME I WILL GIVE BRAINLY IF YOU ARE CORRECT 10 POINTS

Answers

1. D= 500/40
2.D= 125/v
3.80= m/1.4
4.D= m/v

John and two friends are going out for pizza for lunch. They split one pizza and three large drinks. The pizza cost $12. They spend a total of $16.95. Find the cost of one large drink.

Answers

Answer:

$1.65

Step-by-step explanation:

16.95-12=4.95

4.95 divided by 3= 1.65

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