if the lengths of two sides of a triangle are 24 and 18, what is the largest possible integer length of the third side of the triangle?

Answers

Answer 1

Answer:

[tex]41\ units[/tex]

Step-by-step explanation:

[tex]As\ we\ know\ that,\\The\ sum\ of\ two\ sides\ of\ a\ triangle\ will\ always\ be\ greater\ than\ the\ Third\ Side.\\Hence,\\As\ we\ are\ given,\\Length\ of\ Side\ 1=24\ units\\Length\ of\ Side\ 2=18\ units\\Hence,\\The\ Length\ of\ Side\ 3<(24+18)\\Or,\\The\ Length\ of\ Side\ 3<42\\Now,\\As\ the\ length\ of\ third\ side\ cannot\ be\ equal\ to\ the\ sum\ of\ the\ other\ two sides.\\Hence,\\The\ Length\ of\ Side\ 3\neq 42\\As\ we\ are\ told\ to\ find\ the\ integer\ value,\\[/tex]

[tex]The\ nearest\ integer\ lesser\ than\ 42\ is\ 42-1\ or\ 41.\\Hence,\\The\ largest\ possible\ integer\ length\ of\ the\ third\ side\ of\ the\ triangle=41\ units[/tex]

Answer 2

Answer:

41

Step-by-step explanation:


Related Questions

PLEASE HELP GEOMETRY!
Solve for x.

A)

10

B)

5

C)

8

D)

14

Answers

Answer:

C) 8

Step-by-step explanation:

Rani has 160 DVDs 35 % of her DVDs are thrillers . 2/5 of her DVDs are comedies . The rest of her DVDs are science fiction . How many science fiction DVDs does Rani have ?

Answers

Answer: 40

Step-by-step explanation:

Number of DVDs = 160

Thrillers = 35%

Comedies = 2/5 = 40%

Science fiction = 100 - (35 + 40) = 100 - 75 = 25%

The number of science fiction DVDs that Rani has will be:

= 25% × 160

= 25/100 × 160

= 40

Pls help i'm really struggling

Answers

Answer:

A

Step-by-step explanation:

The circumference formula is C = 2*pi*r, and we have r = 6. So C = 2*pi*6 which means that

C = 12pi.

The area can be found with the formula: A = pi*r^2, and we have r = 6. So, A = pi*36 or 36pi. So the answer would be A where Circumference = 12pi and Area = 36pi

The first one is the answer.

Will give brainliest
Given f(x)=-2x-3 and Range={-5,-1,-3} find Domain
{1,3,5}
{-1,0,1}
{2,3,1}
{0,-2,3}

Answers

Answer:

the answer is the 2nd option

domain = { -1, 0, 1 }

PLEASE PLEASE HELP MEEE IT IS VERY EASY I AM JUST NOT SMART!!!!!!! Which of the following is a geometric sequence? A) 5, 1, –3, –7, –11, –15, ... B) 1, 5, 9, 13, 17, ... C) 0, 5, 10, 15, 20, ... D) 2, 6, 18, 54, 162, 486, ...

Answers

Answer:

d

Step-by-step explanation:

A taxi costs 3 dollars plus an additional 2 dollars per mile traveled \. You spent exactly $20 on taxi which includes the one dollar tip you left. How many miles did you travel?

Answers

Answer:

8 miles

Step-by-step explanation:

3+2x+1=20

2x+4=20

2x=16

x=8

8 miles.

Hope this helps!

Merry Christmas!

Answer:

8 miles

Step-by-step explanation:

The equation for this relationship is:

3+2x=y (x is no. of miles and y is the total cost without tips of course)

The total cost without the tip is 20-1=19.

Plug 19 in for y:

3+2x=19

2x=16

x=8

Hope this helps!

Finish my lyrics please :)
She was driving last Friday on her way to Cincinnati on a snow white Christmas Eve
Going home to see her mama and her daddy with the baby in the backseat
Fifty miles to go, and she was running low on faith and gasoline
It'd been a long hard year
She had a lot on her mind, and she didn't pay attention
She was going way too fast
Before she knew it she was spinning on a thin black sheet of glass
She saw both their lives flash before her eyes
She didn't even have time to cry
She was so scared
She threw her hands up in the air
Jesus, take the wheel
Take it from my hands
'Cause I can't do this on my own
I'm letting go
So give me one more chance
And save me from this road I'm on
Jesus, take the wheel

Answers

Answer:

take it from my hand?

Step-by-step explanation:


Help me please!!!! The question is in the picture^^^

Answers

Answer:

7,173

x = 7

Step-by-step explanation:

Within the question it gives two examples.

x = 0 corresponds to 2000

x = 1 corresponds to 2001

If you pay close attention the x-value is always the same as the last digits in the year. So with 2007 the last digit is 7, which then leads us to determine that

x = 7

f (x) = -327 (7) + 9462

f (x) = -2289 + 9462 = 7173

Harold has 7 bags, each containing the same number of marbles. He has a total of 42 marbles in the bag

Answers

Answer:

294 or 6

Step-by-step explanation:

if he has 7 bags and 42 marbles in each then the answer will be 294

but if ur tryna say that there are a total of 42 marbles combined, then there are 6 marbles in each bag

please help! first gets brainliest!

Answers

Answer:

I was gonna say number 3 but..

Need help ASAP

A survey of 200 students involved 80 girls and 120 boys. The number of students playing basketball and volleyball is shown in the following table:

A student is picked at random. What is the probability that the student is a boy or plays basketball?


Options:
0.75
0.90
0.70
0.60

Answers

It’s D
The last one

Write the ratio 16 inches to 7 feet as a fraction in simplest form. Use pencil and paper. Explain why you get the same result whether you convert feet to inches or convert inches to feet. Why might you prefer one way over the​ other?

Answers

Answer:

You will get the same answer when you convert feet to inches or inches to feet because the value for each unit will still be the same. For example if something is 60 inches and you covert it to 5 feet, it still has the same numerical value.

Solve for x in the given interval. csc x =-1, for 3n ≤ x≤ 4n

A. 5π/2

B. 3π

C. 7π/2

D. 4π

Answers

Answer:

C.

Warning! I might be wrong as I'm not a math teacher. Always double check your answer!

Cheers! :)

There are 25 girls and 20 boys in class 7. 7/15of the students in the class are fond of cricket and the remaining students are fond of football. How many students are fond of football?

Answers

9514 1404 393

Answer:

  24

Step-by-step explanation:

If 7/15 are fond of cricket, the remaining number is 1 -7/15 = 8/15 of the class. The number of students in the class is ...

25 + 20 = 45

so 8/15 of the class is ...

  (8/15)(45) = 8(45/15) = 8(3) = 24

24 students are fond of football.

24 of the students are fond of football.

Triangle GHJ with vertices G(-2, 4), H(3, 6), and J(3, -2) is dilated by a factor of 1/3 centered at the origin. What are the coordinates of G' after the dilation?

Answers

Answer:

The coordinates of G' are [tex]G'(x,y) = \left(-\frac{2}{3}, \frac{4}{3} \right)[/tex].

Step-by-step explanation:

From Linear Algebra, we define the dilation of point G by the following expression:

[tex]G'(x,y) = O(x,y) + k\cdot [G(x,y)-O(x,y)][/tex] (1)

Where:

[tex]O(x,y)[/tex] - Center of dilation, dimensionless.

[tex]k[/tex] - Scale factor, dimensionless.

[tex]G(x,y)[/tex] - Coordinates of point G, dimensionless.

[tex]G'(x,y)[/tex] - Coordinates of point G', dimensionless.

If we know that [tex]O(x,y) = (0,0)[/tex], [tex]k = \frac{1}{3}[/tex], [tex]G(x,y) = (-2,4)[/tex], then the point G' is:

[tex]G'(x,y) = (0,0) + \frac{1}{3}\cdot [(-2,4)-(0,0)][/tex]

[tex]G'(x,y) = \left(-\frac{2}{3}, \frac{4}{3} \right)[/tex]

The coordinates of G' are [tex]G'(x,y) = \left(-\frac{2}{3}, \frac{4}{3} \right)[/tex].

Graph the inequality. Label each ordered pair (possible solution) as a SOLUTION or NO SOLUTION.

3x−6y<24

(-5,0)
(8,0)

(4, -5)

(2.5, 8)

(0,-4)

(0, -1)

(-10, -20)

Answers

Answer:

These are no solution

(4, -5)

(-10, -20)

Step-by-step explanation:

These are solutions

(-5,0)

(8,0)  on the line but still a solution

(2.5, 8)

(0,-4)  on the line but still a solution

(0, -1)

PLEASE HELP ASAP!!
17) A 40-foot fishing line is cut into two pieces: one piece is 4 feet longer than twice the first.

1) 12 Feet, 28 feet
2) 10 feet, 30 feet
3) 18 feet, 22 feet
4) 3 feet, 37 feet

18) A 16-foot board is cut so that one piece is triple the shorter piece. Write the equation.

1) x + 3x = 16
2) x - 3x = 16
3) x + x + 3 = 16
4) x (3x) = 16


Answers

Answer:

17) 12 feet, 28 feet

18) x + 3x =16

Please help ASAP I don’t understand this and only answer if you know just don’t answer with random letters please!!!!!

Answers

Answer:

x + y + 90 = 180

x = 67

y = 23

Step-by-step explanation:

x + y + 90 = 180

x + 2 = 3y

x + y = 90

x - 3y = -2

      x  +  y = 90

(+)  -x + 3y =  2

-----------------------

            4y = 92

y = 23

x + y = 90

x + 23 = 90

x = 67


The length of a rectangular frame is 15 inches, and the width of the frame is 8
inches. What is the length of a diagonal of this frame in inches?
a)12.69
b)17
c)7
d)23

Answers

The answer is 17 because 15 2square plus 8 2square is equal to 17inches

Write 6 1/3 as an improper fraction.

Answers

Answer:

19/3

Step-by-step explanation:

Changing 6 1/3 as an improper fraction is 19/3

An improper fraction refers to a fraction whereby the numerator i.e the number at the top is more than the denominator which is the number down.

Changing 6 1/3 to an improper fraction will be:

= [(3 × 6) + 1]/3

= (18 + 2)/3

= 19/3

In conclusion, changing 6 1/3 as an improper fraction is 19/3.

Read related link on:

https://brainly.com/question/23861861

PLEASE HELP
Given the function f(x) = -3x+18x + 10, identify the axis of symmetry.
.
x = 3
x = 0
x = 10
x = 37

Answers

[tex]y = - 3x^{2} + 18x + 10 \\ \frac{d}{dx}( - 3x^{2} + 18x + 10) \\ - 6x + 18 = 0 \\ - 6x = - 18 \\ x = 3[/tex]

The axis of symmetry for parabola is x = 3.

Using derivative to solve for axis od symmetry is easier.

Identify the expression as an equation containing fractions, a fractional equation, or a proportion. x/12=(17/3)-(2x/9)-(5)+(3x/12)

A: Proportion
B: Equation containing fractions
C: Fractional equation

Answers

9514 1404 393

Answer:

  B:  Equation containing fractions

Step-by-step explanation:

A proportion equates two fractions.

A fractional equation contains the unknown in the denominator of one or more terms. (A proportion may be written as a fractional equation.)

Here, the equation has the variable in the numerator of the terms in which it appears, so the equation is not a fractional equation. It is not equating two fractions, so is not a proportion. It contains fractions, so it is an ...

  equation containing fractions

_____

Multiplying the equation by 36 gives ...

  3x = 204 -8x -180 +9x

  2x = 24 . . . . . subtract x

  x = 12 . . . . . . .divide by 2

Giving free brainiest bc I need to distract myself from my sad thoughts
remember no matter what you are loved by someone even if it doesn't feel like it
and if you don't think so I do
I love you <3
stay safe
merry christmas :)

if you already answered one of these don't answer again
I want everyone to get a fair chance :)
might do these everyday bc I like helping people
this is my blog now hello everyone
im taylor im 15 and I want to work at Best Buy when this pandemic calms down a little :)

Answers

Answer:

merry merry christmas :)

and thanks

Step-by-step explanation:

Convert this number into scientific notation: 0.068​

Answers

Step-by-step explanation:

0.068 in scientific notation is 6.8 * 10^-2.

The given number 0.068 in scientific notation is [tex]6.8 \times 10^{-2}[/tex].

The given digit is 0.068.

Move the decimal point to the right until there is only one non-zero digit to the left of the decimal point. Count the number of decimal places you moved. In this case, we move the decimal point two places to the right.

0.068 becomes 6.8

Write the number in the form of a decimal number between 1 and 10, multiplied by 10 raised to the power of the count of decimal places we moved.

6.8 can be written as [tex]6.8 \times 10^{-2}[/tex]

Simplify, if possible. In this case, we can express 6.8 as [tex]6.8 \times 10^{-2}[/tex] since it is already in a simple form.

Therefore, the number 0.068 in scientific notation is [tex]6.8 \times 10^{-2}[/tex].

Learn more about the Scientific Notation here :

https://brainly.com/question/20533245

#SPJ6

Luke solved a rational equation as shown, but his work contains an error. Identify the step in which Luke made an error.
ill mark brainliest!!!

Answers

An equation is formed of two equal expressions. Luke made a mistake in step 3.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Luke made a mistake in step 3, he needs to cancel (x-4) from the second term of the left side instead of x. Also, (x-4) is needed to be cancelled from the right side. Therefore, step 3 will be,

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

Hence, Luke made a mistake in step 3.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ2

Answer:

step  3

Step-by-step explanation:

Plato

y= x^2 -6x+2 ❗️Find the root❗️

Answers

Answer:

x=3±√7

Step-by-step explanation:

The roots (zeros) are the

x

values where the graph intersects the x-axis. To find the roots (zeros), replace

y

with

0

and solve for

x

.

HELP!! ASAP!!! The total price of two items without tax is $14.60 and the total price of the two items with 5% tax is $15.33. How much is each item without tax?

Answers

I NEED THIS DONE ASAP

Answer the following questions to help you write the equation of the table.
A)What is the zero term?
B)What is the slope or rate of change?
C)What is the equation of the table?

just number 3 is fine please but if you could also 4​

Answers

Answer:

3. r = -8

4. x = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

2(-5r + 2) = 84

Step 2: Solve for r

Divide 2 on both sides:                    -5r + 2 = 42Subtract 2 on both sides:                 -5r = 40Divide -5 on both sides:                    r = -8

Step 3: Check

Plug in r into the original equation to verify it's a solution.

Substitute in r:                   2(-5(-8) + 2) = 84Multiply:                             2(40 + 2) = 84Add:                                   2(42) = 84Multiply:                             84 = 84

Here we see that 84 does indeed equal 84.

∴ r = -8 is a solution of the equation.

Step 4: Define equation

264 = -8(-8 + 5x)

Step 5: Solve for x

Divide both sides by -8:                    -33 = -8 + 5xAdd 8 to both sides:                          -25 = 5xDivide 5 on both sides:                      -5 = xRewrite:                                               x = -5

Step 6: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    264 = -8(-8 + 5(-5))Multiply:                               264 = -8(-8 - 25)Subtract:                              264 = -8(-33)Multiply:                               264 = 264

Here we see that 264 does indeed equal 264.

∴ x = -5 is a solution of the equation.

Write the inequality for the graph.use the two points shown

Answers

Answer:

The inequality for the graph is y > -2x + 7A

Step-by-step explanation:

At first let us find the equation of the line, then write the inequality

∵ The form of the equation of the line is y = m x + b, where m is the slope

   and b is the y-intercept (value x at y = 0)

∵ m = [tex]\frac{y2-y1}{x2-x1}[/tex] , (x1, y1) and (x2, y2) are 2 points on the line

∵ The line passes through points (3, 1) and (0, 7)

x1 = 3, y1 = 1 and x2 = 0, y2 = 7

→ Substitute them in the rule of the slope above

∵ m = [tex]\frac{7-1}{0-3}[/tex] = [tex]\frac{6}{-3}[/tex] = -2

m = -2

→ Substitute it in the form of the equation

∴ y = -2x + b

∵ b is the value of y at x = 0

∵ y = 7 at x = 0

b = 7

→ Substitute it in the equation

y = -2x + 7

→ Now let us write the inequality

∵ The line is a dashed line and the shading is above the line

∴ The sign of inequality is >

→ Change "=" in the equation of the line by ">"

The inequality is y > -2x + 7

We want to factor the following expression:
(x + 3)2 + 14(x + 3) + 49
We can factor the expression as (U + V)? where U and V are either constant integers or single-variable
expressions.
1) What are U and V?

Answers

Answer:

U=(x+3) and V=7

Step-by-step explanation:

Answer:

Step-by-step explanation:

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