A triangle has two sides of length 19 and 15. What is the largest possible whole-number length for the third side?

Answers

Answer 1

Answer: 33

To maximize the length of the third side, which I'll call x, it needs to be the longest side.

So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.


Related Questions

Roman Civilization began in 509 B.C. and ended in 476 A.D. How long did Roman Civilization last?

Answers

Answer:

Add 509 and 476; The Roman Era lasted for a total of 985 years from 509 B.C to 476 A.D.

Step-by-step explanation:

So going by the figures of your question, add 509 and 476; The Roman Era lasted for a total of 985 years from 509 B.C to 476 A.D.

0.09+
100
27

=
100

+
100
27

Answers

Answer:

x = 9#

Step-by-step explanation:

need help with answer just ask me i got yall

simplify:
A. -9(-2)
B. -9(+6)
C. -9/-3
D. 9/-1​

Answers

Answer:

A. 18

B. -3

C. 3

D. -9

Step-by-step explanation:

Simplify:

A. -9(-2) <== when multiplying two negatives, they make a positive

-9(-2) = 18

B. -9(+6)

-9(+6) = -3

C. -9/-3 <== when dividing two negatives, they make a positive

-9/-3 = 3

D. 9/-1​ <== when dividing a # with a negative, it makes a negative

9/-1​ = -9

Hope this helps!

this question is to hard

Answers

Answer:

A

Step-by-step explanation:

it aligns with the other dots, and you can do exactly 1-1

Answer:

C. (9,4.5)

Step-by-step explanation:

with each ordered pair, the y axis is half of the x axis.

John ordered a large three topping pizza for $7. 50 and a large 8 topping pizza for $10. Write an equation in slope-intercept form to describe the situation. (use fractions) (15 points)

Answers

to get the equation of any straight line, we simply need two points off of it, well, let's use the provided values hmmm

[tex]\begin{array}{ccll} \stackrel{toppings}{x}&\stackrel{cost}{y}\\ \cline{1-2} 3 & 7.50\\ 8& 10 \end{array} \qquad\implies \qquad (\stackrel{x_1}{3}~,~\stackrel{y_1}{7.50})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{10}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{10}-\stackrel{y1}{7.50}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{3}}}\implies \cfrac{2.5}{5}\implies \cfrac{~~ \frac{25}{10}~~}{5}\implies \cfrac{25}{50}\implies \cfrac{1}{2}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7.50}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{3})\implies y-\cfrac{750}{100}=\cfrac{1}{2}(x-3) \\\\\\ y-\cfrac{15}{2}=\cfrac{1}{2}x-\cfrac{3}{2}\implies y=\cfrac{1}{2}x-\cfrac{3}{2}+\cfrac{15}{2}\implies y=\cfrac{1}{2}x-6[/tex]

Write an expression equivalent to 6 — 2.2 +5+ 4. that only has two
terms.

Answers

Answer:

3.8 + 9?

Step-by-step explanation:

Your class of 96 students is going on a field trip to the aquarium.
You filled one school bus, and the second school bus had 6 seats left
over. Write and solve an equation to determine how many students
s can fit on one school bus.

Answers

Answer:

51 seats

Step-by-step explanation:

96 = 2 buses minus six seats

96 = 2x -6

102 = 2x

102/2 = x

51 seats

help please must be a really quick answer but right!

Answers

Answer:

240 ft^2

Step-by-step explanation:

10*18=180

20*6=120

120/2 = 60

180+60=240

If x represents the molar solubility of b a 3 ( p o 4 ) 2 , what is the correct equation for the k s p ?

Answers

The molar solubility of Ba₃(PO₄)₂ is its concentration of pure substance

The correct equation for the ksp is Ksp = 6x⁵

How to determine the equation of ksp?

Start by writing the reaction for the solution of Barium phosphate

Ba₃(PO₄)₂  ⇌3Ba²⁺ +2PO₄³⁻

Next, we make an ICE chart

Let "x" be the molar solubility of Barium phosphate

          Ba₃(PO₄)₂(s)  ⇌3Ba²⁺ +2PO₄³⁻

I                                 0                  0

C                              +3x               +2x

E                                3x³                 2x²

Lastly, we write the expression for the solubility product constant (Ksp)

This is represented as:

Ksp = [3Ba²⁺] × [2PO₄³⁻]²

Ksp = 3x³ × 2x²

Evaluate the product

Ksp = 6x⁵

Hence, the correct equation for the ksp is Ksp = 6x⁵

Read more about molar solubility at:

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The molar solubility of Ba₃(PO₄)₂ is its concentration of a pure substance.

The correct equation for the ksp is Ksp = 6x⁵.

How to determine the equation of ksp?

The solubility product constant is the equilibrium constant for the dissolution of a solid substance into an aqueous solution. It is denoted by the symbol Ksp.

Start by writing the reaction for the solution of Barium phosphate.

Ba₃(PO₄)₂  ⇌3Ba²⁺ +2PO₄³⁻

Let "x" be the molar solubility of Barium phosphate

         Ba₃(PO₄)₂(s)  ⇌3Ba²⁺ +2PO₄³⁻

I                                 0                  0

C                              +3x               +2x

E                                3x³                 2x²

Lastly, we write the expression for the solubility product constant (Ksp),

This is represented as:

Ksp = [3Ba²⁺] × [2PO₄³⁻]²

Ksp = 3x³ × 2x²

Evaluate the product

Ksp = 6x⁵

Hence, the correct equation for the ksp is Ksp = 6x⁵

Read more about molar solubility at:

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my little sister needs help in this and I don't remember. ​

Answers

You have to have the same denominator for both fractions, so I would multiply 3/4 by 3 that would give you 9/12 and the other one is 7/12. This means that the final answer would be 9/12>7/12.

An arithmetic sequence has this recursive formula:
|a =7
n = an=1
- 4
What is the explicit formula for this sequence?

Answers

An arithmetic sequence can be expressed as explicitly or recursively

The explicit formula of the sequence is [tex]a_n = 11 - 4n[/tex]

How to determine the explicit formula

The recursive formula is given as:

[tex]a_n = a_{n -1} - 4[/tex]

[tex]a_1 = 7[/tex]

Substitute 2 for n in [tex]a_n = a_{n -1} - 4[/tex]

[tex]a_2 =a_1 - 4[/tex]

This gives

[tex]a_2 =7 - 4[/tex]

[tex]a_2 =3[/tex]

Calculate the common difference (d)

[tex]d = a_2 -a_1[/tex]

[tex]d = 3- 7[/tex]

[tex]d = -4[/tex]

The explicit formula is then calculated as:

[tex]a_n = a_1 + (n - 1)d[/tex]

This gives

[tex]a_n = 7+ (n - 1)*-4[/tex]

Expand

[tex]a_n = 7+4 - 4n[/tex]

[tex]a_n = 11 - 4n[/tex]

Hence, the explicit formula of the sequence is [tex]a_n = 11 - 4n[/tex]

Read more about arithmetic sequence at:

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help with q7 please !!

Answers

Step-by-step explanation:

[tex] \frac{dA}{dx} = 3 {(x - 1)}^{2} \\A = ∫3 {(x - 1)}^{2}dx \\ = ∫3 {x}^{2} - 6x + 3 \: dx \\ = \frac{3 {x}^{3} }{3} - \frac{6 {x}^{2} }{2} + 3x + c \\ = {x}^{3} - 3 {x}^{2} + 3 + c[/tex]

Now substitute in A=10 and X=3, to find the value of c

[tex]10 = {3}^{3} - 3 {(3)}^{2} + 3(3) + c \\ c = 1[/tex]

Hence,

[tex]A = {x}^{3} - 3 {x}^{2} + 3x + 1[/tex]

is -13/3 rational or irrational

Answers

Answer:

It is irrational

Step-by-step explanation:

Hope that helps!

Not an actual test question but just curious:
if an exponential function is flipped by the x axis then is that function still positive or negative.
EX:

Answers

well, when we use the word "the function" we're referring to the dependent part, which depends on the independent, y,x wise, we're referring to the function "y" or f(x) if you wish.

so for an exponential function

is the function ever positive only? it can be

is it negative only?  it can be

can it be both?  sure thing, most of the time it's both

we can say a function f(x) is always positive when the independent values of "x" yield a positive value only, mind you that when we're talking about "the function" we're really referring to the resulting values in a set, so can the values of the output no matter what "x" we use be always positive? sure, can they also be negative only? sure, how about both? sure thing.

notice the template in the picture below, we can transform any exponential function like the one above 2ˣ with some vertical shift upwards, and is always positive, or -2ˣ with a vertical shift downwards and it's always negative, or we can stretch it about and have -2ˣ shifted upwards so sometimes is positive, and sometimes is negative.

above the x-axis is always positive, below is negative, but with transformations on the parent function it can be any of the three types.

The amount of money Camilla earns varies directly with the number of hours she works. If she earns $150 when she works 20 hours, how much will she earn for working 60 hours?

What is k ? (k = y/x)

What is the equation for the direct variation situation? (y = kx)

How much will she earn for working 60 hours?

Answers

What is k ? (k = y/x)

     If y is dollars earned and x is hours worked,

k = y/x

k = 150 dollars /20 hours

k = 7.50 dollars per hour

What is the equation for the direct variation situation? (y = kx)

y = kx

y = (7.50)(60)

y = 450

How much will she earn for working 60 hours?

y = $450

       She will earn $450 after working for 60 hours.

Understanding Distance Units
х
Stephen Kiprotich, the 2012 Olympic marathon winner,
completed the 26.219 miles in 128 minutes. What was
his speed in kilometers per minute? ?
What steps should you take to solve this problem?

Answers

Answer:

divide

Step-by-step explanation:

divide 26.216 and 128 to get ur anser

please help i need help ASAP

Answers

Answer:

118

Step-by-step explanation:

62+x=180

x=180-62

x=118

I have no idea how to do this (screen shot below)

Answers

Answer:

435 is the answer

Step-by-step explanation:

well first you can cut it up

9x7=63

than    8x15=120

than for the trangle

you do  24x 21= 504 than you do 504/2=252

than add all of them =435

You create a recipe for slime by making some 20% pure slime and some 80% pure to create 100 gallons of a 65% slime mixture. How man gallons of the 20% mixture are needed

Answers

About 25 gallons of 20% mixture are needed to make the 80% mixture.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of gallons of 20% mixture needed, hence:

(20% of x) + (80% of y) = 65% of 100

0.2x + 0.8y = 65   (1)

Also:

x + y = 100    (2)

From both equations:

x = 25, y = 75

About 25 gallons of 20% mixture are needed to make the 80% mixture.

Find out more on equation at: https://brainly.com/question/2972832

what is the factored form of the equation f(x)=4x^2-4x-8

Answers

Answer:

4(x² - x - 2)

Step-by-step explanation:

The highest common factor is 4 so factor it out.

Answer:

Step-by-step explanation:4x2−4x−84x2-4x-8Factor 44 out of 4x2−4x−84x2-4x-8.

Factor 44 out of 4x24x2.4(x2)−4x−84(x2)-4x-8Factor 44 out of −4x-4x.4(x2)+4(−x)−84(x2)+4(-x)-8Factor 44 out of −8-8.4(x2)+4(−x)+4(−2)4(x2)+4(-x)+4(-2)Factor 44 out of 4(x2)+4(−x)4(x2)+4(-x).4(x2−x)+4(−2)4(x2-x)+4(-2)Factor 44 out of 4(x2−x)+4(−2)4(x2-x)+4(-2).4(x2−x−2)


Factor x2−x−2x2-x-2 using the AC method


Consider the form x2+bx+cx2+bx+c. Find a pair of integers whose product is cc and whose sum is bb. In this case, whose product is −2-2and whose sum is −1-1.−2,1

Write the factored form using these integers.4((x−2)(x+1))4((x-2)(x+1))Remove unnecessary parentheses.4(x−2)(x+1)

Construct a specific 2x2 matrix a with no zero entries at all such that aat = i

Answers

A 2 x 2 matrix has 2 rows and 2 columns

A specific 2 x 2 matrix a with no zero entries at all is [tex]\left[\begin{array}{cc}1&-2\\-3&6&\end{array}\right][/tex]

How to construct the matrix?

From the question, we understand that the matrix is a 2 x 2 matrix.

A 2 x 2 matrix is represented as:

[tex]\left[\begin{array}{cc}a&b\\c&d&\end{array}\right][/tex]

Also from the question we understand that the elements of the matrix are non-zero.

This means that:

[tex]a \ne 0\ , b \ne 0, \ c \ne 0, \ d \ne 0[/tex]

An example of such matrix is:

[tex]\left[\begin{array}{cc}1&-2\\-3&6&\end{array}\right][/tex]

Note that there are several matrices that fit the given construction requirement

Read more about matrix at:

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what is the correct answer to this?

Answers

Answer:

1.4 meters

Step-by-step explanation:

Given,

Volume of rectangular prism ( V ) = 18.144 cubic meters

Width ( w ) = 2.7 m

Length ( l ) = 4.8 m

To find : d

Here, d is Height ( h ).

Formula : -

V = whl

18.144 = 2.7 x 4.8 x d

18.144 = 12.96 x d

d = 18.144 / 12.96

d = 1.4 meters

[tex] \huge\fbox\green{ANSWER} [/tex]

[tex]v = l \times w \times h[/tex]

[tex]18.144 {m}^{3} = 4.8m \times 2.7m \times d[/tex]

[tex]18.144 {m}^{3} = 12.96 \times d[/tex]

[tex] \frac{18.144 {m}^{3} }{12.96 {m}^{2} } = \frac{12.96 {m}^{2} }{12.96 {m}^{2} } \times d[/tex]

[tex]1.4m = d[/tex]

If x=3, calculate the value of:
X squared + 2x

Answers

[tex]x^2+2x\\\\\text{If x = 3,}\\\\3^2 + 2(3) = 9 + 6 = 15[/tex]

Identify the percent of change.
72 paper clips to 63 paper clips

Answers

Percentage Calculator: What is the percentage increase/decrease from 72 to 63? = 12.5.  

What is the measure of angle L and F? WILL GET BRAINLIEST!!!!!!​

Answers

Angle L
SinL = 6/10
L = sin-1(6/10)

L = 36.87°

Angle F
SinF =8/10
F = sin-1(8/10)

F= 53.13°

Harold got home from school at 3:50 P.M. and played video games for 1 hour and 5 minutes. Then, it took him 1 hour and 40 minutes to finish his homework. What time was it when Harold finished his homework?

Answers

Answer:

6:35.

Step-by-step explanation:

I start by adding the hours spent to the time leaving me with 5:50, I then add the 40 which brings it to 6:30 and the additional 5 minutes bringing the final answer to 6:35.

Answer:

6:35 PM

Step-by-step explanation:

When Harold got home, it was already 3:50 PM. Then he played games for an hour and five minutes. Adding on an hour, it made the time 4:50 PM, and then adding on the five minutes, made the time 4:55 PM. When he finished playing games, he took an hour and forty minutes to do his homework. 4:55 PM, adding on the hour makes it 5:55 PM, then adding the 40 minutes, makes it 6:45 PM.

- Educationist

The area of the rectangle is 49 square units.
The area of triangle 1 is 7 square units.
The area of triangle 2 is 14 square units.

What is the area of the polygon?

Answers

Answer:

[tex]\boxed{70 \ \text{units}^{2}}[/tex]

Step-by-step explanation:

I assume that the polygon is made up of a rectangle and two triangles. Thus, the area of the polygon is the area of the triangles and the rectangle.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

[tex]\text{Area of polygon} = \text{Area of rectangle} + \text{Area of triangle}_{1} } + \text{Area of triangle}_{2}[/tex]

➡ [tex]\text{Area of polygon}= 49 + 7 + 14[/tex]

[tex]{\bold{Area \ of\ polygon = 49 + 21 = \underline{70 \ units}^{2}}[/tex]

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

which shape is a trapeziod with only 1 pair of parallel sides

Answers

Answer: A Quadrilateral is a trapeziod with only 1 pair of parallel sides.

Hope this helps!

Answer:

The trapezoid itself, including quadrilaterals.

Trapezoids have 1 pair of parallel sides. See picture below.

Solve. k + 6 > 19

A.
k < - 13

B.
k > 25

C.
k > 13

D.
k < - 25

Answers

Answer:

k > 13

Step-by-step explanation:

[tex]k+6 > 19\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:k > 13\:\\ \:\mathrm{Interval\:Notation:}&\:\left(13,\:\infty \:\right)\end{bmatrix}[/tex]

[tex]\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}[/tex]

[tex]k+6-6 > 19-6[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]k > 13[/tex]

Thus, the answer is k > 13

[RevyBreeze]

A baker needs 500 cupcake wrappers for this month's orders.

He has 365 cupcake wrappers in his store.

He buys an additional 250 cupcake wrappers.

He wants to see if he has enough cupcake wrappers.


Complete the statements. Answer All


1. Should the baker round the wrappers up or down?


2. Estimate the total number for wrappers.


3. The baker has or doesn't have enough cupcake wrappers.


(I kinda forgot how to round and estimate

Answers

Answer:

the Baker should round up.

365=400 250=300 400+300=700. the Baker does have enough. and even if you add 365+ 250 you get 615 over 500.

The total number of wrappers is 615 wrappers, which implies bakes has enough cupcake wrappers.

Given that,
A baker needs 500 cupcake wrappers for this month's orders, he has 365 cupcake wrappers in his store. He buys an additional 250 cupcake wrappers.


What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Total number of wrappers = 365 +  250 = 615
But according to the condition, a baker needs 500 cupcake wrappers for this month's orders. So the number of wrappers exceeds 15.


Thus, the total number of wrappers is 615 wrappers, which implies bakes has enough cupcake wrappers.

Learn more about arithmetic here:

https://brainly.com/question/11424589

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Find LCD in number 16 and multiply all numerators by it to clear the fractions When barium nitrate solution is added to aqueous sulfurous acid a white precipitate forms what is the name of that white precipitate Use the following compound interest formula to complete the problem. a = p (1 startfraction r over n endfraction) superscript n superscript t sandra has two credit cards, p and q. card p has a balance of $726.19 and an interest rate of 10.19%, compounded semiannually. card q has a balance of $855.20 and an interest rate of 8.63%, compounded monthly. assuming that sandra makes no purchases and no payments with either card, after four years, which cards balance will have increased by more, and how much greater will that increase be? a. card qs balance increased by $7.22 more than card ps balance. b. card qs balance increased by $6.69 more than card ps balance. c. card ps balance increased by $3.43 more than card qs balance. d. card ps balance increased by $0.80 more than card qs balance. please select the best answer from the choices provided a b c d Zoe planted a walnut tree. Every week, she measures the tree and records itsgrowth. On the first week, the tree was 27 1/2 inches tall. On the second week, it was29 1/4 inches tall. On the third week, it was 31 1/3 inches tall. How much did the treegrow from the first week until it was measured on the third week? Show your work. Find 76% of 147 please answer HELP MEEEEEEEEEEEEEEEE In the figure below, k || l and m || n. Find the values of y and x. Which of the following is true about the decimal form of the number? 25/225A It is neither a terminating decimal nor a repeating decimal.B It is both a terminating decimal and a repeating decimal.C It is a repeating decimal the motion of _____waves can tear apart structures build on earth surfaces In which S.E.Asian country would you find a large population of Tagalog people? What were the most significant effects of the Market Revolution between 1800 and 1860?This is for APUSH VLACS 3.03. PLEASE HELP!! 5. Complete the following question with the correct form of poder:____mis padres venir a cenar?PuedoPuedenPodis Puedes what three ratios are equivalent to 6/18 What is the meaning of 'Pride always goes before a fall'? Where do many of the rivers in China and southeast Asia begin . WILL GIVE BRAINLIEST FOR THE BEST ANSWER . THANKS Convert the following fraction to a decimal 20/16 13. For three control stations, there should be how many start buttons in parallel with the auxiliary contact?A. sixB. threeC. oneD. nine Please answer this relatively quickly, I'm not in very much of a rush but would like to get this done. What's the guiding principle or reasoning of hammurabi's codea. retribution b. equality c. chaos d. leniency a) the cost of. kg oranges is rs 350 how many kg of oranges can be bought for rs 665b.). A car travel for 50 km.with the help of 5 litres of petrol how many litres of petrol is reauired to travel 120 km