A triangle has two sides of length 17 and 19. What is the smallest possible whole-number length for the third side?

Answers

Answer 1

Answer:

3

Step-by-step explanation:

A triangle has two sides of length 17 and 19. What is the smallest possible whole-number length for the third side?

To solve for the above question, a rule applies.

The rule states that:

The sum of any 2 sides must be greater than than the third side.

The possible values for the third side are

19 - 17 < x < 19 + 17( x is the third side )

2 < x < 36

Thus the smallest possible whole number is 3


Related Questions

What is the area of this figure? Enter your answer in the box.​

Answers

Answer:

58.5

Step-by-step explanation:

3x11=33

3x3=9

3x11/2=16.5

16.5+9=25.5

25.5+33=58.5

Thanks we have same question

Let f(x) = x^2
If g(x) is the graph of f(x) shifted up 4 units, write a formula for g(x)
G(x)=?

Answers

G(x)=x^2 +4 is the answer

an astronaut drops a rock off the edge of a cliff on the moon. the distance, d(t), in meters, the rock travels after t seconds can be modeled by the function d(t) = 0.8t^2. what is the average speed, in meters per second, of the rock between 5 & 10 seconds after it was dropped?

Answers

Answer:

The average speed between the times given is 12 m/s

Step-by-step explanation:

Here, we want to calculate rate of change between the times given

Mathematically , we can get the average rate of change using the formula

f(b)-f(a)/b-a

in this case, b = 10 s and a = 5 s

f(b) is d(10) = 0.8(10)^2 = 80

f(a) is d(5) = 0.8(5)^2 = 20

Rate of change is thus;

(80-20)/(10-5) = 60/5 = 12 m/s

Please no links . What’s the answer ?

Answers

Answer:

600 square feet

Step-by-step explanation:

I notice it says "Estimate" in bold. Therefore, you would round all of the measurements. They're all pretty simple to round (to the nearest tens place). From here, you subtract the length of the large room from the length of both rooms. So, 50 - 30 = 20. This is the length of the small room. We now multiply this by the width of the small room (since area of a rectangle is length * width) and we get:

20 * 30 = 600, our final answer

Hope it made sense. I would appreciate Brainliest, but no worries.

Your entry level position at the law firm is $34,000 and it increases by 2.5% each year.
A. Write an exponential function to represent this situation.
B. What will your salary be in 5 years? Round your answer to the nearest dollar.

pls I need this I'll give away the rest of my points​

Answers

Answer:

A) [tex]S(n) = 34000(1.025^{n})[/tex]

B) $38,468

Step-by-step explanation

[tex]34000 (1.025^{5}) = 38,467.8792[/tex]

two simple questions

Answers

Oh i love these x=4,y=9

Consider right triangle △ABC below.

Which expressions are equivalent to sin(∠B)?
Choose two answers:
A: tan(∠A)
B: length of side adjacent to ∠A/length of hypotenuse
C: sin(∠A)
D: AC/AB

Answers

Answer:

Khan academy

Step-by-step explanation:

The expressions that are equivalent to sin(∠B) are option (B) length of side adjacent to ∠A/length of hypotenuse and option (D) AC/AB are the correct answers.

What is trigonometry?

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a right-angled triangle and its angles.

For the given situation,

From the diagram,

The right angle is at ∠C, so opposite to that side is hypotenuse.

If we consider angle at ∠B, then the side opposite to that side is opposite side and the other side is adjacent side.

Thus, Sin∠B = [tex]\frac{oppposite}{Hypotenuse}[/tex]

⇒  Sin∠B = [tex]\frac{AC}{AB}[/tex]

From the options, now check which options is equivalent to Sin∠B,

Option (A): tan(∠A)

Now, consider the angle at ∠A,

so,   [tex]tan(\angle A)=\frac{oppposite }{adjacent}[/tex]

⇒  [tex]tan(\angle A) =\frac{CB}{AC}[/tex]

Option A is not equivalent to sin(∠B).

Option (B): length of side adjacent to ∠A/length of hypotenuse

⇒ [tex]\frac{AC}{AB}[/tex]

Option B is equivalent to sin(∠B).

Option C: sin(∠A)

[tex]Sin(\angle A)=\frac{CB}{AB}[/tex]

Option C is not equivalent to sin(∠B).

Option D: AC/AB

Option D is equivalent to sin(∠B).

Hence we can conclude that the expressions that are equivalent to sin(∠B) are option (B) length of side adjacent to ∠A/length of hypotenuse and option (D) AC/AB are the correct answers.

Learn more about trigonometry here

https://brainly.com/question/16965914

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The table and the graph show the population of a country between 2010 and 2015.

b. The average rate of population growth between 2013 and 2015 is 0.35 million
people per year. If the population continues to grow at this rate, in which year will
it reach 40 million? Explain your reasoning.

Answers

Answer:

I wanna say in the year of 2018.

Step-by-step explanation:

In 2018 the population will reach 40 million.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let us consider x years later it would reach 40 million.

So, 39.1 + 0.35 x = 40

0.35x= 40- 39.1

0.35x= 0.9

x= 2.57

x= 3 years

Hence, In 2018 the population will reach 40 million.

Learn more about algebra here:

https://brainly.com/question/24875240

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Please help .......... ASAP !

Answers

Answer:

i think it is (d) - 24.1

Step-by-step explanation:

have a nice day

brainliest please?

Find the length of the third side. If necessary, round to the nearest tenth.
8
7

Answers

Is there a picture to this

puntos gratis so solo responde jeje jajajajjajjaajjja

Answers

Answer:

thank you siekrkekkekfjfkkfkfkfkfkkfk

ok

Answer:

muchas gracias los necesitaba xd

A board game uses a fair six-sided die and a spinner with five equal-sized sections colored dark blue, green, light blue, red, and yellow. Players roll the die and then spin the spinner. Match each probability statement to its correct value. the probability of getting a 6 and any color except a shade of blue the probability of getting a 5 and a shade of blue the probability of getting an even number and a shade of blue the probability of getting at least 3 and any color except a shade of blue the probability of a getting at most 4 and yellow

Answers

The probability of getting a 6 and any color except a shade of blue is 2/15.

The probability of getting a 5 and a shade of blue is 1/30.

The probability of getting an even number and a shade of blue is 1/10.

The probability of getting at least 3 and any color except a shade of blue is 4/15.

The probability of getting at most 4 and yellow is 2/15.

We have,

The probability of getting a 6 and any color except a shade of blue:

This probability involves rolling a 6 on the die and getting any color except a shade of blue on the spinner.

Since the die has six equally likely outcomes and the spinner has four colors that are not shades of blue, the probability is (1/6) x (4/5) = 2/15.

The probability of getting a 5 and a shade of blue:

This probability involves rolling a 5 on the die and getting a shade of blue on the spinner.

Since the die has six equally likely outcomes and the spinner has one shade of blue section, the probability is (1/6) x (1/5) = 1/30.

The probability of getting an even number and a shade of blue:

This probability involves rolling an even number (2, 4, or 6) on the die and getting a shade of blue on the spinner.

Since the die has three even numbers and six equally likely outcomes, and the spinner has one shade of blue section, the probability is (3/6) x (1/5) = 1/10.

The probability of getting at least 3 and any color except a shade of blue:

This probability involves rolling a number greater than or equal to 3 on the die and getting any color except a shade of blue on the spinner.

Since the die has four outcomes (3, 4, 5, or 6) that satisfy this condition, and the spinner has four colors that are not shades of blue, the probability is (4/6) x (4/5) = 4/15.

The probability of getting at most 4 and yellow:

This probability involves rolling a number less than or equal to 4 on the die and getting yellow on the spinner.

Since the die has four outcomes (1, 2, 3, or 4) that satisfy this condition, and the spinner has one yellow section, the probability is (4/6) x (1/5) = 2/15.

Thus,

The probability of getting a 6 and any color except a shade of blue is 2/15.

The probability of getting a 5 and a shade of blue is 1/30.

The probability of getting an even number and a shade of blue is 1/10.

The probability of getting at least 3 and any color except a shade of blue is 4/15.

The probability of getting at most 4 and yellow is 2/15.

Learn more about probability here:

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A population of 45 foxes in a wildlife preserve doubles in size every 10 years. The function y = 45 * 2 ^ x where x is the number of 10-year periods, models the population growth . How many foxes will there be after 20 years After 20 years there will be Foxes(Type a whole number.)

Answers

Answer: 180

Step-by-step explanation:

Given

The population of 45 foxes doubles in 10 year period

Population follows [tex]y=45\cdot 2^x[/tex]

After 20 years i.e. x=2  Population is given by

[tex]y=45\cdot 2^2=45\times 4\\y=180[/tex]

Thus, there will be 180 foxes after 20 years

any one who tells me what 2+2 is you get brainiest

yalls lucky im feeling nice today btw just put anything as a answer and ill but brainiest

Answers

Answer:

4

Step-by-step explanation:

ty

hav meme

Answer:

2 + 2 = 4

Step-by-step explanation:

Can I get brainliest mademoiselle?

3. The length of a featured film is normally distributed with a mean of 105 minutes and a
standard deviation of 10 minutes. What is the probability that the film will run between
1.5 and 2 hours?
A 63.5%
B. 68.2%
C. 75.3%
D. 86.6%

Answers

The length begs a bath and the
A

Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk, and chair.


(a) How many ways can this be done, if the order of the choices is relevant?


?


(b) How many ways can this be done, if the order of the choices is not relevant?

Answers

Answer:24 , 4

Step-by-step explanation:

Given

There are 4 objects

(a)When the order is relevant

We use permutation to get the no of ways, that is

Choosing 3 objects out of 4

[tex]^4P_3=\dfrac{4!}{(4-3)!}=\dfrac{4!}{1!}\\^4P_3=24[/tex]

(b) When the order is not important, the same thing can be done in

[tex]^4C_3\ \text{ways}\\\\\Rightarrow \dfrac{4!}{1!3!}=4\ \text{ways}[/tex]

PLEASE HELP FAST!!!
find the equation of the line that is perpendicular to this line and passes through the point (-7, 6)


find the equation of the line that is parallel to this line and passes through the point (-7, 6)

Answers

Answer:

-7.6

Step-by-step explanation:

Find the measure of angle K. ​

Answers

Answer:

m∠K = 97°

Step-by-step explanation:

The sum of the measures of the angles of a quadrilateral is 360

127 + 5x + 3 + 10x + 7 + 88 = 360

15x + 225 = 360

15x = 135

x = 9

m∠K = 10x + 7 = 10(9) + 7 = 90 + 7 = 97°

Find the length of side a
13
a
5
A. 144
B. 194
C. 8
D. 12

Answers

Answer:

Step-by-step explanation:

i think i would need to see a picture

Answer:

D. 12

a^2 + b^2 = c^2

so that will be 5^2 + b^2 = 13^2

so now that we have the equation we just solve it

5^2 + b^2 = 13^2

25 + b^2 = 169

b^2 = 144

b = 12

5^2 + 12^2 = 13^2

25 + 144 = 169

so the answer is A) 12

louise decided to purchase a new mountain bike when he saw the sporting good store was offering 20% off their bike. what is the total cost of the mountain bike if the originally price at $249 and louise must pay 7.5% sales tax

Answers

$215.13




First off $249 x 20% = $49.8 so, $249- 49.8 = 199.2 ( the price after deducting the discount), 199.2 x 8% = 15.93 (this is the price of the tax), and 199.2 + 15.93 = $215.13 ( this is the price after the discount and with taxes) :D

Which function could be represented by the graph on the coordinate plane?

f(x) = (x – 8)2 + 6
f(x) = (x + 8)2 + 6
f(x) = (x + 8)2 – 6
f(x) = (x – 8)2 – 6

Answers

Answer:

It D

Step-by-step explanation:

M(-5,2) and N(5,2) are the endpoints of the sedment MN on the cordinate plane what is the length of MN

Answers

Answer:

10 units

Step-by-step explanation:

Given data

The points are

M(-5,2) and N(5,2)

x1=-5

y1= 2

x2=5

y2= 2

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((5-(-5))²+(2-2)²)

d=√10²+0²

d=√100

d=10

Hence the distance is 10 units

Use a ratio box to solve this problem the ratio of new pens was 4 to 7 in all there were 242 new pens how many new pens were in the box?

Answers

Complete Question

Use a ratio box to solve this problem the ratio of new pens to used pens was 4 to 7 in all there were 242 pens, how many new pens were in the box?

Answer:

88 new pens

Step-by-step explanation:

The ratio of new pens : Old pens = 4:7

Sum of Proportion = 4 + 7 = 11

Total number of pens = 242 pens

The number of new pens is calculated as:

4/11 × 242 pens

= 88 new pens

Therefore, the number of new pens = 88 new pens

Solve the answer
-3(2x-3)+10x=33

Answers

Your answer should be x=6

PLEASE HELP FAST!!!
find the equation of the line that is perpendicular to this line and passes through the point (-7, 6)


find the equation of the line that is parallel to this line and passes through the point (-7, 6)

Answers

Answer:

si..............................................

Choose the <,>,= symbols to answer the question

Answers

Answer:

Step-by-step explanation:

1.<

2.<

3.=

4.=

5.>

6.<

7.<

8.>

Please help I'm so stressed over this math ok here it is It costs $12.50 to enter an amusement park and $1.50 to play each game. Solve an inequality to find the number of games, g, Cole can play if he has $35 to spend at the park. Enter your answer in the box.

Answers

Answer:

12.50 + 1.50x < 35

Step-by-step explanation:

X represents the number of games that Cole plays. The admission price plus the money he spends on games should be LESS THAN or EQUAL to 35 dollars.

Can someone please help me on this

Answers

Answer:

9

Step-by-step explanation:

What is the value of x in the figure? Enter your answer in the box.

Answers

hold on give me a second i got this

Answer:

X = 65

Step-by-step explanation:

2(65) + 15 = 145

ur welcome

What are the coordinates of the point?


(6, −3)

(−3, −6)

(3, 6)

(−3, 6)

Answers

Answer:

(-3,6)

Step-by-step explanation:

As  graph shows x=-3 and y=6  

Answer:

-3 to +6 is the answer to the question

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