On solving the provided question, we can say that the function's value
[tex]limx→4+f(x)=6limx→4+f(x)=6[/tex]
What is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
function's value will be -
limx→4+f(x)
=6limx→4+f(x)
=6
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Complete question is: The table above gives values of the function fat selected values of [tex]$\mathrm{x}$[/tex]. Which of the following statements must be true?
[tex]$$\text { A } \lim _{x \rightarrow 2} f(x)=3$$[/tex]
[tex]$$B \lim _{x \rightarrow 2} f(x)=8$$[/tex]
[tex]C\ $\lim _{x \rightarrow 2} f(x)$ does not exist.[/tex]
[tex]D\ $\lim _{x \rightarrow 2} f(x)$[/tex] cannot be definitively determined from the data in the table.
Which system of equations is represented by the graph?
one parabola opening upwards and one parabola opening downwards intersecting at points (3, 9) and (-3, 9)
y = x2 + 3x
y = –x2 + x + 18
y = x2
y = –x2 +18
y = x2
y = x2 + 18
y = x2
y = –x2 – x – 18
Answer:
Blue: y = x²
Red: y = -x² + 18
Step-by-step explanation:
The blue parabola opens upwards, therefore the term in x² is positive.
The red parabola opens downwards, therefore the term in x² is negative.
The x-value of the vertices of both parabolas is x = 0.
Therefore, the equations of both parabolas will not have a term in x.
The y-intercept of the blue parabola is also the y-value its vertex: y = 0.
The y-intercept of the red parabola is also the y-value its vertex: y = 18.
Therefore, the equation for each parabola is:
Blue: y = x²Red: y = -x² + 18To check, substitute x = ±3 into both equations:
Blue
[tex]x=3 \implies y=(3)^2=9[/tex]
[tex]x=-3 \implies y=(-3)^2=9[/tex]
Red
[tex]x=3 \implies y=-(3)^2+18=9[/tex]
[tex]x=-3 \implies y=-(-3)^2+18=9[/tex]
Answer:
y = x2
y = –x2 +18
Step-by-step explanation:
I got it right on the test.
Which milk product will have approximately 15.36 grams of milk fat in an 80-gram serving? (Milk products and percent milk fat: Heavy Cream(36.7%), Light Cream(19.2%), Whole Milk(3.5%), Low-Fat Milk(1.5%), Skim Milk(0.05%)
The light cream milk product have approximately 15.36 grams of milk fat in an 80-gram serving.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Let n be the percentage of milk product to have approximately 15.36 grams of milk fat in an 80-gram serving.
Using percentage formula,
15.36 = n x 80 / 100
n = 1536 / 80
n = 19.2%
Therefore, the product is light cream milk.
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What is the gradient of 2x 3y 6?
The gradient of the linear equation 2x + 3y + 6 is (3/2).
The gradient of a linear equation in the form of y = mx + c is m, which represents the slope of the line. The slope is defined as the ratio of the change in y to the change in x. It represents the steepness of the line.
The equation 2x + 3y + 6 is not in the form of y = mx + c. It is in the form of Ax + By + C = 0, which is the general form of a linear equation. To find the gradient of such an equation we need to divide -A/B. In this case, the gradient of the line is -2/3.
The gradient of a line gives us the direction of the line, it is the slope of the line. It tells us how steep the line is and if it is going up or down. A positive gradient means the line is going up and a negative gradient means the line is going down.
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What is a 2 step equation that equals to 14
Answer:
2x + 1 = 29
Step-by-step explanation:
There are a lot of answers.
2x + 1 = 29
2x + 1 = 29 Subtract 1 from both sides
2x = 28 Divide both sides by s
x = 14
Start off knowing that x will be 14, then multiply 14 by some number and then add or subtract some number from that and put that on the other side of the equal sign.
x = 14
14 x 2 = 28 and then add 1 to that to get 29
2x + 1 = 29
Answer: Do you want x=14 or for it to equal 14, because I have it both ways. For x=14, an acceptable two step equation would be 2x-5=23. If you want it to equal 14, then you can write 5x-1=14
Step-by-step explanation:
For x=14:
2x-5=23
Add 5 on both sides
2x=28
x=14
For the equation to equal 14:
5x-1=14
Add one on both sides
5x=15
x=3
Triangle abc is to triangle efg because a vertical translation of units and a horizontal translation of units maps triangle abc onto triangle efg
Triangle ABC is translated to triangle EFG because a vertical translation of 10 units and a horizontal translation of 5 units maps triangle ABC onto triangle EFG.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
Triangle ABC.
A = (-9, -2)
B = (-9, -7)
C = (-7, -7)
Triangle EFG.
E = (-4, 8)
F = (-4, 3)
G = (-2, 3)
Now,
With a vertical translation of 10 units up on triangle ABC and 5 units right of the horizontal translation will give us triangle EFG.
i.e,
(-9, -2) = (-9 + 5, - 2 + 10) = (-4, 8)
(-9, -7) = (-9 + 5, -7 + 10) = (-4, 3)
(-7, -7) = (-7 + 5, -7 + 10) = (-2, 3)
Thus,
Vertical translation of 10 units up and horizontal translation of 5 units right.
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Answer:
1: Congruent
2: 10
3: 5
Step-by-step explanation:
Step 2: Testing Jerome’s brother’s approach
Jerome’s brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
Complete the table below.
The answer to the table is given below.
What is a ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"
Given:
Learn more about ratios here: Jerome’s brother told him to add one cup of water for every cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink. We get the following table using the constraints given in the question
Drink mix 3 4 5 6 7
water cups 8 9 10 11 12
Hence, The complete table is shown above.
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The weight (in pounds) and height (in inches) for a child were measured every few months over a two-year period. The results are given in the table.
Using technology, what is the slope of the least-squares regression line and what is its interpretation?
A) The slope is 1. 98, which means for each additional inch in height, the child’s weight will increase by 1. 98 pounds.
B) The slope is 1. 98, which means for each additional inch in height, the child’s weight is predicted to increase by 1. 98 pounds.
C) The slope is 0. 50, which means for each additional pound in weight, the child’s height will increase by 0. 5 inches.
D) The slope is 0. 50, which means for each additional pound in weight, the child’s height is predicted to increase by 0. 5 inches
Using the slope of the least-squares regression line, the interpretation will be: C) The slope is 0. 50, which means for each additional pound in weight, the child’s height will increase by 0. 5 inches.
A linear approach is linear regression, which is used to represent the relationship between a scalar answer and one or more explanatory factors in statistics. When there are many explanatory factors, multiple linear regression is employed; otherwise, simple linear regression is utilised. It is possible to predict the value of one variable using linear regression analysis and the value of another variable.
Predicting the dependent variable is what you want to do. The variable you are using to anticipate the value of the other variable is the one you are utilising as an independent variable. Lines of best fit are another name for regression lines. To demonstrate how several graph points might be connected, a line of best fit is used.
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3.5 x 4 + 11 x 2.2 = 115.5
i know what the answer is i used a calculator i just need to explain how i got the answer its the last question then im done it i might give the brain thing if i can
Answer:
3.5. 2.2.
x 4. x 1 1
------ -----------
14.0. 22
220
24.2
Step-by-step explanation:
answer for me is 38.2
are you sure ur math is right?
Nilda has 40 points on a game show. She answers the next question incorrectly and loses 50 points. Sketch a number line to find the new score.
A card i picked at random from a deck of 52 card. Find the probability that the card i either a queen or a diamond
the probability that the card is either a queen or a diamond is: 4/13
What is probability?A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
the proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally probable alternatives that result in a particular occurrence.
Example: When flipping a coin, there are only two possible outcomes: either it will land on its head or on its tail.
Number of cards, n(S) = 52
Let E = Event of getting a diamond
F = Event of getting a queen
(E ∩ F) = Event of getting a diamond of queen.
Then, n(E) = 13
n(F) = 4 ,
n (E ∩ F)=1
P(E) = 13/52 = 1/4
P (F) = 4/52 = 1/13
P (E ∩ F) = 1/52
(E or F) = P(E ∪ F) = P(E) + P(F) × P(E ∩ F)
P (E or F) = 1/4 + 1/13 - 1/52
P (E or F) = (13 + 4 - 1)/52
P (E or F) = 16/52
P (E or F) = 4/13
The required probability of getting either diamond or a queen is 4/13
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Is 4 a perfect square?
Answer:
ye
Step-by-step explanation:
Answer: Yes
Step-by-step explanation:
A perfect square is a number from a number system that can be shown as the square of the number in the given number system. 4 can be written as 2 x 2 Making 4 a perfect square. In other words, if a number can be multiplied by its self and equal the number you are trying to square, then it is a perfect square.
How do you determine if the given point is a solution of each linear inequality?
To determine whether the point [tex](1,2)[/tex] is a solution of inequality [tex]3x - 2y - 6 > 0[/tex], we substitute the point in the inequality and if the result is True, then it will be the solution .
What is an Inequality ?
The Inequality is defined as a relationship between two expressions or values that are not equal to each other .
The inequality in the question is given as : [tex]3x - 2y - 6 > 0[/tex] ;
the point is ⇒ [tex](1,2)[/tex] ,
to check the solution , we substitute the values in the inequality as [tex]x=1[/tex]and [tex]y=2[/tex] ;
we get , [tex]3(1) -2(2) - 6 > 0[/tex]
= [tex]3-4-6 > 0[/tex]
= [tex]3-10 > 0[/tex]
= [tex]-7 > 0[/tex],
But we know that , [tex]-7 < 0[/tex] , So , the given point is not the solution of the given inequality .
The given question is incomplete , the complete question is
How do you determine if the given point (1,2) is a solution of each linear inequality 3x - 2y - 6 > 0 ?
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URGENT!! 60 POINTS!!!!! Based on the linear table of ordered pairs, what is the y intercept?
Answer:
The y-intercept is (0, 8)-----------------------------------
According the the table the slope is:
m = (12 - 4)/(1 - (-1)) = 8/2 = 4Use slope-intercept form:
y = mx + b, where b is the y-interceptAnd substitute one of the ordered pairs, to find the value of b:
4 = 4(-1) + b4 = - 4 + bb = 4 + 4b = 8The y-intercept is (0, 8).
Aquarium one contains 4. 6 gallons of water Luis Will begin filling aquarium one at a rate of 1. 2 gallons per minute aquarium to contains 54. 6 gallons of water Isaac will begin draining aquarium two at a rate of 0. 8 gallons per minute
The Filling time is After 25 minutes, both Aquariums will contain same amount of water.
What is filling time?you've fully prepared the aquarium, all you need to do is follow these quick and easy steps and safely fill your aquarium with water.
Calculate the Filling Time of the aquarium Explanation
Given,
Water in Aquarium A = 4.6 gallons
Water in Aquarium B = 54.6 gallons
Filling rate = 1.2 gallons per minute.
Draining rate = 0.8 gallons per minute.
Let,
x represents the minutes.
A(x) = 4.6 + 1.2x
(Because Luis is adding water in the tank.)
B(x) = 54.6 - 0.8x
(Isacc is draining water from the tank.)
For same amount of water;
A(x) = B(x)
4.6+1.2x=54.6-0.8x
1.2x+0.8x=54.6-4.6
2x=50
Dividing both sides by 2
2x/2=50/2
x=25
Therefore, After 25 minutes, both Aquariums will contain same amount of water.
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Find the value of x that makes the equation true 7x=70
x=10
x=9
x=0
x=11
Answer: x = 10
Step-by-step explanation:
1. To find x, you need x to be by itself and the only way for it be like that in this situation is by dividing both sides by 7.
2. 7 divided by 7 cancels out and 70 divided by 7 = 10. This means x = 10.
Answer:
10
Step-by-step explanation:
since we have 7x=70
the multiply goes and becomes divide we get 70/7
and by dividing it we get the ans 10
What property of multiplication is 5x1 5 1x5 5?
The property used in this is the commutative law of multiplication.
What is the commutative law of multiplication?
In mathematics, commutative law refers to either of two rules relating to the addition and multiplication of numbers that are expressed symbolically as a + b = b + a and ab = ba. These principles imply that rearranging the terms or factors of any finite sum or product has no effect on it.
Here, we have
Given: 5x1 = 5 = 1x5
We have to find which property of multiplication is applied here.
5x1 = 5
1x5 = 5
We concluded from the given statement that the commutative law of multiplication is applied here.
commutative law of multiplication: ab = ba
Hence, the property used in this is the commutative law of multiplication.
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Evaluate a+4a+4a, plus, 4 when a=7a=7a, equals, 7
The evaluation of the expression a + 4 when a = 7 is 11
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
Expression: a + 4
Value a = 7
Substitute the known values in the above equation, so, we have the following representation
a + 4 = 7 + 4
Evaluate the like terms in the equation
So, we have the following representation
a + 4 = 11
Using the above as a guide, we have the following:
The solution is 11
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help meeeeeeeeeeeeee
I don't see the image. Can you send it in the message.
I have no clue about this.
Help!
Answer: 294 feet^2
Step-by-step explanation:
Find the volume of the cube.
Find the cube root of the volume.
Plug this answer into the formula for finding the surface area of a cube.
(area = 6 · s2)
Answer:
294cm[tex]^{2}[/tex]
Step-by-step explanation:
A cube has 6 faces
To find out the area of one face, you'd have to do 7x7 (7[tex]^{2}[/tex]).
To find out the total surface area of the cube, use this equation to help you:
AREA= 6(the amount of faces of the cube) × 7[tex]^{2}[/tex](the area of ONE face)
so in other words...
AREA=6×7[tex]^{2}[/tex]
AREA= 294cm[tex]^{2}[/tex]
hope this helped:)
Which of the following are possible examples of sampling distributions? (Select all that apply.) O all mean trout lengths in a sampled lake O mean trout lengths based on samples of size 5 O heights of college students at a sampled university O average SAT score of a sample of high school students
O average male height based on samples of size 30 X
The potential instances of sample distribution are options C and E.
Option E. Average male height based on samples of size 30.
Option C. Mean trout lengths based on samples of size 5.
The sampling distribution of the mean is the distribution of the variable x (all feasible sample means of size n) for a variable x and a given sample size n.
The mean is the most typical kind of sample distribution. Plotting the data points and computing the means of each sample group drawn from the population are its main goals.
This idea, which is a form of the probability distribution, is frequently used to gather precise data from a sizable population that is divided into a number of randomly chosen samples. This idea is further divided into three categories: T-Sampling, proportional sampling, and the sampling distribution of the mean.
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The correct questions should be like this:
Which of the following are possible examples of sampling distributions? (Select all that apply.) average SAT score of a sample of high school students
all mean trout lengths in a sampled lake
mean trout lengths based on samples of size 5
heights of college students at a sampled university
average male height based on samples of size 30
The solution process is shown for an equation. Justify each step in the process with the appropriate property. Select the correct answer from each drop-down menu. 2 ( 3 y + 4 ) − 3 ( y − 2 ) = 2 y original equation 6 y + 8 − 3 y + 6 = 2 y 3 y + 14 = 2 y combining like terms 14 = - y - 14 = y y = - 14
All the steps of the solution are written above. Then all the options are correct. And the solution is - 14.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given below.
2(3y + 4) − 3 (y − 2) = 2y
Simplify the equation, then we have
2(3y + 4) − 3 (y − 2) = 2y
6y + 8 − 3y + 6 = 2y
3y + 14 = 2y
14 = 2y - 3y
14 = - y
y = - 14
All the steps of the solution are written above. Then all the options are correct. And the solution is - 14.
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Simplify the expression below:
20-10y-7y + 9
A) Зу — 29
B) 3y + 11
C) 3y + 29
D) -17y + 11
E) -17y + 29
To simplify the expression 20-10y-7y + 9, we can combine like terms.
Like terms are terms that have the same variables raised to the same exponents. For example, 10y and -7y are like terms because they both have the variable y raised to the exponent 1.
We can start by combining the like terms:
20 - 10y - 7y + 9
= 20 + (-10y - 7y) + 9
= 20 + (-17y) + 9
Next, we can combine the constants:
20 + (-17y) + 9
= (20 + 9) + (-17y)
= 29 + (-17y)
The simplified expression is: 29 + (-17y)
[tex]20-10y-7y + 9[/tex]
Combine Like Terms:
[tex](-10y+-7y)+(20+9)[/tex]
[tex]-17y+29[/tex]
[tex]\fbox{Option E}[/tex]
Yolanda spends 8 2/3 hours per month playing soccer. approximately how many hours does she play soccer in a year?
Answer:
[tex]8 \frac{2}{3} \times 12 = 104[/tex]
Therefore, she spends 104 hours a year playing soccer.
Answer:
104 hours
Step-by-step explanation:
1 year = 12 months
Since 1 year equals 12 months, we multiply the time she spends in 1 month by 12 to calculate the time she spends in 1 year.
8 2/3 hours × 12
= (8 + 2/3) hours × 12
= (8 × 12 + 2/3 × 12) hours
= (96 + 8) hours
= 104 hours
What is the smallest number with the factors 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24
The smallest number with the factors 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, and 24 is 232792560.
With the elements 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, what is the smallest number?The smallest number that has all of the factors 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24 is 27720. This number is a product of the prime factors 2, 3, 5, 7, 11, 13, 17, 19. All of the factors can be written as a product of these prime factors, and multiplying them all together gives 27720. This is the smallest number that can be created with all of the given factors.The smallest number with the given factors is 2520. This number is the product of all the prime numbers from 1 to 10 (2 x 3 x 5 x 7 x 11 x 13 x 17 x 19 = 2520). It is also the smallest number that can be divided evenly by all the numbers from 1 to 10. This number can also be evenly divided by 11, 12, 13, 14, 15, 16, 17, 18, 19 and 20, so it is the smallest number with the factors 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, and 24.The smallest number with the factors 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24 is 2520. It is the smallest number that is evenly divisible by all of these numbers. To find it, the prime factorization of each of the numbers must be used. The prime factorization of each number is the product of the prime factors raised to the highest power.To learn more about the smallest number with the factors refer to:
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whats an=19-7(n-) in function form
The given expression is the explicit equation for arithmetic progression whose first term is 19 and the common difference is -7.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values.
here,
Given expression,
an=19-7(n-1)
The above-given expression is an explicit formula for the arithmetic progression,
Comparing the given expression with general expression an = a + d[n-1]
From the above comparison, we
first term,a = 19 and
the common difference, d = -7
Thus, the given expression is the explicit equation for arithmetic progression whose first term is 19 and the common difference is -7.
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the length breadth and height of a cuboid are in the ratio 7:5:2 its volume is 35840cm³
The length of the cuboid is 56 cm.
The breadth of the cuboid is 40 cm.
The height of the cuboid is 16 cm.
What is a cuboid?A cuboid is a three-dimensional shape where the volume is given by
Length x width x height.
We have,
Volume of a cuboid = 35840 cm³
The ratio of length, breadth, and height of the cuboid = 7:5:2
This means,
Length = 7x
Breadth = 5x
Height = 2x
Now,
(7x)(5x)(2x) = 35840
70x³ = 35840
x³ = 512
x = ∛512
x = 8
Now,
Length = 7x = 7 x 8 = 56 cm
Breadth = 5x = 5 x 8 = 40 cm
Height = 2x = 2 x 8 = 16 cm
Thus,
The length, breadth, and height of the cuboid are 56cm, 40cm, and 16 cm.
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54. Suppose the population of a country is currently 8,100,000. Studies show this
country's population is increasing 2% each year.
a. What exponential function would be a good model for this country's
population?
b. Using the equation you found in part (a), how many years will it take for the
country's population to reach 9 million? Round your answer to the nearest
hundredth.
a. The exponential function that is good model for the country population is:
Pₙ = 8100000(1.02)ⁿ ,
b. It will take 5.27 years to reach 9 million.
What is exponential function?An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.
Exponential Function Formula
An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent.
a. Given, initial population P₀ = 8100000, Rate of increase R = 2%.
If a constant rate of growth be R% per annum,
then function for population after n years
Pₙ = P₀ x (1+R/100)ⁿ
Population Pₙ = 8100000 × (1+2/100)ⁿ
Pₙ = 8100000(1.02)ⁿ
b. Let after x years population will be 9 million.
then,
9000000 = 8100000 (1 + 2/100)ˣ
(1 + 2/100)ˣ = 9000000/8100000
(1.02)ˣ = 90/81
(1.02)ˣ = 1.11
Taking log on both sides
ln (1.02)ˣ = ln (1.11)
ln(a)ⁿ = n ln(a)
x ln(1.02) = ln (1.11)
x = ln(1.11)/ln(1.02)
x = 5.27 years
Hence, the population will reach 9 million in 5.27 years.
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PLS PLS HELP ASAP!!! ILL GIVE BRAINIEST AND 50 POINTS!!!
Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by SAS
Answer:
Mark the sides BC and DF as congruent---------------------------------------------------We are given a side and an adjacent angle and need to identify the missing side or angle for proof by SAS .SAS is side-angle-side and requires two sides and the included angle to be congruent on both triangles.The missing bit is the other side of the marked angle B and D:sides BC or DF.
Step-by-step explanation:
Let the random variable h represent the height of a woman in the population. P(h<60) represents the probability of randomly selecting a woman with height less than 60 inches. Based on the information given, the probability can be found using either the discrete model or the normal model. 1. Give an example of a probability h that can be found using the discrete model but not the normal model
The probability of h that can be found using the discrete model but not the normal model is 0.03.
A discrete probability distribution or DPD (also known as a discrete probability model) records all possible values of a discrete random variable and gives their probabilities.
The normal probability model involves when the distribution of the continuous outcome conforms reasonably well to a normal or Gaussian distribution, which resembles a bell-shaped curve.
H represents the height of women
Determine P ( H < 60 ) using either a discrete or normal model
using discrete model
P ( H < 60 ) = ∑ relative frequencies of the women with height < 60 inches
P ( H < 60 ) = 0.01 + 0.02 = 0.03
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Two sides of a triangle have lengths 15 and 20. The length of the third side can be any number greater than A and less than
The third side of the triangle will be less than 35.
What is a triangle?A polygon with three angles, sides and angles is called a triangle.
Given that, Two sides of a triangle have lengths 15 and 20. The length of the third side can be any number greater than A and less than
We know that, triangle inequality theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.
Therefore, length of the third side < 15+20 < 35
Hence, the third side of the triangle will be less than 35.
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