The lengths of two sides of a triangle are 4
and 6. The third side cannot be
tec
a) 6
b) 4
c) 3
d) 2

Answer: the answer is b

Step-by-step explanation:

Answer: B.63

Step-by-step explanation: OK so if angle VKQ is 153, then angle DKJ also has to be 153 because of vertical angles. Then we know that angle MKJ is 90, so angle DKM is angle DKJ. Minus 90. 153-90=63.

If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

Learn more about solutions to the system of inequalities here:

https://brainly.com/question/16339562

#SPJ1

The limit of the expression is determined as 0.

The limit of the expression is calculated as follows;

The given expression = lim (x ---> 9) [ ( x - 9 ) / √x - 3)

For the given limit in the expression, we have x maps to 9 or x tends to 9.

When x tends to 9, we will have;

x ---->9 = (9 - 9 ) / (√9 - 3)

= (0)/(-3 - 3)

note: since √x can be negative or positive, we will choose negative so that our solution will not be undefined.

= 0/-6

= 0

Learn more about limit expressions here: https://brainly.com/question/13027471

#SPJ1

\(\sf \longrightarrow \: \: \lim_{x\to \: 9} \: \: \: \frac{x \: - \: 9}{ \sqrt{x} - 3 } \\ \)

\(\sf \longrightarrow \: \: \lim_{ x\to \: 9} \: \: \: \frac{ ({ \sqrt{x} \: )}^{2} \: - \: {(3)}^{2} }{ \sqrt{x} - 3 } \\ \)

Now , by using Identity:-

\(\sf \longrightarrow \: \: \lim_{ x\to \: 9} \: \: \: \frac{ ( \sqrt{x} + 3)( \sqrt{x} - 3)}{ \sqrt{x} - 3 } \\ \)

\(\sf \longrightarrow \: \: \lim_{ x\to \: 9} \: \: \: \frac{ ( \sqrt{x} + 3) \cancel{( \sqrt{x} - 3)}}{ \cancel{ \sqrt{x} - 3} } \\ \)

\(\sf \longrightarrow \: \: \lim_{ x\to \: 9} \: \: \: \frac{ ( \sqrt{x} + 3)(1)}{1 } \\ \)

\(\sf \longrightarrow \: \: \lim_{ x\to \: 9} \: \: \: ( \sqrt{x} + 3)(1) \\ \)

\(\sf \longrightarrow \: \: \lim_{ x\to \: 9} \: \: \: ( \sqrt{x} + 3)\\ \)

\(\sf \longrightarrow \: \: \lim_{ x\to \: 9} \: \: \: ( \sqrt{9} + 3)\\ \)

\(\sf \longrightarrow \: \: \lim_{ x\to \: 9} \: \: \: \sqrt{9} + 3\\ \)

\(\sf \longrightarrow \: \: \lim_{ x\to \: 9} \: \: \: 3 + 3\\ \)

\(\sf \longrightarrow \: \: \lim_{ x\to \: 9} \: \: \: 6\\ \)

Answer:

618

Step-by-step explanation:

1st step: 6x3x412

2nd step: 7416/12

answer: 618

Answer:

IT'S 148

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

24* 2.25= 54

(.25 is 1/4 in decimal form)

Answer:

1.728 m^3

Step-by-step explanation:

120 cm = 1.20 m

V = 1.20^ 3 = 1.728 m^3

Answer:

\(\huge\boxed{\sf Volume = 1.728 \ m\³}\)

Step-by-step explanation:

Length = l = 120 cm = 1.2 m

We know that,

Volume = 1.2³

Volume = 1.728 m³

\(\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

Step-by-step explanation:

solution:

given,

or, 2:5 = 8:x

or, 2/5 = 8/x [ changing into fraction form ]

or, 2x = 40 [ doing cross-multiplication ]

or, x = 20 [ dividing both sides with 2]

By the concept of function, the value of g(x) obtained is

g(x) = 3f(x) is the required function

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here, from the graph, it can be seen that

g(1) = 3 and g(-1) = 3

Let g(x) = \(kx^2\)

g(1) = 3

\(k(1)^2 = 3\\k = 3\)

So g(x) = \(3x^2\) = 3f(x) is the required function

Option B is correct

To learn more about function, refer to the link:

https://brainly.com/question/22340031

#SPJ9

Complete Question

If f(x) = x², which equation represents function g?

A. g(x)=1/3f(x)

B. g(x)=3f(x)

C. g(x)=f(1/3x)

D. g(x)=f(3x)

The diagram has been attached here

Answer:

4 hours

Step-by-step explanation:

235-75 one time fee, so subtract = 160

160/40 = 4

Answer:

4 Hours

40x - 75 = 235

         -75    -75

40x  = 160

40x/40 = 160/40

x = 4

Answer:

A) 12 / 13

Step-by-step explanation:

The Sine of a number is defined as the ratio of the length of the side opposite the angle, divided by the length of the hypotensue.

The distance between the points (-1, 5) and (-7, -3) is 10 units.

The distance formula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

Point 1 (-1,5)

Point 2 (-7,-3)​

Plug the given values into the distance formula and simplify.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

D = √[(-7 - (-1))² + (-3 - 5)²]

D = √[(-7 + 1)² + (-3 - 5)²]

D = √[-6² + (-8)²]

D = √[36 + 64]

D = √100

D = 10

Therefore, the distance is 10 units.

Learn more about the distance formula here: brainly.com/question/24509115

#SPJ1

Answer:

20 bags

Step-by-step explanation:

683✖️19=12977

683✖️365=249295

249295/13000=19.17

--> 20 bags

Answer:

35) 352.14

36) 329.8

37) 339.4

38) 319.4

Answer: Equilateral, isosceles and scalene.

Step-by-step explanation:

Answer:

Step-by-step explanation:

ΔABC transformed by 5/2 to A'B'C':

A' = -10, 15

B' = -15, 10

C' = 5, -5

In order to solve the expression we need to isolate the "x" variable on the left side. This is done by switching terms from one side to the other of the equation, when we do that we should invert the operation of that term. If the term is multiplying on one side it should divide on the other and if it is adding on one side it should subtract on the other.

With this in mind:

The value of x is equal to -6.

We need to now evaluate the following expression:

f(8) means that we need to find the value of the function when x = 8. So we need to apply 8 to the function.

The value of f(8) is 25.

Part (a)

You are correct in choosing "Each dollar spent appears to earn the same number of points"

You are also correct in stating that spending $10 will earn 100 points.

This is because each $1 will get you 10 points.

============================================================

Part (b)

The first column says 2 customers need 6 minutes. Divide both of these values by 2 to get 1 customer needing 3 minutes. In other words, it's 3 minutes per customer.

Follow the same steps for the second column. We have 6 customers needing 18 minutes. Divide both parts by 6 to end up with the "1 customer needing 3 minutes" again. The same will happen with the last column as well.

No matter which column you pick, the rate is 3 minutes per customer.

So you'll select the second option which says "It appears to take the same amount of time to serve each customer"

To predict how many customers can be served in 27 minutes, divide that by 3 to get 27/3 = 9. We predict 9 customers will be served in this timeframe.

Answer: C) 165

Step-by-step explanation:

\(\displaystyle\\C_{11}^3=\\\\\frac{11!}{(11-3)!3!} =\\\\\\\frac{8!*9*10*11}{8!*1*2*3} =\\\\\\\frac{9*10*11}{2*3} =\\\\3*5*11=\\\\15*11=\\\\165\)

The company's linear cost function is C = 515 + 15x and the company's linear profit function is P = 69x - 515.

a) C = 515 + 15x

b) P = 84x - 515 - 15x

P = 69x - 515

Calculate the total cost.

Total cost = Fixed cost + Variable cost

Total cost = 515 + 15 x

Calculate the price per unit.

Price per unit = Total cost / Number of items

Price per unit = 1535 / 15

Price per unit = 84

Calculate the linear cost function.

Linear cost function = Fixed cost + Price per unit x Number of items

Linear cost function = 515 + 84 x

Calculate the linear profit function.

Linear profit function = Price per unit x Number of items - Linear cost function

Linear profit function = 84 x - 515 - 15 x

Simplify the linear profit function.

Linear profit function = 69x - 515

Therefore, the company's linear cost function is C = 515 + 15x and the company's linear profit function is P = 69x - 515.

To learn more about Fixed cost visit:

https://brainly.com/question/13904259

#SPJ4

As per the given data, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.

In mathematics, the intersection of two sets is a set containing all elements that are members of both sets.

In symbols, the intersection of two sets A and B is denoted by A ∩ B, and it contains all elements that belong to both A and B.

The intersection of two sets contains only the elements that are present in both sets. In this case,

R ∩ S = {x | x > 0 and x < 3}

The integers that are present in this set are 1 and 2.

Therefore, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.

For more details regarding intersection, visit:

https://brainly.com/question/30722656

#SPJ1

Rationalizing the denominator is not solely for the teacher's convenience but ultimately makes mathematical expressions easier to work .

The student's conjecture is that rationalizing the denominator is a purely cosmetic operation that only makes it easier for the teacher to grade. The teacher's conjecture, on the other hand, is that the rationalized form of the denominator is actually easier to use.

Upon analyzing these conjectures, I tend to agree more with the teacher's viewpoint. Rationalizing the denominator serves a practical purpose beyond grading convenience. When a denominator is rationalized, it eliminates radicals or complex expressions from the denominator, which can simplify calculations and make them more manageable.

In many mathematical operations and applications, working with rationalized denominators can lead to simpler and more elegant solutions. It allows for easier addition, subtraction, multiplication, and division of fractions, and it can also facilitate simplification, cancellation, and comparisons.

Additionally, rationalizing the denominator is often necessary in certain contexts, such as when solving equations or expressing mathematical relationships in a standardized form. It can help in identifying patterns, formulating general rules, and making mathematical expressions more accessible and comprehensible.

While it is true that rationalizing the denominator may add extra steps or seem more cumbersome initially, the long-term benefits of having a rationalized form outweigh the short-term inconvenience. Therefore, rationalizing the denominator is not solely for the teacher's convenience but ultimately makes mathematical expressions easier to work with and enhances the understanding and applicability of mathematical concepts.

For more questions on rationalized denominators

https://brainly.com/question/4427187

#SPJ8

The nearest kilometers to 999.09344471 km is 1000 km.

Given value is 999.09344471 Km.

We have to calculate the round off value to the nearest kilometers. we know that after the decimal if the value of tenth place is 5 or bigger than 5 then we add 1 to the tens place digit, this is the fundamental rule of rounding off.

Now on following this rule from the very right hand side up to the tenth place digit we come to the conclusion that only  the value after the decimal (934) is to be rounded off which is (900).

So 999.09344471 km is finally becomes 999.900 km after rounding of to nearest hundredth value.

Again rounding off 999.900 km to nearest km so it becomes 1000 km.

The nearest kilometers to 999.09344471 km is 1000 km.

For more details on round off follow the link:

brainly.com/question/1093198

Based on the line of best fit in the provided image, it appears that for y = 14, the estimated x-value is approximately 6.

By examining the line of best fit, we can estimate the x-value corresponding to y = 14. In the image provided, the line of best fit appears to be a straight line passing through several data points. Let's assume this line can be approximated by the equation y = mx + b, where m represents the slope and b represents the y-intercept.

To find the x-value when y = 14, we can substitute y = 14 into the equation and solve for x. However, since we don't have the equation explicitly, we will have to estimate the x-value based on the visual representation of the line of best fit.

Looking at the image, we can observe that the line of best fit intersects the y = 14 mark at approximately x ≈ 6. This is an estimation based on the position of the line relative to the given point.

Please note that this estimation is subject to the accuracy of the plotted points and the line of best fit in the image. For a more precise answer, the actual equation of the line of best fit or additional data would be required.

For more such questions on line visit:

https://brainly.com/question/24644930

#SPJ8

Answer:

D. 52 cubic units

Step-by-step explanation:

Answer: 145 is a rational number because it can be expressed as the quotient of two integers: 145 ÷ 1.

Step-by-step explanation:

10 divided by 0 problem would NOT have a solution.

Given:

a. 10 divided by 2

b. 10 divided by 5

c. 10 divided by 0

d. 0 divided by 10

We know that ,

Integer divided by an integer is an integer

Therefore (a) and (b) will have a proper solution

We also know that ,

Zero divided by anything is Zero

Therefore (d) also have a unique answer that is zero

Now , We know that

Any numeric value divided by Zero tends to infinity .

Hence, 10 divided by 0 problem would NOT have a solution.

Learn more about infinity at:

https://brainly.com/question/903340

#SPJ1

Answer:

Aquarium dimensions:

x = 3,106 m

h = 6,22 m

C(min) = 1277,62 $

Step-by-step explanation: (INCOMPLETE QUESTION)

We have to assume:

The shape of the aquarium  (square base)

Let´s call "x" the side of the base, then h ( the heigh)

V(a) = x²*h          h = V(a)/x²      

Cost of Aquarium   C(a) = cost of the base (in stones) + 4* cost of one side (in glass)

C(a) = Area of the base *120 + 4*Area of one side*30

Area of the base is x²

Area of one side  is   x*h   or  x*V(a)/x²  

Area of one side is V(a)/x

C(x) = 120*x² + 4*30*60/x

C(x) = 120*x² +  7200/x

Taking derivatives on both sides of the equation we get

C´(x) = 2*120*x  - 7200/x²

C´(x) = 0 means    240 *x  - 7200/x² = 0

240*x³ - 7200 = 0

x³ = 7200/240

x = 3,106 m   and  h = 60 /x²     h =   6,22 m

and C (min) = 120*(3,106)³ - 7200 / 3,106

C(min) =  3595,72 - 2318,1

C(min) = 1277,62

To find the value of x, we can set the two angle measures equal to each other and solve for x.

Given:

mZA = (4x - 2)°

mZB = (6x - 20)°

Setting them equal to each other:

4x - 2 = 6x - 20

Now, we can solve for x:

4x - 6x = -20 + 2

-2x = -18

Dividing both sides by -2:

x = -18 / -2

x = 9

Therefore, the value of x is 9.

Answer:

The answer is 9.

Step-by-step explanation:

We need to use the fact that the sum of the angles in a triangle is 180 degrees. Let A, B, and C be the three angles in the triangle. Then we have:

mZA + mZB + mZC = 180°

Substituting the given values, we get:

(4x - 2)° + (6x - 20)° + mZC = 180°

Simplifying the left side, we get:

10x - 22 + mZC = 180°

Next, we use the fact that angles opposite congruent sides of a triangle are congruent. Since we know that segment AC and segment BC are congruent, we have:

mZA = mZB

Substituting the given values and simplifying, we get

4x - 2 = 6x - 20

Solving for x, we get:

x = 9

Therefore, the value of x is 9.

The distance between MO is 9.

From the question MP is straight line and O & N is points between M & P.

so the total length of line is 15

Need to find MO , To find  MO = MP - (NP - NO)

                                                   = 15 - (8 -2)

                                                  = 15 - 6 = 9

The MO is 9.

To find points in graph :

To learn more about finding distance refer :

https://brainly.com/question/17273444

#SPJ13