I need help with this!!

Answer:

n = 8

Step-by-step explanation:

interior angle = [tex]\frac{180(n-2)}{n}[/tex]

given that interior angle = 135° then equating gives

[tex]\frac{180(n-2)}{n}[/tex] = 135 ( multiply both sides by n to clear the fraction )

180(n - 2) = 135n ← distribute parenthesis on left side

180n - 360 = 135n ( subtract 135n from both sides )

45n - 360 = 0 ( add 360 to both sides )

45n = 360 ( divide both sides by 45 )

n = 8

number of sides is 8

Answer:The Flemish giant rabbit weighs 32 pounds.

Step-by-step explanation:

The length and width of the lot are 46m and 36m  respectively

Let the width of the lot be x,

therefore, length=x+10 (as the lot must be 10m longer than it's wide)

Now, according to the question:

Area of the lot= 1656 m²

Area of a rectangle is given by the product of it's length to width, that is:

⇒ Length × Width= 1656 m²

⇒ (10+x).x= 1656

⇒ 10x+x²= 1656

⇒ x²+10x-1656=0

⇒x²+46x-36x-1656=0

⇒x(x+46)-36(x+46)=0

⇒(x-36)(x+46)=0

⇒x=36 or x=-46(which can be ignored)

∴ x=36 and 10+x=46

So, the length of the lot is 46m and the width is 36m.

To learn more about area of rectangle,

visit; brainly.com/question/8663941

#SPJ4

The solution to the equations y = -x + 3 and 2x - y = 6 is at the point  (3, 0)

What is Linear Equation?

A linear equation is an algebraic equation with simply a constant and a first-order (linear) component of the form y=mx+b, where m is the slope and b is the y-intercept. The above is sometimes referred to as a "linear equation with two variables," where y and x are the variables.

Please refer to the graph attached

y = -x + 3

2x - y = 6

So, from the graph it can be observed that the curves of both the equations intersectr at the pont (3, 0) so,

the solution to the equations is at the point  (3, 0)

To learn more about Linear Equation from the given link

https://brainly.com/question/2030026

#SPJ1

Therefore , the solution of the given problem comes out to be that one statement is true other than else are false.

In mathematics, inequalities describe the connection between two variables that are not equal. Equal implies to be equal, not. The "not equal symbol ()" is typically used to indicate that two values are not equaivalent. But different inequalities are used to compare the data to see if one is more or less than the other.

Here,

0 < a<1<b

Multiply all terms by b since b>1

0 < ab < b < [tex]b^{2}[/tex]

Since

b > 1 , then ab > a so then ,

0 < a<ab <  b < [tex]b^{2}[/tex]  

Given that,

F. 0< ab<a, Never true

G. 0< ab<1, Not always true

H. a< ab<1, Not always true

J. a< ab<b, True

K. b< ab, Never true

Therefore , the solution of the given problem comes out to be that one statement is true other than else are false.

To know more about inequality , visit

https://brainly.com/question/20383699

#SPJ4

The Ancient Egyptians were the first to invent a dish close to what we know as a pie today. They had a honey filling covered in a crusty cake made from oats,

And cost of one pumpkin pie = $8

Let the cost of one apple pie be $x

And cost of one pumpkin pie be $ y.

According to given problem,

For Lisa :  sold 8 apple pies and 4 pumpkin pies for a total of $80

8x + 4y = 80   ------------(1)

For Shreya :  sold 8 apple pies and 3 pumpkin pies for a total of $72

8x + 3y = 72    ---------------(2)

Solving equation (1) and (2), to get x and y.

Subtract equation (2) from equation (1)

i.e 8x + 4y - (8x +3y) = 80 - 72

or 8x - 8x + 4y - 3y = 8

or  y = 8

And x = 6   { 8x + 4×8 = 80   or x = (80 - 32)/8  = 48/8 = 6 }

Hence, the cost of one apple pie = x = $6

And cost of one pumpkin pie = y =$8

To learn more about Fruits refer to:

https://brainly.com/question/21999294

#SPJ1

Since the probability is less than equal to 0.8907, then the value of x is 0.9750.

Given, the random variable is from of a normal distribution with

μ = 4 and  σ = 1.37

.where, μ  is the mean value and σ  is the standard deviation.

According to the Question:

P(X≤8.907) = P( X−μ/σ ≤ 0.8907 - 4.00/ 1.37)

                  = P ( Z ≤ -29196.43)

​                  

Using Z-table we get a value of x which is 0.9750

So,

P(X ≤ 0.8907) = 97.50%

According to the calculations, the required value of x is 97.50%.

Learn more about Probability:

https://brainly.com/question/11234923

#SPJ4

Answer:

1

Step-by-step explanation:

This is where the line intercepts (crosses) the x-axis, here is 1.

The length of the television would be = 24.6 inches

The Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

That is, a² + b² = c²

Where, c.= the diagonal length of the TV = 38 inches

a = the width of the TV = 29 inches

b = the length of the TV =>X inches

Using the formula;

29² + x² = 38²

x²= 38² - 29²

x² = 1444 - 841

x² = 603

x = √603

X= 24.6 inches.

Learn more about length here:

https://brainly.com/question/28108430

#SPJ1

If Tommy is flying his kite one afternoon and notices that he has let out

the entire 130 ft of string.  The height , to the nearest foot, is his kite at this time is : 144 ft.

Given data:

String = 130 ft

Angle =  48°

Let h represent the height

Hence,

Tan48° = h/130

h= 130 tan48°

h = 130 (1.11061251483)

h = 144 ft

Therefore we can conclude that the height is 144ft.

Learn more about height here:https://brainly.com/question/1739912

#SPJ1

If the line y=-x+4 is tangent to the graph of f(x) = x^2 - 5x + a, it means that the line and the graph of the function are just touching at a single point, and are not intersecting at any other points.

To find the value of a, we can start by setting the equation for the line and the equation for the function equal to each other:

y = -x + 4

f(x) = x^2 - 5x + a

Then, we can substitute the equation for the function into the equation for the line:

-x + 4 = x^2 - 5x + a

We can then solve this equation for a by moving all the terms to one side:

-x + 4 - x^2 + 5x = a

-x^2 + 6x - 4 = a

We can see that the left-hand side of this equation is a quadratic expression in x, and we know that a quadratic function is tangent to a line when the line is a horizontal tangent. This occurs when the derivative of the function is equal to the slope of the line.

The derivative of f(x) = x^2 - 5x + a is 2x - 5, so we can set this equal to the slope of the line, which is -1:

2x - 5 = -1

2x = -6

x = -3

Now that we know the value of x, we can substitute it back into the equation for the function to find the value of a:

f(-3) = (-3)^2 - 5(-3) + a

f(-3) = 9 + 15 + a

f(-3) = 24 + a

Since the line and the function are just touching at this point, the y-value of the function at x=-3 must be equal to the y-value of the line at x=-3. We can substitute these values into the equation for the line to find the value of a:

y = -(-3) + 4

y = 3 + 4

y = 7

Substituting this back into the equation for the function, we get:

f(-3) = 24 + a = 7

a = 7 - 24

a = -17

Therefore, the value of a is -17.

what do you mean by tangent?

A tangent is a line that touches a curve at a single point, but does not intersect the curve at any other points. In other words, it is a line that is just "skimming" the curve, rather than crossing it.

To learn more about tangent

https://brainly.com/question/4470346

#SPJ1

The negation of the statement "I am in physics class"will be:

I am not in history class - False.

It is not the case that I am in history class. - False.

It is not the case that I am in physics class. - True.

I am in history class - True.

It should be noted that a negation simply means the negative of the statement or sentence that's given. In this situation, the statement is that "I am in physics class".

The negation that supports it will be that "It is is not the case that I am in physics class" and "I am in history class". This negates the original sentence.

Learn more about negations on:

brainly.com/question/17965175

#SPJ1

Answer:

Below

Step-by-step explanation:

All of the  angles are the same (their opposite sides are =)....it is an equilateral triangle

 all of the angles sum to 180°

  each angle is then 60°

    5y+10 = 60

       5y = 50

          y = 10 °

An equation in slope-intercept form for the line that passes through (9,12) and is parallel to y=4 is y= 4x -24.

What is Parallel lines?

Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.

Parallel lines will have the same slope but different y-intercepts  so again we can  use the coordinates to determine the y intercept of the new equation.

So we know that the slope intercept formula is y=mx + b where m is the slope and b is the y-intercept so we will input the x and y coordinates to solve for b.

12 = 4(9) + b

12 = 36 + b

b = -24

The equation will be y= 4x -24.

To learn more about Parallel lines visit:https://brainly.com/question/16701300

#SPJ1

The statement is algebraically as x^2/18

An algebraic expression can be defined as an expression that contains variables, constants, terms, coefficients and factors.

These expressions are also known to include mathematical or arithmetic operations, such as;

It is also important to note that fractions are the part of a whole variable or element.

From the information given, we have that;

a number squared

Let the number be x, we have;

(x ^2 /2+ 16)

Add the denominators

x^2/18

Hence, the expression is x^2/18

Learn more about algebraic expressions here:

https://brainly.com/question/4344214

#SPJ1

Complete question:

a number squared divided by 2 added to 16.

Write in algebraic form.

Answer: 6.

Step-by-step explanation:

Since it starts with 2 kilometers in 3 minutes add 3 more minutes that would but six then double the kilometers to 4 then add another 3 minutes which would but 9 where it stops and add another 2 in the kilometers then i would be 6 .

step by step:

1. 3 minutes and 2 km

2. add 3 more (6) and double the kilometers 2 times(4)

3. add 3 more (9) and add another 2 to the km (9)

Answer: pls show list of equations

Step-by-step explanation:

Answer:D. y = 3/4x + 1

The inequality that models the domain of the linear function d(x)=  96 - 6*x is:

0 ≤ x ≤16

Here we know that Tiah buys a 96-ounce bag of dog food, and she gives the dog 6 ounces per day.

Then the amount of food remaining after x days is modeled by the linear equation:

d(x)=  96 - 6*x

The domain starts at x ≥ 0, now we need to find the upper bound, to do that, we need to find the value of x such that the remaining dog food is 0, so we need to solve:

d(x) = 0 = 96 - 6*x

6x = 96

x = 96/6 = 16

So the maximum value that x can take is x = 16, then the ineqeuality that defines the domain of d(x) is:

0 ≤ x ≤16

Learn more about inequalities:

https://brainly.com/question/24372553

#SPJ1

Using slope-intercept form, the slope and y-intercept of the equation are 1 and - 7 respectively

The slope-intercept formula is often used to calculate or identify the slope, the y-intercept, the x-intercept, or the equation of a straight line in the equation.

The slope of the line is defined as the rate of change of the y - axis to the change in the x - axis.

The formula is represented as;

m = Δy / Δx

where Δ represent the change

The y-intercept of a line is the point at which the line touches the y-axis of the graph.

With these information, we can write a slope-intercept form of a straight line which is given as;

y = mx + c

In the given question;

x - 3 = 4

Let's collect like terms

x - 3 - 4 = x - 7

The equation can be rewritten as y = x - 7

In this case, the slope is 1 and the y-intercept is - 7

Learn more on slope-intercept form here;

https://brainly.com/question/4074386

#SPJ1

The planet that has the larger mass is the planet B and the measurements in standard forms are

From the question, we have the following parameters that can be used in our computation:

Planet A = 5*10^26 kilograms

Planet B = 2*10^28 kilograms

Rewrite the masses properly

So, we have

Planet A = 5*10²⁶ kilograms

Planet B = 2*10²⁸ kilograms

The exponent 28 is greater than the exponent 26

This means that

2*10²⁸ is greater than 5*10²⁶

So, we have

Planet B has the larger mass

When the measurements are expressed in standard forms, we have

Planet A = 500000000000000000000000000 kilograms

Planet B = 20000000000000000000000000000 kilograms

Read more about standard forms at

https://brainly.com/question/1708649

#SPJ1

The future value of the account in 2 years is $2226.15

The given variables can be represented as:

The Future value can be calculated using the formula given as

FV = P(1 + r/n)^nt

Also from the question, we have

n = 4

This is so because the investment is compounded 4 times in a year as a result of being compounded quarterly

Solving further, we replace the variables with their values in the above equation

FV = 1900 * (1 + 8%/4)^(4 * 2)

Evaluate

FV = 2226.15

Hence, the amount is $2226.15

Read more about compound interest at:

brainly.com/question/2455673

#SPJ1

A product is designed to function for 10,000 hours with a 3% chance of failure , then Average number of failures per hour = 0.03/10000 = 0.000003 and MTTF = 1/0.000003 = 333,333 hours

Given,

Chance Product is designed to function for 10,000 hours

of failure is 3%

To find,

Average number of failures per hour

MTTF

Solution,

Average number of failures per hour = Chance of failure/Total hours of function

= 3%/10000

= 0.03/10000

= 0.000003

MTTF = 1/Average number of failures per hour

= 1/0.000003

= 333,333 hours

The product is designed to function for 10,000 hours with a 3% chance of failure. This means that the average number of failures per hour is 0.000003 and the Mean Time To Failure (MTTF) is 333,333 hours. This means that, on average, the product should last 333,333 hours before it fails.

Learn more about average here

https://brainly.com/question/24057012

#SPJ4

In an exhibition, the cost of tickets for an adult is 5 more than thrice the cost o f ticket for a child.  

What is   equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

Equation relates the cost, y, of adult ticket in terms of the cost, x, of child ticket.

Cost of Adult ticket = y

cost of child ticket  = x

cost of tickets for an adult is 5 more than thrice the cost o f ticket for a child.  

=> cost of tickets for an adult = 5 + 3 (cost o f ticket for a child.)

=> y  = 5 + 3x

=> y = 3x + 5

Equation is   y = 3x + 5

To learn more about equation visit:

https://brainly.com/question/29657992

#SPJ1

With the Application of Arithmetic operators the value of given equation is 492.

what is Arithmetic operators?

an operator that works with groups and numbers in arithmetic. The prefix and the binary plus (+) and minus (-) symbols are the only arithmetic operators in AHDL that are supported for Boolean expressions.

solution:

sub  k =8,j=2 in equation k^3-4j = 12

Therefore, (8)^3 - 4 (2) = 12

                  512 - 8 - 12 = 0

492 is the value.

Therefore the value of given equation is 492

To learn more about Arithmetic operators from the given link

https://brainly.com/question/13181427

#SPJ1

Complete Question:
What Is The Answer
k3 - 4j +12, when k=8, j=2​

The product of the given polynomial is, [tex]y^6[/tex].

What is  product?

One of the four fundamental arithmetic operations, along with addition, subtraction, and division, is multiplication. A product is the output of a multiplication operation.

A product is something that has undergone one or more multiplications. For instance, the mathematical formula "times equals" would be written with the terms "times," "multiplicand," and "product," respectively.

Consider the given,

[tex]\sqrt{y^3} *\sqrt{y^3}[/tex]

We have to find the product of these numbers.

Since, the product of square root numbers

[tex]\sqrt{a} *\sqrt{b} = ab[/tex]

⇒ [tex]\sqrt{y^3}*\sqrt{y^3}= y^3*y^3[/tex]

Using the exponent rule,

[tex]a^b*a^c = a^b^+^c[/tex]

⇒ [tex]y^3*y^3 = y^3^+^3 = y^6[/tex]

Hence, the product of the given polynomial is, [tex]y^6[/tex].

To learn more about product, click on the link

https://brainly.com/question/13152087

#SPJ1

For the Δabc the measure of angle c is ∠c = 113°.

What is triangle?

Three edges and three vertices make up a triangle, which is a polygon. It is among the fundamental shapes in geometry. Triangle ABC refers to a triangle with the vertices A, B, and C. In Euclidean geometry, any three points that are not collinear determine a singular triangle and a singular plane at the same time.

Consider, the given triangle Δabc with a = 30°, b = 37°.

We have to find the measure of ∠c.

Since the sum of three angles of triangle is 180°.

So,

∠a + ∠b + ∠c = 180°

30° + 37° + ∠c = 180°

67° + ∠c = 180°

∠c = 180° - 67°

∠c = 113°

Hence, for the Δabc the measure of angle c is ∠c = 113°.

To know more about triangle, click on the link

https://brainly.com/question/25215131

#SPJ1

Volume of the cylinder is = [tex]\pi r^{2}h[/tex] = [tex]3.14 * (.9)^{2}*2.9[/tex] = 7.37586 = 7.38 cu. mm

A cylinder is a three-dimensional solid that maintains, at a given distance, two parallel bases connected by a curving surface. These bases often have a circular form (like a circle), and a line segment known as the axis connects the centres of the two bases. The height of the cylinder is "h," while the radius of the cylinder is "r," measuring the distance from the axis to the outside surface.

Each form has specific characteristics that set it apart from other shapes. Consequently, cylinders share those same traits.

Radius(r) of the cylinder is .9 mm

Height(h) of the Cylinder is 2.9 mm

Volume of the cylinder is = [tex]\pi r^{2}h[/tex] = [tex]3.14 * (.9)^{2}*2.9[/tex] = 7.37586 = 7.38 cu. mm.

To learn more about Cylinder refer to :

https://brainly.com/question/29983052

#SPJ1