A regular convex polygon has 14 sides. What is the sum of the measures of the interior angles?

Answer:

9x(2x + 1)

Step-by-step explanation:

Looking at the two terms, notice that you can write the first term as:

18x² = 9x * 2x

Then, we can see that the first term and second term both have 9x in them. That means 9x is a common factor, so we can take it out from both of them ("take it out" basically means "divide"):

18x² + 9x = 9x * 2x + 9x = 9x * (2x + 1)

Thus, the factored form is 9x(2x + 1).

Hope this helps!

Answer:

Answer is

Radius of a circle is 6 feet

Step-by-step explanation:

[tex]given \: diameter \: = 12 \: feet \\ d = 2r \\ radius = \frac{d}{2} \\ = \frac{12}{2} \\ = 6[/tex]

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Answer:

6ft

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:The correct answer is The spread is from 1966 to 1987

Step-by-step explanation:

Sam makes an error when recording by imputing the spread as being from 1966 to 1987 .If this happens ,then it will affect all other results such as the gap ,center and peak which will change

Answer:

A is the right answer

Step-by-step explanation:

I know this because i got it right on my test.

Answer:

= -18/2.25

Step-by-step explanation:

We can find the slope by using the following

m = (y2-y1)/(x2-x1)

   = (-12-6)/(3.75 - 1.5)

   = -18/2.25

Answer:

The answer to your question is the letter D.

Step-by-step explanation:

Data

Point A = (1.5, 6)

Point B = (3.75, -12)

Slope measures the steepnees of a line.

Formula

slope = m = (y2 - y1) / (x2 - x1)

-Asign values to x1, y1, x2 and y2

    x1 = 1.5  y1  = 6  x2 = 3.75  y2 = -12

-Substitution

          m = (-12 - 6) / (3.75 - 1.5)

-Simplification

          m = -18 / 2.25

-Result

         m = 8

It is possible to simplify more the result so slope = 8.

Answer:

5507.79 feet

Step-by-step explanation:

To find the height of the mountain, we can draw triangles as in the image attached.

Let's call the height of the mountain 'h', and the distance from the first point (31 degrees) to the mountain 'x'.

Then, we can use the tangent relation of the angles:

tan(34) = h/x

tan(31) = h/(x+1000)

tan(31) is equal to 0.6009, and tan(34) is equal to 0.6745, so:

h/x = 0.6745 -> x = h/0.6745

using this value of x in the second equation:

h/(x+1000) = 0.6009

h/(h/0.6745 + 1000) = 0.6009

h = 0.6009 * (h/0.6745 + 1000)

h = 0.8909*h + 600.9

0.1091h = 600.9

h = 600.9 / 0.1091 = 5507.79 feet

Answer:

19.6 gallons

Step-by-step explanation:

If 10 gallons of gas were used to drive 225 miles then If kareem drove on 1 gallon of gas would take 22.5 miles.

so 1 gallon=22.5 miles,441 miles=19.6 gallons because,441/22.5=19.6 gallons.

The Kareem 19.56 gallons of gas to drive 441 miles at the same rate.

To find the number of gallons Kareem to drive 441 miles at the same rate, set up a proportion based on the given information:

Miles driven / Gallons of gas = Miles to be driven / Gallons of gas

Using the values provided:

225 miles / 10 gallons = 441 miles / x gallons

cross-multiply to solve for x:

225x = 10 ×441

Dividing both sides of the equation by 225:

x = (10 ×441) / 225

Calculating the value:

x ≈ 19.56

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Answer:

look it up on google if you havent tried already. also it doesn't hurt to ask for help from someone you know.

Step-by-step explanation:

Answer: 978 in. squared

Step-by-step explanation:

area of the rectangle : 24 x 30 = 720

area of the two triangles combined : (9 x 12) ÷ 2 = 54 x 2 = 108

area of the triangle on top of the other triangle : (20 x 15) ÷ 2 = 150

720 + 108 +150 = 978

Answer:

Step-by-step explanation:

Yes. n represents the number of week

Answer:

1: number of weeks

2. the payment amount for the end of week n

3: A

Answer:

y = 1/2x - 3/2

Step-by-step explanation:

The easiest way to find the inverse is to switch x and y and solve for y.

y = 2x + 3

x = 2y + 3 (Switch)

x-3 = 2y (Subtract y from both sides)

x/2 - 3/2 = y (Divide both sides by 2)

Answer:

The inverse is 1/2x -3/2

Step-by-step explanation:

y = 2x+3

To find the inverse, exchange x and y

x = 2y+3

Solve for y

Subtract 3 from each side

x-3 = 2y+3-3

x-3 =2y

Divide each side by 2

x/2 -3/2 = 2y/2

1/2x -3/2 =y

The inverse is 1/2x -3/2

Answer:

10

Step-by-step explanation:

2/15 of 75

2/15 × 75

2 × 75/15

2 × 5

10

Answer:

A = 120 units^2

Step-by-step explanation:

The area of a parallelogram is

A = bh

The base is 15 and the height is 8

A = 15*8

A = 120 units^2

Answer:

120

Step-by-step explanation:

multiply the height,8, by the length, 15.

Given:

The height of the given fig = 7.5 unit

The radius of the given fig = 3.6 unit

To find the volume of the given composite figure.

Formula

The volume of the given fig

[tex]V = V_{1}+V_{2}[/tex]

where,

[tex]V_{1}[/tex] be the volume of the cone

[tex]V_{2}[/tex] be the volume of the semicircle

[tex]V_{1}=\pi r^{2} h[/tex], r be the radius and h be the height

[tex]V_{2} = \frac{2}{3} \pi r^{3}[/tex], r be the radius

Now,

Putting, r= 3.6, h = 7.5 and π = 3.14 we get,

[tex]V_{1} =(3.14)(3.6^{2} )(7.5)[/tex] cube in

or, [tex]V_{1}= 305.208[/tex] cube in

And,

[tex]V_{2} =\frac{2}{3} (3.14)(3.6^{3})[/tex] cube in

or, [tex]V_{2} = 97.67[/tex] cube in

So,

[tex]V = 305.208+97.67[/tex] cube in

or, [tex]V = 402.878[/tex] = 402.88 cube in

Hence,

The volume of the given figure is 402.88 cube in.

Step-by-step explanation:

The sum of the square of a number and 7 times a number

The phrase a number means an arbitrary variable, let's call it x.

x

Square the number:

x^2

7 times the number means we multiply x by 7:

7x

The sum means we add x^2 and 7x

x^2 + 7x

Answer:

The answer is x² + 7x + 10 = 0.

Step-by-step explanation:

First, you have to make an expression. By reading the question, we can make it :

Let number = x,

Square of a no,

x²

7 times a no,

7 × x

= 7x

And means ADD equals to -10,

x² + 7x = -10

x² + 7x + 10 = 0

(By forming an equation, you have to let expressions equals to 0, so I add 10 to both sides in order to get rid of -10)

Answer:

see explanation

Step-by-step explanation:

Given

y = 3(x - 3)(x - 2)

To find the x- intercepts, let y = 0, that is

3(x - 3)(x - 2) = 0

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 2 = 0 ⇒ x = 2

Thus the x- intercepts are x = 2 and x = 3

To find the y- intercept let x = 0 and equate for y, that is

y = 3(0 - 3)(0 - 2) = 3(- 3)(- 2) = 3 × 6 = 18

Thus the y- intercept is y = 18

Answer:

66

Step-by-step explanation: What i did was take and figure out the pattern which is -7 every number. Then i went and multiplied 7 x 37 and got 259. Then I took 259 and subtracted that from 339 and got 66 which should be your answer.

Answer:

Her annual salary is $45,845.28

Step-by-step explanation:

Multiplication is the process of multiplying. Celia' s annual salary is $48,845.28.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that Celia's biweekly salary is $1,763.28. Therefore, her weekly salary will be,

Celia's weekly salary = Celia's biweekly salary/ Number of weeks

Biweekly mean once in two weeks, therefore,

Celia's weekly salary = $1,763.28 / 2 weeks

Celia's weekly salary = $881.64 per week

Now, a complete year has 52 weeks, therefore, Celia's annual salary will be,

Celia's annual salary = Celia's weekly salary × Number of weeks in a year

                                   = $881.64 per week × 52 weeks

                                   = $48,845.28

Hence, Celia' s annual salary is $48,845.28.

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Answer:

m/slope = -1.5

Step-by-step explanation:

Answer:

x+5=12

x=7 aka D

Step-by-step explanation:

Hope it helps !

Final answer:

To solve the equation (x + 5) / 3 = 4 for x, multiply both sides by 3 and then subtract 5 from both sides, which yields the solution x = 7.

Explanation:

To solve the equation (x + 5) \/ 3 = 4 for x, we start by performing the inverse operation of the division by 3 to isolate x. We multiply both sides of the equation by 3:

3 * ((x + 5) \/ 3) = 3 * 4

Now, the equation simplifies to:

x + 5 = 12

Next, we subtract 5 from both sides of the equation to solve for x:

x + 5 - 5 = 12 - 5

Which gives us:

x = 7

So the answer to the equation is D) 7.

Answer:

23/40 = as a decimal: 0.575   As a percentage 57.5%

Step-by-step explanation:

I know this because I used a online site to check my work.

I hope this helps you! :)

plz mark brainliest :)

Hey there,

The first step in solving this problem would have to be to add the two binomials together:

Knowing this now we find the GCF which would have to be 2x which goes into both terms.

The factored form would have to be 2x(5x - 2).

The GCF is 2x and the factored form is 2x(5x - 2).

Hope I helped,

Amna

The GCF for the expression (6x2 + 4x) + (4x2 - 8x) is 2x, and the expression in factored form is 2x(5x - 2).

To determine the greatest common factor (GCF) and write the expression in factored form for (6x2 + 4x) + (4x2 - 8x), we should first combine like terms:

6x2 + 4x + 4x2 - 8x = 10x2 - 4x

We can then identify that both terms have a common factor of 2x. Factoring that out, we get:

2x(5x2/2x - 4/2) = 2x(5x - 2).

Transformation involve moving a point away from its original location.

The vertices of the pre-image are (–1, 0) and (–1, –5).

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

The rule is given;

[tex]r_{y = x} T_{4,0(x,y)}[/tex]

The rule means that

ABCD was translated by 4 units to the right, then reflected over line y = x,

The rule of right translation by 4 units,

(x, y) --- (x+4, y)

The rule of reflection over,

(x, y) --- ( y, x+ 4)

The coordinates of A"B"C"D" are: (-4, 5), (-1, 5), (0, 3), (-5, 3).

Hence, the vertices of the pre-image are (–1, 0) and (–1, –5).

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Answer:

(1,80)

Step-by-step explanation:

hope i am being a good help

Final answer:

To convert 110 minutes to a fraction of 4 hours, we first turn both quantities into minutes and then form a fraction. Reducing this fraction to its lowest terms, 110 minutes to 4 hours can be expressed as the fraction 11/24.

Explanation:

To express 110 minutes in terms of hours, we need to divide the number of minutes by 60, since there are 60 minutes in an hour.

110 minutes ÷ 60 minutes = 1 hour 50 minutes

Now we have to represent 1 hour 50 minutes as a fraction of 4 hours. First, let’s convert 1 hour 50 minutes entirely to minutes to make it easier to compare. There are 60 minutes in an hour, hence:

1 hour = 60 minutes
50 minutes = 50 minutes
Total minutes = 60 + 50 = 110 minutes

Since we know 4 hours is the same as 240 minutes (4 hours x 60 minutes/hour), we can now write the fractional notation:

110 minutes / 240 minutes

Reducing this fraction to lowest terms by dividing both the numerator and the denominator by 10 yields:

11 / 24

Therefore, 110 minutes to 4 hours is expressed as the fraction 11/24 in lowest terms.

Answer:

The third side is sqrt(5)

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

We know the legs are 1 and 2 and we are looking for the hypotenuse.

1^2+2^2 = c^2

1+4 = c^2

5 =c^2

Take the square root of each side

sqrt(5) = sqrt(c^2)

sqrt(5) =c

The third side is sqrt(5)

Answer:

[tex]\sqrt{5}[/tex] or 2.236

Step-by-step explanation:

The pythagorem theorm states that side 1^2 + side^2 = hypotenuse^2

2^2 + 1^2 = h^2

4+1 = h^2

5 = h^2

[tex]\sqrt{5} = \sqrt{h^{2} }[/tex]

[tex]\sqrt{5} =h[/tex]

Answer:

0.1m/s²

Step-by-step explanation:

the explanation is in the picture

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Answer:

2x - y = 7

x + y = 2

-------------

3x = 9

x = 3, y = -1