How many sides does a polygon have if the sum of the measures of the interior angles is 5940

Step-by-step explanation:

i used the two methods....I hope this will help you!

Answer:

  A.  $96.00, $38.40, $15.36

  B.  after 6 years

Step-by-step explanation:

An exponential function has the general form ...

  y = (initial value) × (growth factor)^t

__

The growth factor is 1 more than the growth rate. Here, the "growth" is actually a decay at the rate of 60% per year, so the growth rate is -0.60. The initial value is $240. The value equation can be written ...

  y = 240(1 -0.60)^t

We want the value after t=1, t=2, and t=3 years.

  y = $240(0.4)^1 = $96 . . . value after 1 year

  y = $240(0.4)^2 = $38.40 . . . value after 2 years

  y = $240(0.4)^3 = $15.36 . . . value after 3 years

__

We want to find t when y < 1.

  240(0.4)^t < 1

  0.4^t < 1/240 . . . . . . . . . . . . divide by 240

  t × log(0.4) < log(1/240) . . . take logs

  t > log(1/240)/log(0.4) . . . . . . . inequality reverses because log(0.4) < 0

  t > 5.98

The bike will be worth less than $1 after about 6 years.

_____

Additional comment

For part A, we have shown the values after 1, 2, and 3 years. The expressions are shown on the same line preceding the value.

Answer:

Step-by-step explanation:

1/3 more than 1 is 1 1/3 or 4/3.

The fraction of the compact disks ordered  by the owner of the music store that are Soft Rock is 13/28.

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator. The numerator is the number above while the denominator is the number below.

1 - (1/4 + 2/7)

1 -[ (7 + 8) /28]

1 - 15/28 = 13/28

Answer:

I'll assume the ? is supposed to be t^2

See the answers below.

Step-by-step explanation:

h(t) = -4.91t^2 + 24.5t + 1

a) How high is the ball after 1 second?

h(1) = -4.91*(1)^2 + 24.5*(1) + 1

h(1) = 20.59 meters

b) Find the maximum height of the ball to one decimal place.

We can find the maximum height by graphing or by taking the first derivative and setting it equal to zero (the slope is zero at the top of the curve):

  First Derivative

 h(t) = -4.91*(t)^2 + 24.5*(t) + 1

'h(t) = -9.82*(t) + 24.5

0 = -9.82*(t) + 24.5

9.82t = 24.5

t = 2.49 seconds is the time the ball reaches maximum height.  Use that is the equation to find the height:

h(2.49) = -4.91*(2.49)^2 + 24.5*(2.49) + 1

h(2.49) = 31.6 meters

  Graph

See attached graph.  The maximum height occurs at t = 2.49 seconds and the height is 31.6 meters.

c) When does the ball reach its maximum height?

From the first derivative calculation above, t = 2.49 seconds to reach maximum height.  The graph also shows 2.49 seconds.  Better hurry.

d) When does the ball hit the ground?

The can be determined by either direct calculation of from the graph (attached).

Calculation:  

 h(t) = -4.91t^2 + 24.5t + 1

0 (ground) = -4.91t^2 + 24.5t + 1

4.91t^2 - 24.5t - 1 = 0  Solve with the quadratic equation.  I get t = 5.04 seconds

 Graph:

The graph shows 4.95 seconds.  Both agree when rounded to one decimal point:  5.0 seconds.

Answer:

  A. Numbers get smaller as you move to the left on the number line.

Step-by-step explanation:

A number line is typically drawn so that smaller, more negative numbers are on the left, and larger, more positive numbers are on the right.

__

  Numbers get smaller as you move to the left on the number line.

_____

Additional comment

Number lines can be drawn with any scale and range, depending on what they are intended to represent. For representation of small integers, it is not uncommon for a number line to range from -10 to +10. However, that is not the only possible range that might be used.

Any number line can be used to show number order (least to greatest ≡ left to right). A number line with a linear scale can also be used to show relative differences between numbers: a greater distance on the number line corresponds to a greater difference between numbers.

Answer: 1,3,4

Step-by-step explanation:

Answer: 1., 3., and 4.

Step-by-step explanation: On Edge!!

Answer :- 7½ or 8 ( explained below)

Explanation:-

Given :-

So in total :- 15 halves for both of them

It means :- 7½ cupcakes in total u required

if u can buy an half cupcake then u need to buy :- 7½

If u can't but an half cupcake then u need to buy :- 8

Answer:

Step-by-step explanation:

8 for learning games

Answer:

6741

Step-by-step explanation:

if its 10% smaller you would have to do the original precent, which is 100%, and subtract 10%, (90%) then divide 90 by 100 to get 0.9 and  multiply it by the total population, in this case 7,490, and you get your answer. i hope this helps :)

Answer:

C

Step-by-step explanation:

There are 4 aces and 4 sixes. 4 + 4 is 8 (since it says or) so the chance is 8 / 52. 8 / 52 simplified, divide both sides by 4 and you get 2 / 13.

Answer:

C

Step-by-step explanation:

there are 4 aces and 4 sixes in a deck of 52 cards.

"And" means a probability * another probability

"Or" means a probability + another probability.

In this case, it is (probability of picking an ace) + (probability of picking an six).

[tex]\frac{4}{54} + \frac{4}{54} = \frac{8}{54} = \frac{2}{13}[/tex]

Please pick as brainliest!

Answer:

0.13m

Step-by-step explanation:

1m = 100cm

0.13m = 13cm

Answer:

0.13 meters

Step-by-step explanation

In metric measures the conversion from meters to centimeters is

1 meter = 100 centimeter

because centi means one hundredth and meter means the unit meter.

Therefore, 1 cm = 0.01 meter. Now you just multiply 13 on both sides and you get 13 cm = 0.13 meters

11% of the total are left handed

so if we take random 100 students then 11% will be applicable to it also

so :-

[tex] \frac{11}{100} \times 100 \\ 11students[/tex]

Answer:

36ft

Step-by-step explanation:

9ft times 4ft= 36ft

Answer: 4(3 x + 3) would be equivalent to 12 x + 12 .

Step-by-step explanation: because both expressions remains the same for the value of x . *your welcome <3* .

Answer:

6

Step-by-step explanation:

A constant is a term without a variable.

Every other number has a variable (x,y) to it except for 6.

Feel free to save this for whenever you get stuck on things like this! I know this section is hard.

In the expression 8xy − 9x^2+ y − 5x +6 the constant term is 6 which is a fixed quantity or cannot be changed.

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have an expression:

[tex]\rm 8xy-9x^2+y-5x+6[/tex]

Let's denote it with f(x,y)

[tex]\rm f(x,y) =8xy-9x^2+y-5x+6[/tex]

As we know the constant term means which cannot be changed that values are fixed or fixed quantity.

From the above expression, the constant value in the expression is 6

Thus, in the expression 8xy − 9x^2+ y − 5x +6 the constant term is 6 which is a fixed quantity or cannot be changed.

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ4

Answer:

what is the question?

Step-by-step explanation:

Answer:

(x,y) ---> (x+9, y+8)

Step-by-step explanation:

you simply take one point (ex point R to R^1) and count the distance from left to right/right to left which is 9 so that is your X and count up which will be your Y in this case is 8.

The volume of the cone with a radius of 3 cm and height of 8 cm is 24 π cm³. Then the correct option is D.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Consider this composite figure made of a cone and a cylinder.

A cone has a height of 8 centimeters and a radius of 3 centimeters.

A cylinder has a height of 7 centimeters and a radius of 3 centimeters.

Then the volume of the cone will be

We know that the volume of the cone

[tex]\rm Volume = \dfrac{1}{3} \pi r^2 h[/tex]

Then we have

[tex]\rm Volume = \dfrac{1}{3} \ \pi \ 3^2 *8\\\\\rm Volume = \dfrac{1}{3} \ \pi *9*7\\\\\rm Volume = \dfrac{1}{3} \ \pi \ 72\\\\Volume = 24 \ \pi[/tex]

More about the geometry link is given below.

https://brainly.com/question/7558603

Answer:

24

Step-by-step explanation:

Got it right on the question

Answer:

answer is 15

please that is what I'm thinking

Answer:

a. 1

b. 1

Step-by-step explanation:

by looking at the graph you can deduce the answer.

The equation for the given graph is g(x) = x²-3, and the value of g(2) will be 5.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The equation for the function is,

g(x) = x²-3

The graph of a quadratic function that has something bowl-shaped. Any equation of the form ax²+bx+c=0  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

To find the value of g (2) the value of the function is,

g(2) = 2²-3

g(2) =8-3

g(2) =5

Thus, the equation for the given graph is g(x) = x²-3, and the value of g(2) will be 5.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

Answer:

  392.5 in²

Step-by-step explanation:

The area of a composite figure is found by decomposing it into areas that you have formulas for. This figure is easily decomposed to a trapezoid and a rectangle.

The base lengths of the trapezoid are 20 in and 9 in. Its height is the difference between the height of its top base (21 in) and the height of its bottom base (16 in). That difference is 5 in.

  A = 1/2(b1 +b2)h

  A = 1/2(20 in + 9 in)(5 in) = 72 1/2 in²

__

The area of a rectangle is the product of its base and height.

  A = bh

  A = (20 in)(16 in) = 320 in²

__

The area of the whole figure is the sum of the areas of its parts.

  area = trapezoid area + rectangle area

  area = 72 1/2 in² +320 in² = 392 1/2 in²

❍ Concept :-

⠀

We have been provided with some information regarding a rectangular shaped mat. And on the basis of that information, we will create some assumptions and create and equation and equate it to get our required answer.

⠀

✱ Given Information :-

⠀

A rectangular mat with,

⠀

✱ To Find :-

⠀

⠀

✱ Formula Used :-

⠀

[tex] \diamond \: \underline{ \boxed{\begin{array}{cc} \sf1. \: Perimeter_{Rectangle} = 2(l+b) \\ \\ \sf 2. ~Area_{Rectangle} = l\times b \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \end{array}}} \: \star \\ [/tex]

⠀

✱ Solution :-

⠀

Let the breadth of the mat be x, therefore,

⠀

Now, according to the question,

⠀

[tex] \sf \hookrightarrow 36 \: = 2(2x + x) \\ \\ \\ \sf \hookrightarrow 6x = 36 \: ft. \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow x = \cancel\frac{36}{6} = 6 \: ft. \: \: \\ [/tex]

Thus,

⠀

Now, we have to find out the area of the mat, thus,

⠀

[tex] \sf \hookrightarrow Area=6 \times 12 \\ \\ \\\sf \hookrightarrow Area=72 \: sq. ~ft. \\ \\ [/tex]

Thus, the area of the mat is 72 sq. ft.

⠀

[tex]\underline {\rule{221pt}{2.5pt}} \\ \\ [/tex]

Answer:

72 sq. feet

Step-by-step explanation

Since the perimeter is 36 feet and the length is 2w, you have to do the guess and check method.

I already did the guess and check method. So, here's how it became:

length =12

width=6

because 6x2=12 or 12 divide 2=6.

12 + 6 + 12 + 6.

12+6= 18. 12+6=18. 18+18=36 feet.

To find the area of a rectangle, you have to do L times W.

Which means 12x6.

12x6=72 sq. feet.

I hope this helps!!!

Step-by-step explanation:

x = "a number"

x/-5 - 18 > 3

Answer:

Step-by-step explanation:

Use the triangle inequality theorem, which states that the sum of any two side lengths must be greater than the third side length.

Apply this to each combination.

Use one inequality, compare the sum of smallest two sides with the largest side.

1) 4, 9, 8

2) 7, 25, 7

3) 8.8, 24, 15.8

4) 5, 9, 3

therer sorry for the cropped pic btw lol

Answer:

Below :)

Step-by-step explanation:

1) 5^2 = 25

2) 12^2 = 144

3) 9^2 = 81

4) 15^2 = 225

5) 8^2 = 64

6) 7^2 = 49

7) 20^2 = 400

8) 13^2 = 169

9) 30^2 = 900

10) 25^2 = 625

Answer:

so the equation would look like this, x - 3 = 5

the number or x = 8

Step-by-step explanation:

8 - 3 = 5

Hope this helps! :)