The sum of the measure of the interior angles of a polygon is 2160°. What polygon is it? 14-gon 12-gon 13-gon 15-gon

Answers

Answer 1

Answer:

It is a 14-gon.

Step-by-step explanation:

Sum of internal angles of an  n sided polygon =  180(n - 2) degrees.

2160 = 180(n - 2)

2160 = 180n - 360

`180n =  2520

n = 2520 / 180

= 14.

Answer 2

Answer:

12-gon

Step-by-step explanation:


Related Questions

Solve.
The cost of having a package delivered by Quick Bicycle
Delivery is a function of the weight of the package. The
graph of this function is shown
What does the slope
represent in the
function?
Cost of Delivery
25
Weight (lb)
Tell whether each statement is True or False.
a. When the weight is greater
than 15 pounds, the cost
will be greater than $10.
b. An equation that represents
this graph is y * +0.6.
c. The slope is 1
d. The cost of delivery decreases
by $0.60 for each pound the
weight decreases
o True
True
True
I False
False
False
True
False

Answers

Answer:

Step-by-step explanation:

true

true

false

true

true

false

true

false

Equation for 6422 divided by 26

Answers

Answer:

247

Step-by-step explanation:

Answer:

6422÷26=247

Step-by-step explanation:

Marisol has 64 ounces of lemonade to sell. She divides it into 4 ounce cups. Then she sells 13 cups. How many cups of lemonade does she have left?
Show Your Work

Answers

Answer:

3 cups

Step-by-step explanation:

first, divide the number of ounces (64) by the ounces in the cups (4). you get 16. 16 represents the total amount of cups.

we know that she sold 13 cups and the question asks how many cups she has left. so you subtract 16 and 13 and ur final answer is 3

What is the answer?

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

If y
per
wha
If you roll a number
cube 50 times, how
many times do you
expect to roll a
number less than 3?
seci

Answers

Answer:

8.333

Step-by-step explanation:

50 (times)/ 6 (amount of numbers possible on cube)

The path of a rotating fan has a diameter of about 18 inches and a circumference of about 56 inches. The path of a smaller model of the fan has a circumference of about 9 inches. What is the diameter of the rotating path of the smaller model? Round the nearest tenth.

Answers

Step-by-step explanation:

Proportionately the smaller diameter

18×9=162

162/56=2.89 inches

round it so it's approx 3 inches

Eric needs to find the area of the base of a
cylinder. Which formula will help him

Answers

Answer:

πr2

Step-by-step explanation:

If you want to find the base of a cylinder, the formula is AB=πr2.

Answer:

AB=πr2

Step-by-step explanation:


|x−y+z| if x=3; y=−2; z=−6

Answers

Answer:

1 is the answer

Step-by-step explanation:

[tex] |x - y + z| = |3 + 2 - 6| \\ = | - 1| = 1[/tex]

What is the value of x in the proportion (x - 1)/5 = (4x + 2)/35?

Answers

Answer:

x=3

Step-by-step explanation:

1. cross multiply to get

5(4x+2)= 35(x-1)

2. distribute

20x+10=35x-35

3. combine like terms

45=15x

4. divide :)

3=x

Answer:

x = 3

Step-by-step explanation:

(x - 1)/5 = (4x + 2)/35

to find the value of x

the first thing to do is to cross multiply

from this ,

(x-1)/5 = (4x + 2)/ 35

35(x-1) = 5( 4x + 2)

35x - 35 = 20x + 10

we are going to collect the like terms

35x -20x = 10 + 35

15x = 45

we are going to divide both sides by the coefficient of x which is 15

we have,

15x/15 = 45/15

x = 3

therefore the value of x = 3

to check if your answer is correct, put the value of x and slot it into one of the equations.

35x - 35 = 20x + 10

35(3) - 35 = 20(3) + 10

105 - 35 = 60 + 10

70 = 70........................ proved.

Simplify the expression
6x^2+20/4

Answers

Answer:

6x2+5

Step-by-step explanation:

includes the points (-6 , n) and (-8, -9) has a slope of 4 what is the value of n?

Answers

Step-by-step explanation:

[tex]slope \: = \frac{n - ( - 9)}{ - 6 - ( - 8)} \\ \\ \therefore \: 4 \: = \frac{n + 9}{ - 6 + 8} \\ \\ \therefore \: 4 \: = \frac{n + 9}{ 2} \\ \\ \therefore \: 4 \times 2= n + 9 \\ \\ \therefore 8= n + 9 \\ \\ \therefore \: n = 8 - 9 \\ \\ \huge \red{ \boxed{\therefore \: n = - 1}}[/tex]

A motorcycle travels 230 miles on 4 gallons of gasoline.
How far can the motorcycle travel on 5.5 gallons?

Answers

Answer:

50 miles per gallon

Explanation:

225 miles divided by 4.5 gallons will give the miles per gallon.

225

4.5

=

50

miles per gallon

Step-by-step explanation:

Answer: i think its 316.25

Step-by-step explanation: i divided 230 and 4 which gives you 57.5 then i multiplied that with 5.5 and i got 316.25

The ratio of bananas to apples was 2 to 3. If there where 18 bananas how many apples where there

Answers

Answer:

There were 27 apples.

Step-by-step explanation:

Set a ratio of bananas to apples like this:

bananas/apples = 2/3

Now you have 18 bananas. The number of apples is unknown, so use "a" for the number of apples.

bananas/apples = 18/a

The two ratios above are equal, so set them equal. That creates a proportion.

2/3 = 18/a

Now we solve for a by cross multiplying.

2a = 3 * 18

2a = 54

a = 27

Answer: There were 27 apples.

Add: 43 + ( -13)

Will mark show work if correct

Answers

43+(-13)
Answer:30

Work:
43+-13
43-13
30

The answer to this problem is 30.

Step-by-step explanation:

43+-13

=30

Check: 43-13  also =30.

So the answer to this equals 30.

8. A company sells concrete in batches of 5 cubic yards. The probability distribution of X, the number of cubic
yards sold in a single order for concrete from this company, is shown in the table below.
|
X = the number of cubic yards
Probability
10
10.15
15
0.25
20
0.25
25
0.30
30
0.05
The expected value of the probability distribution of X is 19.25 and the standard deviation is 5.76. There
is a fixed cost to deliver the concrete. The profit Y, in dollars, for a particular order can be described by
Y = 75X - 100. What is the standard deviation of Y?
(A) $332.00
(B) $432.00
(C) $532.00
(D) $1,343.75
(E) $1,400.00

Answers

Answer:

$432

Step-by-step explanation:

75(5.76)=432

The standard deviation of Y is $432 and this can be determined by using the formula of standard deviation and the given data.

Given :

A company sells concrete in batches of 5 cubic yards. The probability distribution of X, the number of cubic  yards sold in a single order for concrete from this company, is shown in the table below.The expected value of the probability distribution of X is 19.25 and the standard deviation is 5.76. There  is a fixed cost to deliver the concrete. The profit Y, in dollars, for a particular order can be described by  (Y = 75X - 100).

The formula to obtain the standard deviation is given below:

SD(Y) = SD(75X - 100)

Simplify the above expression by substituting the value of SD(X) and SD(100) in the above expression.

SD(Y) = 75SD(X) - SD(100)

SD(Y) = 75 SD(X) - 0

SD(Y) = 75 [tex]\times[/tex] 5.76

SD(Y) = $432

Therefore, the correct option is B).

For more information, refer to the link given below:

https://brainly.com/question/12402189

-2x(3x - 4) = 0 Write the equation in standard form.

Answers

Answer:

x=0

Step-by-step explanation:

First, we expand.

-2x(3x-4)=0

-6x+8x=0

2x=0

x=0

Represent Jacey wrote an equation to
find an angle measure. What do a and b
stand for in Jacey's equation?
360° divided by a=b

Answers

Explanation:

Her we know that Jacey wrote an equation to  find an angle measure. The equation is as follows:

[tex]\frac{360^{\circ}}{a}=b[/tex]

So, if the angle 360° is a central angle, that is, an angle between two radii in a circle, then:

a: Represents the number of equal parts parts the circle is divided

b: Represents the measure of the central angle of each part

For example, suppose you have a circle and want to divide it into six parts, then, the central angle of each part of the circle will measure 60 degrees as indicated in the figure below.

Sophia uses 1/2 pound of white flour to make
one loaf of bread and 1/4 pound of cake flour to
make one cake. Which shows how many cakes
and loaves of bread Sophia can make with the
amount of flour that she has?

I give lot of points

Answers

Sophia can make 12 cakes and 4 loaves of bread.

The right answer is Option A.

Step-by-step explanation:

Given,

White flour used for one loaf of bread = 1/2 pound

White flour available = 2 pounds

Cake flour used to make one cake = 1/4 pound

Cake flour available = 3 pounds

We will divide the available amount by the amount used for one.

No. of loaves of bread = [tex]\frac{2}{\frac{1}{2}}=2*2[/tex]

No. of loaves of bread = 4

No. of cakes = [tex]\frac{3}{\frac{1}{4}}=3*4[/tex]

No. of cakes = 12

Therefore,

Sophia can make 12 cakes and 4 loaves of bread.

The right answer is Option A.

Which equation is the inverse of y = x2 – 36?
O y=+√x+6
y=1\x+36
2 y=+ X + 36
y=+Vx2+36

Answers

Answer:

y=1\x+36

Step-by-step explanation:

While mining, Joan found a large metal bar that weighted 40 grams. Joan was able to determine that the bar contained 35% zinc. How many grams of zinc are in the metal bar? Round you answer to the nearest whole number if necessary.

Answers

Answer:

14g zinc

Step-by-step explanation:

To get the mass of zinc in the metal bar, you can multiply the percentage of zinc by the total mass.

40g x .35 = 14g zinc

The metal bar contains 14 g zinc in the 40 grams metal bar.

What are percentages?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here: A metal bar weighs 40 grams and it contains zinc equivalent to 35%

Let the weight of the zinc contained in the metal be x

Then we have x=35/100×40

                           =14 grams

Hence, The metal bar contains 14 g zinc in the 40 grams metal bar.

Learn more about percentages here:

https://brainly.com/question/29306119

#SPJ2

Robert is lying on the ground, looking at the top of a flagpole. The angle of elevation to the top of the flagpole is
55° . What is the height of the flagpole if the distance from his eyes at the ground to the base of the flagpole is
400 ft? Round to the nearest foot.
550
400 ft​

Answers

Answer:

Height of flagpole = 571 ft

Step-by-step explanation:

Given:

Angle of elevation to the top of the flagpole is 55° .

Distance from the eyes to the base of flagpole = 400 ft.

To find the height of the flagpole.

Solution:

We can draw the situation as a right triangle as shown below.

In triangle ABC.

[tex]BC=400\ ft[/tex]

∠C= 55°

To find the length AB (height of the flagpole).

Applying trigonometric ratio :

[tex]\tan\theta=\frac{Opposite\ side}{Adjacent\ side}[/tex]

[tex]\tan C=\frac{AB}{BC}[/tex]

Plugging in values.

[tex]\tan 55\°=\frac{AB}{400}[/tex]

Multiplying both sides by 400.

[tex]400\tan 55\°=\frac{AB}{400}\times 400[/tex]

[tex]571.26=AB[/tex]

∴ [tex]AB\approx 571\ ft[/tex]

Height of flagpole = 571 ft

Final answer:

The flagpole's height is approximately 571 feet when rounded to the nearest foot.

Explanation:

To find the height of the flagpole, we use the angle of elevation and the distance from the observer to the flagpole's base, which forms a right-angled triangle. We can calculate the height of the flagpole by using the tangent function:

Tan(55°) = (height of the flagpole) / 400 ft

Therefore,

(height of the flagpole) = tan(55°) * 400 ft

A calculator can be used to find that tan(55°) approximately equals 1.4281.

Multiplying this by 400 gives the height of the flagpole:

Height of the flagpole = 1.4281 * 400 ft

Height of the flagpole ≈ 571.24 ft

When rounded to the nearest foot, the height of the flagpole is approximately 571 feet.

Which is a correct classification for the triangle?
equiangular triangle
acute triangle
right triangle
obtuse triangle

Answers

Answer:

acute

Step-by-step explanation:

If f(x) = 2x^2 and g(x)= x^2 + 2x, which expression represents f(g(x))?

A) 2x^4 + 4x^2
B) 4x^4 + 4x^2
C) 2x^4 + 8x^2
D) x^4 + 4x^3 + 4x^2
E) 2x^4 + 8x^3 + 8x^2

Answers

I think the answer is E

What is the 15th term in the sequence using the given formula?

yn = 12n-1

Answers

Answer:

Step-by-step explanation:

hello :

yn = 12n-1

the 15th term is :y15 when x= 15

y15 = 12(15)-1

y15 = 179

Ronda's car is valued at $24,000, and she owes $22,000 on it. What is her
current equity?
O
A. $46,000
O
B. $2000
O
C. $4000
O
D. $24,000

Answers

Answer:

b. $2000

Step-by-step explanation:

yo just need to take away the smaller from the bigger number..

Answer:

Answer B:$2000

Is her current equity

Consider the triangle. Right triangle A B C. Side A C is 24 centimeters, C B is 10 centimeters, and hypotenuse A B is c. Find the length of the hypotenuse, c.   The length of the hypotenuse is cm.

Answers

Answer: The length of the hypotenuse is 26 cm

Step-by-step explanation: Please refer to the attached diagram

The triangle ABC is drawn as described such that the right angle is at point C and line AB is the hypotenuse which is yet unknown.

Since we have a right angled triangle with two sides known and one unknown, we can apply the Pythagoras theorem which states that

AC² = AB² + BC² where AC is the hypotenuse and AB and BC are the other two sides

In this question the hypotenuse is AB, so we now have;

AB² = AC² + CB²

AB² 24² + 10²

AB² = 576 + 100

AB² = 676

Add the square root sign to both sides of the equation

√AB² = √676

AB = 26

Therefore the length of the hypotenuse is 26 cm

Answer:

26 cm is the answer

Step-by-step explanation:

i got the question right

What number is ten times greater than 0.3

Answers

Answer: 3

Step-by-step explanation:

The number ten times greater than 0.3 will be 0.3 in ten places

= 0.3 x 10

=3

I hope this helps.

Answer:

The number is 3

Step-by-step explanation:

Step 1:  Convert words into an expression

What number is ten times greater than 0.3

n = 10 * 0.3

Step 2:  Multiply

n = 10 * 0.3

n = 3

Answer:  The number is 3

Factor the expression completely.
20x-16

Answers

Answer:

4(5x-4)

Step-by-step explanation:

4 is the common factor of 20 and 16 so it will stay outside the bracket. The left out is 5, x and 4. this forms the expression above.

Wut is circumference

Answers

The length of the outer edge of a circle

Answer:

Circumference is the distance around the outside of a circle

Step-by-step explanation:

Find the area of a triangle with base b and helght . Round your answer to the nearest hundredth If necessary b = 14.3ml h = 10.7mi

Answers

Answer:

76.505------>76.51 ml^2

Step-by-step explanation:

14.3 x 10.7 = 153.01

153.01/2 = 76.505

round to nearest hundredth

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