What is the sum of the measures of the interior angles of a 12-gon?
1620°
O 1800°
O 1980°
O 2160°

Answer:

P=32m

A=48 m^2

Step-by-step explanation:

if two shorter sides are 4m each and the two longer sides are 12 m

4+4+12+12 to find the total P

Area, time the LENGTH by WIDTH to find the squared meters in the rectangle .

4x12 = AREA

Answer:

[tex] log_{4}( {x}) [/tex]

Step-by-step explanation:

[tex] log_{4}( {x}^{2} ) - log_{4}(x) \\ = log_{4} \bigg( \frac{ {x}^{2} }{x} \bigg )..(by \: quotient \: rule) \\ = log_{4}( {x}) \\ \\ \purple{ \boxed{ \bold{\therefore \: log_{4}( {x}^{2} ) - log_{4}(x) = log_{4}( {x}) }}}[/tex]

Answer:

y = 6

Step-by-step explanation:

-3x + 9y = 18

-3(6) +6y = 18

-18 +6y = 18

Add 18 to each side

-18+18 +6y =18+18

6y = 36

Divide each side by 6

6y/6 = 36/6

y = 6

Answer:

Fiona gets £ 174

Step-by-step explanation:

Ths problem has three unknowns: the amounts each person gets. So let's identify each amount with a letter to write them in mathematical equation form:

Amount Sushil gets is : "x"

Amount Fiona gets is : "y"

Amount Pip gets is : "z"

Now we write three equations based on the information we have:

1) the addition of all these amounts should equal the 580 total:

x + y + z = 580

2) Sushil (x) gets twice as much as Fiona (y):

x = 2 y

3) Fiona (y) gets three times as much as Pip (z):

y = 3 z

So we can write the first equation in terms of "z" only, by using the appropriate substitutions in the intermediate stes:

Replace every instance of "y" with "3 z":

Equation 2 can give then "x" in terms of "z" as well:

x = 2 y = 2 (3 z) = 6 z

Then Eq 1 becomes:

6 z + 3 z + z = 580

10 z = 580

and therefore:

z = £ 58

Now Fiona's amount (y) is "3 times z", therefore:

y = 3 * 58 = £ 174

Q:    Which of the following equations is equivalent to S = pi r squared h?

A:     B  (CC ALGEBRA 2A, ED20)

The equations is equivalent to S = pi r squared h would be; B. h=S/πr²

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

To know the equation equivalent to πr²h, we will make h the subject of the formula from the one given in equation.

S = πr²h

To get h, we needd to divide both sides by the coefficient of h (i.e πr²)

S/πr² = πr²h/πr²

S/πr² = h

h = S/πr²

This equation shows that h = S/πr² is equivalent to S = πr²h

Learn more about equations here;

https://brainly.com/question/25180086

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Answer:

Choice A. The shading in the Venn Diagram shown in the first attachment represents the set [tex](K \cup M) \; \cap \; (K \cup L)[/tex].

Step-by-step explanation:

Let [tex]A[/tex], [tex]B[/tex], and [tex]C[/tex] be sets. By the distributive law of sets, [tex]A \cup (B \cap C)[/tex] and [tex](A \cup B) \cap (A \cup C)[/tex] refer to the same set.

Apply this property to simplify the given expression:

[tex]\begin{aligned}(K \cup M) \; \cap\; (K \cap L) = K\cup (M \cap L)\end{aligned}[/tex]

[tex]M \cap L[/tex] refers to the intersection between the two lower circles. The union of that intersection with set [tex]K[/tex] (the upper circle) would be the shaded region seen in choice A.

The right answer is √74 units.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

42

Step-by-step explanation:

49-7=42

Answer:

The value of a is 101°, b is 79°, c is 83° and d is 97°

Answer:

a) 30

b) 144

c) 4

d) 900

Step-by-step explanation:

a) 6 + 24 = 30

b) 6 * 24 = 144

c) 24 ÷ 6 = 4

d) [tex]30^2=900[/tex]

Answer:

a) 30

b) 144

c) 4

d) 900

Step-by-step explanation:

a) 24+6

b) 6(24)

c) 24/6

d) (24+6)^2

Answer:

[tex]v=-0.098t+c\ln(R)\\c\ln(R)=v+0.098t\\ln(R)=\frac{v+0.098t}{c} \\R=e^{\frac{v+0.098t}{c}}[/tex]

Answer:

bdudbrksowodndiwnsonsuendumdjdndoamslals

The right answer is 7/3

hope it helps

Good luck on your assignment

Answer:

see explanation

Step-by-step explanation:

This polynomial is irreducible, that is cannot be factored.

4x² + 25y² ← is a prime polynomial

Answer:

1, the polynomial itself

Step-by-step explanation:

This is a prime polynomial since the terms have no common factor. The only factors it has are 1 and 4x2+25y2 (the number itself)

Answer:

2720 oranges were sold

Answer:

(1, -3/2)

Step-by-step explanation:

The x coordinate is the same for both endpoints so the x coordinate for the midpoint is 1

The y coordinate for the midpoint is found by adding the two y coordinates and dividing by 2

(2+-5)/2 = -3/2

The midpoint is

(1, -3/2)

Answer:

The answer is D

Step-by-step explanation:

Answer: P ≤ $10

Step-by-step explanation:

You have $18

You want to buy a belt that cost $8, so the money that you have tou buy a pair of jeans is $18 - $8 = $10

This means that we the range of prices P that you can afford is:

P ≤ $10

This means that the price of the jeans can be, at maximum, 10 dollars.

Answer:0.55

Step-by-step explanation:

OK decimal means one number before (.) (point)

for example if question is

1.) 55/10 = ans: 5.5 (here before . (point) 5 is there only one number

2.)55/1000= ans: 0.055(here before .(point) 0 is there only one number

3.)like ur question 55/100= 0.55 ☻

Answer: 0.55

Step-by-step explanation:

Because 55/100 is 55% and 55% in decimal form is .55. Always move the decimal to the right when the percentage is under 100%.

Answer:

hope this helps you

The margin of error would be 1 / √n, where n is the number of students asked.

Margin of error = 1/√501 = 0.0446

Multiply by 100 to change to a percent:

0.446 x 100 = 4.46%

Rounding may be off slighly, so it looks like b would be the correct answer.

Answer:

2184 ways

Step-by-step explanation:

We need to choose exactly one song from each CD, so the number of possible ways to choose a song from a CD is the number of songs in that CD.

The first song is from a CD with 12 songs, so there are 12 possibilities of choosing a song.

The second song is from a CD with 14 songs, so there are 14 possibilities of choosing a song.

The third song is from a CD with 13 songs, so there are 13 possibilities of choosing a song.

Now, to find the number of possible ways to play these songs, we just need to multiply the number of possibilities for each song:

Number of possible ways = 12 * 14 * 13 = 2184 ways

Answer:

Step-by-step explanation:

Remember that the median represents the value at the middle, literally.

So, if 12 is the median, it means is the value at the center of the data set.

Now, according to the problem, there are 10 kids older than 12 and 10 kids younger than 12. That means there are 24 kids who doesn't have 12 years old.

Therefore, there are 25 kids in total.

Answer:

5 p.m.

Step-by-step explanation:

Newton's law of cooling-

[tex]T(t)=t_a+(t_0-t_a)e^{-kt}[/tex]

where,

[tex]t_0[/tex] = the initial temp. = 98.6 F (human body temp.)

k = 0.1947,

T(t) = 66 F,

[tex]t_a[/tex] = 55 F,

Putting the values,

[tex]\Rightarrow 66=55+(98.6-55)e^{-0.1947\cdot t}\\\\\Rightarrow 66=55+(43.6)e^{-0.1947\cdot t}\\\Rightarrow (43.6)e^{-0.1947\cdot t}=11\\\Rightarrow e^{-0.1947\cdot t}=\dfrac{11}{43.6}=0.2523\Rightarrow \ln e^{-0.1947\cdot t}=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times \ln e=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times 1=\ln 0.2523\\\Rightarrow t=\dfrac{\ln 0.2523}{-0.1947}\\\Rightarrow t=7\ h[/tex]

Therefore, the time of death was 7 hours before midnight i.e at 5 pm.

Answer:

6/13

Step-by-step explanation:

There are 13 marbles total in the bag.

The chance of picking a green marble is 6/13. This fraction cannot be simplified.

Answer:

4 hours per book

Step-by-step explanation:

The unit rate per book can be found when the number of books read is 1.

To make 1/6 into 1, you need to multiply by 6, meaning that you have to multiply the time taken by 6 as well.

2/3*6=4 hours per book

Hope this helps!

Answer:

a) 0

b) 4.5

c) 3

d) 6

Step-by-step explanation:

Formula: 3x + 4y = 12

The questions contains the values of x. So here's an example of:

d) x = -4, y = ?

   Using the formula:   3(-4) + 4y = 12

                                     -12 + 4y = 12

                                      4y = 24

                                       y = 6

Do the same for the others!

Profit = amount sold - expenses

Profit = 115,849 - 66,350

Profit = $49,499

Answer:

slope = - 7, y- intercept = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 7x + 2 ← is in slope- intercept form

with slope m = - 7 and y- intercept c = 2

The answer is A.) 21x/^3y

Here is proof

Answer:

The greatest common factor is 5.

15x+10=5(3x+2)