what is the sum of the measures of the interior angles of a 12-gon?

Answer:

25！=1*2*3*4*5*6*...23*24*25

26= 2*13

28=2*14or 4*7

36=2*18or 3*12 or 4*9

56=7*8

All products above are inside 25! So they are all factors of 25!

But 58=2*29 and 29 is not inside 25! so it's not a factor of 25!

Step-by-step explanation:

hope it helped

Answer:

n=25

Step-by-step explanation:

Let n be the greatest possible integer Jo could be thinking of. We know n<100 and n=8k-1=7l-3 for some positive integers k and l. From this, we see that 7l=8k+2=2(4k+1), so $7l$ is a multiple of 14. List some multiples of 14, in decreasing order: 112, 98, 84, 70, .... Since n<100, 112 is too large, but 98 works: [tex]$7k=98\Rightarrow n=98-3=95=8(12)-1$[/tex]. Thus,[tex]$n=\boxed{95}$[/tex].

Hope this helped! :)

Answer:

Step-by-step explanation:

Sides of the prism:

Volume:

Answer:

30 pounds of raspberries and 50 pounds of blueberries

Step-by-step explanation:

Let's use b to represent blueberries and r for raspberries. Each pound of raspberries costs $1, so to find the total cost of raspberries we use 1r, which is just r. For blueberries, we do 3.25b.

r+3.25b=192.5

We also know that we can combine the numbers for 80 total pounds.

r+b=80

We can subtract the two equations we have made to eliminate the r and solve for b.

2.25b=112.5

We divide both sides by 2.25.

b=50

We know that r+b=80, so if b is 50 then r must be 30.

Have a wonderful day! :D

Answer:

50lbs of blueberries = $162.50

30lbs raspberries = $30.00

$192.50 total

Step-by-step explanation:

- 80 pounds totaling at $192.50 -

I found the answer by guessing/estimating between the pound amounts and prices. I eventually got down to 50lbs of blueberries and 30lbs raspberries

3.25 x 40 = $130.00

1 x 40 = $40.00

3.25 x 45 = $146.25

1 x 35 = $35.00

Final Answer:

3.25 x 50 = $162.50

1 x 30 = $30

$162.50 + $30.00 = $192.50

Answer:

twenty 20.............

Answer:

is 45

Step-by-step explanation:

the equation must be changed or else the number will be changed the 32

Answer:

choose the last one.

[tex] \tan(28) = 0.53[/tex]

Answer:

tan 28° = 0.53

So, Option D is correct answer.

Step-by-step explanation:

We need to find the value of tan 28°

We need to find the value of tan 28° , which can be found by simply using calculator.

Put tan 28 in the calculator and we can get our answer.

Putting the value of tan 28 in the calculator, we get

tan 28° = 0.53

So, Option D is correct answer.

Answer:

1.7

Step-by-step explanation:

Divide 170% by 100

9514 1404 393

Answer:

  (-3, 3)

Step-by-step explanation:

The midpoint of a line segment is the average of the end point coordinates:

  ((1, 1) +(-7, 5))/2 = (1 -7, 1 +5)/2 = (-6, 6)/2 = (-3, 3) . . . midpoint coordinates

Answer:

14.25

Step-by-step explanation:

im sorry im bad at explaning

Step-by-step explanation:

[tex]length \: between \: ( - 2, - 1) \: and \: (6,4) \\ = \sqrt{(x _{1} - x _{2} )² + (y _{1} - y _{2})² } \\ = \sqrt{( - 2 - 6)²+ ( - 1 - 4)²} \\ = \sqrt{64 + 25} \\ = \sqrt{100} \\ = 10 \: units \\ radius = 10 \: units \\ diameter = 2 \times radius \\ d = 2 \times 10 \\ d = 20 \: units[/tex]

(a)first term=2

(n)no of term=10

(r)common ratio=8/2=4

sn={a(r^n-1)}÷(r-1)

s1o={2(4^10-1)}÷(4-1)

s10={2(1048576-1)}÷3

s10=2097150÷3

s1o=699050

A n s w e r:

v^2(5-9v^4)

Answer:

25 percent salt solution

Step-by-step explanation:

sorry, i dont know the first space

Answer:

25% salt solution

Step-by-step explanation:

hope this helps!

have a good day :)

Answer:

$8.4 million.

Step-by-step explanation:

9% of 7.1 is .639

2011 = 7.1 + .639 = 7.739

2012 = 7.739 + .639 = 8.378

8.378 rounded to the nearest tenth is 8.4

Answer:

$3.75

Step-by-step explanation:

$1500 / 400 = $3.75

Answer:

slope of line p = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-3}[/tex] = [tex]\frac{1}{3}[/tex] ← slope of line p

Answer:

50

Step-by-step explanation:

60% of 50 is 30

Answer:

X = 75

Step-by-step explanation:

here, DY || FS ,

SO, Angle DFS = Angle JDY

( Corresponding angle pair )

Angle JSF = Angle JYD

( Corresponding angle pair )

Hence, triangle JDY ~ JFS ( By AA CRITERIA )

Now, JY / YS = JD / DF

=》42 / 63 = 50 / X

=》X = 50/42 × 63

=》X = 75

i hope you got it

Answer:

your answer is 3

Step-by-step explanation:

36 divide by 3 = 12 and 12 divide by 2 = 6 and 6 divide by 2 = 3

Step-by-step explanation:

When we have a function in formula form, it is usually a simple matter to evaluate the function. For example, the function \displaystyle f\left(x\right)=5 - 3{x}^{2}f(x)=5−3x

2

can be evaluated by squaring the input value, multiplying by 3, and then subtracting the product from 5.

95% is greater than 0.9 95%>0.9

Answer:

(-3,-5)

Step-by-step explanation:

Answer:

18ft²

Step-by-step explanation:

V volume pyramid = 1/3× base area × height

V = 1/3 × B × h

24 ft³ = 1/3(12ft²)(6ft)

when V =54 ft³ h= 9ft B =?

V=1/3Bh

B=V3/h

B=(54×3)/9

B=6×3

B=18 ft²

Answer:

The answer is below

Step-by-step explanation:

The perimeter of the rectangle is given as:

Perimeter = x + x + y + y + y = 2x + 3y

2x + 3y = 120

2x = 120 - 3y

Dividing through by 2:

x = 60 - 3y/2

The area of the rectangle is given by:

Area (A) = x * y

A = (60 - 3y/2)(y)

A = 60y - 3y² / 2

But the total area = 600 yd², hence

600 = 60y - 3y²/2

multiply through by 2:

1200 = 120y - 3y²

3y² - 120y + 1200 = 0

3y² - 60y - 60y + 1200 = 0

3y(y - 20) - 60(y - 20) = 0

(3y - 60)(y - 20) = 0

3y - 60 = 0, or y - 20 = 0

3y = 60 or y - 20 = 0

y= 20

x = 60 - 3y/2

x = 60 - 3(20)/2

x = 60 - 30

x = 30

Answer:

5 : 9

Step-by-step explanation:

You combine the two values that you have been given (5 and 9) to get the ratio of hot togs to apple juice.

hope this helpsss :)

Answer:

20% decrease

Step-by-step explanation:

First, let's find the net decrease: Peter started at 80kg and his weight is now 64kg, which is a 16kg decrease. Next, we need to find what percentage of 80kg 16kg represents. First, let's find what part of 80 is 16:

16/80 = 1/5

To convert this to a percent, we need to find an equivalent fraction to 1/5 with a denominator of 100. To do this, we can multiply the numerator and denominator of 1/5 by 20, giving us 20/100, or 20%.

Answer:

x=-1

Step-by-step explanation:

4(x-3(-2))=6(x-3(-2)) => 4(x+6)=6(x+6) => 4x+24=6x+26 => -2=2x => x=-1