A regular hexagon has an area of 750.8cm². The side length is 17cm. Find the apothem.

A. 7.4cm
B. 14.7cm
C. 21.5cm
D. 88.3cm

Step-by-step explanation:

This is a classic puzzle!

The answer is that the probability that the last person ends in up in his proper seat is exactly

1

2

The reasoning goes as follows:

First observe that the fate of the last person is determined the moment either the first or the last seat is selected! This is because the last person will either get the first seat or the last seat. Any other seat will necessarily be taken by the time the last guy gets to 'choose'.

Since at each choice step, the first or last is equally probable to be taken, the last person will get either the first or last with equal probability:

1

2

.

Sorry, no clue about a physical system

Answer:

x=11

Step-by-stepx+11 explanation:

this was an accident ignore this

Answer:

see below

Step-by-step explanation:

Portion:

  1/8 = 0.125

Each of the family will get:

   44 pounds * 0.125 = 5.5 pounds of potatoes

**Five and a half pounds of potatoes.

Answer:

2,4,8,16

Step-by-step explanation:

2*8=16

4*4=16

8*2=16

16*1=16

those are the numbers you have that can give u 16 but with 3 and 32 no

Hope this helped!

Answer:

2,4,8,16

Step-by-step explanation:

That’s your answer

Answer:

The unit rate per week is $4.

Step-by-step explanation:

Mahua has money automatically deposited into a savings account each week. After 5 weeks, she has $20. After 7 weeks, she has $28. The unit rate is measured in dollars per week. What is the constant of proportionality?​

The answer is 4

Answer:

The answer is d

Step-by-step explanation:

Answer: d

Step-by-step explanation:

Rewrite

8

as

2

3

.

x

3

−

2

3

=

0

Since both terms are perfect cubes, factor using the difference of cubes formula,

a

3

−

b

3

=

(

a

−

b

)

(

a

2

+

a

b

+

b

2

)

where

a

=

x

and

b

=

2

.

(

x

−

2

)

(

x

2

+

x

⋅

2

+

2

2

)

=

0

Simplify.

Tap for more steps...

(

x

−

2

)

(

x

2

+

2

x

+

4

)

=

0

If any individual factor on the left side of the equation is equal to

0

, the entire expression will be equal to

0

.

x

−

2

=

0

x

2

+

2

x

+

4

=

0

Set the first factor equal to

0

and solve.

Tap for more steps...

x

=

2

Set the next factor equal to

0

and solve.

Tap for more steps...

x

=

−

1

+

i

√

3

,

−

1

−

i

√

3

The final solution is all the values that make

(

x

−

2

)

(

x

2

+

2

x

+

4

)

=

0

true.

x

=

2

,

−

1

+

i

√

3

,

−

1

−

i

√

3Rewrite

8

as

2

3

.

x

3

−

2

3

=

0

Since both terms are perfect cubes, factor using the difference of cubes formula,

a

3

−

b

3

=

(

a

−

b

)

(

a

2

+

a

b

+

b

2

)

where

a

=

x

and

b

=

2

.

(

x

−

2

)

(

x

2

+

x

⋅

2

+

2

2

)

=

0

Simplify.

Tap for more steps...

(

x

−

2

)

(

x

2

+

2

x

+

4

)

=

0

If any individual factor on the left side of the equation is equal to

0

, the entire expression will be equal to

0

.

x

−

2

=

0

x

2

+

2

x

+

4

=

0

Set the first factor equal to

0

and solve.

Tap for more steps...

x

=

2

Set the next factor equal to

0

and solve.

Tap for more steps...

x

=

−

1

+

i

√

3

,

−

1

−

i

√

3

The final solution is all the values that make

(

x

−

2

)

(

x

2

+

2

x

+

4

)

=

0

true.

x

=

2

,

−

1

+

i

√

3

,

−

1

−

i

√

3

Answer:

7

Step-by-step explanation:

7×7=49

.............

Answer:

The answer is 7.

7² is equals to 49.

Answer:

a) 500

b) 9.6 years

Step-by-step explanation:

Population of Ilamas

a) P = 500 e ^0.035t

Find P when t = 0

Solving for P

P = 500 e ^0.035 × 0

P = 500 × e ⁰

P = 500 × 1

P = 500

The population of the Ilamas when t = 0 is 500

b ) Find t when P = 700

P = 500 e ^0.035t

700 = 500 e ^0.035t

Divide both sides by 500

700/500 = 500 e ^0.035t/500

7/5 = e ^0.035t

1.4 = e ^0.035t

Take In of both sides

In 1.4 = In (e ^0.035t)

In 1.4 = 0.035t

t = In 1.4/0.035

t = 0.3364722366/0.035

t = 9.6134924749 years

t = Approximately to the nearest tenth of a year = 9.6 years

Answer:

16cm^2

Step-by-step explanation:

well if you multiply 4 x 8 to find the area it would be 32 but it is a triangle so divide 32 by 2 to get 16

Answer:

16 cm²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

Base b = 8 cm

Height h = 4 cm

Step 2: Find A

Answer:

too blurry, I cant see the numbers

Answer:

X=5

Step-by-step explanation: I have attached my full work, but essentially, it is important to understand that all angles in a triangle equal 180 degrees. Also, we know that angles that form a line equal 180 degrees, so we can solve for the unknown by setting all of the angles in the triangle to 180 degrees to get an algebraic equation.

Answer:

point d that is it because I knwo

Answer:

Point D

Step-by-step explanation:

Point D is on both lines because that is where the lines intersect.

Answer:

12

Step-by-step explanation:

12/4=3

3^2=9

3+9=12

Answer:

3053.63 yd^3

Step-by-step explanation:

There is a formula to this, the formula goes,V=4/3πr^3, you subsitute, 9 in for r, cube "r", and do 9*3.14 or whatever you use for PI, and then you times that by 4/3.

3x-2y=-16

slope intercept form is y=mx+b

move 3x to the other side

sign changes from +3x to -3x

3x-3x-2y=-3x-16

-2y=-3x-16

divide both sides by -2 to get y by itself

-2y/-2=-3x/-2-16/-2

y=3x/2+8

answer:

y=3x/2+8

Answer:

[tex]\huge\boxed{\sf n = 5}[/tex]

Step-by-step explanation:

[tex]\sf \frac{4}{n} = \frac{4}{5} \\\\Cross \ Multiplying \\\\n * 4 = 4*5\\\\Divide \ both \ sides \ by \ 4 \\\\\frac{n*4}{4} = \frac{4*5}{4} \\\\n = 5 \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

n = 5

Step-by-step explanation:

[tex] \frac{4}{n} = \frac{4}{5} [/tex]

Dividing 4 on both the sides gives ,

[tex] = > \frac{4}{n} \div 4 = \frac{4}{5} \div 4[/tex]

[tex] = > \frac{4}{n} \times \frac{1}{4} = \frac{4}{5} \times \frac{1}{4} [/tex]

Cancelling 4 from numerator and denominator from both the sides ,

[tex] = > \frac{1}{n} = \frac{1}{5} [/tex]

Cross-multiplying the denominators of both sides,

[tex] = > n = 5[/tex]

Answer:

[tex]a_{1}[/tex] = 12

[tex]a_{2}[/tex] = 20

[tex]a_{3}[/tex] = 28

Step-by-step explanation:

In order to find the values of the first three terms of this sequence we would have to substitute in the "n" values for the first three terms that we mention earlier so. So in order to find the value of the first term we will substitute n with 1 (since the first term will be written as [tex]a_{1}[/tex], and as you see 1 will be equal to n, use the same logic for the other three terms) , in order to find the value of the second term the n would be substituted with 2, and for the third value we will substitute n with 3.

[tex]a_{1}[/tex] = 8 x 1 + 4

[tex]a_{1}[/tex] = 8 + 4

[tex]a_{1}[/tex] = 12

Then.......

[tex]a_{2}[/tex] = 8 x 2 + 4

[tex]a_{2}[/tex] = 16 + 4

[tex]a_{3}[/tex] = 20

And finally .......

[tex]a_{3}[/tex] = 8 x 3 + 4

[tex]a_{3}[/tex] = 24 + 4

[tex]a_{3}[/tex] = 28

Answer:

Boiling B would probaly Have

a huge impact on the answer

Step-by-step explanation:

Answer:

d > 0

Step-by-step explanation;

Answer:

what do you need help with

Answer:

A) 22.63

Step-by-step explanation:

Well as we all know to find the area of a  parallelogram u have to multiply Base by Height = Area ; Base×Height=Area

As so:    7.3×3.1=22.63

Final answer 22.63

Answer:

B

Step-by-step explanation:

First we find the vertex, which is the bottom of the "V" shape visually, you see it is -3, 4

That means answer is A or B. The x intercepts are where the line crosses the x axis, with is -5,0 and -1,0, so it has to be B!

click the heart button to give thanks :) merry xmas

Answer:

6 cups to make 126 cookies

Step-by-step explanation:

dozen = 12 cookies

7 x 12= 84

126 - 84 = 42

so you will have to make 42 cookies more and that will be 2 more cups of flour

it total is 6 cups to make 126

Answer:

a. 1.2

Step-by-step explanation:

From the given question, we will notice that the dependent variable, as well as the independent variable, are log-transformed in the model. Thus, a 1% increase in S will likely result in 1.2% increase in Y.

Answer:

The hypothesis test should we conduct to answer this research question is:

a. Chi square test of independence

Step-by-step explanation:

The Chi-Square Test of Independence or Association tests the two variables of "if players choose between these three options randomly or if certain options are favored above others."  It determines whether there is an association between the two categorical variables, ascertaining whether the variables are independent or related.  The chi-squared statistic is computed by taking the difference between a pair of observed values and expected values, and squaring the difference,s and then dividing the squared differences by the expected value.  After repeating this process for all the elements involved, the sum is obtained.

Answer:

15

Step-by-step explanation:

Answer:

I believe the answer is 6.

Step-by-step explanation:

Answer:

4/8 because 3/4 - 2 × (1/8) = 3/4 - 2/8

Step-by-step explanation:

Answer:

? 7 miles an hour i guess

Answer:

[tex]F = 27N[/tex]

Step-by-step explanation:

Given

Force directly proportional to acceleration

Force = 21N when Acceleraion = 7m/s^2

Required

Determine the force when acceleration = 9m/s^2

The variation between force (F) and acceleration (A) implies that:

[tex]F\ \alpha\ \ A[/tex]

Convert to an equation

[tex]F = mA[/tex]

Where m is constant.

When F = 21 and A = 7, we have:

[tex]21 = m * 7[/tex]

Solve for m

[tex]m = \frac{21}{7}[/tex]

[tex]m = 3[/tex]

When A = 9

Substitute 9 for A and 3 for m in [tex]F = mA[/tex]

[tex]F = 3 * 9[/tex]

[tex]F = 27N[/tex]