Linear or nonlinear

Answer:

7

Step-by-step explanation:

Let a and b be the sides of the equilateral triangle and the regular hexagon respectively as shown in figures (1) and (2).

The area of the equilateral having side a is

[tex]A_T= \frac {\sqrt3}{2}a^2\cdots(i)[/tex]

Now, join all the 6 corner points of the regular hexagon to the center of the hexagon as shown in figure (3).

As there are 6 equal sides, so angle subtended by each side at the center is 360/6=60 degrees.

Considering the triangle POR:

[tex]\angle POR= 60[/tex] degree [angle at center]

As sides PO=RO, so [tex]\angle OPR = \angle ORP = 60[/tex] degree.

Hence, triangle POR is an equilateral triangle.

Similarly, all the remaining 5 triangles are equilateral triangles.

So, the area of hexagon = 6 x Area of triangle POR

As the length of sides of the triangle POR is b,

so the area of the triangle POR [tex]= \frac {\sqrt3}{2}b^2[/tex].

Hence, the area of the regular hexagon,

[tex]A_H = 6 \times \frac {\sqrt3}{2}b^2\cdots(ii)[/tex]

As the equilateral triangle and a regular hexagon have the same area, so from the equations (i)and (ii), we have

[tex]A_T=A_H\\\\\frac {\sqrt3}{2}a^2=6 \times \frac {\sqrt3}{2}b^2\\\\\Rightarrow a^2=6b^2\\\\\Rightarrow \frac {b^2}{a^2}=\frac 1 6\\\\\Rightarrow \frac {b}{a}=\frac {1}{\sqrt 6}\cdots(iii)[/tex]

Given that the ratio of the side length of the regular hexagon to the side length of the equilateral triangle, b/a= m/√n.

On comparing with the equation (iii), we have

m=1 and n=6

Hence, m+n=1+6=7.

Answer:

1. -7.5

2. $1

3. 40

Step-by-step explanation:

For number 1, it can be solved by using the PEMDAS method, or see explanation below:

6x - 4x - 36 = 6 - 2x

2x - 36= -2x + 6

4x + 36 = 6

4x = -30

x = -15/2 or -7.5

For number 2, substitute 3 into both equations:

f(x) =1.50(3) + 2.00

and

f(x) = 2.00(3) + 1.50

This would get $6.50 and $7.50, which, if subtracted, gets $1.

For number 3, do something similar to the previous problem. Substitute 3 for x. It would be 5(2^3), or 40.

Hope this helps!

Answer:

The slope is 3. graph it every time the line hits an exact point

Step-by-step explanation:

Answer:

The answer is Thousandths

Answer:

Thousandths

Hope this helps!

Can you pls give brainly

Answer: 6.8622 ; 8.1778

Step-by-step explanation:

Given the data:

2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9

6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9

7 10 7 9 9 9 9

Assume a confidence interval of 95%

Using calculator :

The mean of the distribution (m) = 7.52

Standard deviation (s) = 2.314

Sample size),

Obtaining the t score ;

Degree of freedom (df) = (n-1) = 50 - 1 = 49

t(1-α/2), 49 = t(0.025, 49) = 2.01 ( t distribution table)

Margin of Error :

2.01 * s/√n = 2.01 * 2.314/7.0710678

Margin of Error (E) = 0.6578

Confidence interval:

(Mean - E) ≤μ≤ (mean + E)

(7.52 - 0.6578) ≤μ≤ (7.52 + 0.6578)

6.8622 ≤μ≤ 8.1778

Answer:

0.411^5 times 0.599

Step-by-step explanation:

0.599 chance of landing on heads.

0.411 chance of not landing on heads.

0.411 times 0.411 times 0.411 times 0.411 times 0.411 (for the 5 flips that do not land on heads) times 0.599 (for the time that it does land on heads).

Answer:

13

Step-by-step explanation:

156/12

Answer:

yes

Step-by-step explanation:

12p<=56

12*3<=56

36<=56

Correct.

Hope this helps :D

Answer:

Is it A

Step-by-step explanation:

Answer:

The answer in 180000 * 3 ÷ 100 = 5400$

Answer:

b

Step-by-step explanation:

8*3

=24

4*5

=20

20+24

=44

Answer:

Step-by-step explanation:

Answer:

24x - 12

Step-by-step explanation:

6x + 4 + 10x - 9 + 8x - 7

6x + 10x + 8x + 4 - 9 - 7

24x - 12

Answer:

8

Step-by-step explanation:

Identifying the Pattern:

We are told that 'HOPE' is called 3

we can see that there are 4 characters in the word HOPE

So, we can see that the number is one less than the number of characters in the given word

Let's see if the observation we made still holds for the other Words:

We are also told that 'GOVERNMENT' is called 9

the number of characters = 10

Here, we once again notice that the code number is one less than the number of characters in our word

We are Given that 'PEACEFUL' is called 7

the number of characters = 8

Once again, our observation holds true

Hence, our observation holds true for all the words

Therefore, we can say with certainty that the pattern is:

code number = (number of characters of the word) - 1

Code number for 'HAPPINESS':

from the above, we know that:

code number = (number of characters of the word) - 1

we can see that 'HAPPINESS' has 9 words, plugging that value:

code number = 9 - 1

code number for 'HAPPINESS' = 8

Answer:

A

Step-by-step explanation:

PLEASE MARK BRAINLIEST IT WILL HELP SM

Answer:

its hard to see but I think all of them except the first and the last ones r

Step-by-step explanation:

an x can't repeat

Answer: +3, -3

Step-by-step explanation:

ok so all you need to do is plug in that first equation into the second one.

x(5x) = 45

5x^2 = 45

x^2 = 9

x     = +3, -3

Answer:

This is a hw site pls dont post this, if you dont need help. I dont want your account to be deleted. :) Hope u have a great day tho, but in the future dont post this.

Step-by-step explanation:

Answer:

can I see the opinions and I will come

Step-by-step explanation:

back and edit my question and answer it for you

Answer:

0, 1, 2, infinite

Step-by-step explanation:

Answer:  18

Step-by-step explanatio    18

Answer:

C.

Step-by-step explanation:

-2 is in front of x so thats gonna be the slope

and +3 is the y-intercept

Answer:

do 9.60 divided by 12

Step-by-step explanation:

Answer:

$0.80

Step-by-step explanation:

All that is needed for finding this answer is 9.60 ÷ 12 which gets us 0.80.

Answer:

Natasha should have multiplied 100 by 2.

Step-by-step explanation:

part/whole = 150/100

(150 * 2)/(100 * 2) = 300/? is correct.

Answer: Natasha should have multiplied 100 by 2.

ANSWER: 1 is a subset of 3,5,7

Answer:

X=(0,3) (3,0) Y=(0,5)(5,0) Z=(7,0) (0,7)

Step-by-step explanation:

suppose ,3=x ,5=y and 7=z

0 is the common number

Answer:

Step-by-step explanation:

Step one:

The initial amount that Tony has= $1000

final amount =$760

amount spent= 1000-760= $240

time taken is 4 months

Step two:

Required:

the rate of spending

we know that rate= quantity/time

rate= 240/4

rate= $60 per month

Hence Tony's amount is changing at $60 monthly

Answer: -60

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

Answer:

D. This is a dependent event because Pedro ate the jellybeans, and they cannot be replaced.

Step-by-step explanation:

Pretty much, dependent means it can’t be replaced and independent means it can be replaced.

Answer:14

Step-by-step explanation: absolute value will always be a positive number. 10 away from 0 is 10. -4 from 0 is still 4. Add them together and you have 14

Answer:

150

Step-by-step explanation:

Answer:

D.)150

Step-by-step explanation:

Hope I helped

Answer: C) Closed circle at -5; shading to the left

The given inequality [tex]3x \le -15[/tex] solves to [tex]x \le -5[/tex] when we divide both sides by 3. The inequality sign does not change because we didn't divide both sides by a negative number.

The graph has a closed circle at -5 to include this value as part of the solution set. Shading is to the left to indicate values smaller than -5. Overall, the graph says "x can be -5 or smaller". If you wanted to exclude -5, you would say [tex]x < -5[/tex] and use an open circle; but that's not the case here.

Answer:

C) Closed circle at -5; shading to the left

Step-by-step explanation: