Does a regular pentagon tessellate? if yes, why and if no, why?

The perimeter of a triangle is 60 units if the right triangle has the vertices (-7, 9), (3, 9), (-7, -15).

The perimeter calculation has various practical uses. A calculated perimeter is the length of fencing required to encircle a yard or garden. The circumference (perimeter) of a wheel/circle specifies how far it will roll in one revolution.

If the lengths of the triangle's sides are a, b, and c, the perimeter is the sum of their lengths:

P = a + b + c

The distance formula can be used to calculate any of the side lengths. However, because two of the sides are parallel to the axes, their lengths may be simply calculated by subtracting coordinates.

If the points are designated A, B, and C in that sequence, the two right-angle sides are as follows:

c = AB

= 3 -(-7)

= 10

b = AC

= 9 -(-15)

= 24

The Pythagorean theorem states that the third side of the relation can be found:

a² = b² +c²

a² = 10² +24² = 676

a=√676

a= 26

Now we can plug these numbers into the perimeter formula:

P = a + b + c = 26 + 24 + 10

P = 60

As a result, the perimeter of a triangle is 60 units.

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Answer:

1 - p

Step-by-step explanation:

So the answer is:

Answer:

1-p

Step-by-step explanation:

I took the test and this was the answer.

Answer: There are 1000 different passwords.

Step-by-step explanation:

Given: A password contains three digits.

Number of digits from 0 to 9  = 10

Using fundamental principle of counting,

The number of different passwords = (Number of choices for digits) x (Number of choices for digits)  x (Number of choices for digits)

= (10) x (10)x (10)

=1000

Hence, there are 1000 different passwords.

Answer:

not 100% but i think x may be 23.5

Step-by-step explanation:

The values of (x+8) and (2x-5) are 35 and 49 respectively.

A triangle is defined as a two-dimensional shape with three sides, three interior angles, and three vertices.

Given a triangle, ABC

We have,

(x+8)/10 = (2x-5)/14

7x+56 = 10x-25

3x = 81

x = 27

X+8 = 35

2x-5 = 49

Hence, The values of (x+8) and (2x-5) are 35 and 49 respectively.

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Answer:

45

Step-by-step explanation:

m<1 and m<2 are complementary angles because the sum of two angles = 90° and since m<1 = m<2

90 ÷ 2 = 45

Answer:

y = 10x, which is the relationship between two 7 in the number 3772

Step-by-step explanation:

In the given number 3772

3 is at thousandth position its value is 3000 numerically

7 is at the hundredth position its value is 700 numerically

next 7 is at tens position its value is 70 numerically

and 2 is at unit position its value is 2 numerically

thus, 3772 can also be written as sum  of number based on its position

3000

+700

+  70

+    2

___-

= 3772

Thus,

since Third 7 from left  has value of 70

and Second 7  from left  has value of 700

we know 70*10 = 700

Thus, 70 is 10 times to that 700

Thus, we can say that

value of Second 7  from left = 10*value of Third 7  from left

Thus,

let value of Second 7  from left be y

value of Third 7  from left  be x

then

y = 10x, which is the relationship between two 7 in the number 3772

Answer:

Step-by-step explanation:

'3s' represents 'three times Sydney's age.'

Answer:

three times Sydney's age

Step-by-step explanation:

i took a test on this

Answer:

w = 15

Step-by-step explanation:

5      

        x   ___w___  =      3 x  5

                   5

w = 15

Hi there! Hopefully this helps!

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[tex]\frac{w}{5} = 3[/tex]

Multiply both sides by 5.

[tex]w = 3 \times 5[/tex]

Answer:

Heptagon: D

Spetagon: D

Nonagon: B

Answer:

we know,

1 megaton=1000kg

100 megaton=100000

now,

total weight=100000+234

=100234.

Answer:

Step-by-step explanation:

12.4% 153000 = 12.4/ 100  * 153000 = 0.124 * 153000 = 1897

84.1% 153000 = 84.1/100 * 153000 = 0.841 * 153000 = 128673

The difference (and the answer) is  128673 - 1897 = 126776

Note: 3.5% are not accounted for. They probably just sat down and wrote.

Answer:

probability that the sample mean will be between 166.75 and $170.50 = 0.42816

Step-by-step explanation:

We are given;

Mean; μ = $178

Standard deviation; σ = $50

Now, we want to find the probability that the sample mean will be between $166.75 and $170.50.

Thus, we'll use the z-score formula;

z = (x - μ)/σ

So;

Lower limit of z is;

z = (166.75 - 178)/50

z = -0.225

Upper limit of z is;

z = (170.50 - 178)/50

z = -0.15

From the z-distribution table attached, the area between -0.225 and -0.15 is;

0.44038 - 0.01222 = 0.42816

Answer:

parameter

Step-by-step explanation:

Answer:

Explained below.

Step-by-step explanation:

(10)

The data set is:

S = {124, 94, 129, 109, 114}

The mean and standard deviation are:

[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{5}\times [124+94+...+114]=114\\\\s=\sqrt{\frac{1}{n-1}\sum ( x-\bar x)^{2}}[/tex]

  [tex]=\sqrt{\frac{1}{5-1}\times [(124-114)^{2}+(94-114)^{2}+...+(114-114)^{2}]}\\=\sqrt{\frac{750}{4}}\\=13.6931\\\approx 13.69[/tex]

The correct option is B.

(11)

According to the Empirical 95% of the data for a Normal distribution are within 2 standard deviations of the mean.

So, the adult male's height is in the same range as about 95% of the other adult males whose heights were measured.

The correct option is B.

(12)

Let the score be X.

Given:

μ = 100

σ = 26

[tex]X=\mu-2\sigma[/tex]

    [tex]=100-(2\times 26)\\=100-52\\=48[/tex]

The correct option is B.

(13)

Let X be the prices of a certain model of new homes.

Given: [tex]X\sim N(150000, 2300^{2})[/tex]

Compute the percentage of buyers who paid between $147,700 and $152,300 as follows:

[tex]P(147700<X<152300)=P(\frac{147700-150000}{2300}<\frac{X-\mu}{\sigma}<\frac{152300-150000}{2300})[/tex]

                                         [tex]=P(-1<Z<1)\\=0.68\\[/tex]                                        

According to the 68-95-99.7, 68% of the data for a Normal distribution are within 1 standard deviations of the mean.

The correct option is D.

(14)

Compute the percentage of buyers who paid more than $154,800 as follows:

[tex]P(X>154800)=P(\frac{X-\mu}{\sigma}>\frac{154800-150000}{2400})[/tex]

                                         [tex]=P(Z>2)\\=0.975\\[/tex]

According to the 68-95-99.7, 95% of the data for a Normal distribution are within 2 standard deviations of the mean. Then the percentage of data above 2 standard deviations of the mean will be 97.5% and below 2 standard deviations of the mean will be 2.5%.

The correct option is D.

(15)

The z-score is given as follows:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Answer:

25) -76

26) -23

27) 21

28) 8

Step-by-step explanation:

25) (-32)-44=-32-44=-76

26) (-12)+(-11)=-12-11=-23

27) 2+15+4=17+4=21

28) 16+(-13)+5=16-13+5=3+5=8

Step-by-step explanation:

Hope it helps u mate

plz mark it as brainlist

Answer:

16/9

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Exponents

(-3)² = 9

(-9/4)² = 81/16

9/81/16

Step 2: KCF (Keep Change Flip)

9(16/81)

144/81

Step 3: Simplify

144/9 = 16

81/9 = 9

16/9

Answer:

the answer is A.

Step-by-step explanation:

for every time you move over one in the x axis you move down 5 on the y axis

Answer:

£11564.54

Step-by-step explanation:

100 + 3.3 = 103.3%

103.3% = 1..013

£11125 x 1.013^3 = £11564.54

I hope this helped you!

Answer:

671/1296

The probability of rolling at least one six is therefore 1 − 625/1296 = 671/1296 ≈ . 517.

Step-by-step explanation:

Answer:

671/1296

Step-by-step explanation:

Answer:

81 / 1024

Step-by-step explanation:

First, let's find the total number of ways that Nancy can choose random choices for the questions. This would be 4 * 4 * 4 * 4 * 4 = 4⁵ = 1024 because there are 4 choices and 5 questions. In order for first question she gets right to be the 5th question, she has to get the first 4 questions wrong. Therefore, since there are 4 choices for each question and only 1 of them is right, she has 4 - 1 = 3 options for the first 4 questions and only 1 option for the 5th one, so the total number of "successful" ways Nancy can do this would be 3 * 3 * 3 * 3 * 1 = 81. Therefore, the probability is 81 / 1024.

Answer:

No, they are not perpendicular

Step-by-step explanation:

Perpendicular lines will have opposite reciprocal slopes, meaning that the slopes will have opposite signs and be the reciprocals of each other.

We can see that the slopes of the lines are not opposite reciprocals.

4 and 1/4 are not opposite reciprocals because they do not have opposite signs.

Answer:

[tex]\frac{-8 +2\sqrt{3} }{3}[/tex]

Step-by-step explanation:

When working with surds we need to take note of the roots present there.

To expand this equation we can do it the following way noting that √3 X √3 = 3

Expanding (1-√3)(⅓+√3)

1 X 1/3 = 1/3

1 X √3 = √3

-√3 X 1/3 =-√3/3

√3 X √3 = 3

hence, expanding the equation, we have

1/3 + √3 -√3/3 + 3

We can simply group the like terms and add them up.

[1/3 +3] +[√3-√3/3]

10/3 + [tex]\frac{2\sqrt{3} }{3}[/tex]

= [tex]\frac{-8 +2\sqrt{3} }{3}[/tex]

Complete Question

The  complete question is shown on the first uploaded image  

Answer:

The  95% confidence interval is  [tex]-0.00870 <p_1 -p_2 < -0.007297[/tex]

Step-by-step explanation:

From the question we are told that

     The first sample  size  is  [tex]n_1 = 1068000[/tex]

     The first proportion  [tex]\r p_1 = 0.084[/tex]

     The second  sample size is  [tex]n_2 = 1476000[/tex]

     The  second  proportion is  [tex]\r p_2 = 0.092[/tex]

Given that the confidence level is  95%  then the level of significance is mathematically represented as

      [tex]\alpha = (100 - 95)\%[/tex]

     [tex]\alpha = 0.05[/tex]

From the normal distribution table  we obtain the critical value of  [tex]\frac{ \alpha }{2}[/tex]  the value is  

      [tex]Z_{\frac{\alpha }{2} } =z_c= 1.96[/tex]

Now using the formula from the question to construct the 95% confidence interval we have  

  [tex](\r p_1 - \r p_2 )- z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2} } <p_1 -p_2 < (\r p_1 - \r p_2 )+ z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2} }[/tex]

Here [tex]\r q_1 = 1 - \r p_1[/tex]

  =>   [tex]\r q_1 = 1 - 0.084[/tex]

 =>    [tex]\r q = 0.916[/tex]

and  

   [tex]\r q_2 = 1 - \r p_2[/tex]

 =>   [tex]\r q_2 = 1 - 0.092[/tex]

=>   [tex]\r q_2 = 0.908[/tex]

So  

 [tex](0.084 - 0.092 )- (1.96)* \sqrt{ \frac{0.092* 0.916 }{1068000} + \frac{0.084* 0.908 }{1476000} } <p_1 -p_2 < (0.084 - 0.092 )+ (1.96)* \sqrt{ \frac{0.084* 0.916 }{1068000} + \frac{0.092* 0.908 }{1476000} }[/tex]

  [tex]-0.00870 <p_1 -p_2 < -0.007297[/tex]

Answer:

The answer is

4.1 units

Step-by-step explanation:

The distance between two points can be found using the formula

where

( x1 , y1) and ( x2 , y2) are the points

From the question

The points are (6, -1) and (5, 3)

The distance between the points is

= 4.123105

We have the final answer as

Hope this helps you

Answer:

first option is right

Step-by-step explanation:

Answer:

Attachment 1 : Option A,

Attachment 2 : Option D,

Attachment 3 : Option B,

Attachment 4 : Instantaneous rate of change will be 24

Step-by-step explanation:

"Remember that we can solve such questions by finding the derivative first"

1 : Let's consider this approach a bit differently. If we were to graph this function, we would see that the point (-2,26) would lie on the curve having a negative slope.

The rate of change would thus be negative, eliminating choices b and d. And, the slope of this function would be much greater than 4 due to the coefficient of " 5 " in f(x) = 5x² + 6. Hence our answer will be option a.

2 : f'(5) = - 2 * 5 + 4,

f'(5) = - 10 + 4 = - 6

Your solution is option d.

3 : f'(2) = 12 / 2 + 1 / - 3,

f'(2) = 12 / 3 / - 3 = 4 / - 3,

f'(2) = - 4 / 3

Your solution is option b.

4 : Here again we can apply the power rule, where using constant multiple rule and derivative of a constant, you can quickly find the derivative of  g .

g'(t) = 3(2x¹) + 0 = 6t,

And now we can evaluate the derivative at that value of  t.

g'(4) = 6(4) = 24 - hence the instantaneous rate of change at t = 4, will be 24

Answer:

x = 30/7 , y = 46/7 , z = 48/7

Step-by-step explanation:

Solve the following system:

{2 x + 3 y - z = 5 x | (equation 1)

2 z - 3 y = -6 | (equation 2)

3 x + y - 4 z = -8 | (equation 3)

Express the system in standard form:

{-(3 x) + 3 y - z = 0 | (equation 1)

0 x - 3 y + 2 z = -6 | (equation 2)

3 x + y - 4 z = -8 | (equation 3)

Add equation 1 to equation 3:

{-(3 x) + 3 y - z = 0 | (equation 1)

0 x - 3 y + 2 z = -6 | (equation 2)

0 x+4 y - 5 z = -8 | (equation 3)

Swap equation 2 with equation 3:

{-(3 x) + 3 y - z = 0 | (equation 1)

0 x+4 y - 5 z = -8 | (equation 2)

0 x - 3 y + 2 z = -6 | (equation 3)

Add 3/4 × (equation 2) to equation 3:

{-(3 x) + 3 y - z = 0 | (equation 1)

0 x+4 y - 5 z = -8 | (equation 2)

0 x+0 y - (7 z)/4 = -12 | (equation 3)

Multiply equation 3 by -4:

{-(3 x) + 3 y - z = 0 | (equation 1)

0 x+4 y - 5 z = -8 | (equation 2)

0 x+0 y+7 z = 48 | (equation 3)

Divide equation 3 by 7:

{-(3 x) + 3 y - z = 0 | (equation 1)

0 x+4 y - 5 z = -8 | (equation 2)

0 x+0 y+z = 48/7 | (equation 3)

Add 5 × (equation 3) to equation 2:

{-(3 x) + 3 y - z = 0 | (equation 1)

0 x+4 y+0 z = 184/7 | (equation 2)

0 x+0 y+z = 48/7 | (equation 3)

Divide equation 2 by 4:

{-(3 x) + 3 y - z = 0 | (equation 1)

0 x+y+0 z = 46/7 | (equation 2)

0 x+0 y+z = 48/7 | (equation 3)

Subtract 3 × (equation 2) from equation 1:

{-(3 x) + 0 y - z = -138/7 | (equation 1)

0 x+y+0 z = 46/7 | (equation 2)

0 x+0 y+z = 48/7 | (equation 3)

Add equation 3 to equation 1:

{-(3 x)+0 y+0 z = -90/7 | (equation 1)

0 x+y+0 z = 46/7 | (equation 2)

0 x+0 y+z = 48/7 | (equation 3)

Divide equation 1 by -3:

{x+0 y+0 z = 30/7 | (equation 1)

0 x+y+0 z = 46/7 | (equation 2)

0 x+0 y+z = 48/7 | (equation 3)

Collect results:

Answer: {x = 30/7 , y = 46/7 , z = 48/7

Answer:

g(x)= (x +1)^2 -2

Step-by-step explanation: