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The reasonable estimate for the length of side DE is 3 units

Find the diagram of the question attached. The given triangle ABC and BDE are similar triangles.

Using the similarity theorem of a triangle, this is expressed as:

AC = DE

Using the pythagoras theorem to get the length of AC:

AB^2 = AC^2 + BC^2

5^2 + AC^2 + 4^2

AC^2 = 25 - 16

AC^2 = 9

AC= 3

Since AC = DE, hence the reasonable estimate for the length of side DE is 3 units

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Answer:

5/3

Step-by-step explanation:

Answer:

the 3rd one

Step-by-step explanation:

Answer: 3rd one

Step-by-step explanation:

Answer:

Apothem:

radius is the same length as the base/length of each side of the hexagon.

r = 8

use pythagorean theorem to calculate the apothem

\(4^2+a^2=8^2\\\\16+a^2=64\\\\a^2=48\\\\a= 6.928\)

≈ 6.9

Area

\(A = \frac{3\sqrt{3} }{2} *a^2\\\\=\frac{3\sqrt{3} }{2}(6.928)^2\\\\=124.7\)

The original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

To show that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves, we need to take the derivative of the equation and set it equal to -1/b^2, the slope of the orthogonal line.

First, we take the derivative of the equation with respect to x:

2x/a^2 = -2y/b^2 * dy/dx

Simplifying, we get:

dy/dx = -b^2*x/a^2*y

Now, we set this equal to -1/b^2:

-b^2*x/a^2*y = -1/b^2

Cross-multiplying and simplifying, we get:

x/a^2*y = 1/b^2

Finally, we can rearrange this equation to get:

y = b^2*x/a^2

This equation represents the orthogonal family of curves to the original family of conics. Since the original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

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Answer:

i think it is 49:9

Step-by-step explanation:

because number going in 49:9 by which multiple it is 7x7 is 49 3x3 is 9 so the answer is 49:9

Answer:

28:12

Step-by-step explanation:

Multiply both 7 and 3 by 4 and you get the ratio 28:12.

The correct option regarding whether the triangles are similar is given by:

Inaccurate. The triangles are not similar because angle M is not congruent to angle H, and angle N is not congruent to angle G.

Similar triangles are triangles that have congruent angles, that is, angles with the same measure.

Considering that the sum of the internal angles of a triangle is of 180º, the third angle of triangle FGH is given as follows:

98.6 + 61.1 + x = 180

x = 180 - (98.6 + 61.1)

x = 20.3º.

The second triangle has an angle of 20.3º, hence they are not similar, and the correct option is given by:

Inaccurate. The triangles are not similar because angle M is not congruent to angle H, and angle N is not congruent to angle G.

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Answer:

The square root of 465 with one digit decimal accuracy is 21.5.

Step-by-step explanation:

√465 = 21.5

According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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Answer:

C = 7.72 ~ 7.7

Step-by-step explanation:

So when you solve this equetion you must 1st find x then c

we can find x by using cos(60)

cos(60) = x/14

x = cos(60) × 14

x = 1/2 ×14

x = 7

so after we find x we are going to solve c by using cos (25)

cos (25) = X/C = 7/c

cos(25) × C = 7

C = 7/cos (25)

C = 7.72 ~ 7.7

so the solution is 7.7

Answer:

0.5 is point D, -1/2 is point C, -1.4 is point B, 2 is point F

Step-by-step explanation:

EDGE 2020

On the number line, the given numbers can be located at the following points:

Recall:

Thus:

0.5 is a positive number, it would lie between integers 0 and 1 to our right.

- 1/2 is a negative number, it would lie between integers 0 and -1 to our left.

–1.4 is a negative number, it would lie between integers -1 and -2 to our left.

2 is a positive number, it would be located at our right.

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Answer:

11. 4 times q

17. 2 times a plus 6

19. x + 7

21. 5n

23. f / 10

25. 3n + 16

27. k^2 - 11

29. π · r² · h

This was all I was able to do with the picture provided.

Hopefully these are all correct.

Answer: -4

Step-by-step explanation: Hello! :) To get started we need to use the equation 7x+3=4x-9, First, we need to subtract 4x from both sides to get 3x+3=-9, then we need to subtract 3 on both sides to get 3x=-12, Finally, we need to divide both sides by 3 to get x = -4. So x = -4.

Hope this helps!

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Answer:

Step-by-step explanation:

I=prt/100

5000×2×2=20000÷10

I=2000

The probability that at least one of the flips comes up heads is 1023/1024.

The probability that at least one of the flips comes up heads can be determined by calculating the probability of the complement event (the event that no flips come up heads) and subtracting it from 1.

Let's break it down step by step:

1. Each flip of the fair coin has two possible outcomes: heads or tails. So, the probability of getting heads on a single flip is 1/2, and the probability of getting tails is also 1/2.

2. Since we want to find the probability of getting at least one head in five flips, we need to calculate the probability of the complement event: the probability of getting no heads in five flips.

3. To find the probability of getting no heads in one flip, we multiply the probabilities of getting tails in each individual flip. So, the probability of getting no heads in one flip is (1/2) * (1/2) = 1/4.

4. Since each flip is independent of the others, the probability of getting no heads in five flips is (1/4) * (1/4) * (1/4) * (1/4) * (1/4) = 1/1024.

5. Finally, we subtract the probability of the complement event from 1 to find the probability of getting at least one head: 1 - 1/1024 = 1023/1024.

Therefore, the probability that at least one of the flips comes up heads is 1023/1024.

Remember, this probability assumes that the coin is fair and each flip is independent.

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Let's denote the probability of obtaining heads on a toss of coin A as pA and the probability of obtaining heads on a toss of coin B as pB. The probability of selecting coin A is denoted as p(select A).

To calculate the expected number of tosses until the first heads, we can use the concept of conditional expectation. Let E be the expected number of tosses until the first heads.  If we select coin A, the expected number of tosses until the first heads is 1/pA, as the probability of obtaining heads on each toss is pA. If we select coin B, the expected number of tosses until the first heads is 1/pB, as the probability of obtaining heads on each toss is pB. Using the law of total expectation, we can calculate the overall expected number of tosses: E = p(select A) * (1/pA) + p(select B) * (1/pB) Simplifying further, we have: E = (p(select A)/pA) + (p(select B)/pB) Therefore, to find the expected number of tosses until the first heads, we need to know the probabilities pA, pB, and p(select A). Without these specific values, we cannot provide an exact numerical answer.

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Answer:

254.3

Step-by-step explanation:

A= 3.14*9^2=3.14*81=254.34

254.34 rounded is 254.3

The sum of all edges of the regular quadrilateral Pyramid is approximately 66.68 cm.

The sum of all edges of a regular quadrilateral pyramid, we need to determine the number of edges in the pyramid and then calculate their total length.

A regular quadrilateral pyramid has a base that is a regular quadrilateral, meaning all sides of the base have the same length. Let's assume that each side of the base has a length of "a" cm.

The perimeter of the base is given as P = 30 cm, so each side of the base measures 30 cm divided by 4 (since there are four equal sides) which is 7.5 cm.

Now, let's consider the lateral face of the pyramid. A regular quadrilateral pyramid has four lateral faces, each of which is an isosceles triangle. The perimeter of a lateral face is given as 27.5 cm. Since there are three edges in each lateral face, the length of each edge is 27.5 cm divided by 3, which is approximately 9.17 cm.

Therefore, the sum of all the edges in the pyramid is calculated as follows:

Sum of edges = (4 × a) + (4 × 9.17)

Since we know that each side of the base (a) is 7.5 cm, we can substitute this value into the equation:

Sum of edges = (4 × 7.5) + (4 × 9.17)

            = 30 + 36.68

            = 66.68 cm

Hence, the sum of all edges of the regular quadrilateral pyramid is approximately 66.68 cm.

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Answer:

one solution

Step-by-step explanation:

-7 works

7 does not

Answer:

V = 108

Step-by-step explanation:

B = 9 x 4 = 36 Height of Triangular prism is 3 so 36 x 3 = 108

The value of the discriminant for the equation "2x² + 5x + 3"  is 1 , and the it has 2 real and rational roots .

The Discriminant of a quadratic equation of the form of ⇒ "ax² + bx + c" is calculated  by the expression "b² - 4ac"  .

the values of the variables "a", "b" and "c" ; for quadratic equation "2x² + 5x + 3" ,

the value of  a is = 2, b is = 5, and c is = 3.

substituting values ;

So , the discriminant is ⇒ b² - 4ac

⇒ 5² - 4×2×3  ;

⇒ 25 - 24

⇒ 1

Since , the discriminant is (1)positive, which means that the equation has 2 real roots. and since, discriminant is a perfect square, that means the roots are rational numbers.

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The given question is incomplete , the complete question is

Find the value of the discriminant for the equation 2x² + 5x + 3 , and then describe the number and type of roots for the equation .

Answer:

To find the lowest common multiple (LCM) of 1080, 1188, and 1815, we need to find the smallest number that is a multiple of all three numbers.

One way to find the LCM is to use prime factorization. We can prime factorize each number and then multiply the highest exponent of each prime factor to get the LCM.

1080 = 2^4 * 3^3

1188 = 2^2 * 3 * 199

1815 = 5 * 11 * 163

The LCM is:

2^4 * 3^3 * 5 * 11 * 163 = 1080 * 11 * 163

So the LCM of 1080, 1188, 1815 is 207940.

If 3n + 2 is an odd integer, then n must be odd.

The proof starts by assuming that n is even, which means it can be expressed as 2k for some integer k.

Substituting this value in the expression 3n + 2, we get:

3n + 2 = 3(2k) + 2 = 6k + 2

Simplifying further, we can factor out 2 from the expression:

3n + 2 = 2(3k + 1)

Since 3k + 1 is an integer, we can see that 3n + 2 is even, which contradicts our original assumption that it is odd. Therefore, our initial assumption that n is even is false, and we conclude that n must be odd.

This proof follows the method of proof by contradiction, where we assume the opposite of what we want to prove and show that it leads to a contradiction, hence proving the original statement.

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Answer:

124,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

Fraction              Decimal                Percentage

  \(\frac{19}{100}\)                      \(0.19\)                           \(19 \%\)

  \(\frac{3}{10}\)                        \(0.3\)                            \(3 0\%\)

  \(\frac{49}{100}\)                      \(0.49\)                           \(49 \%\)

  \(\frac{7}{100}\)                      \(0.07\)                            \(7 \%\)

Answer:

First row: 19%

Decimal for 3/10: 0.3

Fraction for 0.49: 49/100

Percentage for 0.49: 49%

Decimal for 7/100: 0.07

Fraction for 7/100: 7&

Also 3% should be 30%. Just to point that out :)

Answer:

b i think

Step-by-step explanation:

The correct answer is b, Modus Tollens.

Modus Tollens is a valid argument that states that if a conditional statement is true, and its consequent is false, then its antecedent must be false as well. In simpler terms, if A implies B, and B is false, then A must also be false.
The argument given in the question is an example of Modus Tollens. The argument can be rephrased as: If you train hard, you win a medal. You did not win a medal, so you did not train hard. This is a valid argument, and the conclusion can be derived from the premises through logical reasoning. Therefore, the correct answer is b, Modus Tollens.

The given argument is an example of Modus Tollens, which is a valid argument in propositional logic. Therefore, the correct answer is b.

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12/44 = 4 × 3 / 4 × 11 = 3/11

_____________________

Thus 12/44 is less than 8/11

Answer:

IT IS LESS THAN 8/11

12/44 < 32/44

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