23.09.2020

Which of the following statements is true regarding this data? Select all that apply.

. 4

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Mathematics
Step-by-step answer
P Answered by PhD

The rule for the transformation is (x, y)\rightarrow (-x, -y).

The coordinates of L' are (-2,-2).

The coordinates of N' are (-1,-6).

Step-by-step explanation:

Given:

Vertices of a triangle are: L(2,2),M(4,4)\textrm{ and }N(1,6)

The rotation is 180 degree.

So, the rule for 180 degree rotation is:

(x,y)\rightarrow (-x,-y)

Therefore, the new co-ordinates of the vertices are:

L(2,2)\rightarrow L'(-2,-2)\\M(4,4)\rightarrow M'(-4,-4)\\N(1,6)\rightarrow N'(-1,-6)

So, the correct options are:

The rule for the transformation is (x, y)\rightarrow (-x, -y).

The coordinates of L' are (-2,-2).

The coordinates of N' are (-1,-6).

Mathematics
Step-by-step answer
P Answered by PhD

The rule for the transformation is (x, y)\rightarrow (-x, -y).

The coordinates of L' are (-2,-2).

The coordinates of N' are (-1,-6).

Step-by-step explanation:

Given:

Vertices of a triangle are: L(2,2),M(4,4)\textrm{ and }N(1,6)

The rotation is 180 degree.

So, the rule for 180 degree rotation is:

(x,y)\rightarrow (-x,-y)

Therefore, the new co-ordinates of the vertices are:

L(2,2)\rightarrow L'(-2,-2)\\M(4,4)\rightarrow M'(-4,-4)\\N(1,6)\rightarrow N'(-1,-6)

So, the correct options are:

The rule for the transformation is (x, y)\rightarrow (-x, -y).

The coordinates of L' are (-2,-2).

The coordinates of N' are (-1,-6).

Mathematics
Step-by-step answer
P Answered by PhD
Answers:Statement 1Statement 4

note: I wasn't sure about statement 2. I think your teacher made a typo with that.

Let's go through the five statements to see if they are true or not.

Statement 1) The hypothesis of the statement is "If the sum of the digits in a number is divisible by 3"

This is a true statement as conditionals are of the basic form "if hypothesis, then conclusion". A hypothesis is an educated guess or assumption, and it leads to the conclusion which is often directly (or somewhat directly) tied to the hypothesis.

Statement 2) An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3."

This is a bit baffling as this is an identical copy of the statement Galen wrote at the top. It seems like your teacher made a typo here (probably didn't realize they cut/pasted the wrong thing). I'm not sure what to do here. I would ask your teacher for clarification.

Statement 3)  The statement is not a conditional statement because it does not include both an "if" and a "then" clause.

This is false. It is indeed a conditional even if it doesn't fit the exact parameters of "if ..., then " format. You could have a conditional that reads "it gets wet outside if it rains", which can be rearranged into "if it rains, then it gets wet outside". Both are considered conditionals even though the first one doesn't have "then".

Statement 4) The statement can be proven true or false

This is true. We can prove Galen's statement to be true or false. In this case, it can be proven to be true. This is one of the many divisibility rules.

Statement 5) The conclusion of the statement is written before the hypothesis.

This is false. The conclusion in this case is "the original number is divisible by 3" which is written after the hypothesis. There is a way to write the conclusion first by saying "a number is divisible by 3 if the sum of its digits are divisible by 3". But that isn't the case here.

Mathematics
Step-by-step answer
P Answered by PhD
The numerical values of the area and circumference are equal when r=2The numerical value of the area is less than the numerical value of the circumference when r<2The numerical value of the area is greater than the numerical value of the circumference when r>2

Step-by-step explanation:

The formulas for area (A) and circumference (C) are ...

  A = πr² = (πr)r

  C = 2πr = (πr)2

Comparing numerical values, ...

when r=2, these have the same numerical value;

when r < 2, area is smaller;

when r > 2, area is larger.

Mathematics
Step-by-step answer
P Answered by PhD
1. 113.0.

2. She could multiply 9.42 by 2.

3. 3.14*(5)^2=3.14*25=78.5 m^2

4. 144 - 36π
144 - 36(3.14)
30.90266447
31 (rounded to the nearest whole number).

5. π × 4² = 16π = 50.3 in².

6. Divide the diameter by 2.

7. The height of the sector is "r".

8. The numerical values of the area and circumference are equal when r=2;
The numerical value of the area is less than the numerical value of the circumference when r<2;
The numerical value of the area is greater than the numerical value of the circumference when r>2.

9. formula for area of a circle: πr² [r=radius]
Plug in r: π(1)²
Add units
π².

10. She could divide 9.42 by Pi to find the radius, then multiply 9.42 by the radius.
Mathematics
Step-by-step answer
P Answered by PhD
The numerical values of the area and circumference are equal when r=2The numerical value of the area is less than the numerical value of the circumference when r<2The numerical value of the area is greater than the numerical value of the circumference when r>2

Step-by-step explanation:

The formulas for area (A) and circumference (C) are ...

  A = πr² = (πr)r

  C = 2πr = (πr)2

Comparing numerical values, ...

when r=2, these have the same numerical value;

when r < 2, area is smaller;

when r > 2, area is larger.

Computers and Technology
Step-by-step answer
P Answered by PhD

The correct options are;

To improve cognitive accessibility, the developer should focus on a clear and consistent design

Even though there are different causes for cognitive impairment, many of the resulting functional issues are similar

Delivering content in different ways such as video, animations, and text, helps promote cognitive accessibility

Explanation:

Cognitive impairment refers to the condition of a person's current mental health condition where by the person suffers from or experiences constant confusion, memory loss, lack of attentiveness, difficulty in understanding or making sense, unable to recollect the (facial) features of people that they know or places they have been to or things that they have done and displaying poor motor coordination.

Computers and Technology
Step-by-step answer
P Answered by PhD

The correct options are;

Delivering content in different ways, such as using video, animations, and text, helps promote cognitive accessibility

To improve cognitive accessibility, the developer should focus on a clear and consistent design

Even though there are different causes for cognitive impairment, many of the resulting functional issues are similar

Explanation:

Cognitive impairment is the condition of a person having difficulty in concentrating, learning, recalling from memory, or making functional decisions. Depending on the severity, cognitive impairment may be classified as severe or mild

Symptoms includes, loss of memory, asking the same questions or telling the same story frequently, unable to recognize people they already know, or places they have already been to, having problems with vision and being unable to plan or see tasks through

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