Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value of each. If a statements truth value is false, give a counterexample

Answers

Answer 1

A conditional statement involves 2 propositions, p and q. The conditional statement, is a proposition which we write as: p⇒q,

and read "if p then q"

Let p be the proposition: Triangle ABC is a right triangle with m(C)=90°.

Let q be the proposition: The sides of triangle ABC are such that

[tex]|AB|^2=|BC|^2+|AC|^2[/tex].

An example of a conditional statement is : p⇒q, that is:

if Triangle ABC is a right triangle with m(C)=90° then The sides of triangle ABC are such that [tex]|AB|^2=|BC|^2+|AC|^2[/tex]

This compound proposition (compound because we formed it using 2 other propositions) is true. So the truth value is True,

the converse, inverse and contrapositive of p⇒q are defined as follows:

converse: q⇒p
inverse: ¬p⇒¬q (if [not p] then [not q])
contrapositive: ¬q⇒¬p

Converse of our statement:

if The sides of triangle ABC are such that [tex]|AB|^2=|BC|^2+|AC|^2[/tex]
then Triangle ABC is a right triangle with m(C)=90°

True

Inverse of the statement:

if Triangle ABC is not a right triangle with m(C) not =90° then The sides of triangle ABC are not such that [tex]|AB|^2=|BC|^2+|AC|^2[/tex]

True

Contrapositive statement:

if The sides of triangle ABC are not such that [tex]|AB|^2=|BC|^2+|AC|^2[/tex] then Triangle ABC is not a right triangle with m(C)=90°

True

Answer 2

Answer:

2022 na wala parin sagot?

Step-by-step explanation:

tsk tsk tsk
kawawi ka naman

Related Questions

A jar contains 21 pennies (worth $0.01 each), 15 nickels (worth $0.05 each), 18 dimes (worth $0.10 each), and 32 quarters (worth $0.25). if a coin is drawn at random, what is the expected value of the draw?

Answers

less than 25 bro.............

A clothing store offers a shirt in 5 colors, in long or short sleeves, with a choice of three different collars. How many ways can the shirt be designed? a. 20 c. 30 b. 25 d. 50

Answers

that is just multiply the number of choices for each
5 colors
2 lengths of sleaves
3 colors

5*2*3=30

answer is 30
C is answer

Answer:

Step-by-step explanation:

Find the sample standard deviation. round to the nearest tenth. 15 42 53 7 9 12 14 28 47

Answers

Because the question asks for the sample standard deviation, use this formula: s = square root of (sum of x - xBar)Â˛ / (n - 1) There are 9 numbers, there, so n - 1 = 8 Next, find the mean (xBar): 15 + 42 + 53 + . . . + 47 = 227. 227 / 9 = ~25.2 Next, for each number, subtract xBar and square the result, like this: (15 - 25.2)Â˛ = 104.0 (42 - 25.2)Â˛ = 282.2 (53 - 25.2)Â˛ = 772.8 ... Next, add up all those values (i.e., 104 + 282.2 + 772.8...) and divide by (n - 1). In this example, the answer to this is 2,535.2 / 8, or 316.9. Finally, take the square root of that number to get s. sqrt (316.9) = 17.8. Therefore, the answer is 17.8.

In his free time, Gary spends 8 hours per week on the Internet and 10 hours per week playing video games. If Gary has five hours of free time per day, approximately what percent of his free time is spent on the Internet and playing video games?

Answers

find how much free time he has per week
assuming our week has 7 days and he even does this on Saturday ad Sunday,

freetimetotal in 1 week=freetime per day times 7=5*7=35

so percent free time spent on video games and internet=(videogames+internet)/totaltimeperweek=(8+10)/35=18/35≈0.514≈51%

the answer is A. 51%

also, regarding how much he's playing:

Answer:

He spent a total of 22.85+28.57 = 51.42 % of his free time o internet and videogames.

Step-by-step explanation:

If Gary has 5 hours of free time per day, he has 5*7=35 hours of free time per week.

Now, in the case of internet:

[tex]\frac{35h}{8h}= \frac{100}{x}[/tex]

[tex]x= \frac{8*100}{35}[/tex]

x= 22.85% spent on internet.

In the case of videogames:

[tex]\frac{35h}{10h}= \frac{100}{x}[/tex]

[tex]x= \frac{10*100}{35}[/tex]

x= 28.57% spent on internet.

The baby weighed 7.25 pounds at birth.At the end of 8 months the baby weighed 2 1/2 times its birth weight .How much does the baby weigh at 8 months

Answers

weight at 8 months = 7.25 x 2 1/2
= 7.25 x 5/2
= 7.25 x 2.5
= 18.125

The baby weighs 18.125 pounds at eight months.

If mRV = mVU, what is mVU?

Answers

64 degrees mate! I hope this helps!!!

Answer:

Answer: C

Step-by-step explanation:

Edge 2021

Point P (3, -4) and its image have symmetry with respect to the origin. Which of the following points represents the image of point P?

answer choices (-3, 4) (3, 4) (4, 3)

Answers

(-3,4) is your answer

Answer: -3,4

Step-by-step explanation:

Because it wants you to rotate th epoint 180 degrees arond the orgin of the coordinate plane which then gives you the -3,4 option as your answer.

Find a formula for the number of patrons as a function of profit.

Answers

Here is my answer. Let just give assumptions. For example,the relationship is linear.Therefore the slope, "m," is the same throughout.
Let us make patrons the independent variable, the two points are: (1314, 11333) and (1544, 13518).
m = (13518-11333)/(1544-1314)
m = 9.5

profit = 9.5 patrons (you pick the variable names)
For 1 more patron substitute 1:
profit = 9.5 (1)
profit = 9.5

Isolate "patrons" and you get the function based on profit:
patrons = profit/9.5

The break even point is for 0 < profit.
0 < profit = 9.5 patrons
0 < 9.5 patrons
0 < patron

What is the smallest angle of rotational symmetry that maps a regular nonagon (9 sides) onto itself?

___°

Answers

Final answer:

The smallest angle of rotational symmetry that maps a regular nonagon onto itself is 40 degrees. This is calculated by dividing the total 360 degrees of the nonagon by its number of sides, which is 9.

Explanation:

The smallest angle of rotational symmetry that maps a regular nonagon onto itself is obtained calculating the total 360 degrees of the nonagon divided by the total number of sides, which is 9.

Here is the step-by-step calculation: 360 degrees / 9 sides = 40 degrees

Therefore, the smallest angle of rotational symmetry for a regular nonagon is 40 degrees.

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Information for the park trails is displayed at the entrance to the park office.

How long is Trail B?

Show your work and round your answer to the nearest foot.

Answers

So you can use tan here, which is opposite/adjacent. (We're looking for the Adjacent)

Since we know Trail E is 1700, we're looking for the patch of trail A that is the adjacent. So if we put 42 into a tan calculator we get about 0.9.

So that means that 1,700 / adjacent = 0.9.

So we can also say

1,700/0.9 = adjacent

or, 1,700/0.9 = 1888.89

Now, we have the little patch of trail A in the smaller right triangle. We want to find the patch of trail A in the larger right triangle.

So just do 5,000 - 1,888.89

You get 3111.11

So if we know that's that, and we're looking for the hypotenuse, or Trail B, we can use cosine, because that's adjacent / hypotenuse.

So 42 in a cosine calculator is 0.74 ish.

So 3111.11 / hypotenuse = 0.74

Or 3111.11 / 0.74 = hypotenuse

Or 3111.11 / 0.74 = 4204

So Trail C should be 4204 feet long.

What work do i need to show?

Answers

You have to show finding the square root of it ______ ___ __
√144x^2 + √225 = √0
which will give you 12x+15=0
12x=15
x=5/4

The banner over the finish line of a running race is 400. Centimeters long and 85 centimeters high. What is the area over the banner?

Answers

34000 is your answer (85 times 400)

First you multiply 400 and 85. Then your answer is 34000.

The length of a rectangle is 3 meters less than 3 times the width. the perimeter is 42 meters. find the width.

Answers

Let x = width

Let length = 3x - 3

Let perimeter = 42

42 = 2x + 2(3x - 3)

42 = 2x + 6x - 6

42 = 8x - 6

42 + 6 = 8x

48 = 8x

48/8 = x

6 = x

The width is 6 meters.

The width of the rectangle will be 6 meters.

What is mean by Perimeter ?

The perimeter of any quadrilateral is the sum of all sides of a

quadrilateral .

Given that;

The length of a rectangle is 3 meters less than 3 times the width.

The perimeter of a rectangle = 42 meters.

Now,

Let the width of a rectangle = x meter

Then, By condition The length of a rectangle is 3 meters less than 3 times the width.

We get;

The length of the rectangle = ( 3x - 3 ) meters

Since,

The perimeter of a rectangle = 2 ( Length + Width )

Here, The perimeter of a rectangle = 42 meters.

Now, After substitute all the values we get;

The perimeter of a rectangle = 2 ( Length + Width )

The perimeter of a rectangle = 2 ( 3x - 3 + x)

42 = 2 ( 4x - 3)

42 = 2 (4x - 3)

Solve for x as,

Divide by 2;

21 = 4x - 3

Add 3 both side;

21 + 3 = 4x - 3 + 3

24 = 4x

Divide by 4, we get;

x = 24/4

x = 6

Thus, The width of a rectangle = 6 meters.

Therefore, The width of the rectangle will be 6 meters.

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Write an equation, in the slope intercept form, of the line with an x-intercept at (3 , 0) and a y-intercept at (0 , -5).

Answers

Hello : let A(3,0) B(0,-5)
the slope is : (YB - YA)/(XB -XA)
(-5-0)/(0-3) = 5/3

an equation, in the slope intercept form is : y - (-5) = (5/3)(x-0)
y = (5/3)x - 5

SOMEONE PLEASE HELP ME ASAP!!!!!!!

Below is a data set consisting of 33 whole-number observations. Its five-number summary is:

(16,20,22,30,46).

What is the range of the data?

A. 6
B. 16
C. 24
D. 30

Below is a data set consisting of 33 whole-number observations. Its five-number summary is:

(16,20,22,30,46).

How many observations are strictly less than 20?

A wide variety of oak trees grow in the United States, In one study, a sample, of acorns was collected from different locations, and their volumes, in cm^3, were recorded. In the table are the summary statistics for these data:

Statistic | Value
N | 38
Mean | 3.0
Median | 1.8
St.Dev. | 2.6
Minimum | 0.3
Maximum | 10.5
1st Quartile | 1.1
3rd Quartile | 4.3

Describe a procedure that uses some or all of these summary statistics to determine whether outliers are present in the data.

Show the work using the procedure from the previous question to determine if there are outliers in these data.

Answers

To determine the number of observations below 24 in the given data set with a five-number summary, we find 25% of 33, yielding 8 observations.

To find the number of observations strictly less than 24, we need to understand the structure of the five-number summary: minimum (12), Q1 (24), median (38), Q3 (51), and maximum (69).

Since Q1 (24) represents the 25th percentile, it indicates that 25% of the observations lie below 24. Therefore, the number of observations strictly less than 24 is 25% of the total number of observations.

Given that there are 33 unique observations, we calculate 25% of 33 as:

[tex]\[ \text{Number of observations} = \frac{25}{100} \times 33 = 8.25 \][/tex]

As we can't have a fraction of an observation, we round down to the nearest whole number. Therefore, there are 8 observations strictly less than 24.

Hence, 8 observations are strictly less than 24 in the given data set.

This calculation involves understanding the position of Q1 in the data set and applying the concept of percentiles to determine the number of observations below a certain value.

The question probable maybe:

Given a data set consisting of 33 unique whole number observations, its five-number summary is: 12, 24, 38, 51, 69

How many observations are strictly less than 24 ?

1. The range of the data is 30.

2. The number of observations strictly less than 20 is the count of observations is 16.

3. Based on the IQR method, there are no outliers in the data.

Let's address each question one by one:

1. Range of the data:

The range of the data is the difference between the maximum and minimum values in the dataset. From the five-number summary given, we have:

Maximum = 46

Minimum = 16

So, the range is:

[tex]\[ \text{Range} = \text{Maximum} - \text{Minimum} = 46 - 16 = 30 \][/tex]

Therefore, the range of the data is 30. Hence, the correct answer is D. 30.

2. Observations strictly less than 20:

From the five-number summary, we know that 20 is the second quartile (median) of the dataset. Observations strictly less than 20 would fall in the first quartile. Therefore, we need to find the number of observations below the first quartile.

Given:

First Quartile = 16

Observations strictly less than 20 = Number of observations below the first quartile.

So, the number of observations strictly less than 20 is the count of observations below the first quartile, which is 16.

Now, for the third question:

To determine if outliers are present in the data, we can use the Interquartile Range (IQR) method.

The Interquartile Range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1).

[tex]\[ \text{IQR} = Q3 - Q1 \][/tex]

Any data point that falls below [tex]$ Q1 - 1.5 \times \text{IQR} $ or above $ Q3 + 1.5 \times \text{IQR} $[/tex] is considered an outlier.

Given:

Q1 = 1.1

Q3 = 4.3

[tex]\[ \text{IQR} = Q3 - Q1 = 4.3 - 1.1 = 3.2 \][/tex]

Therefore, the lower bound for outliers is [tex]$ 1.1 - 1.5 \times 3.2 = -3.7 $[/tex] (which is not relevant in this context), and the upper bound for outliers is [tex]$ 4.3 + 1.5 \times 3.2 = 9.9 $.[/tex]

Looking at the summary statistics:

- The minimum value is 0.3, which is within the range.

- The maximum value is 10.5, which is also within the range.

Hence, based on the IQR method, there are no outliers in the data.

Write the decimal 3.59 as a mixed number in simplest form.

Answers

3.59 written as a decimal is 3 59/100.

A garage charged $248 in parts and $30 per hour in labor for work on a car. How many did the garage spend working on the car if the total bill was $572? Use a two step equation to model the scenario and then solve the question

Answers

In this case, the total bill used for the car is $572. From that bill $248 definitely used for the parts, then the other is used for the labor payment. Then to count how much the labor payment is, you need to subtract total bill with parts bill. The equation would be:

Labor payment = $572 - $248 = $324

From here you can count how many hours the labor did too. It would be: $324/ (30$/hour) = 10.8 hours

3. Solve. 5 < x - 2 < 11

A. 5 < x < 11
B. 7 < x < 13
C. 7 < x < 11
D. 5 < x < 16

Answers

Add 2 to the whole equation

5 + 2 < x < 11 + 2

Simplify

Answer: B) 7 < x < 13 or the second option.

Dominick’s unpaid credit card balance was $2103.24. His APR is 14.4%.

What is his new balance after he makes one new transaction for $280?

Answers

New balance=previous balance+finance charge+New transaction

First we need to calculate the finance charge in order to find the new balance

Finance charge=2,103.24×(0.144÷12 months)
=25.24

New balance
2,103.24+25.24+280
=2,408.48

Hope it helps!

Based on the information given the new balance is $2,408.48.

New balance

First step is to calculate the finance charge

Finance charge=2,103.24×(0.144÷12 months)

Finance charge=2,103.24×0.012

Finance charge=25.24

Second step is to calculate the New balance

New balance=2,103.24+25.24+280

New balance=$2,408.48

Inconclusion the new balance is $2,408.48.

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Juan is saving money for a new car. He has already saved $200 and plans to save $25 per week. This situation can be represented by the function f(x) = 200 + 25x, where x is the number of weeks. How much money has Juan saved after 8 weeks?
$200
$400
$600
$800

Answers

He would have $400 after 8 weeks.

400 is the correct answer. I am too lazy to put an explanation, but trust me it's not 800, I just got it wrong.

Which of the following expressions is equivalent to 6m - 10?
2(3m + 5)
-2(5 - 3m)
2(3m - 10)

Answers

6m - 10

Test each answer to find out which one's correct.
2(3m + 5)
6m + 10

-2(5 - 3m)
-10 + 6m
6m - 10

2(3m - 10)
6m - 20

The correct answer is -2(5 - 3m).

i have zero idea.. help please.

Answers

As we look, line TU = 16. But, there are two lines right below it, and there are two lines on the line UW. Now, all that this means is UW is the same length as TU.

Since we know what TU and UW is and we need to add them together to find the total length of the line TW.

16 + 16 = 32.

Therefore, the length of line TW is 32 units long.

Hope I could help you out!
If my answer is incorrect, or I provided an answer you were not looking for, please let me know. However, if my answer is explained well and correct, please consider marking my answer as Brainliest! :)

Have a good one.
God bless!

Yes I agree with that good luck

God bless

Why does a low range indicate precision in a measurement tool?

Answers

The answer is because precision refers to the closeness of the measured data with each other. Having a low range means that the data are not widely distributed. Range is the difference of the largest value to the smallest value. When the least data is very close to the largest data, then the range will be low or close to zero.

Based on this map, about how long is the niger river? 500 miles 1,500 miles 2,600 miles 3,900 miles

Answers

The Nile River is 2,600 miles long. If you are answering the FLVS question then it is also 2,600 miles.

Subtract. Your answer should be a polynomial in standard form. (-9g^4+3g^2h+1) -(6g^4-3g^2h+h)

Answers

Just combine like terms and you get -15g^4+6g^2h-h+1

Please help with the tennis court one.

Answers

We have two sides of length 'w'. They are the vertical sides.

We also have two sides of length '2w+6' which are the horizontal sides.

So we have these four sides
side1 = w
side2 = 2w+6
side3 = w
side4 = 2w+6

Let's add up those four sides to get
Perimeter = (side1)+(side2)+(side3)+(side4)
Perimeter = (w)+(2w+6)+(w)+(2w+6)
Perimeter = w+2w+6+w+2w+6
Perimeter = 6w+12

------------------------

Since the perimeter is given to be 228, and we found the perimeter expression to be 6w+12, this must mean that the two are equal

So, 6w+12 = 228

Let's solve for w

6w+12 = 228
6w+12-12 = 228-12
6w = 216
6w/6 = 216/6
w = 36

------------------------

Now that we know that w = 36, we can find the dimensions of this rectangle

The vertical sides are simply w, so the vertical sides are 36 feet each. I simply replaced w with 36.

The horizontal sides are a bit more complicated. The expression we have is 2w+6 or 2*w+6. Let's replace w with 36 and use PEMDAS to evaluate

2*w+6 = 2*36+6 = 78

------------------------------------------
------------------------------------------

Answers are...
Length = 78 feet
Width = 36 feet
(the length is the horizontal component, the width is the vertical)

Answer:

Length = 78 feet

Width = 36 feet

Step-by-step explanation:

Add 11.25 and 0.03.

3 is repeating.

Answers

Alright, so we can do
11.25
+0.0333333
________
11.28333333333
For 0.03 (3 repeating), we can write that as 1/30. For 0.003 (3 repeating), it's 1/300. Therefore, we have 11.28+0.003=11.28 + 1/300

Using the fractions 2/3 and 3/4 describe how to give two fractions common denominators

Answers

One way is to find the prime factorization for the denominators which are 3 and 4. The prime factorization of 3 would be 1 x 3 and 4 would be 2 x 2. Since we only use prime numbers to find the prime factorization we would have 2 x 2 x 3 = 12 which give us the the least common denominator for 2/3 and 3/4. Final answer is 12.

When the denominators can't divide into each other, you multiply each fraction by the other fractions' denominator to get a common denominator

It looks like this:
[tex] \frac{2}{3}*( \frac{4}{4} )= \frac{8}{12} [/tex]

[tex] \frac{3}{4}*( \frac{3}{3})= \frac{9}{12} [/tex]
now each denominator is 12

Sam made $198 last week cutting grass. He worked for 18 hours. How much did he make per hour? He thinks he made $12 per hour. True False

Answers

divide:

198/18 = 11

he made $11 per hour

so it's False, he did not make $12 per hour

Which of the following will result in a rational answer?
A. multiplying pie by a fraction
B. adding the square root of a non perfect square to a whole number
C. adding the square root of a perfect square to pie
D. multiplying a fraction by a repeating decimal.

P.S. I asked a question 2 before this one, no one has answered it can someone do that?

Answers

answer

B. adding the square root of a non perfect square to a whole number

P.S
Non-perfect square roots as rational numbers

The correct answer is D
(any fraction) * (any decimal) = rational answer
For example: (3/5) * 0.11111(1)= rational
PS: any fraction is a rational number if a nominator is an integer and a denominator is a natural number

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