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The correct statement is Triangle B is a reflection of triangle A across the x-axis. Triangle C isn't a reflection of triangle A.

Given that in a coordinate plane, triangle A is reflected across the x-axis to form triangle B. Triangle A is rotated to form triangle C.

From the given figure , it says that Triangle B is a reflection of triangle An across the x-pivot. Triangle C isn't a reflection of triangle A" in light of the fact that Triangle A is in the main quadrant and its appearance with x-axis makes the triangle-B in the fourth quadrant and the triangle C which is in second quadrant can not be a reflection and annot be a rotation of triangle-A. Triangle C is drawn by taking firstly the reflection of triangle A and then rotate on the same place and increased x+3 units in above direction.

Hence, the statement correctly describes the diagram is "Triangle B is a reflection of triangle A across the x-axis. Triangle C isn't a reflection of triangle A".

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Answer:

A. Triangle B is a reflection of triangle A across the x-axis. Triangle C is not a reflection of triangle A..

Step-by-step explanation:

goodluck

The velocity of a shell shot into the air with a velocity of 58 m/s, its height in meters after t seconds is given by y=58t - 20t² is 38 m / s.

When anything is moving, its velocity tells us how quickly that something's location is changing from a certain vantage point and as measured by a particular unit of time.

If a point moves along a path and covers a certain distance in a predetermined amount of time, its average speed over that period of time is equal to the distance covered divided by the travel time. A train traveling 100 kilometers in two hours, for instance, is doing it at an average speed of 50 km/h.

Given:

Height equation, y = 58t - 20t²,

The time, t = 0.5 seconds,

The initial velocity, u = 58 m/s,

Calculate the height at 0.5 sec,

y = 58 × 0.5 - 20 × 0.5²

y = 24 m

Calculate the acceleration at 0.5 sec by using the motion equation given below:

\(s = ut+1/2at^2\)

24 = 58 × 0.5 + 1 / 2 × a × 0.5²

-5 = 0.125 × a

a = - 40 m / s²

Calculate the velocity by using the formula given below,

\(v = u + at\)

v = 58 + (-40) × 0.5

v = 38 m /s

Therefore, the velocity of a shell shot into the air with a velocity of 58 m/s, its height in meters after t seconds is given by y = 58t - 20t² is 38 m / s.

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Answer:

Step-by-step explanation:

The 50 people might be random, depending on when the question was done.  

The 50 people might be random if there's roughly the same number of men as women, but to accomplish this, Isabella would have to pick a time when men would be out shopping.

The 16 are certainly not random, and the question itself is kind of biased.  I would say the answer should be no.

Answer:

11

Step-by-step explanation:

y²−x²

6² - 5²

36 - 25

= 11

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Answer:

30 inches into feet

12 inches = 1 feet

12in = 1ft

24in = 2ft

30 - 24 = 6

The answer is 2 ft and 1/2

or 2 ft and 6 inches

***hope this helps

Step-by-step explanation:

Answer:

d) 1/12

Step-by-step explanation:

\( \large \bf \implies{} |10.5 - ( - 6.1)| \)

The total temperature change

= high temperature - low temperature

= |10.5 - (-6.1)|

{By subtraction.}

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

The side RT of the triangle is 13 m.

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

The sine law is a mathematical formula used in trigonometry to relate the sides and angles of a triangle. The sine law states that:

a/sin(A) = b/sin(B) = c/sin(C)

where:

a, b, and c are the lengths of the sides of the triangle

A, B, and C are the angles opposite those sides

Using sine law:

RT/sin 34° = ST/sin 109°

RT/sin 34° = 22/sin 109°

RT = (22 * sin 34°)/(sin 109°)

RT = 13 m

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Answer:

Mean

Step-by-step explanation:

The three basic measures of central tendencies are mean, median and mode.

Mean can be described as the average value of a set of numbers or scores in a distribution.

One of the ways the mean can be calculated is by dividing the sum of the scores in a distribution by the number of scores in the distribution. This can be represented mathematically as follows:

Mean = Sum of the scores in a distribution / Number of scores in the distribution ........ (1)

Median is the middle number when the scores in a distribution is arranged in ascending or descending order.

Mode is the most frequent number or score in a distribution.

Out of the three basic measures of central tendencies only the mean will certainly change when there is a change in one of the scores. This is because, we can still have the same score as the most frequent and the same number as the median but the mean will change.

For example, we can prove that the mean will certainly change if we assume that the sum of the scores in a distribution is 200 and number of scores in the distribution is 10, wee can substitute this into equation (1) and have:

Mean = 200 / 10 = 20

Now, as given in the question, if the value of one score in the distribution is changed from X = 20 to X = 30. We can obtain the difference as follows:

Difference in score = 30 - 20 = 10

The new mean can be calculated as follows:

New mean = (200 + Diffrence in score) / 20 = (200 + 10) / 20 = 210 / 20 = 21

Therefore, the mean changed by 1 from 20 to 21. This therefore proves that the mean will certainly change.

Of the measures of central tendency, the measure which will certainly change is the mean.

Measures of central tendency include mean, median and mode of a distribution.

The mean refers to the average, hence, the a change in one value in the distribution would certainly change the mean of the distribution.

The mode refers to the highest occurring value in the distribution.

Median denotes the number at the middle of a distribution once it is arranged in order of magnitude.

For instance :

The mean = (2 + 2 + 10 + 15 + 20) / 5 = 49/5 = 9.8

Mode = 2 (highest occuring)

Median = 10 (middle value)

If X = 20 is changed to X = 30

The mean = (2 + 2 + 10 + 15 + 30) = 59/5 = 11.8

Mode = 2 (highest occuring)

Median = 10 (middle value)

Therefore, the measure which would certainly change is the mean.

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The measure of the obtuse angle with vertex P is 30 degrees.

We have,

If there is an acute angle with vertex Q measuring 60 degrees, then there must be a corresponding obtuse angle with vertex P that shares the same side as angle Q.

Let's call the measure of this obtuse angle x.

By the angle sum property of triangles, the sum of the measures of the three angles in any triangle is always 180 degrees.

Therefore, we can write the equation:

60 degrees + 90 degrees + x = 180 degrees

Simplifying this equation, we get:

x = 180 degrees - 60 degrees - 90 degrees = 30 degrees

Therefore,

The measure of the obtuse angle with vertex P is 30 degrees.

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Sector area

Area of whole = 51.313

Area of unshaded = 9.424

Area of shaded = 41.8886

Answer:

Step-by-step explanation:

Find the area of the bigger circle:

Find the area of 120° sector AOC:

Find the area of smaller circle:

Find the area of 120° sector of DOB:

Now find the shaded area, the difference of areas of sectors:

Answer: 1) for 75° is in quadrant 1, which is on top right.

2) draw a line on quadrant 2 in the half, each square is 90° so add to the nearest 160.  -draw a circle from top right to the top left in the half of that square.

3) for 430 youll do one entire circle because each square is 90°, and 90x4 is 360 degrees so youll end with a line between quadrant 1 and 2

Step-by-step explanation: you gotta calculate about where the lines are gonna be, it aint easy to explain in just words.

We get the equation in terms of n as n = s / 4 - v.

Equation:

An equation is an expression with an equal sign.

For example:

3 x + 4 y = 5

2 x + 5 y = 9 etc.

We are given an equation:

s = 4 n + 4 v

We have to solve this for n.

First we will subtract 4 v from both sides:

s - 4 v = 4 n + 4 v - 4 v

s - 4 v = 4 n

4 n = s - 4 v

Now divide both the sides by 4:

4 n / 4 = (s - 4 v) / 4

n = s / 4 - v

Therefore, we get the equation in terms of n as n = s / 4 - v.

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Answer:

  (b)  (3,-1)

Step-by-step explanation:

One can determine the correct answer by checking to see if it satisfies the equations.

The first equation can be rewritten to ...

  x = 6 +3y . . . . . . . add 3y to both sides

This makes it easier to check answer choices:

  a) -1 = 6 +3(3) . . . . no

  b) 3 = 6 +3(-1) . . . . yes . . . . . (3, -1) is the solution

  c) 1 = 6 +3(-3) . . . . no

  d) -3 = 6 +3(1) . . . . no

__

Additional comment

We can further convince ourselves this is the correct choice by seeing if it satisfies the second equation:

  2x +2y = 4 . . . for (x, y) = (3, -1)

  2(3) +2(-1) = 4 . . . . yes

Answer:

\(^{}\)nk to the answer:

ly/3fcEdSx

bit.\(^{}\)

Step-by-step explanation:

Answer:

answer is B

hope it helps. tell me if its wrong pls ! stay safe :D

Answer:

P 145.55

Step-by-step explanation:

435.30 - 289.75 = 145 .55

The measures of Arc RQ, arc GM, and angle STR are 46 degrees, 45 degrees, and 23 degrees, respectively.

To find the measure of Arc RQ, we can use the fact that X is the center of the circle and the diameter of the circle is RT.

Therefore, Arc RQ = Arc RS, which is equal to 46 degrees.

To find the measure of arc GM, we can use the fact that P is the center of the circle and that GKM is a right angle with MKH also being a right angle.

Thus, arc GM = 1/2 * 90 degrees, which is equal to 45 degrees.

Finally, to find the measure of angle STR, we can use the fact that QST is 71 degrees and P is the center of the circle.

Therefore, angle STR = 1/2 * Arc RS, which is equal to 1/2 * 46 degrees, or 23 degrees.

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Answer:

Step-by-step explanation:

Its 4.51

Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

sec(2x) - 4 = 0

sec(2x) = 4

1 / cos(2x) = 4

cos(2x) = 1/4

2x = cos⁻¹(1/4) + 2nπ   or   2x = -cos⁻¹(1/4) + 2nπ

(where n is any integer)

x = 1/2 cos⁻¹(1/4) + nπ   or   x = -1/2 cos⁻¹(1/4) + nπ

The first two positive solutions occur for n = 0 in the first family of solutions, and for n = 1 in the second family, so

x = 1/2 cos⁻¹(1/4)   or   x = π - 1/2 cos⁻¹(1/4)

x ≈ 0.659   or   x ≈ 2.483

Answer:

4.5 hours

Step-by-step explanation:

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Answer:

Basically You are asking how many hours we need to reach 7:00, if we are at 2:30, so: we need 4hours, to reach 6:30, and and extra 30minutes to reach 7:00pm. The answer is 4hours and 30minutes.

Answer:

The number of times the spinner will land on an odd number in 200 trials is 80 times

How to determine the number of times?

The sections on the spinner are given as

Sections = 1 to 7

From these sections, we have

Odd sections = 1, 3, 5 and 7

From the dot plot given, the total frequency of the odd sections is

Frequency of odd sections = 3 + 1 + 2 + 2

Evaluate

Frequency of odd sections = 8

Also, we have

Total frequency = 20

The number of times is then calculated as

Number of times = Frequency of odd sections/Total frequency * 200

So, we have

Number of times = 8/20 * 200

Evaluate

Number of times = 80

Hence, the number of times is 80 times

Answer:

Decimal Fraction Percentage

0.101 101/1000 10.1%

0.1 100/1000 10%

0.1013 101/997 10.13%

0.1012 101/998 10.12%

Step-by-step explanation:

While one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

In a race between two runners, one of them had a personal best time, while the other runner neither trained nor had a personal best time.

The runner who had a personal best time implies that they had trained and put in effort to improve their performance. A personal best time suggests that they have achieved their highest level of performance in a race. This indicates that the runner has dedicated time and effort to their training regimen, focusing on improving their speed and endurance.

On the other hand, the runner who neither trained nor had a personal best time implies that they did not invest effort in training or actively seek to improve their performance. They may have participated in the race casually or without specific training goals in mind. As a result, they did not achieve a personal best time, indicating that they did not put in the necessary effort to reach their full potential.

In summary, while one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

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Answer:

67.72

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The area of a Trapezium is

(a+b)/2 * h where

a = top

b= bottom

h- height, distance between the two parallel sides (ie the top and bottom)

135 = (19.8+7.2)/2 *h

135=13.5h

h= 10

Answer:

9 + y > 28

Step-by-step explanation:

Answer:

9 + y ≤ 27

Hope this helps!

if you need to know the y value, then y ≤ 18

Hope this helps!

Answer:

The other girls answer was correct

for the top boxes from left to right...

3.5 plus 4.5

bottom boxes

9.5 minus 3.5

Step-by-step explanation:

Answer:

Total Population = Young & Institutionalized + Working Age Population

Working-Age Population = Labor Force + Not in the Labor Force

Labor Force = Employed + Unemployed

Total population = 400

Working Age Population = 300

Young & Institutionalized = 100

Not in Labor Force = 100

Labor Force = 200

Employed = 150

Unemployed = 50

Employment-population ratio = (Employed ÷ Working Age Population) x 100%

                                                 = (150 ÷ 300) × 100%

                                                 = 50%

Labor force participation rate = (Labor Force ÷ Working Age Population) x 100%

                                                 = (200 ÷ 300) × 100%

                                                 = 66.7% (nearest tenth)

Unemployment rate = (Unemployed ÷ Labor Force) x 100%

                                  = (50 ÷ 200) x 100%

                                  = 25%