Triangle ABC with vertices at A(−3, −3), B(3, 3), C(0, 3) is dilated to create triangle A′B′C′ with vertices at A′(−1, −1), B′(1, 1), C′(0, 1). Determine the scale factor used.

1
one half
3
one third

Answer:

Tom and Juanita will be 68 miles apart.

Step-by-step explanation:

16 x 2 = 32 miles

18 x 2 = 36 miles

36 + 32 = 68 miles

Answer:

Sure.

Tom and Juanita are moving in opposite directions, so their speeds are added together. Their combined speed is 16+18=34 mph.

If they travel for 2 hours at a speed of 34 mph, they will travel a distance of 34×2=68 miles.

Therefore, they will be 68 miles apart in 2 hours.

Is there anything else I can help you with?

Step-by-step explanation:

Answer:

The single function to calculate the final cost of the gaming system, including a 15% off discount and a 10% state tax, is: final_cost(c) = 0.935c.

Step-by-step explanation:

To represent the cost of the gaming system before any discounts or taxes, we can use the variable c:

c represents the cost of the gaming system.

To represent the price after the 15% off discount, we need to calculate the discounted price by subtracting 15% of the cost from the original cost:

p = c - 0.15c

Simplifying, we get:

p = 0.85c

Here, p represents the price after the 15% discount has been applied.

To represent the price after the 10% state tax has been added to the discounted price, we need to calculate the price with the added tax:

final_price = p + 0.1p

Simplifying, we get:

final_price = 1.1p

Here, final_price represents the price after the 10% state tax has been added.

Therefore, the correct single function to help Indiana calculate the final cost is:

final_cost(c) = 1.1(0.85c)

Simplifying further:

final_cost(c) = 0.935c

Answer: 120 feet sqaured

Step-by-step explanation:

Surface area for square pyramid formula: 2bh + b^2

Base = 6  Height = 9

2*6*9+6^2 =

108+12 =

120

Answer:

120 feet squared

Step-by-step explanation:

Answer:

1200 square inches

Step-by-step explanation:

Surface area of right triangular prism:

       [tex]\boxed{\text{\bf Surface area of right triangular prism = bh + $\bf (s_1 + s_2+s_3)* l$}}[/tex]

                 b = base of the triangle = 30 in

                 h = altitude of the triangle = 8 in

                 [tex]\sf s_1, ~ s_2, ~ s_3 \ are \ the \ sides \ of \ the \ triangle.\\\\s_1 = 17 \ in, \ ~~ s_2 = 17 \ in, ~~ s_3 = 30 \ in[/tex]

                 l = length of the rectangle = 15 in

Surface area of right triangular prism = 30*8 + (17 +17 + 30) * 15

                                                               = 30*8 + 64 *15

                                                               = 240 + 960

                                                              = 1200 square inches

Answer: it is going to be 24

Step-by-step explanation:

Hello !

odd = 5, 7, 9

There are 3 numbers out of a total of 5:

3/5 = 0,6 = 60%

Answer is 60%.

To find the best measure of variability for the data and determine which player was more consistent, we can calculate the range and the interquartile range (IQR) for both players.

The range is calculated by subtracting the minimum value from the maximum value in a dataset. The IQR is a measure of dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset.

Let's calculate the range and IQR for both players:

For Player A:

The data for Player A is: 2, 1, 3, 8, 2, 3, 4, 4, 1.

To calculate the range:

[tex]\text{Range} = \text{maximum value} - \text{minimum value}[/tex]

The maximum value is 8, and the minimum value is 1.

[tex]\text{Range} = 8 - 1 = 7[/tex]

For Player B:

The data for Player B is: 1, 4, 5, 1, 2, 4, 5, 5, 10.

To calculate the range:

[tex]\text{Range} = \text{maximum value} - \text{minimum value}[/tex]

The maximum value is 10, and the minimum value is 1.

[tex]\text{Range} = 10 - 1 = 9[/tex]

To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3) for each player:

For Player A:

Arranging the data in ascending order: 1, 1, 2, 2, 3, 3, 4, 4, 8.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 2, 3.

Q1 = 2

To calculate Q3, we find the median of the upper half of the data: 3, 4, 4, 8.

Q3 = 4

The IQR is calculated as:

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

[tex]\text{IQR} = 4 - 2 = 2[/tex]

For Player B:

Arranging the data in ascending order: 1, 1, 2, 4, 5, 5, 5, 10.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 4.

Q1 = 1.5

To calculate Q3, we find the median of the upper half of the data: 5, 5, 5, 10.

Q3 = 5

The IQR is calculated as:

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

[tex]\text{IQR} = 5 - 1.5 = 3.5[/tex]

Based on the calculations, we can conclude:

Player A is the most consistent, with a range of 7.

Player B is the most consistent, with a range of 9.

Player A is the most consistent, with an IQR of 2.

Player B is the most consistent, with an IQR of 3.5.

Therefore, the correct answer is:

Player A is the most consistent, with an IQR of 2.

[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]

♥️ [tex]\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]

Answer:To find the best measure of variability for the data and determine which player was more consistent, we can calculate the range and the interquartile range (IQR) for both players.

The range is calculated by subtracting the minimum value from the maximum value in a dataset. The IQR is a measure of dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset.

Let's calculate the range and IQR for both players:

For Player A:

The data for Player A is: 2, 1, 3, 8, 2, 3, 4, 4, 1.

To calculate the range:

The maximum value is 8, and the minimum value is 1.

For Player B:

The data for Player B is: 1, 4, 5, 1, 2, 4, 5, 5, 10.

To calculate the range:

The maximum value is 10, and the minimum value is 1.

To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3) for each player:

For Player A:

Arranging the data in ascending order: 1, 1, 2, 2, 3, 3, 4, 4, 8.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 2, 3.

Q1 = 2

To calculate Q3, we find the median of the upper half of the data: 3, 4, 4, 8.

Q3 = 4

The IQR is calculated as:

For Player B:

Arranging the data in ascending order: 1, 1, 2, 4, 5, 5, 5, 10.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 4.

Q1 = 1.5

To calculate Q3, we find the median of the upper half of the data: 5, 5, 5, 10.

Q3 = 5

The IQR is calculated as:

Based on the calculations, we can conclude:

Player A is the most consistent, with a range of 7.

Player B is the most consistent, with a range of 9.

Player A is the most consistent, with an IQR of 2.

Player B is the most consistent, with an IQR of 3.5.

Therefore, the correct answer is:

Player A is the most consistent, with an IQR of 2.

♥️ To find the best measure of variability for the data and determine which player was more consistent, we can calculate the range and the interquartile range (IQR) for both players.

The range is calculated by subtracting the minimum value from the maximum value in a dataset. The IQR is a measure of dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset.

Let's calculate the range and IQR for both players:

For Player A:

The data for Player A is: 2, 1, 3, 8, 2, 3, 4, 4, 1.

To calculate the range:

The maximum value is 8, and the minimum value is 1.

For Player B:

The data for Player B is: 1, 4, 5, 1, 2, 4, 5, 5, 10.

To calculate the range:

The maximum value is 10, and the minimum value is 1.

To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3) for each player:

For Player A:

Arranging the data in ascending order: 1, 1, 2, 2, 3, 3, 4, 4, 8.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 2, 3.

Q1 = 2

To calculate Q3, we find the median of the upper half of the data: 3, 4, 4, 8.

Q3 = 4

The IQR is calculated as:

For Player B:

Arranging the data in ascending order: 1, 1, 2, 4, 5, 5, 5, 10.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 4.

Q1 = 1.5

To calculate Q3, we find the median of the upper half of the data: 5, 5, 5, 10.

Q3 = 5

The IQR is calculated as:

Based on the calculations, we can conclude:

Player A is the most consistent, with a range of 7.

Player B is the most consistent, with a range of 9.

Player A is the most consistent, with an IQR of 2.

Player B is the most consistent, with an IQR of 3.5.

Therefore, the correct answer is:

Player A is the most consistent, with an IQR of 2.

♥️

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

21.5%+28.5%+13%+27%=90%

100%-90%=10%

however there are 500 students in the school so you have to work out 10% of 500.

10% of 500 = 50

Answer:

50

Step-by-step explanation:

21.5%+28.5%+13%+27%=90%

100%-90%=10%

however there are 500 students in the school so you have to work out 10% of 500.

10% of 500 = 50

Answer:

x=10

<DPT=149°

<APW=149°

<WPD=31°

Step-by-step explanation:

4x-9=91-6x

4x+6x=91+9

10x=100

x=10

<DPT=180-(4(10)-9)

<DPT=180-31

<DPT=149

<APW=149 (Same as <DPT)

<WPD=4x-9

<WPD=40-9

<WPD=31

The total distances you traveled to reach your destination on each day of your three-day trip are as follows:

a) Day 1 = 40 miles

b) Day 2 = 30 miles

c) Day 3 = 11 miles.

The total distances are determined using proportions.

Proportion refers to the fractional value of the whole number or quantity.

a) Day 1:

The fractional distance traveled = ⁵/₈

The remaining distance to travel = 15 miles

15 miles = ³/₈ (1 - ⁵/₈)

Proportionately, the total distance = 40 miles (15 ÷ ³/₈)

b) Day 2:

The distance traveled = 18 miles

The remaining distance to travel = ²/₅

The distance traveled = ³/₅ (1 - ²/₅)

³/₅ = 18 miles

Proportionately, the total distance = 30 miles (18 ÷ ³/₅)

c) Day 3:

The distance traveled = ⁵/₁₁

The distance to travel = 6 miles

The distance to travel in fractions = ⁶/₁₁ (1 - ⁵/₁₁)

Proportionately, if 6 miles = ⁶/₁₁, the total distance = 11 miles (6 ÷ ⁶/₁₁)

Learn more about proportions at https://brainly.com/question/1496357.

#SPJ1

Answer:

The correct answer would be choice A: 94, 98 , 96, 100, 97

The mean is the best measure of central tendency when the values are close together and there are no outliers. Choice A is the only set with no outliers. The rest of the sets have an outlier which will skew the mean.

Step-by-step explanation:

it might be wrong but i am pretty sure

hope it helped;)

Answer:

9 times

Step-by-step explanation:

The number 15 multiplied to the number 9 which gives the value 135.

To find the that how many 15 is to get 135, division should be performed.

So, dividing 135 by 15 gives:

= 135 ÷ 15

                         15 | 135 | 9

                                135

                            _______

                                   0

Thus, the quotient is 9.

Therefore, 15 goes into 135 exactly 9 times.

Learn more about Division here:

https://brainly.com/question/2273245

#SPJ6

Answer:

3 units down

Step-by-step explanation:

J(-1, -5) → J'(-1, -8)

The x coordinate of the vertex J is -1 and does not change in J' (it is still -1)

The y coordinate of J is -5, and for J' is -8.  This means the translation direction of 3 units down.  (-8- -5 = -3)

Answer: A

Step-by-step explanation:

Given by the table shown, we can see that the numbers are already put in least to greatest.

We count how many ranges there are:
(0 to 20)

(20 to 40)

(40 to 60)
(60 to 80)

(80 to 100)

There are 2 numbers that are between he range (0-20)

This doesn’t help us figure out wether it’s A or B. So we move on to the second range, 20 to 40.

Here we see that there are 6 numbers between 20 to 40. That’s only one answer, A

Answer:

P(factor of 20) = P(5) = 1/3

Step-by-step explanation:

The factors of 20 are

1 and 20

2 and 10

4 and 5

or 1, 2, 4,  5, 10, 20

In the spinner wheel, only 5 appears as a factor of 20

Since there are 3 numbers and each of them is equally likely, P(any number landing is) = 1/3

P(5) = 1/3

Answer: S = [tex]\frac{A}{2}[/tex] + [tex]\frac{3}{2}[/tex]

Step-by-step explanation: Isolate S by timesing it by 2, which means you have to times A and 3 by two and take S to the other side of the equation which makes the minus into a plus.

Answer:

[tex]S=\frac{A+3}{2}[/tex]

Step-by-step explanation:

The original equation is:

A=2S-3

But, we are now solving for S, so we have to isolate S.

To do this, we first must add 3 to both sides:

A+3=2S

Next, divide both sides by 2:

[tex]\frac{A+3}{2}=S[/tex]

Hope this helps! :)

Answer:

Height = 10 cm

Step-by-step explanation:

The volume of a pyramid can be found using the following formula:

[tex]\boxed{\large \textsf{$V=\frac{1}{3}Ah$}} \large \textsf{ where:}\\\\ \normalsize \textsf{$\bullet{\,V = $ volume of pyramid$}$}\\ \normalsize \textsf{$\bullet{\,A = $ base area$}$}\\ \normalsize \textsf{$\bullet{\,h = $ perpendicular height$}$}[/tex]

Note: in the question, it states that base area = 12 cm³, however, this is an error (typo), and the area is 12 cm², since area is only in 2 dimensions. length and width, whilst volume is in 3 dimensions. length, width, and height.

Now, we can plug in our data into the formula:

[tex]\large \textsf{$40=\frac{1}{3}12h$}\\\\ \large \textsf{$40=4h$}\\\\\boxed{\boxed{\large \textsf{$\therefore h = 10$ cm}}}\\[/tex]

Answer: 2

Step-by-step explanation:

Answer: 2,000,000 or 2*10^6

Step-by-step explanation:

10*10^9 = 10000000000

5*10^3 = 5000

10000000000/5000=2000000

[tex]10x10^9[/tex] = 10 x 1000000000 = 10,000,000,000

5 x 10^3 = 5 x 10 x 10 x 10 = 5,000

Divide 10 x 10^9 / 5 x 10^3 and the answer is

2 x 10^6

I hope this helps you, and if I did anything wrong to this problem, please do let me know :)

Answer:

Subtract the two diameters and multiply by 3107-11-05-20-05-task

Calculate the circumference of the coin.

Subtract the circumference of the hole from the circumference of the coin.

Calculate the radius of the hole.

Step-by-step explanation:

Firstly, you have to understand that if you talk about slope is a similar word gradient of the graph. So if you are calculating slope you have to use gradient formula:

m= Y2-Y1

X2-X1

therefore, in order for you getting first box & second box you have to use this formula above.

First box answer is:

Points fromthegraph (-2:-2) & (-3:-3)

m= Y2-Y1

X2-X1

m = -3-(-2)

-3-(-2)

m = 1

Second box answer is:

Points fromthegraph (3:3) & (4:4)

m= Y2-Y1

X2-X1

m= 4-3

4-3

m= 1

Third box answer is:

= 4

Forth box answer is:

= -3

Answer:

10.57 m

Step-by-step explanation:

Let the height of the parallelogram be x m

Area of the parallelogram = base*height

                                645    = (61 * x ) m

                                 x = 645/61

                                    = 10.57 m

Hope this helps

Height of parallelogram = 10.57m

Given,

Base of parallelogram = 61 m

Area of parallelogram = 645 m²

Now, according to formula

Area of parallelogram = Base × Height

Substitute the given values in the formula,

645 = 61 × height

Height = 10.57 m

Hence, the height of the parallelogram with area 645m² and base 61 m is 10.57 m  .

Know more about Parallelogram ,

https://brainly.com/question/1563728

#SPJ1

Answer:

x=+10

Step-by-step explanation:

I hope that helps I think it's the right answer if my calculations are correct it's +10

Answer: 5400

Step-by-step explanation: image attached

Answer:

5400

Step-by-step explanation:

we need to calculate the area of big box (prism).

volume = 4 1/2 X 5 X 3 3/4

= 84.375 in³.

volume of small cube = 1/4 X 1/4 X 1/4

= 0.015625 in³.

now we need to find how many of the small ones go into the big one.

84.375/0.015625

= 5400.

Step-by-step explanation:

an acute angle is less then 90 degrees, a right angle is 90 degrees, an obtuse angle is more than 90 degrees, a straight angle is 180 degrees, and a reflex angle is more than 180 degrees but less then 360 degrees

Answer:

If I am thinking correctly its 72.

Step-by-step explanation:

I multiplied 9 x 8 and I got 72, and if I remember correctly your supposed to multiply to get the area.

Hope this helps :>

With scatter plots.