Which composition of similarity transformations would
map polygon ABDC to polygon A'B'D'O'?
a dilation with a scale factor greater than 1 and then
a translation
a dilation with a scale factor greater than 1 and then
a rotation
a dilation with a scale factor less than 1 and then a
reflection
a dilation with a scale factor less than 1 and then a
transation​

Answer:

[tex]\frac{19}{44}[/tex]

Step-by-step explanation:

The ratio of width : length = [tex]\frac{57}{132}[/tex]

To simplify divide ( cancel ) the numerator/ denominator by 3

= [tex]\frac{19}{44}[/tex] ← in simplest form

The time spent for reading is 31.3 minutes

Solution:

You read 9.75 pages in your science book and 24.5 pages of a play for English class

Therefore,

Number of pages read in science = 9.75

Number of pages read in play = 24.5

Also given that,

Time taken to read each page of science = 1.2 minutes

Time taken to read each page of play = 0.8 minute

To find: Time spent for reading

Time spent for reading = Number of pages read in science x Time taken to read each page of science + Number of pages read in play x Time taken to read each page of play

[tex]Time\ spent\ for\ reading = (9.75 \times 1.2) + (24.5 \times 0.8)\\\\Time\ spent\ for\ reading = 11.7 + 19.6\\\\Time\ spent\ for\ reading = 31.3[/tex]

Thus time spent for reading is 31.3 minutes

To find the total amount paid for the car after 2 years, we use the compound interest formula [tex]A = P(1 + r)^n[/tex], where P is the initial loan amount, r is the interest rate, and n is the number of years. Substitute in the given values to calculate the final amount.

To calculate the total amount paid for the car after 2 years, we apply the formula for compound interest. The formula is[tex]A = P(1 + r)^n[/tex], where A is the final amount, P is the principal (or initial amount), r is the interest rate, and n is the number of periods. In this case, P = $54200, r = 15.1% or 0.151, and n = 2.

Plugging these values into the formula:

[tex]A = $54200 * (1 + 0.151)^2[/tex].

Once you solve the equation, you will find the total amount paid for the car after 2 years.

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Final answer:

Using the compound interest formula, you will have paid $71,787.31 for a $54,200 car loan at 15.1% interest compounded annually after 2 years.

Explanation:

To calculate the total amount paid for a car after 2 years on a loan of $54,200 with an interest rate of 15.1% compounded annually, we'll use the formula for compound interest:

[tex]A = P (1 + r/n)^{(nt)}[/tex]

Where:

For this car loan:

Substitute the values into the formula:

A = $54,200 (1 + 0.151/1)^(1*2)

A = $54,200 (1 + 0.151)^2

A = $54,200 (1.151)^2

Calculate the amount:

A = $54,200 * (1.151)^2

A = $54,200 * 1.324301

A = $71,787.31

After 2 years, you will have paid $71,787.31 for your car.

Answer: 13.8 cm

Step-by-step explanation:

Assuming the cube is the cube shown in the attached image, its diagonal is [tex]x[/tex].

Now, for a cube which each side is [tex]a[/tex], its diagonal is given by the pithagorean theorem:

[tex]x=\sqrt{a^{2}+d^{2}}[/tex] (1)

Where [tex]d[/tex] is the hypothenuse of the right triangle formed in one of the cube's faces:

[tex]d=\sqrt{3}a[/tex] (2)

Then the formula for the diagonal is:

[tex]x=\sqrt{a^{2}+(\sqrt{3}a)^{2}}[/tex] (3)

[tex]x=\sqrt{3}a[/tex] (4)

If [tex]a=8 cm[/tex]:

[tex]x=\sqrt{3}8 cm[/tex] (5)

Finally:

x=13.8 cm

The equation that represents a line passing through (-2, 4) and has a slope of 2/5 is Oy+4 = (x-2).

The equation that represents a line passing through (-2, 4) and has a slope of 2/5 is option B:

Oy+4 = (x-2)

To understand why this equation represents the line, we can use the slope-intercept form, y = mx + b, where 'm' is the slope and 'b' is the y-intercept. The given slope is 2/5, so the equation becomes y = (2/5)x + b. Plugging in the coordinates of the point (-2, 4), we can solve for 'b' and find that it is 4. Therefore, the equation representing the line is y = (2/5)x + 4.

Answer:

-6.5-2=-8.5

Step-by-step explanation:

no working out needed that is as simple as it gets mate

Answer:

7/15

Step-by-step explanation:

You can put in your graphing calculator if you have one

Answer:

Step-by-step explanation:

Answer:

34.09269

Step-by-step explanation:

Answer: 6 x (18-9) = 54

Step-by-step explanation: 18-9 is 9 and 6 times 9 is 54

Answer:

Nine ones  =  one hundred and eleven million one hundred and eleven thousand and one one hundred and eleven.

Step-by-step explanation:

i) nine ones equals = 111,111,111 which is one hundred and eleven million one hundred and eleven thousand and one one hundred and eleven.

Answer:

Step-by-step explanation:

1 ft = 250 feet....so 2.5 ft = (2.5 * 250) = 625 feet <==

The actual length of airplane using the scale factor is; 625 feet.

The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.

We are given that;

Length of Airplane = 2.5 feet

Now, we want to find the actual length of the airplane with a scaled length of 2.5 feet.

1 foot = 250 feet,

Thus, the actual length of airplane= (2.5 x 250)

the actual length of airplane= 625 ft

Hence, The actual length of airplane using the scale factor is; 625 feet.

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Answer:

Step-by-step explanation:

when the outlier is removed, the mean increases.....the removing of the outlier does very little to the median or mode.

example :

1,2,3,4,5

mean = 15/5 = 3......median = 3

now throw in an outlier..

1,2,3,4,5,50

mean = 65/6 = 10 5/6.....median = (3 + 4) /2 = 7/2 = 3.5

as u can see, it drastically affects the mean...and does little to the median

ur answer is A

Answer:

A

Step-by-step explanation:

Answer:

[tex]p \geqslant - 14[/tex]

Step-by-step explanation:

[tex] \frac{p}{2} \geqslant - 7 \\ p \geqslant - 14[/tex]

Answer:

A

Step-by-step explanation:

It would be A because it’s a negative 20, meaning he’s losing money while 15d represents how many dogs he’s walking and the cost of it.

Answer:

"D" (and any subsequent words)

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

Answer:

The width of the smaller rectangle is 5 centimeters

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of the smaller rectangle

y ----> the area of the larger rectangle

[tex]z^{2}=\frac{x}{y}[/tex]

we have

[tex]x=16\ cm^2\\y=100\ cm^2[/tex]

substitute

[tex]z^{2}=\frac{16}{100}[/tex]

square root both sides

[tex]z=\frac{4}{10}[/tex]

step 2

Find the width of the larger rectangle

we know that the area is equal to

[tex]A=LW[/tex]

we have

[tex]A=100\ cm^2\\L=8\ cm[/tex]

substitute

[tex]100=8W\\W=12.5\ cm[/tex]

step 3

Find the width of the smaller rectangle

To find out the width of the smaller rectangle, multiply the width of the larger rectangle by the scale factor

so

[tex]12.5(\frac{4}{10})=5\ cm[/tex]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]f(x)=(x-3)^2+5[/tex]

This is a vertical parabola open upward (the leading coefficient is positive)

The vertex represent a minimum

The vertex is the point (3,5)

The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

so

[tex]x=3[/tex] ---> axis of symmetry

Find the y-intercept (value of f(x) when the value of x is equal to zero)

For x=0

[tex]f(x)=(0-3)^2+5=14[/tex]

The y-intercept is the point (0,14)

Find the x-intercept (values of x when the value of f(x) is equal to zero)

For y=0

[tex]0=(x-3)^2+5[/tex]

[tex](x-3)^2=-5[/tex] ---> has no real solutions

The function has no x-intercepts (The roots of the quadratic equation are complex numbers)

therefore

The graph in the attached figure

The length of FD = 0.76 feet.

Step-by-step explanation:

Given that in ΔDEF, the angle F measures 90° and the angle D measures 83° and EF=6.2 feet

To find the length of FD, let us use the tangent function. The tangent of an angle is the length of opposite side divided by the length of the adjacent side.

[tex]\tan \theta=\frac{o p p}{a d j}[/tex]

From the given data, θ=83°, [tex]o p p=6.2[/tex] and [tex]a d j=x[/tex]

Substituting these values in the tangent formula, we get,

[tex]\begin{array}{r}{\tan \theta=\frac{o p p}{a d j}} \\{\tan 83^{\circ}=\frac{6.2}{x}}\end{array}[/tex]

Using calculator, the value of [tex]\tan 83^{\circ}=8.14[/tex] and substituting and solving the equation, we get,

[tex]\begin{aligned}8.14 &=\frac{6.2}{x} \\x &=\frac{6.2}{8.14} \\x &=0.76\end{aligned}[/tex]

Thus, the length of FD = 0.76 feet.

15% of the collection was comedies.

Step-by-step explanation:

Given,

Number of comedies = 6

Number of westerns = 10

Number of romance = 14

Number of horror = 3

Number of mysteries = 7

Total = 6+10+14+3+7= 40

Percent of comedies = [tex]\frac{Number\ of\ comedies}{Total\ number}*100[/tex]

Percent of comedies = [tex]\frac{6}{40}*100=\frac{600}{40}[/tex]

Percent of comedies = 15%

15% of the collection was comedies.

Keywords: percentage, addition

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First, turn both fractions into improper fractions.

1 1/6 = 7/6

2/5 = 2/5

Second, multiply.

7/6 * 2/5 → 7*2/6*5 → 14/30

Third, Simplify.

14/30 → 7/15

Best of Luck!

Answer:

Make mixed number into an improper fraction.

Then multiply

14/30

= 7/15

To determine the number of scoops of corn needed to feed different numbers of deer, we can use proportional reasoning. However, since the table mentioned in the question is missing, we can't find the exact values.

To determine the number of scoops of corn needed to feed a certain number of deer, we can use the information given in the table. Let's analyze the information provided:

Unfortunately, the table mentioned in the question is missing, so we can't use it to find the exact number of scoops needed. However, if we assume that the ratio of scoops to deer is consistent, we can use proportional reasoning to find the missing values. For example, if it takes 2 scoops to feed 5 deer, then 4 scoops will be needed to feed 10 deer.

Answer:

1.728 is the correct answer

Question :

The sum of three consecutive odd integers is 201. Find the integers.

Answer:

The Integers are 65,67,69.

Step-by-step explanation:

Let x be any number. when it is multiplied by 2 it becomes an even number.

So, 2x is an even number. Now adding an odd number to 2x , it becomes an odd number

so

First odd number be 2x+1

Second  odd number be 2x+3

Third odd number be  2x+5

Now the sum of these three odd number gives 210,

That is

(2x+1) +(2x+3) +(2x+5) = 201

2x+1+2x+3+2x+5 =201

6x + 9 = 201

6x = 201- 9

6x = 192

[tex]x =\frac{192}{6}[/tex]

x = 32

Hence

The first odd number is  (2x+1) = (2(32)+1) = 64+1 =65

The second odd number is  (2x+3) = (2(32)+3) = 64+3 =67

The third  odd number is  (2x+1) = (2(32)+5) = 64+5 =69

Answer: D?

Step-by-step explanation:

The points that represent the relationship are (2,4), (5,7), (7,9).

Step-by-step explanation:

1. It is given that Brent was always 2 meters in front of Joel.

2. In the first case, when Joel is at 2 meters, Brent will be 2 meters in front of that, i.e. at 2 meters + 2 meters = 4 meters. Hence, when Joel is at 2 meters distance from the school, Brent will be at 4 meters distance from the school. Hence, the point on the coordinate grid is (2,4) here.

3. Similarly, in the second case, when Joel is at 5 meters, Brent will be 2 meters in front of that, i.e. at 5 meters + 2 meters = 7 meters. Hence, the point on the coordinate grid is (5,7) here.

4. Similarly, in the third case, when Joel is at 7 meters, Brent will be 2 meters in front of that, i.e. at 7 meters + 2 meters = 9 meters.  Hence, the point on the coordinate grid is (7,9) here.

(a) The volume of the swimming pool is 330 m³

(b) The surface area of the model swimming pool is 30.25 cm².

(a) The volume of the swimming pool is calculated by applying the following formula as follows;

V = Ah

where;

V = 300 m² x 1.1 m

V = 330 m³

(b) The surface area of the model swimming pool is calculated by applying the following formula;

Assuming the model swimming pool is a square.

S.A = L²

S.A = 5.5 cm x 5.5 cm

S.A = 30.25 cm²

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Answer:

Earnings of Chris that week = US$ 712.65

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Chris' salary = US$ 6 per hour + 0.9% commission (0.009)

A week Chris worked 32 hours and sold 2 cars priced $ 26,700 and $ 31,150

2. How much did he make that week?

Earnings of Chris that week = (32 * 6) + (26,700 * 0.009) + (31,150 * 0.0009)

Earnings of Chris that week = 192 + 240.30 + 280.35

Earnings of Chris that week = US$ 712.65

Answer:

a)3.89 b)0.5%

Step-by-step explanation:

389%= 389/100

0.005*100%

=0.5%