In rectangle ABCD, AB = 10 cm and BC = 14 cm. If rectangle EFGH is the image after a dilation, which could be its side lengths?
EF = 6 cm and FG = 10 cm
EF = 7 cm and FG = 3 cm
EF = 15 cm and FG = 20 cm
EF = 25 cm and FG = 35 cm

Answer:

Hello! answer: 27

Step-by-step explanation:

3 × 3 = 9

9 × 2 = 18

9 + 18 = 27 therefore the area is 27 hope that helps!

Answer:

2.A   3.D     4.A

Step-by-step explanation:

You may want to check number four because I'm not sure. Radius is any length from the center of the circle to the edge of the circle. A sector is a piece of a circle, like a cut slice of pie or a slice of pizza.

Answer:

2. A

3. B

4. A

Step-by-step explanation:

Answer:

The highest common factor of 10 and 18 is 2

Step-by-step explanation:

10:  1,10,2,5

18: 1,18,2,9,3,6,

Look which is common in both of these and both of them have 2 in common.

The HCF of 10 and 18 is 2.

To find the highest common factor (HCF) of 10 and 18, we can determine the largest number that divides evenly into both of them.

We can start by listing the factors of each number:

Factors of 10: 1, 2, 5, 10

Factors of 18: 1, 2, 3, 6, 9, 18

From the lists, we can see that the common factors of 10 and 18 are 1 and 2.

To find the HCF, we select the largest common factor, which is 2. Therefore, the HCF of 10 and 18 is 2.

The HCF represents the largest number that divides evenly into both given numbers, without leaving any remainder. In this case, 2 is the highest common factor, as it is the largest number that can divide both 10 and 18 without leaving any remainder.

To learn more about the greatest common factor;

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Answer:

The arc length of the entire circle would be 2*PI*9

We need to know the arc length of 1/3 of the circle so we calculate

arc length = (2 * PI * 9) / 3

arc length = 2 * PI * 3

arc length = 6 * PI

arc length = 18.8495559215

Step-by-step explanation:

Answer:  (x,y) = (-1, 1)

This means that x = -1 and y = 1

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Explanation:

The first equation says that y is the same as 2x+3

That allows us to substitute y for 2x+3 in the second equation like so:

2x+5y = 3

2x+5( y ) = 3

2x + 5(2x+3) = 3 .... y replaced with 2x+3

2x+10x+15 = 3

12x+15 = 3

12x = 3-15

12x = -12

x = -12/12

x = -1

Then we'll substitute this into the first equation to find y

y = 2x+3

y = 2(-1) + 3 .... x replaced with -1

y = -2+3

y = 1

Together x = -1 and y = 1 pair up to form the ordered pair solution (x,y) = (-1,1)

If you were to graph y = 2x+3 and 2x+5y=3 on the same xy grid, then you should see that the two lines intersect at the location (-1,1). This is a visual way to determine the solution quickly through use of a graphing calculator.

Answer:

B

Step-by-step explanation:

6×8 /2 = 24

24 ×12 /3 = 96 units³

Answer:

m = $6.5

s = $3

Step-by-step explanation:

Raul ordered 1 small photo enlargement and 4 medium photo enlargements for $29. Patricia ordered 5 small photo enlargements and 2 medium photo enlargments for $28. determine the price of the small photo enlargements and medium photo enlargments

two equations can be derived from the question

s + 4m  = 29 equation 1

5s + 2m = 28 equation 2

where

s = small photo enlargements

m = medium photo enlargements

multiply equation 1 by 5

5s + 20m = 145 equation 3

subtract equation 2 from 3

18m = 117

m = 6.5

substitute for m in equation 1

s = 29 - (4 x 6.5)

s = 3

Answer:

B. The average high temperature in Death Valley was greater than the average in Boise

C. The variation of high temperature in Death valley was about the same as the variation in Boise

Step-by-step explanation:

Step 1: In a normal distribution, about 95% of the values are ±2 standard deviations from the mean. ±2 standard deviation from the mean high temperature of Boise is 39.1 to 65.1. Therefore, option A is wrong

Step 2: The average temperature high temperature of each of the places isngiven by their mean high temperatures.

The mean high temperature in Boise, Idaho, was 52.1°F while the mean high temperature in Death Valley, California, was 81.9°F.

Difference between the mean high temperatures is (81.9 - 52.1) = 29.8°F

Therefore, the average high temperature in Death Valley was greater than the average in Boise. Option B is correct.

Step 3: Standard deviation measures how spread out data is. It is a measure of variation of data.

The standard deviation of the high temperature in Boise, Idaho was 6.5° F, while the standard deviation of the high temperature in Death Valley, California was 6.4° F. This two values are about the same. Therefore, option C is correct.

Step 4: In a normal distribution, about 68% of the values are ±1 standard deviations from the mean. ±1 standard deviation from the mean high temperature of Death Valley is 75.5 to 88.3. Therefore, option D is wrong

Step 5: In a normal distribution, about 99.7% of the values are ±3 standard deviations from the mean. ±3 standard deviation from the mean high temperature of Boise is 32.6 to 71.6. Therefore, option E is wrong

the answer should be 14√2

edit: its 28 over 2

Answer:

26m

Step-by-step explanation:

The value of the opposite side (height of the flagpole) is to be determined given the angle and the value of the adjacent side(horizontal distance )

We would use tan 18 to determine the value of the missing side

tan 18 = opposite / adjacent

0.3249 = opposite / 80

0.3249 x 80 = 26m

please find attached a graphical interpretation of this question

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Margi has 6 square tiles of equal size. each side of each tile is 0.8 inch long. If Margi places all the tiles in a row with sides touching, how long is the row?

—————————————————

[tex]\mathrm{N = 6×0.8 \: inch}[/tex]

[tex]{\boxed{\mathrm\green{N = 4.8 \: inch}}}[/tex]

—————————————————

[tex]\purple{\boxed{\boxed{\tt\pink{➢4.8 \: inch}}}}[/tex]

Answer:

9

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

2e12

Step-by-step explanation:

Step-by-step explanation:

-x²-8x=15

=> -x²-8x-15= 0

<=> x2+8x+15=0

(x+5)(x+3)=0

x= -5 or x = -3

Answer:

[tex]\sqrt{80}[/tex]

Step-by-step explanation:

a^2+b^2=c^2

8^2+x^2=12^2

64+x^2=144

x^2=80

[tex]\sqrt{80}[/tex]

Step-by-step explanation:

12 hypotenuse and let us say 8 is the 'a'

=>64+x²=144

=>x²=144–64

=>√x²=√80

=>x=4√5

Answer:

x = -6

Step-by-step explanation:

1/3(x-9)=2x+7

1/3x - 3 = 2x + 7

-5/3x = 10

x = -6

Answer:

solution of what ? you mean the crossing point of both lines ?

that is (6,1) as the graph shows

Step-by-step explanation:

you can see x=6 and y=1.

that is then the point (6,1).

we could also define the equations of both lines and then calculate the value of x, where both equations deliver the same (y) value.

but for that we would need to get the (x,y) coordinates of the 4 marked points in the same way we got them for the crossing point already. waste of time and effort.

Answer:

[tex]B)~g(x)=(2x)^{2}[/tex]

Step-by-step explanation:

g(1)=(2(1))²

= 2²

=4

g(x)= (2x)²

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

hope it helps...

have a great day!!

If the given function is f(x)=x², the value of g(x) will be (2x)².

Each value in the domain is connected to exactly one value in the range according to the function, which is described as a specific form of relationship. They have a predetermined range and domain.

It is given that the coordinate values are (1.4).

For the given function,

g(1)=(2(1))²

g(1)= 2²

g(1)=4

Since g(x)= (2x)² satisfies the given coordinate values it will be the obtained result.

Thus the obtained function will be g(x)= (2x)².

Learn more about the function here:

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Answer:350

Step-by-step explanation:

Just take away 9,550 - 9,200 = 350

Answer:

El total que la señora Rina pagó por sus frutas, en términos de b, es:

Step-by-step explanation:

Para resolver este ejercicio, primero sacaremos las variable que nos brindan:

Ahora, nos centraremos en la compra realizada por la señora Rina, donde se menciona que:

Ahora, como si esto fuera una ecuación, vamos a reemplazar las manzanas y las peras por las variables que tenemos de su costo:

Y procedemos a operar:

Por lo tanto, la compra de la señora Rina, en términos de b, le ha costado 5b - 7.

Answer:

[tex]consider : (7, 0) \: and \: (0, 70) \\ m = \frac{(70 - 0)}{(0 - 7)} \\ m = - 10 \\ y = mx + c \\ 0 = ( - 10 \times 7) + c \\ c = 70 \\ \therefore \: \: y = - 10x + 70[/tex]

Answer:

uh I'd dint get the quss tho

area of a rectangle = length × breadth

= 2 × (n - 3)

= 2n - 6

so this this the answer? lemme know in the comments. plz

Answer: Hi I think that I can help you with your problem!

Let  which means

Here a bar over 8 means that there the given decimal value is non terminating and there are a large numbers of 8 present after the decimal.

To solve the given non terminating decimal as fractions, we will have to eliminate the bar term from the given value.

So, we can rewrite  as:

......(1)

Now, let us multiply the above with 10.

....... (2)

Now, let us subtract (1) from (2):

So, in simplified fractions:

Step-by-step explanation:

Answer:

The person is adding the numbers in the tenth place and carrying the leftover ten over onto the one's place.

Step-by-step explanation:

Answer:

Not enough info

Step-by-step explanation:

Find the length from the school to the community center (this is the shortest route).

2^2+7^2 = c^2

c = sqrt(53)

The amount of time the trip takes depends on how long it takes Miguel to walk one city block.

sqrt(53)*lengthOfTimeForOneCityBlockInMinutes = the minimum time.

Answer:

2571.14 m^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

The diameter is 17 so the radius is 1/2 of the diameter or 17/2 =8.5

V = 4/3 (3.14) (8.5)^3

 = 2571.13666

Rounding to the nearest hundredth

 = 2571.14 m^3

=================================================

Work Shown:

V = (4/3)*pi*r^3

V = (4/3)*3.14*(8.5)^3

V = 2571.13666666667 which is approximate

V = 2571.14

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Notes:

Answer:

27

Step-by-step explanation: