Rectangle ABCD was dilated to create rectangle A’B’C’D’. The area of rectangle ABCD is 16 in and the area of the rectangle A’B’C’D’ is 64 in. Which scale factor was used to dilate the rectangle?

A.2
B.4
C.8
D.16

Answer:

Let x represent the edge dimension of the square base in feet. Then the area of the base or lid is x², and the height of the box is 5/x². Total cost is then ...

... cost = cost of lid + 4×(cost of one side) + cost of bottom

... cost = 0.2x² + 4×(0.2x(5/x²)) + 0.5x²

... cost = 0.7x² + 4/x

We can differentiate this with respect to x and set that derivative to zero. This will give us the x-value at which the cost is a minimum.

... d(cost)/dx = 1.4x -4/x² = 0

... x³ = 4/1.4

... x = ∛(20/7) ≈ 1.419

Then the height of the box is

... height = 5/x² ≈ 5/2.01351 ≈ 2.483

The box is 1.491 ft square and 2.483 ft high.

______

The average cost of the top and bottom is (0.2 +0.5)/2 = 0.35 per square foot. The overall cost will be minimized when the average cost of each face is the same. That is, the areas of the lateral faces will be equal and must be 0.35/0.2 = 1.75 times the area of the top or bottom to make the average cost of a lateral face equal to that of the top or bottom. Hence, the base will be square, and the box will be 1.75 times as high as it is wide or deep. The base edge dimension is then ∛(5/1.75) ≈ 1.419 ft.

Step-by-step explanation:

Answer:

B 66%

Step-by-step explanation:

100% (total) - 34% (P(not landing on blue)) = 66%

Answer:

i believe it should be A

Step-by-step explanation:

Answer:

3 yrs

Step-by-step explanation:

1st year=600*1.05=630

2nd year=630*1.05=661.5

3rd year=661.5*1.05=794.57

Answer:

is something supposed to be there

Step-by-step explanation:

Answer:

41% & 45%

Step-by-step explanation:

A fraction consists of two numbers and a fraction bar:

41/45

The number above the bar is the numerator: 41

The number below the bar is the denominator: 45

Divide the numerator by the denominator to get fraction's value:

Val = 41 ÷ 45

Answer:

2

Step-by-step explanation:

the midian is the middle

Given : 2, 3, 8, 9, 2, 4, 7, 2 .

To Find: Median of data .

Solution : Firstly arranging the data in ascending order we get , 2 , 2 , 3 , 4 , 7 , 8 , 9 . Here number of terms = 7 .

So the median will be the middlemost value.

Here the middle most value is 4 .

Therefore the median is 4 .

Answer:

the ft is 97.3 repeating or 1168 inches

Step-by-step explanation:

Answer:

the first one..... the second one.... and the fourth one :) im not really sure but this is NY closest to right.

Answer:

x^2 -8x -65

Step-by-step explanation:

Answer:

x^2-8x-65

Step-by-step explanation:

FOIL it out

Answer: D. 48in²

Step-by-step explanation:

[tex]A=\frac{1}{2}bh\\A=\frac{1}{2}(16)(6)\\A=48in^{2}[/tex]

Answer:

673.6? ur supposed to divide right?

a) a+b=b+a

the commutative property of whatever number is it turned around

b) a * b= b*a

the commutative property of whatever number is it turned around

c) b+0=b

the additive property is whatever adds to zero is that number.

d) b*1=b

the multiplication property of one is whatever mutilply by 1 is that number.

Answer:

In your head, you can convert the fraction 3/12 into a decimal. So divide 3 by 12 and you would get 0.25. I hope this helps :)

Step-by-step explanation:

Answer:

19.7

Step-by-step explanation:

64 miles converts to 3.25 inches on the map

64/3.25 = 19.7 mi/inch

The small squares represent 30 (each one is equal to 10) if the 2 rows of squares represent  200, if the two rows of 10 squares only represent 20 becuase 10+10=20 then the squares equal 210 (each square equals 70)

Answer:

It is ten

Step-by-step explanation:

The solution is, The Volume is 523.6, of the sphere has a radius of 5 feet.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

Given,

r = 5 ft

pi = 3.14

Formula

the volume of sphere is:

V = 4/3 * 3.14 * r^3

Solution

V = 4/3  * 3.14 * 5^3

V = 4/3 * 3.14 * 125

V ≈ 523.59878

V ≈ 523.6 m^3

as, we get,

V≈523.59878

and 5 or more raise the score so the 9 makes the 5 into 6 and drop all of the other numbers.

Hence, The solution is, The Volume is 523.6, of the sphere has a radius of 5 feet.

To learn more on volume click :

brainly.com/question/1578538

#SPJ2

Answer:

3x+6

Step-by-step explanation:

Okay so the reason behind this is the 3 x blocks then we have 6 one blocks which is how you would get answer.

Answer:

B) 140

Step-by-step explanation:

August 8: 20 tickets

August 10: 20 tickets

August 11: 25 tickets

August 12: 40 tickets

August 13: 35 tickets

Added all together, it's 140 tickets sold.  So, Option B is correct.

Hope this helps! :)

Answer:

10 C

Step-by-step explanation:

easy put 50 for F

Answer:

i would say 48

Step-by-step explanation:

Answer:

The answer is 16.

Step-by-step explanation:

Formula: B*h÷2

Base = 8

Height = 4

8*4 = 32

32÷2 = 16

Answer:

Both angles add up to 90° so they are complementary angles, x = 55

Step-by-step explanation:

=> We know that both angles add to 90°, so the equation will be;

(x - 20) + (x) = 90

=> Using algebra if solved all the way down, "x" will be 55.

Hope this helps!

Answer:

Both -1.5 and -3/2 will be halfway between -2 and -1 on the number line. 3/2 will be halfway between 1 and 2. -4/3 will be between -1.5 and -1.

Answer:

Well I can’t really do anything, the best thing I can tell you is that for each number, look at each option and Plot it from there.

You can turn all these into decimals since the number line is a whole number line and decimals are easier to work with in this situation then fractions. So you would have

-1.5, 1.5, -1.5, and -1.33333...

So -1.5 and -3/2 are the same so thats one plot, that would go between -1 and -2.

1.5 goes between 1 and 2

And -1.333...goes more closer to -1 between -2 and -1

Answer: the answer is c

Step-by-step explanation:

Because I did the test

Answer:

C

Hope This Helps!

Answer: It would be Second leg = 15

Step-by-step explanation:

From my understanding, you are supposed to find the second leg of the right triangle by Pythagoras theorem.

Hypotenuse: 25

One leg: 20

Second leg: x

Pythagoras theorem: hypotenuse² = adjacent² + opposite²

c² = a² + b²

25² = 20² + b²

b² = 25² - 20²

b² = 625 - 400

b² = 225

b = √225

b = 15

Therefore, the second leg of the right triangle is 15.

Answer:

D. Marcia is stopping to rest

Step-by-step explanation:

At intervals B to C, we can see that Marcia's distance from home has not risen nor dropped. We can safely assume that she is not moving. Of course, time has not stopped, because the line continues to move from left to right. So, Marcia is likely stopping to rest for a moment.

Have a nice day, fam. Spread The Love.

Letter C, E, and F: 2 8/10, 2.8, and 28/10

Step-by-step explanation: The shaded pillars/rectangles inside the squares account for the fractions. In this question, there are 10 pillars per square and 2 shaded in squares. Since there are two full squares, there are two wholes. In the third block, there are only 8 shaded. Because 8 out of ten are shaded, the fraction would be 8/10 (said as eight tenths). Overall, there are two wholes (the shaded squares) and 8/10 of a whole. Therefore, it is 2 8/10. 0.8 equals 8/10 (you can determine it by the way it is said ex: you would say “zero and ...” (and = decimal) “... eight tenths” or just “eight tenths” for .8, and 8/10 is said the same way). Since 2.8 and 2 8/10 are equal, 2.8 would also be an answer. 28/10 would be another correct answer because the two wholes/squares each have 10 pillars. In total, there are 20 pillars for the two wholes. If the 8/10 (8 out of 10) is added, the total would be 28/10. Hope this helps!

Answer:

Step-by-step explanation: