Find the scale factor of a cube with volume 216 ft^3 to a cube with volume 1000 ft^3.

Answers

Answer 1

Answer:

Scale factor of  cube to the smaller cube is 5 : 3.

Step-by-step explanation:

Ratio of the volumes of two cubes = [tex]\frac{\text{volume of large prism}}{\text{Volume of small prism}}[/tex]

                                                          = [tex]\frac{1000}{216}[/tex]

                                                          = [tex]\frac{125}{27}[/tex]

Scale factor of these cubes = [tex]\sqrt[3]{\text{ratio of the volumes of the cubes}}[/tex]

                                              = [tex]\sqrt[3]{\frac{\text{volume of large prism}}{\text{Volume of small prism}}}[/tex]

                                              = [tex]\sqrt[3]{\frac{125}{27} }[/tex]

                                              = [tex]\frac{5}{3}[/tex]

                                              = 5 : 3

Therefore, scale factor of  cube to the smaller cube is 5 : 3.


Related Questions

An electrician has a piece of wire that is 4 and 3/8 centimeters long. She divides the wire into pieces that are 1 and 2/3 centimeters long. How many pieces does she have?

Answers

Answer:

She has approximately 3 pieces ( 2.625)

Step-by-step explanation:

To get the number of pieces, we need to divide the length of the wire by the individual length of the pieces.

To get the division done, it would be easier to convert what we have into improper fractions

For the piece of wire, the length which is 4 and 3/8 centimeters long will be 35/8 centimeters

while;

the individual length of each of the piece which is 1 and 2/3 centimeters long will be 5/3 centimeters

The number of pieces is thus 35/8 divided by 5/3 = 35/8 * 3/5 = 21/8 = 2.625 which is approximately 3 pieces

What is the value of 6[4-9.47?
-36
-33
-32
-30

Answers

Answer:

No the right answer is

Step-by-step explanation:

-36

The value of the expression A = 6[4-9.47] is A = -33

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 6 [ 4 - 9.47 ]

On simplifying , we get

A = 6 ( -5.47 )

On further simplification , we get

A = 6 x -5.47

A = -32.82

On rounding the value of A , we get

A = -33

Therefore , the value of A is -33

Hence , the equation is A = -33

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ7

Which equation can be used to solve for x?
Choose from the Equation Bank please

Answers

Answer:

X=1/2*24

Step-by-step explanation:

X=1/2*24

X=1/2*24

solve for x. 12x+252=324

Answers

Answer:

x = 6

Step-by-step explanation:

12x+252=324

Subtract 252 from each side

12x+252-252=324-252

12x =72

Divide each side by 12

12x/12 = 72/12

x =6

Answer:

the answer is attached to the picture

Correct answers only!


To the nearest cent, how much interest will she earn in 3 years?


Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

$5180.12

Step-by-step explanation:

B=4000(1+0.09)^3

Answer:

885.1

Step-by-step explanation:

p = 3000

r = 9/100 = 0.09

t = 3 years

B = 3000 * (1+ 0.09)^3

B = 3000 * (1.09)^3

1.09^3 = 1.09*1.09 * 1.09 = 1.295

B = 3000 * 1.295

B = 3885.10

So the interest is Balance - principle =  3885.1 - 3000 = 885.1

Solve for x
x/4 = 3/8

Give your answer as an improper fraction in its simplest form.

Answers

Answer:

[tex] x = \frac{3}{2} [/tex]

Step-by-step explanation:

[tex] = > \frac{x}{4} = \frac{3}{8} \\ \\ = > x = \frac{3}{8} \times 4 \\ \\ = > x = \frac{3}{2} [/tex]

ASAP

Which of the following is a solution for the inequality 2x < 9?


x = 6

x = 5.5

x = 4.5

x = 4

Answers

Answer:

4

Step-by-step explanation:

2×4 is the only one that equals less than 9, 2× 4.5 is 9, 2×5.5 is 11, 2×6 is 12, and the question is trying to get below 9, so 4 is the only answer that can get below 9

Find the volume of the rectangular pyramid below.

Answers

Answer:

4800m³

Step-by-step explanation:

V=[tex]\frac{lwh}{3}[/tex]=[tex]\frac{(30)(24)(20)}{3}[/tex] =4800

Troy puts $200.00 into an account to use for school expenses. The account earns 7% interest, compounded annually. How much will be in the account after 5 years? Use the formula A=P1+ r n nt, where A is the balance (final amount), P is the principal (starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years. Round your answer to the nearest cent.

Answers

Answer:

the final amount is = $280.51

Step-by-step explanation:

The standard formula for compound interest is given as;

A = P(1+r/n)^(nt) .....1

Given that;

Principal P = $200

Interest rate r = 7% = 0.07

Time t = 5 years

Final amount = A

Number of time compounded per year n = 1

Substituting the values;

A = 200(1+0.07/1)^(1×5)

A = 280.51

Therefore, the final amount is = $280.51

Please help!!! Keep in mind the triangles aren’t to scale!!!

Answers

Answer = 5

I don't feel like explaining it.

Apply the distributive property to factor out the greatest common factor.
35 + 14 =

Answers

Answer:

2(5+2)

Step-by-step explanation:

The greatest common factor would be 7. So now 35/7 is 5 and 14/7 is 2. Now put it in distributive property! GCF on the outside and the new numbers we just got in the inside. There's your answer! Have a great day! :)

the peach festival charges $5 for admission then$1.25 per pound of peaches picked. If Savanna went to the festival and picked 2.4 pounds of peaches,how many did she pay in total at the festival?

Answers

Answer:

I'm glad you asked!

Step-by-step explanation:

So let's do it step by step.

Already she has to pay $[tex]5[/tex] for going in.

She has [tex]2[/tex] whole pounds.

[tex]1.25[/tex] x [tex]2=2.5[/tex] or [tex]2 \frac{1}{2}[/tex]

Add $[tex]5[/tex] and $ [tex]2.5[/tex] .

[tex]5+2.5 = 7.5[/tex]

Now let's do $1.25 divided by 10.

[tex]$[/tex]$[tex]1.25[/tex] divided by $[tex]10[/tex] [tex]=0.125[/tex]

Now let's do [tex]0.125[/tex] times [tex]4[/tex]

[tex]0.125[/tex] x [tex]4 = 0.5[/tex]

Now let's add 7.5 to 0.5

[tex]7.5+0.5=8[/tex]

Solve for x:
8x + 36°
5x + 60°​

Answers

hope it help you..if it help then plz mark as brainliest

what is the length of the diagonal of the rectangle?
A) 29.75
B) 10.625
C) 126.4375
D) 21.25

With sides of 12.75 and 17 on the bottom.

Answers

Answer:

21.25

Step-by-step explanation:

We can use the Pythagorean theorem since we know the legs

a^2+b^2 = c^2

12.75 ^2 + 17^2 = c^2

162.5625+289= c^2

451.5625 = c^2

Take the square root of each side

sqrt(451.5625) =sqrt( c^2)

21.25 = c

Answer: the answer will be 21.25

Step-by-step explanation:

when would you a subtract in an expression​

Answers

Answer:

You would need to subtract when:

Step-by-step explanation:

If there is a negative number like 4 -5

If there is a parentheses,

A subtraction sign.

Hope this helps you.

Your friend standing on a 45 foot balcony. He asks you to throw a baseball up to him. You throw a baseball with an initial upward velocity of 50 ft./s. Assuming that you released the baseball 6 feet above the ground, did it reach your friend? Explain.

Answers

Vertical motion formula is h = -16t^2 +vt +s where v is initial velocity and s is starting height:

h = -16t^2 + 50t +6

Solving for t: -50/-32 = 1.5625 seconds to reach maximum height.

Now replace t  and solve for h ( maximum height)

h = -16(1.5625)^2 +50(1.5625) + 6

h = 45.0625

The value for h is greater than the height of the balcony, so yes the ball reached  the friend.

What is the exact distnace from (-5, 1) to (3, 0)?
A) square root of 63
B) square root of 65
C) square root of 67
D) square root of 69

Answers

Answer:B

Step-by-step explanation:

Sq rt. (0-1)^2+(3- -5)^2

(1)^2+(8)^2

1+64=65

Step-by-step explanation:

B) square root of 65

.................

EXERCISE 2 (4
expresss the following in exponential form (ii) 3/8×3/8×3/8×3/8×38​

Answers

Answer:

3/8^4*38

Step-by-step explanation:

Simplify: 3x – 5 + 23x – 9
a. 2(14x -6)
b. 3x(13x-6)
c. 2(13x -7)
d. 3x(13x - 5)

Answers

Step-by-step explanation:

3x-5+23x-9

26x-5-9=26x-14

2(13x-7)

Answer :

C

Step-by-step explanation:

(a+b)(a-b) = a² - b²   a( b + c) = ab + ac a (b - c) = ab - ac a( b + c) + d( b + c) = (a + d) (b + c)

3x – 5 + 23x – 9 = 26x - 14

2 . 13x = 26x

2. -7 = -14

2 ( 13x -7) so answer is C

or another way :

a. 2(14x -6)  = 28x - 12

b. 3x(13x-6)  = 39x² - 18x

c. 2(13x -7)  = 26x - 14

d. 3x(13x - 5) = 39x² -15x

so answer is C

Hope this helps ^-^

Corina is making punch for a family reunion. Her recipe calls for 2 and 1⁄2 cups of lemonade per batch. She plans to make 20 batches or punch for the reunion. ​How many gallons of lemonade does she need?

PLEASE NEED STEPS

Answers

Answer:

50

Step-by-step explanation:

2 1/2=5/2

(5/2)(20)=100/2

A laundry basket has 24 T-shirts In it 4 are navy 12 are red and the remaining or white.What is the probability of selecting green shirt?

Answers

Answer:

0%

Step-by-step explanation:

There are 4 navy shirts.

There are 12 red shirts.

The rest are white.

That means there isn't any green shirts.

What is the area of the parallelogram?

Answers

Answer:

A=112 in. squared

Step-by-step explanation:

A=bxh=14·8=112

Step-by-step explanation: In this problem, we're asked to find the area of the parallelogram shown. Remember that a parallelogram is a quadrilateral with two pairs of parallel sides.

The formula for the area of a parallelogram is bh.

Since the base of the parallelogram is 14 inches and the height of the parallelogram is 8 inches, we can plug this information into the formula

to get (14 in.)(8 in.) which equals 112 in.².

in danville the library is due south of the courthouse and due wesr of the community swimming pool. if the distance between the library and the countries is 3.9 kilometers and the distance between the courthouse and the city pool is 4.4 kilometers, how far is the library fron the community pool? round to the nearest tenth if necessary. (this is pythagorean theorem btw)​

Answers

Answer: 2 kilometers.

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:

c^2 = a^2 + b^2

Where c is the hypotenuse of the triangle, the longest side  (in this case the distance between  the courthouse and the city pool) and a and b are the other sides.

Replacing with the values given:

4.4^2 = 3.9^2 + b^2

19.36 = 15.21+b^2

19.36-15.21 = b^2

4.15 = b^2

√4.15 = b

b=2 km

Feel free to ask for more if needed or if you did not understand something.

Will mark as brainliest if correct

Answers

Answer:

x = 2

Step-by-step explanation:

9^2 or 9(9) = 81

The circumference of a circle is 8.65cm. Find the length of the diameter. Give your answer rounded to 2 DP.

Answers

Answer:

D = 2.75 cm

Step-by-step explanation:

D = C÷ π

D = 8.65 ÷ 3.14

D = 2.754

D = 2.75 cm

Answer:

d = 2.75 cm

Step-by-step explanation:

C = 2π·r } => C = dπ => d = C/π

2r = d

d = 8.65cm/3.14 ≈ 2.75 cm

What is the value of b?


36

63

40
75

Answers

Answer:

[tex] \boxed{b\degree = 36\degree} [/tex]

Step-by-step explanation:

Property used: An exterior angle of a triangle is equal to the sum of the opposite interior angles.

[tex] = > 81 \degree + b \degree = 117 \degree \\ \\ = > b \degree = 117 \degree - 81 \degree \\ \\ = > b \degree = 36 \degree [/tex]

Dafydd bought a bike for £300 on 1st February 2010. Every year the value of the bike depreciates by 18% of its' value at the start of the year. Find the value of the bike on 1st February 2014.

Answers

Answer: £165.41

Step-by-step explanation:

Price of bike when purchased in 2010 = £300

Depreciation rate yearly = 18%

Value of bike in 2011

Purchased price - depreciation value

= £300 - £300 * 0.18

= £300 - £54

= £246

Value of bike in 2012

= 2011 Price - depreciation value

= £246 - £246 * 0.18

= £246 - £44.28

= £201.72

Value of Bike in 2013

= price of 2012 - depreciation value

= £201.72 - £201.72 * 0.18

= £201.72 - £36.31

= £165.41

Price in 2014 would be £165.41

Gary drew a rectangle with a perimeter of 16 inches. Then he tried to draw a square with a perimeter of 16 inches.

Select the dimensions of the rectangle drawing.
16 inches by 7 inches 1 inch by 7 inches
16 inches by 1 inch7 inches by 4 inches

Select the dimensions of the square drawing.

1 inch by 1 inch
4 inches by 4 inches
16 inches by 16 inches
7 inches by 7 inches

Answers

Answer: I think u have to multiply all da numbers.

Step-by-step explanation:

Answer:

ooofffffffff

Step-by-step explanation:

954 1850 1200 1200 1350 1999 1888
Calculate the average (arithmetic mean) of the list of numbers shown in the table. (rounded to the nearest tenth)

Answers

Answer:

1,491.6

Step-by-step explanation:

add all numbers:

954 + 1850 + 1200 + 1200 + 1350 + 1999 + 1888 = 10,441

divide sum by the numbers added:

10,441 / 7 = 1,491.6

Approximate the real zeros of /(x) = x2 + 3x + 2 to the nearest tenth.
2.1
b.
1.0
-2.-1
a.
0.-1
d.

Answers

Answer:

x = - 2, x = - 1

Step-by-step explanation:

Given

f(x) = x² + 3x + 2

To find the zeros let f(x) = 0, that is

x² + 3x + 2 = 0

Consider the factors of the constant term (+ 2) which sum to give the coefficient of the x- term (+ 3)

The factors are + 2 and + 1, since

2 × 1 = 2 and 2 + 1 = 3, thus

(x + 2)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x + 1 = 0 ⇒ x = - 1

Answer:

Real Zeros: -1, -2

Step-by-step explanation:

[tex]x^{2} +3x+2=0\\[/tex]

Plug into quadratic equation formula:

[tex]\frac{-3+\sqrt{3^{2}-4ac} }{2(1)}= -1 \\\frac{-3-\sqrt{3^{2}-4ac} }{2(1)}= -2[/tex]

Hope this helped!

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