1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alinara [238K]
4 years ago
14

What is the scale factor, perimeter ratio, surface ratio, and the volume ratio?????????????????????????????

Mathematics
1 answer:
tamaranim1 [39]4 years ago
3 0

Answer:

Scale factor = \frac{4}{9}

Perimeter ratio = 4 : 9

Surface area ratio = 16 : 81

Volume ratio = 64 : 729

Step-by-step explanation:

Volume ratio = \frac{\text{volume of small prism}}{\text{Volume of large prism}}

                      = \frac{128}{1458}

                      = \frac{64}{729}

                      = 64 : 729

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

                    = \sqrt[3]{\frac{64}{729}}

                    = \frac{4}{9}

Perimeter ratio = Scale factor

                         = \frac{4}{9}

                         = 4 : 9

Surface area ratio = (Scale factor)²

                              = (\frac{4}{9})^{2}

                              = \frac{16}{81}

                              = 16 : 81

You might be interested in
Suppose y varies jointly as x & z. If y = -180 when z = 15and x = -3,then find y when x = 7 and z = -5. 1 point
sweet [91]

Answer:

y = - 140

Step-by-step explanation:

The statement

y varies jointly as x & z is written as

<h3>y = kxz </h3>

to find y when x = 7 and z = -5 we must first find the relationship between the variables

when y = - 180

z = 15

x = - 3

- 180 = k(15)(-3)

-180 = - 45k

Divide both sides by - 45

k = 4

The formula for the variation is

<h2>y = 4xz</h2>

when

x = 7

z = -5

y = 4(7)(-5)

y = 4(-35)

<h3>y = - 140</h3>

Hope this helps you

7 0
4 years ago
3x-(2x+4x-6) is equivalent to?
Agata [3.3K]

If there is suppose to be a negative sign.

3x -1(2x + 4x - 6)

Distribute the -1 to all terms within the parenthesis

-1(2x + 4x - 6) = -2x - 4x + 6

3x - 2x - 4x + 6

Simplify. Combine like terms

(3x - 2x - 4x) + 6

-3x + 6

-3x + 6 is your answer

hope this helps

5 0
3 years ago
Given the linear equation 4x +6y - 9 =0, another linear equation in two variables such that the geometrical representation of th
Kisachek [45]

Answer:

Step-by-step explanation:

Hi, I'm a tutor and I can help you with all your assignments. Just message me here https://toplivewriters.com . I'm online 24/7

Thanks.

7 0
3 years ago
The Benton family wants to put a circular fence around their pool. They want it to be exactly 15 feet from the center of the poo
Eva8 [605]
The answer is <span>B. 94
</span>
The perimeter of a circle is:
P = 2 π r

The distance from the center of the pool to the fence is actually a radius of the circle:
r = 15 ft

P = 2 * 3.14 * 15
P = 94.2 ft² ≈ 94 ft²
6 0
3 years ago
Help me solve this. please
navik [9.2K]

Answer:

B, 6

Step-by-step explanation:

In the equation (x - c)² + (y - d)² = r², (c, d) is the center and r is the radius. In this case, c = -2, d = 7 and r = 6 so the center is (-2, 7) and the radius is 6.

5 0
3 years ago
Other questions:
  • What is the perimeter of a polygon with vertices at ​ (3, 2) ​, ​ ​ (3, 9) ​​, (7, 12) , ​ (11, 9) ​​, and ​​ ​ (11, 2) ​?
    14·1 answer
  • Please help me please help me
    8·1 answer
  • What is the LCM of two numbers that have no common factors greater than one give an example
    14·1 answer
  • 8.02 x 10^-2 in standard form
    5·2 answers
  • On a coordinate plane, a line is drawn from point A to point B. Point A is at (7, negative 2) and point B is at (negative 8, neg
    8·2 answers
  • Find the annual premium for the insurance policy described in the following problem.
    6·2 answers
  • Quadrilateral N' is the image of quadrilateral N under a dilation.
    12·2 answers
  • Urn 1 contains 4 blue tokens and 9 red tokens; urn 2 contains 12 blue tokens and 5 red tokens. You flip a coin twice and if you
    6·1 answer
  • Graph the function -4x + 3y = 15
    15·1 answer
  • Which statement correctly compares the function shown on this graph with
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!