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
Allushta [10]
2 years ago
12

A prism is dilated by a factor of 1. 5. How many times larger is the volume of the resulting prism than the volume of the origin

al prism? Enter your answer as a decimal in the box.
Mathematics
1 answer:
andre [41]2 years ago
3 0

The volume of the resulting prism is 3.375 times of original volume.

<h3>What is a dilation or scale factor?</h3>

The factor by which the dimensions of an object are enlarged is called the scale factor.

Let us take the base area of Prizm = a²

Height of the prism = h

Enlarged area = (scale factor)² * previous area

Enlarged area = 1.5²*a² = 2.25a²

Enlarged height = 1.5h

So, enlarged volume = enlarged area* enlarged height

Enlarged volume= 2.25a²*1.5h = 3.375a²h

Enlarged area/previous area = 3.375a²/a² = 3.375

Therefore, the volume of the resulting prism is 3.375 times of original volume.

To get more about dilation visit to:

brainly.com/question/10253650

You might be interested in
1. At Parker's Pizza Parlor, the total cost of an order of 5 slices of pizza is $12.37. This price includes $1. 12 in
Karo-lina-s [1.5K]
To find the cost of one slice 12.37/5= 2.47 per slice.

so y= 2.47p+1.12

3 0
3 years ago
Find the radius and diameter of circle A, if the endpoints of the radius<br> are (-2, -1) and (6,4).
AleksandrR [38]

Step-by-step explanation:

length \: between \: ( - 2, - 1) \: and \: (6,4) \\  =  \sqrt{(x _{1} - x  _{2} )² + (y _{1}  - y _{2})²  }  \\  =  \sqrt{( -  2 - 6)²+ ( - 1 - 4)²}  \\  =   \sqrt{64 + 25}  \\  =  \sqrt{100}  \\  = 10 \: units \\ radius = 10 \: units \\ diameter = 2 \times radius \\ d = 2 \times 10 \\ d = 20 \: units

8 0
2 years ago
Choose the expression that completes the equation.
worty [1.4K]
The correct answer would be 3(7+1) because 7+1=8 and 8 times 3 equals 24. 24 divided by six is 4 plus 20 would also be 24.
5 0
3 years ago
The Food and Drug Administration (FDA) produces a quarterly report called Total Diet Study. The FDA’s report covers more than 20
pav-90 [236]

Using the normal approximation to the binomial, it is found that:

  • The mean of X is of 52 samples.
  • The standard deviation of X is of 4.2661 samples.
  • 0.0017 = 0.17% probability that less than half without any traces of pesticide.

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

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, with mean given by:  

E(X) = np

And standard deviation of:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution  

Z-score formula is used, which, in a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • Each z-score has an associated p-value, which measures the percentile of measure X.

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

  • 65% of samples had no pesticide, thus p = 0.65
  • 80 samples, thus n = 80

The mean of X is of:

E(X) = np = 0.65(80) = 52

The standard deviation of X is of:

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{80(0.65)(0.35)} = 4.2661

Using the approximation and continuity correction, the probability is P(X < 40 - 0.5) = P(X < 39.5), which is the p-value of Z when X = 39.5. Thus:

Z = \frac{X - \mu}{\sigma}

Z = \frac{39.5 - 52}{4.2661}

Z = -2.93

Z = -2.93 has a p-value of 0.0017, thus:

0.0017 = 0.17% probability that less than half without any traces of pesticide.

A similar problem is given at brainly.com/question/24261244

8 0
1 year ago
Which congruence is used in triangulation?
Sedbober [7]
Side angle side (SAS)
7 0
3 years ago
Other questions:
  • 872,000,000,000 in standard form
    14·2 answers
  • Rearrange to make x the subject a= 4x/t -p
    13·1 answer
  • Look at the cone above. If r = 6 cm and h = 6 cm, what is the volume of the cone? (Assume = 3.14)
    9·2 answers
  • What set of Reflections and rotations could carry rectangle ABCD onto itself
    14·1 answer
  • Find the range for the list of numbers
    6·2 answers
  • Find the surface area of this rectangular solid.
    13·1 answer
  • 15 POINTS PLEASE HELP!!!
    6·1 answer
  • In the opposite figuret triangle OAB has an area of 72 cm2 and. Triangle ODC has an area of 288 Cm2 Then XandY equal​
    9·1 answer
  • Who wanna tal.k? im b0red :P (also ima female w/ blond hair, blue eyes, and medium body type)
    13·2 answers
  • If 1/2 a number is 5 more than 1/7 of that number, what is the number?​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!