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Ratling [72]
3 years ago
10

In the Changing Dimensions of 3D Figures

Mathematics
1 answer:
den301095 [7]3 years ago
7 0

Answer:factor of 9

Step-by-step explanation:

Given

prism were changed by a scale factor of 3

Suppose prism is rectangular in shape

So surface are is S.A.=2(lw+wb+lb)

Where l=length

w=width

b=breadth

So new length,breadth and width is

l'=3l

w'=3w

b'=3b

S.A.=2(3\times 3lw+3\times 3wb+3\times 3lb)

S.A.=2\times 3^2(lw+wb+lb)

S.A.=3^2\times 2(lw+wb+lb)

So new surface area would change by a factor of 9

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fritz wrote a set of related facts for the array below.which equation is not intended in the set of related facts for this array
oksian1 [2.3K]
Do you have the equation choices?
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2 years ago
The half life of a radioactive substance is the time it takes for a quantity of the substance to decay to half of the initial am
Veronika [31]

Using an exponential function, it is found that:

a) N(t) = 75(0.5)^{\frac{t}{3.8}}

b) 37.5 grams of the gas remains after 3.8 days.

c) The amount remaining will be of 10 grams after approximately 11 days.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

Item a:

We start with 75 grams, and then work with a half-life of 3.8 days, hence the amount after t daus is given by:

N(t) = 75(0.5)^{\frac{t}{3.8}}

Item b:

This is N when t = 3.8, hence:

N(t) = 75(0.5)^{\frac{3.8}{3.8}} = 37.5

37.5 grams of the gas remains after 3.8 days.

Item c:

This is t for which N(t) = 10, hence:

N(t) = 75(0.5)^{\frac{t}{3.8}}

10 = 75(0.5)^{\frac{t}{3.8}}

(0.5)^{\frac{t}{3.8}} = \frac{10}{75}

\log{(0.5)^{\frac{t}{3.8}}} = \log{\frac{10}{75}}

\frac{t}{3.8}\log{0.5} = \log{\frac{10}{75}}

t = 3.8\frac{\log{\frac{10}{75}}}{\log{0.5}}

t \approx 11

The amount remaining will be of 10 grams after approximately 11 days.

More can be learned about exponential functions at brainly.com/question/25537936

4 0
1 year ago
Help me please I will give 12 points
solong [7]

Answer: Was known for rising from birth among tribal nomads and ruling an empire that would eventually span 3 continents.


Step-by-step explanation:


5 0
3 years ago
What is the ratio 15 : 24 written in lowest terms?
enot [183]
15:24
divide both sides by 3
b. 5:8
for 6:30
divide both sides by 6
1:5
7 0
2 years ago
Read 2 more answers
Is this correct? if not what is the answer
LenaWriter [7]

Answer:

x = 50

Step-by-step explanation:

You are correct.

x + m<PQS + m<PSQ = 180

m<PQS = m<QRT = 70

m<QST + m<PSQ = 180

120 + m<PSQ = 180

m<PSQ = 60

x + 70 + 60 = 180

x + 130 = 180

x = 50

Great job!

4 0
2 years ago
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