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MatroZZZ [7]
3 years ago
7

Which change will quadruple the lateral surface area of a cone?

Mathematics
2 answers:
olasank [31]3 years ago
7 0

Answer:

D)Increase the height so that the slant height quadruples.

Step-by-step explanation:

Given that a cone undergoes changes in height or radius or slant height.

We have to find which change will quadruple the lateral surface area of cone.

Lateral surface area of cone = \pi r l

Thus depends on radius and slant height

Let us check one by one options

A) When radius quadruples by increasing slant height we find lateral SA

will change more than quadruples because of change of slant height. Hence wrong.

B) When we quadruple the height 4 times, slant height will not be quadrupled exactly hence option is wrong.

C) If both radius and height are quadrupled then LSA will become 16 times the original hence false.

D) When we increase the height so that slant height quadruples, then radius will be the same, thus making LSA = 4 times the original

Option D is right.

vlada-n [284]3 years ago
6 0
Don't know try something else it will probably help
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B) Expand and simplify. (m-3) (m+2)​
ivolga24 [154]

Answer:

m^2 - m - 6

Step-by-step explanation:

(m-3)(m+2)

m^2 - 3m + 2m - 6

m^2 - m - 6

6 0
1 year ago
Read 2 more answers
Suppose that poaching reduces the population of an endangered animal by 6​% per year. Further suppose that when the population o
artcher [175]

If poaching reduces the population of an endangered animal by 6% and the criteria of population extinction is 20 with present population 1500 then it will take 3.62 years to reach to the mark of extinction.

Given Poaching reduces the population of endangered animals by 6% per year. The criteria of population extinction is 20. Present population being 1500.

Number of years taken by the population of endangered animals to reach to 20 mark can be calculated as under:

20=1500*(1-0.06)^{n}

20=1500*0.94^{n}

20/1500=0.94^{n}

0.133=0.94^{n}

take log both sides

log(0.133)=log0.94^{n}-------1

log(0.133)=nlog (0.94)

put the values log values:

log(0.133)=-0.8761

log(0.94)=-0.0268

Taking 1

-0.8761=n*(-0.0268)

n=0.8761/0.0268

n=3.269

Hence to reach level of 20 the population takes 3.2 years.

Learn more about logarithm at brainly.com/question/25710806

#SPJ10

8 0
1 year ago
when buying a new dress, you have the choice of 3 different lengths, 5 different colors, and 2 different styles. How many choice
Thepotemich [5.8K]
Three choice because the choice are all different
5 0
3 years ago
Read 2 more answers
How do I solve this question?
Sati [7]

Answer:

m=2 and n=3

Step-by-step explanation:

<u>Step</u> :-

Given  [ 2 x^{n}y^{2} ]^m = 4 x^6 y^4

using algebraic formula (a^m)^n= a^{mn}

now

2^{m} x^{mn} y^{2m} = 4x^{6} y^{4}

now equating 'x' powers, we get

x^{mn} = x^{6}

mn=6 ....(1)

now

y^{2m} = y^{4}

Equating 'y' powers ,we get

2 m=4

m=2

substitute m= 2 in equation (1)

we get

2 n=6

n=3

verification:-

substitute m=2 and n=3 , we get

[ 2 x^{n}y^{2} ]^m = 4 x^6 y^4

(2 x^{3} y^2)^2 = 4 x^6 y ^4\\

4 x^6 y^4 = 4 x^6 y^4

both are equating so m= 2 and n=3

4 0
2 years ago
$668 at 9.25% for 5 years
madreJ [45]

Answer:

$21.17

Step-by-step explanation:

Simple Interest=P(1+r)^t

Compounded Interest=P(e^rt)

SI=668*(1.0925)^5

SI=1039.64

CI=668(e^(0.0925*5))

CI=1060.81

1060.81-1039.64=21.17

So the difference is $21.17, thus doing compounded interest is better.

8 0
3 years ago
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