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antoniya [11.8K]
3 years ago
13

The volumes of two similar figures are 27 mm^3 and 1331 mm^3. If the surface area of the smaller figure is 18 mm^2, what is the

surface area of the larger figure?
Mathematics
1 answer:
trasher [3.6K]3 years ago
7 0
Volumes are in ratio 27 : 1331
so ratio od individual lengths  = cube roots  = 3 : 11
and surface areas will be in the ratio  3^2 : 11^2 = 9:121

so surface area of the larger figure  is  121 * 18  / 9  =  242 mm^2
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Sveta_85 [38]
Ok, so based on a survey - you know that out of 30 students, 11 said that their favourite subject is mathematics. :-)

This means that:

11/30 of these students think mathematics if their favourite subject.

Now, in order to answer your question, we are going to have to change the denominator of the fraction above to 1000. Whatever we do to the denominator of this fraction, we must do to the numerator of this fraction.

Example:

\frac { 11 }{ 30 } \times \frac { \frac { 1000 }{ 30 }  }{ \frac { 1000 }{ 30 }  } \\ \\ =\frac { \frac { 11000 }{ 30 }  }{ 1000 } \\ \\ =\frac { 366.\dot { 6 }  }{ 1000 }

This means that rounded to the nearest ten, theoretically speaking, 370 students out of 1000 would say that mathematics is their favourite subject.
7 0
3 years ago
Read 2 more answers
Find the diameter(s) of circle O.
schepotkina [342]

Answer:

The diameter of the circle O is <em>12 units</em>

Step-by-step explanation:

There is no data in the image provided. To better help you, I'm assuming we have an arbitrary value of  

BC=6\sqrt{2}

and the triangle B0C is right

<u>Relations in the Circle</u>

The diameter (D) is twice the radius (r) and the radius is the distance measured from the center of the circle to any point of the circumference.  

Since the triangle B0C has a right angle, BD is the hypotenuse and 0B=0C=r

Applying Pythagoras's theorem:

BC^2=r^2+r^2=2r^2

Thus we have

2r^2=(6\sqrt{2})^2

2r^2=72

r^2=36

r=6

The diameter of the circle O is D=2(6) = 12 units

5 0
3 years ago
When you finally retire, you want to be able to draw from an account an annual salary of $100,000 for 20 years. Approximately ho
tankabanditka [31]
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PV = 100000(1 - (1 + 0.05)^-20) / 0.05 = 100000(1 - 1.05^-20) / 0.05 = 100000(1 - 0.3769) / 0.05 = 100000(0.6231) / 0.05 = 100000(12.4622) = 1,246,221 ≈ $1,250,000
4 0
3 years ago
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Question 4
skelet666 [1.2K]

Answer:

See explanation

Step-by-step explanation:

You forgot to give the coordinates of C.

Note that, the mapping for 90° clockwise rotation around the origin is given by:

(x,y)\to (-y,x)

Assuming the coordinates of C were (-6,6), then the coordinates of C after a 90° clockwise rotation

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8 0
3 years ago
Cheese sticks that were previously priced at "10 for $1" are now "4 for $1". Find each percent change.
statuscvo [17]

original quantity : 10 for $1

new quantity: 4 for $1

now we have to find each percent change

10-4=6

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6 0
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