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3 years ago

The two solids are similar and the ratio between the lengths of their edges is 2:7 what is the ratio of their surface areas?

Mathematics

1 answer:

vovangra [49]3 years ago

8 0

Answer:

The ratio of their surface areas is $\frac{4}{49}$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

In this problem the scale factor is equal to the ratio $\frac{2}{7}$

and

Remember that

If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared

therefore

In this problem the ratio of their surface areas is $(\frac{2}{7})^{2}=\frac{4}{49}$

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Six times the difference of a number and three is equal to three less than the number.

icang [17]

Answer:

x=3

Step-by-step explanation:

lets take x as the number

6(x-3)=x-3

since it says "6 times" we know that we will have to multiply the difference by 6 and it says the difference of a number and 3 is equal to 3 less than the number so we know that we are subtracting 3 from x

6x-18=x-3

6x-x=18-3

5x=15

x=3

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3 years ago

QUESTION 1 of 10: Generally, parties of 8 or more require many restaurants to include gratuity of 18% on the check before presen

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Answer: D) 49.86

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3 years ago

You are on the south side of a river and you need to cross the river in order to get to a campsite. Not

Doss [256]

Answer:

Width of river = 0.25 mile

As length of river is not given , but it is given that campsite is located 1 mile east upstream, So length of river = 1 mile

Speed of mine in river while going upstream = 3 miles per hour

Speed of current as going Upstream = 1 miles per hour

Now Reduced speed of mine = Speed of mine in river while going upstream - Speed of current as going Upstream

= 3 - 1

= 2 miles per hour

1. There are two ways to reach campsite

(a) either walk 1 mile from starting point in east direction and then swim 0.25 mile in North direction to reach campsite.

(b) From the starting point Considering a right triangle having, base=1 mile and altitude = 0.25 mile, then finding the length of hypotenuse using formula = $\sqrt{(altitude)^2 + (Base)^2$

= $\sqrt{.25^2+1^2}$

=√1.0625

=1.03078(approx)

⇒ you must walk a distance of 1 mile in the east direction and then swim 0.25 mile north direction to reach directly at campsite.[shown in the diagram]